The correct answer is −8p − 5q. This is because when multiplying two numbers, the two signs are combined.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
Since both −4 and (2p − 5q) are negative, the resulting product is also negative. To calculate the expression, it is simply a matter of multiplying the two numbers together: −4 * (2p − 5q) = −8p − 5q.
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If the daughter's quilt has a length of 2 yards and a width of 1 yard, and the doll's quilt has a length of what is the width of the doll's quilt?
The similar doll's quilt has a width of (1/4) yards.
What is similarity of shapes?Two or more than two shapes are said to be similar if they have equal corresponding measures of angles and the ratio of corresponding sides should be the same.
Given, The daughter's quilt has a length of 2 yards and a width of 1 yard
and the other similar quilt ahs a length of (1/2) yards.
Now, (1/2)/(2) = 1/4.
Therefore, The width of a similar quilt is (1/4)×1 = 1/4 yards.
Q. A woman sews similar quilts for her daughter's doll. If the daughter's quilt has a length of 2 yards and a width of 1 yard, and the doll's quilt has a length of 1/2 yard, what is the width of the doll's quilt?
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The diameter of a circle is 12 millimeters. What is the circle's circumference?
Answer:
37.7 mm
Step-by-step explanation:
2 is added to five times a number and the result is 72 what is the number
Answer:
the number is 14.
Step-by-step explanation:
Let's start by using algebra to solve the problem.
We can translate the given information into an equation:
5x + 2 = 72
where x is the unknown number.
To solve for x, we need to isolate it on one side of the equation. We can do this by first subtracting 2 from both sides:
5x = 70
Then, we can divide both sides by 5:
x = 14
Therefore, the number is 14.
Math help! Get back to me in 30 minutes or less please! :)
Please solve for the variable indicated.
I= Prt, solve for t
If you could break it down step by step that would be super helpful! I’m very confused. Thank you!
Answer: thanks for 14 points
Step-by-step explanation:lol
The linear system above represents the sales of large and small popcorn servings at a movie theater for two consecutive days. 42L+ 61S=$393
59L+78S=$529
What is the size of the augmented matrix for this system?
answer choices
3 x 2
2 x 3
3 x 3
2 x 4
The size of the augmented matrix for this system will be 2x3. Option B is the correct answer.
Augmented matrix is a mathematical tool developed in matrix theory to solve linear equations that combine two matrices or vectors to make a new matrix type.
For solving linear equations, the coefficients of the linear equations are written in a matrix form with a column beside it containing its constant values, which makes it an augmented matrix.
one example of an augmented matrix is,
x+y=1
x-y=2
can be represented as
= [tex]\left[\begin{array}{ccc}42&61&|393\\59&78&|529\\\end{array}\right][/tex]
In the given question the linear equations contain two variables, hence the number of rows in the augmented matrix will be 2.
Since it is an augmented matrix it will contain 3 columns with 2 columns of the coefficient matrix and 1 column of the constant matrix.
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Identify the circumstances in which the median rather than the mean is the preferred measure of central tendency. (Select all that apply.)
undetermined scores
nominal scale
large mean
skewed distribution
open-ended distribution
normal distribution
large variance
ordinal scale
The circumstances in which the median is the preferred measure of central tendency is given as follows:
Skewed distribution.Ordinal scale.What is the mode?There are three measures of central tendency of a data-set, which are defined as follows:
Mean.Median.Mode.The median represents the middle value of the distribution, hence it should be used in these following cases:
Skewed distribution.Ordinal scale.They should be used in this case as the median is less affected by outliers compared to the mean.
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80% of a number is x. What is 100% of the number? Assume x>0
The 100 percent of the asked number is 5x/4
What is percent?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Given that, 80% of a number is x, we need to find 100% of the number,
Let the number be y,
Therefore,
80% of y = x
y = 5x/4
Therefore, the number is 5x/4
100% of 5x/4 = 5x/4
Hence, the 100 percent of the asked number is 5x/4
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How many yellow pencils are there if there are 5, 7, 9, 11, or 13 blue ones
There are 6, 8, 10 are yellow pencils.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single one.
Unitary method is a technique so that we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. This is the method that we use for most of the calculations in math.
We are given that if there are 5, 7, 9, 11, or 13 blue ones.
Then the rest could be the yellow pencils.
Which are as follows;
6, 8, 10
These could be the yellow pencils are there, if there are 5, 7, 9, 11, or 13 blue ones
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The complete question is;
There are total number of 8 pencils. How many yellow pencils are there if there are 5, 7, 9, 11, or 13 blue ones
For each of the following three populations, indicate what the sampling distribution for samples of 25 would consist of: a. Customer receipts for a supermarket for a year. b. Insurance payouts in a particular geographical area in a year. c. Call center logs of inbound calls tracking handling time for a credit card company during the year
The sampling distribution of the mean will be approximately normal, regardless of the underlying population distribution.
What is population sampling?Population sampling is the process of selecting a representative sample from a larger population for the purpose of making statistical inferences about the population.
a. The sampling distribution for samples of 25 customer receipts for a supermarket for a year would likely be approximately normally distributed. This assumes that the receipts are randomly selected from the entire population of receipts and that the population distribution of receipts is roughly normal.
The central limit theorem suggests that for a sufficiently large sample size (usually at least 30), the sampling distribution of the mean will be approximately normal, regardless of the underlying population distribution.
b. The sampling distribution for samples of 25 insurance payouts in a particular geographical area in a year would likely be positively skewed, assuming that most payouts are relatively small and a few are very large. The central limit theorem may still apply, but the distribution of the sample means would not be exactly normal.
c. The sampling distribution for samples of 25 call centre logs of inbound calls tracking handling time for a credit card company during the year would likely be approximately normally distributed. This assumes that the call centre logs are randomly selected from the entire population of logs and that the population distribution of handling times is roughly normal.
The central limit theorem suggests that for a sufficiently large sample size (usually at least 30), the sampling distribution of the mean will be approximately normal, regardless of the underlying population distribution.
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he contents of a sample of 26 cans of apple Juice showed a standard deviation of 0.06 ounces. we are interested in testing to determine whether the variance of the population is significantly more than 0.003. The alternative hypothesis is a. S 0.003 b. S 0.003 c. ?,0.003 d. ?2 0.003
The alternative hypothesis for this problem is that the population variance is significantly more than 0.003, represented as [tex]H1: S2 > 0.003.[/tex]
To test this hypothesis, we can use a chi-square test of variance. This test is calculated as [tex]X2 = (n-1) * (s2/σ2)\\[/tex], where n is the sample size, s2 is the sample variance, and σ2 is the hypothesized population variance.
In this case, the sample size is 26, so n = 26. The sample variance is 0.06, so s2 = 0.06. The hypothesized population variance is 0.003, so σ2 = 0.003. Plugging these values into the formula above gives us [tex]X2 = (26-1) * (0.06/0.003) = 75.[/tex]
Since this value is greater than the critical value of the chi-square distribution at α = 0.05, the null hypothesis can be rejected and it can be concluded that the population variance is significantly more than 0.003.
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City Donuts
recently sold 14 donuts, of which 4 were cream-filled donuts. Considering this
data, how many of the next 7 donuts sold would you expect to be cream-filled donuts?
cream-filled donuts
The expected value of cream-filled donuts the store City Donuts is selling should be 2.
What is the expected value?We are aware of In the realm of probability theory, the expected value, commonly referred to as the expected average, is a generalization of the weighted average.
Given, City Donuts recently sold 14 donuts, of which 4 were cream-filled donuts.
So, The probability of cream-filled donuts is = 4/14 = 2/7.
Therefore, The expected number of cream-filled donuts is,
= (2/7)×7.
= 2.
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coordinate plane with triangle efg with e at 0 comma 5, f at 1 comma 1, and g at negative 2 comma 1. point h at 1 comma 1 is on segment gf, and points e and h are connected with a segment.triangle efg is dilated by a scale factor of 3 centered at (0, 1) to create triangle e'f'g'. which statement is true about the dilation? (1 point)
Option A. segment EH and segment E prime H prime both pass through the centre of dilation is true.
Given triangle EFG:
E(0, 5), F(1, 1), G(-2, 1)
Center of dilation is H(0, 1)
The scale factor is k = 3
The rule for this dilation is:
(x, y) → (k(x - a) + a, k(y - b) + b)
(x, y) → (3x, 3(y - 1) + 1) = (3x, 3y - 2)
The coordinates of E'F'G' are:
E → E' = (0, 5) → (0, 13)
F → F' = (1, 1) → (3, 1)
G → G' = (-2, 1) → (-6, 1)
Points H and H overlap as the centre of dilation at (0, 1)
a. Segment EH and segment E prime H prime both pass through the centre of dilation.
True
b. The slope of segment EF is similar to the slope of segment E prime H prime.
False
c. Segment EG will overlap Segment E prime G prime.
False
d. The Segment EH ≅ to segment E prime H prime.
False
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The correct question is:
Coordinate plane with triangle EFG with E at 0 commas 5, F at 1 comma 1, and G at negative 2 commas 1. Point H at 1 comma 1 is on segment GF, and points E and H are connected with a segment.
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?
a. segment EH and segment E prime H prime both pass through the center of dilation.
b. The slope of segment EF is the same as the slope of segment E prime H prime.
c. segment E prime G prime will overlap segment EG.
d. segment EH ≅ segment E prime H prime.
3 Answer:
Solve the proportion: 4/(x+1) = 3/(x+2)
4 Answer:
Solve the proportion: x/(x+3) = (x-2)/x
The solution to the proportion 4/(x+1) = 3/(x+2) is x = -5 and
The solution to the proportion x/(x+3) = (x-2)/x is x = 2.
What do you mean by quadratic polynomials?A quadratic polynomial is a polynomial of degree 2, which means that the highest power of the variable in the polynomial is 2. A quadratic polynomial can be expressed in the general form:
a[tex]x^2[/tex] + bx + c
where a, b, and c are constants, and x is the variable.
In this form, coefficient a is the leading coefficient, and it determines the concavity of the quadratic function. If a is positive, the function is concave up, meaning that it opens upward and has a minimum value. If a is negative, the function is concave down, meaning that it opens downward and has a maximum value.
The quadratic polynomial is named as such because it is a polynomial of degree 2, and the term "quad" means "square." The quadratic function is commonly seen in geometry, algebra, and physics, and it has many applications in real-life problems, such as finding the maximum or minimum values of a function, determining the trajectory of a projectile, and modeling certain natural phenomena.
Quadratic polynomials can be solved by various methods, including factoring, completing the square, and using the quadratic formula.
To solve the proportion 4/(x+1) = 3/(x+2), we can cross-multiply to get:
4(x+2) = 3(x+1)
Expanding the brackets gives:
4x + 8 = 3x + 3
Subtracting 3x from both sides gives:
x + 8 = 3
Subtracting 8 from both sides gives:
x = -5
To solve the proportion x/(x+3) = (x-2)/x, we can cross-multiply to get:
[tex]x^2[/tex] - 2x = (x+3)(x-2)
Expanding the brackets gives:
[tex]x^2[/tex]- 2x = [tex]x^2[/tex] + x - 6
Subtracting[tex]x^2[/tex] from both sides gives:
-2x = x - 6
Subtracting x from both sides gives:
-3x = -6
Dividing both sides by -3 gives:
x = 2
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camilla walks at a steady pace for 5 minutes, stops in the same location for 2 minutes, then continues on at a faster pace for 3 more minutes until she reaches her destination. camilla claims that the relationship between the time spent walking and the distance traveled is not a function because of the time she stood still. which of the following correctly explains why this is still a function?
The given relationship is a function, as of the given condition it consists of 3 sub-functions,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Let's assume that, 3-time intervals
1 . 0 to 5
2. 5 to 7
3. 7 to 10
So for intervals, we have 3 different equation of functions which represents the distance traveled by Camilla in time t.
Thus, the given relationship is a function, as of the given condition it consists of 3 sub-functions.
When she increased her pace, she principally made up for lost time standing at the position. assuming that she made it in the same quantum of time if she did not stop, you can assume that she didn't waste presently time because she picked up the pace.
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What are the coordinates of R′ for the dilation centered at P with scale factor 0.5?
The coordinates of R′ for the dilation centered at P with scale factor 0.5 is (2, 2.5).
What is Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.
Given:
Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.
The coordinate of the R' after the dilation is (-1,-0.5)
Given:
The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).
The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,
Q' = Q- P
Q' = (-3 -(-3), 2- (-3))
Q' = (0, 5)
Similarly for R' = R- P
R' = (1 -(-3), 2- (-3))
R' = (4, 5)
and, after dilation by scale factor 0.5 then
R" = 0.5 x (4, 5)
R" = (2, 2.5)
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Find the measure of the angle indicated
Select which option is most appropriate for describing the number line below.
A number line is divided into twelfths with each twelfth labeled. A dashed arrow is shown starting at ten-twelfths and ending at, as well as pointing to, seven-twelfths. Another dashed arrow is shown starting at seven-twelfths and ending at, as well as pointing to, three-twelfths.
A.
4
12
+
3
12
−
3
12
=
10
12
B.
10
12
−
3
12
−
3
12
=
4
12
C.
10
12
−
3
12
−
4
12
=
3
12
D.
10
12
−
4
12
−
3
12
=
4
12
The option which is most appropriate for describing the number line below is option C. [tex]\frac{10}{12}[/tex] - [tex]\frac{3}{12}[/tex] - [tex]\frac{4}{12}[/tex] = [tex]\frac{3}{12}[/tex]
What is Number Line?A number line is a straight line drawn horizontally where the numbers are placed at an equal intervals.
Given a number line, where it is divided into twelfths, with each twelfth labeled.
So the labeled numbers are [tex]\frac{1}{12}[/tex], [tex]\frac{2}{12}[/tex], ..............[tex]\frac{10}{12}[/tex], [tex]\frac{11}{12}[/tex], [tex]\frac{12}{12}[/tex].
A dashed arrow is shown starting at ten-twelfths and ending at, as well as pointing to, seven-twelfths.
Arrow starts at [tex]\frac{10}{12}[/tex] and ends at [tex]\frac{7}{12}[/tex].
There is a distance of [tex]\frac{10}{12}[/tex] - [tex]\frac{7}{12}[/tex] = [tex]\frac{3}{12}[/tex].
So the first form of expression is [tex]\frac{10}{12}[/tex] - [tex]\frac{3}{12}[/tex] in order to get [tex]\frac{7}{12}[/tex].
Then the dashed arrow starts from [tex]\frac{7}{12}[/tex] and ends at [tex]\frac{3}{12}[/tex].
There is a distance of [tex]\frac{7}{12}[/tex] - [tex]\frac{3}{12}[/tex] = [tex]\frac{4}{12}[/tex].
So the second form is [tex]\frac{7}{12}[/tex] - [tex]\frac{4}{12}[/tex] in order to get [tex]\frac{3}{12}[/tex].
So the complete description of the number line is,
[tex]\frac{10}{12}[/tex] - [tex]\frac{3}{12}[/tex] - [tex]\frac{4}{12}[/tex] = [tex]\frac{3}{12}[/tex]
Hence the correct option is [tex]\frac{10}{12}[/tex] - [tex]\frac{3}{12}[/tex] - [tex]\frac{4}{12}[/tex] = [tex]\frac{3}{12}[/tex].
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"A shipment of 1500 washers contains 400 defective and 1100 non-defective washers. two hundred washers are chosen at random (without replacement) and classified as defective or non-defective. A. what is the probability that exactly 90 defective washers are found? (do not compute out.) B. what is the probability that at least 2 defective items are found? (do not compute out.)"
The probability of exactly 90 defective washers is approximately 0.021, and the probability of at least 2 defective items is approximately 0.985.
A shipment of 1500 washers contains 400 defective and 1100 non-defective washers. The probability of exactly 90 defective washers being chosen and the probability of at least 2 defective items being found can be calculated using the hypergeometric distribution formula.
A. The probability of exactly 90 defective washers being chosen can be calculated using the hypergeometric distribution. The probability mass function of the hypergeometric distribution is given by:
P(X = 90) = (400 choose 90) * (1100 choose 110) / (1500 choose 200)
Substituting the given values, we get:
P(X = 90) ≈ 0.021
B. The probability of at least 2 defective items can be calculated as 1 minus the probability of 0 or 1 defective item. The probability of 0 defective items is given by:
P(X = 0) = (1100 choose 200) / (1500 choose 200)
The probability of 1 defective item is given by:
P(X = 1) = (400 choose 1) * (1100 choose 199) / (1500 choose 200)
Substituting these values, we get:
P(X >= 2) = 1 - P(X = 0) - P(X = 1) ≈ 0.985.
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The complete question is:
A shipment of 1500 washers contains 400 defective and 1100 non-defective washers. Two hundred washers are chosen at random (without replacement) and classified as defective or non-defective_ a) What is the probability that exactly 90 defective washers are found? (Do NOT compute out:) b) What is the probability that at least 2 defective items are found?
target sells24 bottles for 3 dollars and 36 for 4 dollars
Buying 36 bottles for $4 is cheaper than buying 3 bottles for 24.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Target sells 24 bottles for 3$,
Therefore, The unit price of a bottle is $(3/24) = $0.125.
Target also sells 36 bottles for $4,
Therefore, The unit price of a bottle is,
= $(4/36) = $0.11.
So, Buying 36 bottles for $4 is cheaper.
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Please help me I don't understand this.
The height of the plane to the nearest meter is, 1023. So option A is correct
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
To find the height of the plane, we can use the following formula:
height = horizontal distance x tanα
Plugging in the given values, we have:
height = 4,812 × tan(12°)
= 4,812 × 0.21213
= 1,015.7 meters
Rounding to the nearest meter, the height of the plane is 1,016 meters.
So the answer is 1,016 meters
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A certain affects virus 0.2% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below.
Infected Not Infected Total
Positive Test
Negative Test
Total 200 99,800 100,000
a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Infected | Positive Test)=
%
b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(Not Infected | Negative Test) =
%
If a certain affects virus 0.2% of the population:
a. The probability that a person has the virus given that they have tested positive is 1.7%.
b. The probability that a person does not have the virus given that they test negative is 99.8%.
How to find the probability?a) Using Bayes' theorem, we can find the probability that a person has the virus given that they have tested positive:
P(Infected | Positive Test) = P(Positive Test | Infected) * P(Infected) / P(Positive Test)
where P(Positive Test) is the probability of a positive test result, regardless of whether the person is infected or not. This can be calculated as:
P(Positive Test) = P(Positive Test | Infected) * P(Infected) + P(Positive Test | Not Infected) * P(Not Infected)
= 0.88 * 0.002 + 0.1 * 0.998
= 0.10064
Now we can plug in the given values:
P(Infected | Positive Test) = 0.88 * 0.002 / 0.10064 ≈ 0.0174
So the probability that a person has the virus given that they have tested positive is approximately 1.7%.
b) Similarly, we can use Bayes' theorem to find the probability that a person does not have the virus given that they test negative:
P(Not Infected | Negative Test) = P(Negative Test | Not Infected) * P(Not Infected) / P(Negative Test)
where P(Negative Test) is the probability of a negative test result, regardless of whether the person is infected or not. This can be calculated as:
P(Negative Test) = P(Negative Test | Infected) * P(Infected) + P(Negative Test | Not Infected) * P(Not Infected)
= 0.12 * 0.002 + 0.998 * 0.998
= 0.99796
Now we can plug in the given values:
P(Not Infected | Negative Test) = 0.998 * 0.99796 / 0.998 = 0.99796
So the probability that a person does not have the virus given that they test negative is approximately 99.8%.
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Please help !! I can’t figure this question out
Answer: also too tiny
Step-by-step explanation:
show a closer picture
Zeke and Erin were playing a game with a number cube and a spinner divided into equal ports red.
yellow, and blue. Zeke wins if the number cube is a factor of and the spinner lands on red Erin
wins if she rolls a 5 or 6 and the spinner lands on yellow or blue.
1 Create a probability table or free to show all outcomes of rolling a number cube and spinning the
spinner,
R₁
≤18
y₁
B3
2. What is the probability of Zeke winning? What is the probability of Erin winning?
The probabilities of winning are 1/6 and 2/9
How to determine the probability tableFrom the question, we have the following parameters that can be used in our computation:
Devices = Number cube and spinner
Using the above as a guide, we have the following sample space:
S = {(1, Red), (2, Red), (3, Red), (4, Red), (5, Red), (6, Red), (1, Yellow), (2, Yellow), (3, Yellow), (4, Yellow), (5, Yellow), (6, Yellow), , (1, Blue), (2, Blue), (3, Blue), (4, Blue), (5, Blue), (6, Blue)}
The probability of winningFor Zeke, we have: Factor of 2 and Red
From the sample space, we have
P(Zeke) = 3/18
P(Zeke) = 1/6
For Erin, we have: 5 or 6 and Yellow or Blue
From the sample space, we have
P(Erin) = 4/18
P(Erin) = 2/9
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Add or subtract.
7z^2 − 2z^4 − 2z^2 − 5z^4
a.−2z^6
b.9z^2 + 3z^4
c.5z^2 − 7z^4
d.5z^4 − 7z^8
i’m highly confused somebody help me please
In the diagram, the area of the square c is 2009
How to find the area of square cThe area of the square is solved using the formula
length x length
The lenght is caluclalted using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required dimensions
x² = 35² + 28²
x² = 1225 + 784
x² = 2009
x = √2009
x = 44.82
Area of the square is x² = 2009
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Suppose angles 3 and 4 are complementary and ∠3 = 27°.
What is the measure (in degrees) of ∠4? (Do not include the degree symbol)
The measure (in degrees) of ∠4 would be 63 degree
What is complementary angles?If the total of the measurements of two angles equals 90 or 180 degrees, respectively, such angles are said to be complimentary and supplementary.
Complementary angles are the one whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.
A triangle's three angles add up to 180 degrees. The third angle is the result of 64 degrees being subtracted.
They have the same measurements, m 4 = 90.
A + 27 = 90
A = 63
Therefore, they are complimentary, their combined angles equal 90.
A = 63 degree
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Please help me with this math!
The transformed function is g ( x ) = ( -1/2 ) | x - 1 | + 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the parent function be represented a f ( x )
Now , the value of f ( x ) = | x |
Let the function be plotted on the graph and
when the function is transformed by a reflection on y axis , we get
h ( x ) = - | x |
Let the function be shifted left by 1 unit , we get
h' ( x ) = - | x - 1 |
Now , when the function is transformed by a vertical stretch of ( 1/2 ) units , we get
j ( x ) = - ( 1/2 ) | x - 1 |
Now , when the function is shifted vertically up by 2 units , we get
g ( x ) = ( -1/2 ) | x - 1 | + 2
Hence , the transformed function is g ( x ) = ( -1/2 ) | x - 1 | + 2 and it is plotted
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if it is assumed that all 52 5 poker hands are equally likely, what is the probability of being dealt
The probability of being dealt a flush is 0.001980, probability of being dealt a one pair is 0.422569, probability of being dealt two pairs is 0.04753.
a) First select a suit: 4 choices
then, we can have to select 5 cards out of 13: C(13, 5)
required probability: 4*C(13, 5)/C(52, 5)
= 0.001980
b)- We have to select two cards to make a pair: C(4, 2) choices (we have to select 2 from 4 because a suit can't have 2 cards of same number, so we are selecting 2 suits from 4),
then select a number for the pair: 13 choices,
now for remaining three cards: each card can be of same suit but number must be different, i.e. 4³*C(12, 3)
required probability: 13*C(4, 2) * C(12, 3) *4³ / C(52, 5)
= 0.422569
c)- First, we have to select two numbers for two pairs: C(13, 2) ,
Select suits for both pairs: C(4, 2) * C(4, 2) ,
For the remaining one card: 11 choices for the number and 4 choices for the suit,
required probability: C(13, 2)*C(4, 2)*C(4, 2)*11*4/C(52, 5)
= 0.04753
Probability means possibility. It's a branch of mathematics that deals with the circumstance of a arbitrary event. The value is expressed from zero to one. Probability has been introduced in Maths to prognosticate how likely events are to be. The meaning of probability is principally the extent to which commodity is likely to be.
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Complete question:
If it is assumed that all (52 5) poker hands are equally likely, what is the probability of being dealt (a) a flush? (A hand is said to be a flush if all 5 cards are of the same suit.)
(b) one pair? (This occurs when the cards have denominations a, a, b, c, d, wherea, b, c, and d are all distinct.)
(c) two pairs? (This occurs when the cards have denominations a, a, b, b, c, wherea, b, andc are all distinct.)
Please help asap! For a test (25 points)
The diameter of a circle is 4 m. Find its area in terms of π.
Answer: 4[tex]\pi[/tex] m^2
Step-by-step explanation:
The formula to calculate the area of a circle:
[tex]\pi r^{2}[/tex]
Given that the diameter of a circle is 4, we can work out that r (the radius) is 2.
(The radius is half of the diameter)
Therefore we can plug in our values:
[tex]\pi 2^{2}[/tex]
[tex]2^{2}[/tex] = 4
Therefore your answer is:
[tex]4\pi[/tex] [tex]m^{2}[/tex]
(Remember your units!)
Answer: A=12.566
Step-by-step explanation:
A=πr^2
R=2
π*4=12.566
I don't know how you want the answer rounded so I just rounded it to the nearest thousandths
Linda wants to buy a charm bracelet. Greenville Fine Jewelry charges $12 per charm, plus
$14 for the bracelet. Hanson Jewelers, in contrast, charges $11 per charm and $21 for the
bracelet. If Linda wants to add a certain number of charms to her bracelet, the cost will be
the same at either jewelry shop. What would the total cost of the bracelet be? How many
charms would that be?
The answers to each part is given below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Greenville Fine Jewelry charges $12 per charm, plus $14 for the bracelet. Hanson Jewelers, in contrast, charges $11 per charm and $21 for the bracelet.
For the Greenville Fine Jewelry, we can write -
A{x} = 14 + 12x
For the Hanson Jewelers, we can write -
B(x) = 21 + 11x
To add a certain number of charms to her bracelet, the cost will not be same.
Therefore, the answers to each part is given above.
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