Answer:
See below
Step-by-step explanation:
What is margin of error?
Since it is impossible to predict results of a statistical survey on a sample population with 100% accuracy, scientists often include an error in estimation along with the calculated proportion
This margin of error tells you how many percentage points your results will differ from the real population value
Here the estimated proportion is 90%Margin of error is 3%So actual population proportion will be 90% ± 3%90 - 3 = 87, 90 + 3 = 93So actual proportion will lie between 87% and 90% ANSWER0.5568 divided by 0.58
Answer:
Step-by-step explanation:
0.96!
0.5568 divided by 0.58 is approximately 0.9593.
Here, we have,
To divide 0.5568 by 0.58, you can follow these steps:
Step 1: Write down the dividend (the number being divided), which is 0.5568.
Step 2: Write down the divisor (the number you're dividing by), which is 0.58.
Step 3: To simplify the division, you can multiply both the dividend and divisor by a power of 10 to remove the decimal places. In this case, we can multiply both numbers by 100 to move the decimal point two places to the right.
0.5568 * 100 = 55.68 (new dividend)
0.58 * 100 = 58 (new divisor)
Step 4: Divide the new dividend by the new divisor:
55.68 / 58 ≈ 0.95931034
Step 5: Round the result to the desired number of decimal places. In this case, since the original dividend had four decimal places, we can round the result to four decimal places:
0.9593
Therefore, 0.5568 divided by 0.58 is approximately 0.9593.
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The probability that Dan wins in a raffle is given by the expression p. Write down an expression for the probability that Dan does not win
If the probability of Dan winning is 'p', then the probability that he does not win is ' 1-p' .
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. The probability of a event happening and the same event not happening is 1 or 100%.
Let Dan winning in a raffle is Event A.
Let Dan not winning in a raffle is Event B.
Probability of Dan winning + Probability of not winning = 1
p + P(B) = 1
P(B) = 1 - p
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multiply the following numbers -6 -2 -1
Answer: -12
Step-by-step explanation: -6*-2 = 12 and then 12*-1 = -12.
Answer: -12
Step-by-step explanation:
-6 x -2 x-1
12 x -1
-12
PLS HELP!!!!!!!!!!!!!!!!!
Problems 1-6
1.) Thalia is currently 104 cm tall, and the doctor tells her she can expect to grow at 2.2 cm per year for the foreseeable future. What is the function rule (equation) for this scenario?
2.) In the problem above, identify the linear function's parameters.
3.) The 2011 population of manatees in Florida was 5,067. The animal is thought to be experiencing annual exponential decay of 1.1%. What is the function rule for this scenario?
4.) In the problem above, identify the exponential function's parameters (the independent and dependent variables).
5.) Does problem 3 describe growth or decay? Why? Use a complete sentence.
6.) What is the growth or decay rate in problem 3?
Answer:The function rule for Thalia's height (h) in years (t) is h(t) = 104 + 2.2t.
The linear function's parameters are: h0 = 104 (initial height), and k = 2.2 (the rate of growth in cm per year).
The function rule for the population of manatees (P) in years (t) is P(t) = 5,067 * (1.011)^(-t), where t is the number of years passed since 2011.
The exponential function's parameters are: P0 = 5,067 (the initial population), t (the number of years passed since 2011), and k = 0.011 (the decay rate).
Problem 3 describes decay. The population of manatees is decreasing by a certain percentage each year, indicating a decrease in the number of animals over time.
The decay rate in problem 3 is 1.1% (or 0.011 in decimal form).
Step-by-step explanation:
1.) The function rule (equation) for Thalia's height over time can be modeled as h(t) = 104 + 2.2t, where h(t) is her height in cm at time t in years.
2.) In the equation for Thalia's height, 104 is the y-intercept and 2.2 is the slope.
3.) The function rule for the manatee population in Florida can be modeled as P(t) = P0 * 0.989^t, where P(t) is the population at time t in years and P0 is the initial population (5,067).
4.) In the equation for the manatee population, P0 is the initial population and 0.989 is the decay rate. The independent variable is t (time in years) and the dependent variable is P (population).
5.) Problem 3 describes decay. This is because the population of manatees in Florida is decreasing at a constant rate of 1.1% per year.
6.) The growth or decay rate in problem 3 is -1.1%.
Step-by-step explanation:
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I need help here and fast
The image here given an example of perpendicular line.
Correct option is: yes, the lines are intersect at right angle.
What does two perpendicular lines look like?Two lines are perpendicular if they cross at a point where they provide a pair of linear angles that are congruent. If a transversal in a plane is parallel to one of two parallel lines, it is also parallel to the other line. Lines that cross at a straight angle (90°) are said to be perpendicular. Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.
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YQ and XP are altitudes to the congruent sides of isosceles triangle △WXY.
Select all the true statements.
When YQ and XP are altitudes to the congruent sides of isosceles triangle, the true statement are:
WXY = WXY
PXY = QYX
How to illustrate the informationIsosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. It should be noted that the two sides of the triangle are congruent and the angles opposite to these sides are also congruent
From the information WXY is an isosceles triangle.
WXY = WXY
XY = XY
QXY == PYX (property of congruent triangle}
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Identify the central angle.
Use the Screen Shot to answer
A) Angle ACB
B) Angle CAO
C) Angle AOB
D) Angle CBO
Which letter choice is correct?
c. Suppose the team ends up selling 78 cookies at next years's opening game. Find the percent erroe in the number of cookie that you estimated would be sold in your solution to part (b).
percent error = (a - x)/(x) * 100%, where x is the exact value and a in the aproximate value.?
The percent error would be : {c - 78}/{c} x 100
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 the team ends up selling 78 cookies at next year's opening game.
Let the estimated value be {c} cookies. Now, we know -
%error = {a - x}/{x} x 100
%error = {c - 78}/{c} x 100
Therefore, the percent error would be : {c - 78}/{c} x 100.
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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
The length of the hypotenuse is 6.4 yards.
Step-by-step explanation:
We can use the Pythagorean Theorem to evaluate the hypotenuse.
The formula for the Pythagorean Theorem is
[tex]a^2+b^2=c^2[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are the legs of the triangle; and [tex]c[/tex] is the hypotenuse.
We are given the values of both legs.
[tex]a=4\\b=5[/tex]
Inserting these values into the equation gives us
[tex]4^2+5^2=c^2[/tex]
Lets solve for [tex]c[/tex].
Evaluate [tex]4^2[/tex].
[tex]16+5^2=c^2[/tex]
Evaluate [tex]5^2[/tex].
[tex]16+25=c^2[/tex]
Add [tex]16[/tex] and [tex]25[/tex].
[tex]41=c^2[/tex]
Take the square root of both sides to eliminate the exponent.
[tex]\sqrt{41} =c[/tex]
[tex]\sqrt{41}=6.40312[/tex]
Rounding to the nearest tenth leaves us with
[tex]c=6.4[/tex]
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Which expression has a solution of 36, if p = 4?
Answer:
9p, because 9x4=36
Step-by-step explanation:
©There is a bag with only milk and dark
chocolates.
The probability of randomly choosing a
dark chocolate is g
There are 18 dark chocolates in the bag
and each is equally likely to be chosen.
Work out how many milk chocolates
there must be.
Answer:
Step-by-step explanation:
We know that the bag has dark chocolates and milk chocolates, and the probability of randomly choosing a dark chocolate is g. And, we know that there are 18 dark chocolates in the bag and each is equally likely to be chosen.
Now, let's use this information to find the number of milk chocolates. If there are n total chocolates in the bag, then the probability of choosing a dark chocolate is g, and the probability of choosing a milk chocolate is 1-g. We can write these probabilities as:
g = 18/n
1-g = (n-18)/n
So, if we equate the two expressions, we get:
18/n = (n-18)/n
That means:
18 = n - 18
And finally:
n = 36
So, there must be 36 chocolates in the bag, and 18 of them are dark chocolates, which means there must be 18 milk chocolates!
E
Jean transformed a point by using the rule (x,y)(x-6,y+8). The image point is (-4, 1). Which point is the pre-image?
O (-10, 9)
O (2-7)
(-2,7)
(10,-9)
Mark this and return
Save and Exit
Next
Submit
By applying the transformation formula (x,y) -> (x-6,y+8) to the location (-4, 1), the pre-image would be (-4+6, 1-8) = (2,-7).
So the appropriate response is: (-2, -7).
What exactly are pre-image and image?Shifts and scaling are two common transformations used in geometry to create new shapes from figures in a plane. Images are the new (modified) shapes, and preimages are the original, unmodified shapes.
What does geometry's preimage mean?The preimage is the body of the object as it was originally, and the transformed shape of the object is termed the image.
The word "preimage" is plural (mathematics) The collection of all domain elements mapped onto a specific subset of the function's arguments.
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Write the equation of the line that passes through (3,-4) and is parallel to the line y=-8x-5
Answer:
y = - 8x + 20
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 8x - 5 ← is in slope- intercept form
with slope m = - 8
• Parallel lines have equal slopes , then
y = - 8x + c ← is the partial equation of the parallel line
to find c substitute (3, - 4 ) into the partial equation
- 4 = - 8(3) + c = - 24 + c ( add 24 to both sides )
20 = c
y = - 8x + 20 ← equation of parallel line
x=y*10^z where 4 Find an expression for x^2 in standard form.
The expression for x² in standard form is x² = (yˣ×10)²= y²×10².
What is expression?Expression is a mathematics combination of symbol such as number and operators which produce the mathematical result and expression can involve a single trauma multiple term and usually consist of a combination of constant variables operators function.
This means that if x is given in the form of x = y×10, then x² can be expressed as y² × 10². This form is advantageous because it allows for easier manipulation of the numbers. For example, if x = 5 ×10², then x²can be expressed as (5×10²)²= 5²× 10²×²= 25 × 10⁴. This expression is much easier to understand than the expanded form of x² = 5²× 10² × 10² = 25 ×10².
In addition, this expression for x²allows for efficient calculation of larger powers of x. For example, if x = 5 ×10², then x²can be expressed as (5×10² = 5³ × 10²×³= 125 × 10⁶. This is much faster to calculate than the expanded form of x³= 5³ ×10² ×10²× 10² = 125 ×10⁶.
Therefore, the expression for x² in standard form is an effective way to manipulate and calculate larger powers of x.
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Simplify
(18a²b-9ab²)÷9ab²
Answer:
2a^2b^3−a^2b^4
Craig is building a bicycle ramp with a 3-ft rise over a 10-ft horizontal run as shown in the figure. What is the length m of the ramp? Round to the nearest tenth.
Answer:
10.4
Step-by-step explanation:
m² =10²+3² = 109
so m =√109 = 10.4
Need help with figuring out this question
The translated function is g(x) = ∛(x + 4) + 3, so the correct option is C.
Which function is g(x)?We can see that function g(x) is a translation of f(x), which is the parent cubic root function:
f(x) = ∛x
We can see that g(x) is a translation of 3 units up, and 4 units to the left.
Then the function will be written as:
g(x) = f(x + 4) + 3
Replacing f(x) we will get:
g(x) = ∛(x + 4) + 3
Then the correct option is C.
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The function f(x) = x + 3 represents the length of a rectangle, and the function g(x) = 6x − 5 represents the width of the rectangle. What is the area of the rectangle if x = 3?
−72
19
78
117
Answer: 78
Step-by-step explanation:
(3) + 3 = 6
6(3) - 5 = 13
13 x 6 = 78
:)
A lottery exists where balls numbered 1 to 16 are placed in an urn. To win, you must match the balls chosen in the correct order. How many possible outcomes are there for this game?
The number of possible outcomes will be 524160.
What are permutations and combinations?When an order or sequence of arrangement is required, permutations are used. Combinations are used when there are only a limited number of possible groups to find and there is no requirement for the order or sequence of arrangements. For different kinds of things, permutations are used. Combinations are employed for similar items.
Given that a lottery exists where balls numbered 1 to 16 are placed in an urn. To win, you must match the balls chosen in the correct order.
The arrangement can be calculated as:-
¹⁶C₅ = 16 x 15 x 14 x 13 x 12
¹⁶C₅ = 524160
Therefore, the number of possible outcomes will be 524160.
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Write two different inequalities in which one of the solutions is the same as the solution x -23=191
This inequality can be expanded to x - 214 ≤ -23, which means that any value of x that is less than or equal to -23 satisfies the inequality.
1. x + 191 ≥ 214
2. x - 214 ≤ -23
1. To solve this inequality, we add 23 to both sides of the equation: x - 23 = 191.
x + 191 ≥ 214
2. To solve this inequality, we subtract 191 from both sides of the equation: x - 23 = 191.
x - 214 ≤ -23
1. x + 191 ≥ 214
This inequality can be expanded to x + 191 ≥ 214, which means that any value of x that is greater than or equal to 214 satisfies the inequality.
2. x - 214 ≤ -23
This inequality can be expanded to x - 214 ≤ -23, which means that any value of x that is less than or equal to -23 satisfies the inequality.
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To go from Dukeville to Karlton, you can travel along the two main high-
ways or the direct route along Valley Road.
Dukeville
Hwy 141
36 mi.
Valley Road
48 mi.
Hwy 55
Karlton
a. How long is the highway route?
b. How long is the Valley Road route? 85
c.
How many miles do you save by taking
the direct route?
According to the data, the highway is 84 miles, the length of Valley Road is 60 miles, and the shortest mile is 24 miles less than the longest.
How to calculate the length of the highway?To calculate the length of the Highway route we must perform the following mathematical procedure:
36 miles + 48 miles = 84 miles.How to calculate the length of the Valley Road Route?To calculate the length of the Valley Road Route we must perform the following mathematical procedure:
36 + 48 + c²1296 + 2304 = c²3600 = c60 milesHow many miles are saved by taking the shortest route?To calculate the length that is saved by taking the shortest route we must carry out the following mathematical procedure:
84 miles - 60 miles = 24 miles.Note: This question is incomplete due to missing information. Here is the missing information.
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Students on the school track team may compete in up to 3 events. The probability distribution for the number of events in which a student competes is provided. Let X = the number of events a student competes in. Calculate the median of the distribution.
0.5
1
1.5
2
Median of the probability distribution is 1.
Correct option is B.
What is median?The median of a set of data is the middlemost number or center value in the set. The median is also the number that is halfway into the set.
The median for a random variable X is m such that P(X≤m)≥1/2 and P(X≥m)≥1/2.
Given,
The probability distribution for the number of events in which a student competes is provided.
X is number of events,
P(X) is probability
Here,
For median value, P(x) ≥ 1/2
P(x) = 4/8 = 1/2
Value of X for P(x) = 1/2 is 1.
Median = 1
Hence, 1 is the median of probability distribution.
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y ticket. each ticket has a probability of 0.3 of winning a prize. after seven days, what is the probability that jorge has won at least one prize? round your answer to four decimal places.
Jorge has a ticket has a probability of 0.3 of winning a prize. after seven days, probability that jorge has won at least one prize is 0.9176
Let the probability of Jorge winning be 0.3 so ,
Probability of not winning be (1-0.3)⁷
(0.7)⁷
= 0.0823
Therefore, Jorge not winning is 0.0823.
If he wins at least one prize is,
1 - P(win nothing)
1 - 0.0823
= 0.9176
Therefore, the probability that the Jorge wins at least one prize is 0.9176.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.
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Alan bought 4 pounds of red apples and g pounds of green apples. Write an expression that shows how many pounds of apples Alan bought in all.
Answer:
Step-by-step explanation:
It would be 4+g
Since we are trying to find how many lbs in total we would add the total we already know which is 4 and then add the g pounds of green apples
To calculate the total amount of apples Alan has bought, we simply apply the concept of Algebraic Expressions and add the pounds of red apples (which is 4) to the pounds of green apples (which is represented by g). This can be represented in a mathematical expression as 4 + g.
Explanation:Alan bought 4 pounds of red apples and g pounds of green apples. To find out how many pounds of apples he bought in total, we need to add the quantities together. So, the expression that shows that is 4 + g. This means that Alan bought 4 pounds of red apples and g pounds of green apples, adding those two quantities together gives the total pounds of apples he bought.
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James invests £200 for 1 year in a bank account. This account pays simple interest at a rate of 3% per year. Work out the total amount of money in the account at the end of the year
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \pounds 200\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &1 \end{cases} \\\\\\ A = 200[1+(0.03)(1)] \implies A = 206[/tex]
three married couples have bought 6 seats in the same row for a concert. in how many different ways can they be seated
The 3 couples can be seated in 20 ways.
Permutations CalculationsThe answer I provided uses the concept of permutations. In permutation, we calculate the number of arrangements or ways in which a set of elements can be arranged.
In this case, the question is asking for the number of ways in which 6 individuals (3 married couples) can be seated in a row. To find the number of arrangements, we can use the formula for permutations of multiples:
P(n, k) = n! / (n-k)!
Where n is the number of items to arrange and k is the number of identical items. In this case, n = 6 (number of individuals) and k = 3 (number of married couples).
However, we need to also account for the fact that within each married couple, the two individuals can be seated in either order. Hence, we need to divide the result by 2! for each couple, giving us the formula:
P(6, 3) / (2! * 2! * 2!) = 6! / (3! * 3!) = 20
So there are 20 different ways in which the 3 married couples can be seated in a row.
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Angle A is represented by the expression 3X + 2. Angle B is represented by the expression X + 10. Angles A and B are vertical angles. What is the sum in degrees of Angle A and Angle B?
The sum in degrees of Angle A and Angle B is 28 degrees
What is the sum in degrees of Angle A and Angle B?From the question, we have the following parameters that can be used in our computation:
Angle A is represented by the expression 3X + 2. Angle B is represented by the expression X + 10. Angles A and B are vertical angles.Using the above as a guide, we have the following:
3x + 2 = x + 10
This means that
2x = 8
Divide by 2
x = 4
S, we have
Sum = 3x + 2 + x+ 10
Evaluate
Sum = 3 * 4 + 2 + 4 + 10
Sum = 28
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Translate into an equation, then solve: The product of a number and 14 is 28.
Answer:
x = 2
Step-by-step explanation:
Product = muliplication
Let x represent the number
14x = 28
x = 2
Evaluate 8.3x + 7.5y when x = 3 and y = 4.
8.3( blank) + 7.5( blank) = blank + 30.0= Answer?
Answer:
54.9
Step-by-step explanation:
Substitute the provided values of x and y into the provided expression:
8.3(3) + 7.5(4)
= 24.9 + 30.0
= 54.9
What percentage did you tip if your lunch was $5 and you left $1? Enter your answer with a "%"