Answer:
if ABCD is a rhombus then the diagonal of rhombus bisect it into two equal triangles.
Step-by-step explanation:
In triangles ABC and CDA,
AB= CD (S) because rhombus has equal sides.BC = AD (S) as as reason 1.AC= AC (S) being common side of both trianglesso the triangles are congruent to each other by S.S.S. fact/ axiom
Solve for R: 16 + 8(R-6) = 5R + 50.
Answer:
82/3
Step-by-step explanation:
Hi! I'm back!
16+8r-48=5r+50
8r-32=5r+50
3r=82
r=82/3
Answer:
R = 82/3
Step-by-step explanation:
16 + 8(R - 6) = 5R + 50.
16 + 8 × R - 8 × 6 = 5R + 50
16 + 8R - 48 = 5R + 50
8R - 5R = 50 + 48 - 16
3R = 82
R = 82/3
R = 82/3
Thus, the value of R is 82/3
(x+3)/(x-5)=(19-3x)/(x-5)
Answer: 4
Step-by-step explanation:
(x+3)/(x-5)=(19-3x)/(x-5)
x+3=19-3x
4x=16
x=4
X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 51, σ = 10, find P(36 ≤ X ≤ 56)
Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
3lbs of sour candies cost 4.50. what is the unit price
Answer:
$1.50
Step-by-step explanation:
1.50 x 3 = 4.50
Answer:
1.50$ per pound
Step-by-step explanation:
Step 1: State what is known
They tell us that 3 pounds cost 4.50$
Step 2: Find how much 1 pound cost
We divide 4.50$ by 3 to find out how much 1 pound costs
4.5/3 = 1.5
Therefore 1 pound of sour candies cost 1.50$
Name the image of A after a rotation of -90° about the origin.
minus 90 degree means that it will go anti clock-wise direction. So, this shape will touch on under the y-axis
ASAP! equation of the line in slope-intercept form
Line through (2,6) and perpendicular to y+4=3x
Answer:
y = -1/3x + 6[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First, change the original equation to slope intercept form:
y + 4 = 3x
y = 3x - 4
Now, find the slope of the perpendicular line. It will be the opposite reciprocal:
The opposite reciprocal of 3 is -1/3.
Next, plug this into the slope intercept equation along with the given point, so we can solve for b:
y = mx + b
6 = -1/3(2) + b
6 = -2/3 + b
6.67 = b
So, the equation will be y = -1/3x + 6[tex]\frac{2}{3}[/tex]
Which expression is the simplest form -(4x^3+x^2)+2(x^3-3x^2)
Answer:
6x^3-5x^2
Step-by-step explanation:
(4x^3+x^2)+2(x^3-3x^2)
4x^3+x^2+2x^3-6x^2
4x^3+2x^3+x^2-6x^2
6x^3+x^2-6x^2
6x^3-5x^2
The simplest form of the given expression [tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex] is,
[tex]6x^{3} - 5x^{2}[/tex].
Here, given expression is,
[tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex]
What is simplest form of equation?
The simplest form is the smallest possible equivalent fraction of the number.
Now,
Simplest form of expression,
[tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )\\4x^{3} +x^{2} +2 x^{3} -6x^{2} \\6x^{3} - 5x^{2}[/tex]
Hence, The simplest form of the given expression [tex](4x^{3} +x^{2} )+2 (x^{3} -3x^{2} )[/tex] is, [tex]6x^{3} - 5x^{2}[/tex].
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Solve F(x) for the given domain.
F(x)= x2 + 3x-2
F(-1) =
Jutaານເພະາ
a. -4
b. -6
C. 2.
Answer:
A. -4
Step-by-step explanation:
F(-1) means we must plug the number "-1" in for each x.
F(x) = x^2 + 3x - 2
F(-1) = (-1)^2 + 3(-1) - 2
= 1 - 3 - 2
= -4
what's is the area of circle of circle with a radius of 7 inches use =3.14.
Answer: To find the area of a circle you use pi x rsquared. So just 3.14x7^2= 153.86
Step-by-step explanation:
Hunter is bisecting the angle shown. When drawing the arcs centered on points P and Q, why must he keep the compass the same width for both arcs?
If Hunter adjusts the width of the compass between drawing the first and second arc, it will be impossible for both arcs to be drawn in the interior of the angle. <-- MY ANSWER
If Hunter adjusts the width of the compass between drawing the first and second arc, it will be impossible for the arcs to intersect.
The compass width should not be adjusted at all when bisecting the angle. This means that Hunter should keep the compass at the same width as when he drew the arc through P and Q.
The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.
thanks!
Answer:
The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.
Step-by-step explanation:
Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.
The hunter should use the same radius or width to draw the two arcs, using points P and Q as the center interchangeably, so that they would intersect at an equidistant point to P and Q. The point of intersection lies on the bisecting ray of the angle.
The ratio of a quarterback’s completed passes to attempted passes in 2:5. If he attempted 20 passes he completed. Round to the nearest whole number if necessary
what divides a two dimensional shape into two congruent shapes
Answer:
Rectangle is a 2dimensional shape so, let me explain using it
The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.
Another example is parallelogram
The diagonal of a parallelogram also divides the figure into two triangles that are congruent.
Step-by-step explanation:
Identify the property shown by the equation. 14 × 6 = 6 × 14 A. Commutative Property B. Associative Property C. Identity Property D. Distributive Property PLEASE HELP ME
Answer:
The answer is A. CommutativeStep-by-step explanation:
What is cumulative property?
In mathematics it has to do with movement of digits/factors without affecting the overall outcome of an operation
in addition of numbers, commutative explains that
A+B= B+A which ever way it must give the same outcome
example say A= 2
and B= 3 then
2+3= 3+2
5= 5
In multiplication
A*B= B*A as we can see
2*3= 3*2
6=6
Both figures in the equal signs are same
9000 is 10 times as much as?
Answer:
900
Step-by-step explanation:
13ab + 4a²b-9ab + 2ab? - a²b
Simplify this expression by combining like terms.
Answer:
6ab+3a^2b
Step-by-step explanation:
13ab+4a^2b-9ab+2ab-a^2b
13ab-9ab+2ab+4a^2b-a^2b
4ab+2ab+4a^2b-a^2b
6ab+3a^2b
Hope this helps ;) ❤❤❤
Answer:
6ab+3a^2b
Step-by-step explanation:
13ab + 4a^2b - 9ab + 2ab - a^2b
13ab - 9ab + 2ab + 4a^2b - a^2b
4ab + 2ab + 4a^2b - a^2b
6ab + 3a^2b
Use the distributive property to simplify the expression 3(4x + 9).
Answer:
12x+27
Step-by-step explanation:
The solution is A = 12x + 27
The value of the equation is A = 12x + 27
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
A = 3 ( 4x + 9 )
Now , on simplifying the equation , we get
By using the distributive property in the equation
Multiplying by 3 on both the values in the brackets , we get
A = 3 ( 4x ) + 3 ( 9 )
On further simplification of the equation ,
The value of A = 12x + 27
Therefore , the value of A is 12x + 27
Hence , the value of the equation is A = 12x + 27
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Construct a simulation model to estimate the average profit per unit. What is a 95% confidence interval around this average
Answer:
The answer is not complete. But you can use a spreadsheet to construct a simulation model to estimate the average profit per unit of a set of data.
Step-by-step explanation:
To calculate the Expected value of profit, we use:
Selling price - Expected value of different costs
Selling price is Total Cost * Probability
Confidence Interval
A Confidence Interval is a range of values that someone can be sure the true value lies in.
To calculate the confidence interval, we use the formula x ± z * S/√n
Where S is the standard deviation
n is the number of observations
x is the mean
z is the chosen z value
A professor teaches an undergraduate course in statistics. He uses a lot of sports examples to explain key concepts. He is concerned that this may have biased his instruction to favor male students. To test this, he measures exam grades among women (n = 10) and men (n = 10). The mean score in the male group was 82 ± 4.0 (M ± SD); in the female group, it was 74 ± 8.0 (M ± SD) points. If the null hypothesis is that there is no difference in exam scores, then test the null hypothesis at a .05 level of significance for a two-tailed test. Use denominator of 2.98.
Answer:
The null hypothesis is rejected
Therefore there is sufficient evidence to conclude that the professors teaching method favored the male
Step-by-step explanation:
From the question we are told that
The sample size for each population is [tex]n_1 = n_2 = n = 10[/tex]
The first sample mean is [tex]\= x_1 = 82[/tex]
The second sample mean is [tex]\= x_2 = 74[/tex]
The first standard deviation is [tex]\sigma _1 = 4[/tex]
The second standard deviation is [tex]\sigma_2 = 8.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{ \frac{ \sigma_1^2}{n_1} + \frac{ \sigma_2^2}{n_2} }[/tex]
=> [tex]SE = \sqrt{ \frac{ 4^2}{10} + \frac{ 8^2}{10} }[/tex]
=> [tex]SE = 2.83[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2 }{SE}[/tex]
=> [tex]t = \frac{82 - 74}{2.83}[/tex]
=> t = 2.83
Generally the p-value mathematically represented as
[tex]p-value = 2 P(Z > 2.83)[/tex]
From the z table
[tex]P(Z > 2.83) = 0.0023274[/tex]
So
[tex]p-value = 2 * 0.0023274[/tex]
[tex]p-value = 0.0047[/tex]
Since
[tex]p-value < \alpha[/tex]
Hence the null hypothesis is rejected
Therefore there is sufficient evidence to conclude that the professors teaching method favored the male
7. Given the following information, calculate, in order, the amount credited and the outstanding balance.
Invoice: $1,000
Terms: 3/10, n/30
Invoice date: May 5
Payment amount: $800
Date paid: May 9
A. $265 26: $624 74
B. $176 00, $824 00
C. $824.74 $175.26
D. $724.74 $275 26
Answer:
C. $824.74, $175.26
Step-by-step explanation:
1) Amount Credited
The formula to calculate the amount credited =
Amount paid ÷ ( 100% - Discount)
Discount is given in the question as 3/10
Where 3 = Discount rate
Amount paid = $800
Amount credited = 800/( 100% - 3%)
= 800/ 97%
= 800/ 0.97
= $824.74
b) Outstanding balance = Invoice - Amount credited
Invoice = $1000
Amount credited = $824.74
Outstanding balance = $1000 - $824.74
= $175.26
A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( µ g/dL), cholesterol level (mg/dL), and systolic blood pressure (mmHg). The researchers built a multiple regression to predict the mean iron level based on 2 variables, cholesterol level and systolic blood pressure.A partial regression ANOVA table is provided. Complete the ANOVA table aning. Use a significance level of a 0.05. Regression ANOVA Table Source df SSMSF Statistic p-value regression104535226.5 error 84 53813 640.6 Give the degrees of freedom as a whole number, the value of F to at least two decimals, the the p-value to at least three decimals. Then form the conclusion based on your results
Answer:
Step-by-step explanation:
The complete question tells us that;
A dataset from a government survey contains variables for 87 adults age from 18 to 85. The variables include iron level ( µ g/dL), cholesterol level (mg/dL), and systolic blood pressure (mmHg). The researchers built a multiple regression to predict the mean iron level based on 2 variables, cholesterol level and systolic blood pressure.A partial regression ANOVA table is provided. Complete the ANOVA table aning. Use a significance level of a 0.05. Regression ANOVA Table Source df SSMSF Statistic p-value regression104535226.5 error 84 53813 640.6 Give the degrees of freedom as a whole number, the value of F to at least two decimals, the the p-value to at least three decimals. Then form the conclusion based on your results.
NOTE: the attached minilab worksheet calculates this problem.
below is the attached image.
A number N is greater than 3. Which of the following best represents the location of 3N
on a number line?
Answer:
The second number line represent the location of 3N values.
Step-by-step explanation:
The first number line represent the inequality N > 3.
Now, the new number is 3N.
Consider the second number line values:
3N = {12, 15, 18, 21, ....}
The second number line represent the location of 3N values.
Answer:
d
Step-by-step explanation:
I will give you brainliest if you right down the answer and explain it
to find the mid point,
m=-2+1/2,-5+3/2
=-1/2,-1
Describe how to determine the average change between x=3 and x=5 forbthe function f(x)=3x^3+2
Answer:
147
Step-by-step explanation:
f(3)=83
f(5)=377
377-83=294
5-3=2
294/2=147
To find the average rate of change, we divide the change in the output value by the change in the input value.
Four more than one third x
Answer:
4 + x/3
4 + 1/3x
Step-by-step explanation:
Step 1: Convert "four" to number
4
Step 2: Covert "more than" to number
4 +
Step 3: Convert "one-third" to number
4 + 1/3
Step 4: Add variable x (multiplication)
4 + 1/3x
an experiment consists of rolling two fair dice and adding the dots on the two sides facing up assuming each simple event is as likely as any other find the probability that the sum of the dots is greater than 2
Answer:
35/36
Step-by-step explanation:
Sample space = S
n(S) = 36
Event of obtaining sum greater than 2, = A
Event of obtaining sum less than 2, B =( 1, 1)
n(B) = 1
Probability of obtaining sum less than 2, P(B) = n(B)/n(S) = 1/36
n(A) = 36 - 1 = 35
∴ Probability of obtaining sum greater than 2, P(A) = n(A)/n(S) = 35/36
1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input and the number of minutes as the output. He recorded his information in a table, like the one shown below. Speed (mph) Time (minutes) 60 32 45 43 55 35 50 38 62 31 If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation? O A. [0, 65] B. [65,-) O C. (0, 65) D. (65,-)
Answer:
A. [0, 65]
Step-by-step explanation:
Given that
Distance that Marcus drives every day = 32 miles.
The table having average speed as input and time taken as output is shown below in the table format:
[tex]\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \\ 60 & 32 \\ 45 & 43 \\ 55 & 35 \\ 50 & 38 \\ 62 & 31 \\\end{tabular}\end{center}[/tex]
To find:
The domain that includes all possible average speeds using interval notation = ?
Solution:
First of all, let us understand what is a domain of a function.
Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.
If a function is written as:
[tex]y=f(x)[/tex] then values of [tex]x[/tex] are the input given to the function.
In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.
That means domain has a maximum value of 65.
Let us learn something about interval notation.
( or ) means the value is not inclusive.
[ or ] means the value is inclusive.
Here 65 will be inclusive.
On the left side of comma, lower value is written and on the right side of comma, larger value is written.
So, domain for the current situation will be:
[0, 65]
0 is taken as the minimum value of domain here, because average speed value can not be negative.
This interval will contain all the possible values of input (average speed) as shown in the above table of values.
Does a regular pentagon tessellate? if yes, why and if no, why?
Answer:
No.
Step-by-step explanation:
A regular pentagonal tiling on the Euclidean plane is impossible because the internal angle of a regular pentagon, 108°, is not a divisor of 360°.
Graph the inequality. y>|x+5|-3
Answer:
Step-by-step explanation:
Need help on questions 3 and 4
Answer:
y=3x
2y=x
Step-by-step explanation:
N/A
big brain award pls
Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.< x<27)
(b) B=(xixeNandx+1=x)
(c) C={xl xe Nand(x- I)(x - 9) = 0)
(d) D={xlx E N, H X 5 100, and xis divisible by both 5 and 8)
Answer:
Step-by-step explanation:
Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.
a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26
A = (21, 22, 23, 24, 25, 26)
According to the set A, it can be seen that there are 6 elements in the set, this means n(A) = 6.
b) Given B=(x | xeN and x+1=x)
Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1
The elements of the set B = (2, 3, 4, 4...)
The number of whole number in the set is therefore infinite.
c) For the set C={x l xe N and (x- 1)(x - 9) = 0)
We need to get the root of the equation (x- 1)(x - 9) = 0
x-1 = 0 and x-9 = 0
x = 1 and x = 9
Hence the element C = (1,9)
The number of whole number in the set is n(C) = 2
d) D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)
Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)
values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)
The total number of elements in both set = 29 i.e n(D) = 29