Answer:
Total Area = 84 feet
Step-by-step explanation:
Triangle = 1/2 (3 × 4) = 12/2 = 6 ft
Rectangle 1 = 7 × 4 = 28 ft
Rectangle 2 = 5 × 10 = 50 ft
Total Area = 6ft + 28ft + 50ft = 84ft
A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 39 subscribers to Plan A is $55,575 with a standard deviation of $8,970. For a sample of 29 subscribers to Plan B, the mean income is $59,475 with a standard deviation of $6,942.
At the .025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is ______. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision is _______
the null hypothesis that the mean of Plan B is larger.
The p-value is ______
(Round your answer to 2 decimal places.)
Answer:HI
Step-by-step explanation:HI
Please help!! Will make brainliest
UmmmmAnswer:
Step-by-step explanation:
Need help ASAP
Will mark you brainlist
Answer:
Step-by-step explanation:
Brayden's car travels 37.1 miles per gallon.
Dylan's car travels 48.4 miles/(2 gallons) = 24.2 miles per gallon.
37.1 - 24.2 = 12.9
Dylan's car gets 12.9 miles per gallon less than Brayden's car.
4(x+4) + 2x = 52 need answer
Answer:
x=6
Step-by-step explanation:
Type of triangle the has side measures of 6cm, 7cm and 12cm. And one angle with a measure of 120 degrees
Answer:
Obtuse triangle
Step-by-step explanation:
Given
Sides: 6cm, 7cm and 12cm
Angle: 120 degree
Required
Determine the type of triangle
Because the measure of an angle of the triangle was mentioned, we have to classify the triangle by its angle.
From the question, we understand that one of the angles is greater than 90 (i.e. 120 degrees). This type of triangle are referred to as obtuse triangles.
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? The greatest number of t-shirts that the Sports Committee can purchase is .
Answer:
The greatest number of t-shirts that the Sports Committee can purchase is 232.
Step-by-step explanation:
The student council raised $2,790 during its annual fundraiser.
Each t-shirt costs $12.
The total cost of buying x t-shirts is given by:
[tex]T(x) = 12x[/tex]
What is the greatest number of t-shirts the Sports Committee can purchase?
The total cost has to be lesser, or equal, to 2790. So
[tex]T(x) \leq 2790[/tex]
[tex]12x \leq 2790[/tex]
[tex]x \leq \frac{2790}{12}[/tex]
[tex]x \leq 232.5[/tex]
Since you cant buy half a shirt.
The greatest number of t-shirts that the Sports Committee can purchase is 232.
5d
P= 15 +
12
what is d
Answer:
Step-by-step explanation:
10
Determine the relationship between the two triangles and whether or not they can be proven to be congruent
Answer:
The two triangles are related by AAS, so the triangles are congruent.
Step-by-step explanation:
Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.
Someone please help me with this thank you
Please help I’ll mark you as brainliest if correct
Answer:
72 cm³ (see below)
Step-by-step explanation:
First, refer to the volume formula:
V = l · w · h
If you plug in all of your values and simplify, you'll get the volume:
l = 6 cm
w = 3 cm
h = 4 cm
V = (6) (3) (4)
V = 18 (4)
V = 72 cm³
Because this is volume, the measurements are units cubed, meaning it's cm³.
h(x)=x2-5x+7 find when 1-3h(-8)
Answer:
The value of the expression is -332.
Step-by-step explanation:
We are given the following function:
[tex]h(x) = x^2 - 5x + 7[/tex]
We have to solve the following expression:
[tex]1 - 3h(-8)[/tex]
The numeric value at x = -8 is:
[tex]h(-8) = (-8)^2 - 5(-8) + 7 = 64 + 40 + 7 = 111[/tex]
The expression is:
[tex]1 - 3h(-8) = 1 - 3(111) = 1 - 333 = -332[/tex]
The value of the expression is -332.
5(3x + 4) + 2x
3(4x-7)-5x
Simplify the expression by distributing and combining like
terms.
Answer:
1. x= - 20/13
2. 7x-21
Step-by-step explanation:
help plz will give brainlyest
Answer:
A. Cendric is correct because he used the inverse of subtraction and added 4.5
Step-by-step explanation:
To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.
Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.
Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?
A. 2 1/2 inches
B. 4 1/4 inches
C. 7 3/4 inches
D. 8 1/2 inches
Answer:
B 4 1/4
Step-by-step explanation:
Answer:
Its B. 4 1/4
Step-by-step explanation:
How it helps!
I really need help on this question
Answer:
[tex]r = 107 \\ q + s = 180 - 107 \\ = 73 \\ q = 73 \div 2 \\ = 36.5[/tex]
emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit
Answer:
small box costs $11, large box costs $13
Step-by-step explanation:
2S + 3L = 61
3S + 3L = 72
Eliminate the L terms: subtract first equation from second equation
2S + 3L = 61
-3S - 3L = -72
-------------------
-S = -11
S = 11
2S + 3L = 61
2(11)+3L = 61
3L = 39
L = 13
small box costs $11, large box costs $13
Answer:
no tienes idea de lo que estoy diciendo, chico
Step-by-step explanation:
The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x
Answer:
A= 2pirh +2pir^2
972=2 x pi x x x 5x + 2 x pi x x^2
972= 31.4x^2 + 6.28x^2
972=37.68x^2
x^2= 972/37.68
x^2=25.796
x= 25.796 square root
x= 5
The value of x is 5 cm.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of a cylinder = 972 cm²
The surface area of a cylinder.
= 2πrh + 2πr²
Diameter = 2x
Radius = x
Height = 5x
Now,
2πrh + 2πr² = 972
2π (rh + r²) = 972
2π (5x² + x²) = 972
2π x 6x² = 972
6x² = 972/(2 x 3.14)
6x² = 154.78
x² = 25.79
x = √25.79
x = 5.08
x = 5
Thus,
x value is 5.
Learn more about cylinder here:
https://brainly.com/question/15891031
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At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B
Answer:
B: Sampling without replacement will result in a standard deviation less than but close to √0.4(0.6)/500
.Step-by-step explanation:
answer on khan academy
Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex] and this can be determined by using the standard deviation formula.
Given :
At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected.Consider two sampling methods: with replacement and without replacement.1) With Replacement --
The standard deviation is given by the formula:
[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}}[/tex] ---- (1)
where the value of 'p' is given by:
[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]
Now, substitute the value of p and n in the equation (1).
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}}[/tex]
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(0.6)}{500}}=0.02190[/tex]
2) Without Replacement --
The standard deviation is given by the formula:
[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}\times \left(1-\dfrac{n-1}{N-1}\right)}[/tex] ---- (2)
where the value 'p' is given by:
[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]
Now, substitute the value of p, n, and N in equation (2).
[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}\times \left(1-\dfrac{500-1}{10000-1}\right)}[/tex]
Simplify the above expression.
[tex]\rm \hat{p} = 0.1442[/tex]
So, from the above calculation, the correct option is C) Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/23044118
The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a standard deviation of 20 minutes. Assuming nothing is known about the shape of the distribution of commuting times, what percentage of these commuting times are between 30 and 110 minutes
Answer:
At least 75% of these commuting times are between 30 and 110 minutes
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of 70 minutes, standard deviation of 20 minutes.
Since nothing is known about the distribution, we use Chebyshev's Theorem.
What percentage of these commuting times are between 30 and 110 minutes
30 = 70 - 2*20
110 = 70 + 2*20
THis means that 30 and 110 minutes is within 2 standard deviations of the mean, which means that at least 75% of these commuting times are between 30 and 110 minutes
5 (2x+1) +4 (x+1)=12(x+2)
Answer:
x=–/-4
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2)(1)+4(x+1)=x+2
Step 1: Simplify both sides of the equation.
5(2)(1)+4(x+1)=x+2
5(2)(1)+(4)(x)+(4)(1)=x+2(Distribute)
10+4x+4=x+2
(4x)+(10+4)=x+2(Combine Like Terms)
4x+14=x+2
4x+14=x+2
Step 2: Subtract x from both sides.
4x+14−x=x+2−x
3x+14=2
Step 3: Subtract 14 from both sides.
3x+14−14=2−14
3x=−12
Step 4: Divide both sides by 3.
3x
3
=
−12
3
x=−4
Answer:
x=−4
2 ÷ 24.42 = ?
......
.
....
Answer:
12.21
Step-by-step explanation:
In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0
Answer:
200, 200
Step-by-step explanation:
Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100
Answer: D 35/100
Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.
Find the circumference. Round to the nearest hundredth. Diameter= 16 feet
Step-by-step explanation:
[tex] = 2\pi \times r = 2\pi \times \frac{16}{2} = 2\pi \times 8 = 50.265 = 50.27[/tex]
Which table represents the statement "Brian rides a bicycle at a rate of 12 meters per second"?
seconds (S)
1
2
3
meters (m)
12
18
24
seconds (S)
1
2
3
meters (m)
12
24
48
seconds (S)
2
3
meters (m)
12
13
14
seconds (S)
1
2.
meters (m)
12
24
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Answer: D
Step-by-step explanation: Because
1 x 12 = 12
2 x 12 = 24
3 x 12 = 36
Answer:
D
Step-by-step explanation:
Got 100 on test on Edg
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What is the value of x in the proportion?
Answer:
Step-by-step explanation:
Cross multiply on both sides
= (x + 1) (21) = 15(x + 3)
= 21x + 21 = 15x + 45
Bringing like terms on one side
21x - 15x = 45 - 21
= 6x = 24
x = 24/6 = 4
Option A is the correct answer
[tex] =\tt (a) \: 4[/tex]
Steps to derive correct option :[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]
[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]
[tex] = 21x + 21 = 15x + 45[/tex]
[tex] = 21x + 21 - 15x = 45[/tex]
[tex] = 6x + 21 = 45[/tex]
[tex] = 6x = 45 - 21[/tex]
[tex] = 6x = 24[/tex]
[tex] = x = \frac{24}{6} [/tex]
[tex] =\color{plum} \bold{x = 4}[/tex]
Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :
[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]
[tex] = \frac{5}{7} = \frac{15}{21} [/tex]
[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]
[tex] = \frac{5}{7} = \frac{5}{7} [/tex]
Therefore, the value of x in this proportion = 4
9-3 divided by 1/3 + 1
Answer:
1
Step-by-step explanation:
how do find what conjecture is and how to prove it ?
Answer:
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Describe how to plot the point (-1, -2)
Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?
Peyton and her children went into a restaurant and where they sell drinks for $3 each
and tacos for $4 each. Peyton has $40 to spend and must buy at least 10 drinks and
tacos altogether. If Peyton decided to buy 4 drinks, determine all possible values for
the number of tacos that she could buy. Your answer should be a comma separated
list of values. If there are no possible solutions, submit an empty answer.
Answer:
7,6
Step-by-step explanation:
So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)