Answer:
Yes.
I feel that since only about 9% of the jurors are being appointed from the county, instead of the more representative 14%, this constitutes reasonable evidence that the jurors are not being randomly selected from the total population.
Step-by-step explanation:
a) Data and Calculations:
County population proportion = 14%
This implies that the country is supposed to have at least 1,386 * 14% = 194 of the jurors used by the court.
Evidence from records show that the county has only 122 of 1,386 = 9% (122/1,386)
This means that about 72 (194 - 122) jurors are not being appointed from the county.
And 72 represents about 5% of 1,386 (72/1,386). This number is more than half of those being appointed from the county or more than 50% or precisely 59%.
Therefore, this constitutes reasonable evidence that the jurors are not being randomly selected from the total population. The selection is not representative of the population characteristics.
greatest number which divides into 304 to leave
remainder of 4 and which also divides into 298 to leave a remainder of 4.
Answer:
answer is 6
Step-by-step explanation:
If a line crosses the y-axis at (0, 1) and has a slope of 4/5 , what is the equation of the line?
ОА.
4y-5x=5
OB.
y- 4x = 5
O C.
5y + 4x = 5
OD. 5y - 4x = 5
I need help
Indicate the answer choice that best completes the statement or answers the question.
✓ The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 180 120 160 1200
Cost (S)
14.00 8.00
16.00 20.00
12.00
Answer:
The correct answer is:
Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.
Step-by-step explanation:
Given is the table,
The input is x and output is y.
We can see from the table that the x-values are increasing 40 minutes after each input and the output is increasing by equal amount i.e. $4.
The rate of change remains the same.
Hence,
The correct answer is:
Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.
24) A hotel contains 180 rooms divided equally among a number of floors, each floor
contains 15 rooms. How many floors are there in this hotel?
Answers please, and will this be multiplication or division?
Answer:
Well 180 divided by 15 is 12 so that said there would be 12 floors
So
1 floor 15
2 floor 30
3 floor 45
4 floor 60
5 floor 75
6 floor 90
7 floor 105
8 floor 120
9 floor 135
10 floor 150
11 floor 165
12 floor 180
Hope that helps
Find the square
X^2+2x=35
Answer:
x=-7,5
Step-by-step explanation:
Alexis reads 1/2 of a short story in five minutes. How many short stories could she read per hour?
Answer:
6 stories
Step-by-step explanation:
1 hour = 60 minutes
We can use a ratio to solve
1/2 story x story
------------- = ------------
5 minutes 60 minutes
Using cross products
1/2 * 60 = 5 * x
30 = 5x
Divide each side by 5
30/5 = 5x/5
6 =x
If 51% of a population will vote for Candidate A in an election, what is the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A
Answer:
The value is [tex]P(X < 0.50 ) = 0.43133[/tex]
Step-by-step explanation
From the question we are told that
The population proportion is p = 0.51
The sample size is n = 75
Generally given that the sample size is large enough (i.e n > 30) the mean of this sampling distribution is mathematically represented as
[tex]\mu_x = p = 0.5 1[/tex]
Generally the standard deviation of this sample distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1- p)}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.51 (1- 0.51 )}{75} }[/tex]
=> [tex]\sigma = 0.058[/tex]
Generally the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A is mathematically represented as
[tex]P(X < 0.50 ) = P( \frac{ X - \mu_x }{\sigma } < \frac{ 0.50 - 0.51 }{0.0578 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(X < 0.50 ) = P( Z < -0.1730 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.1720 is
[tex]P( Z < -0.1730 ) = 0.43133[/tex]
So
[tex]P(X < 0.50 ) = 0.43133[/tex]
x + y = -3 ; y= x +3
Answer:
i dont know
Step-by-p explanation:
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $85. Assume that the sample standard deviation is $9. Identify the correct 95% confidence interval estimate for the population mean one-time gift donation.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 95%, mean (μ) = 85, standard deviation (σ) = 9, sample size (n) = 133
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.025
The z score of α/2 (0.025) is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.
The margin of error (E) is given as:
[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{9}{\sqrt{133} } \\\\E=1.53[/tex]
The confidence interval = (μ ± E) = (85 ± 1.53) = (83.47, 86.53)
The confidence interval is between 83.47 and 86.53.
WILL GIVE BRAINLIEST IF CORRECT!!
Ignore the $
Find $n$, such that $n$ cubed equals the square root of one million.
Answer:
[tex]n=10[/tex]
Step-by-step explanation:
[tex]Constructing\ an\ equation\ from\ the\ information\ provided\ about\ n,\\n^3=\sqrt{1,000,000}\\Now,\\ n^3=\sqrt{1000*1000}\ [Representing\ 1\ million\ in\ such\ a\ way\ that\ it\\ equals\ to\ the\ square\ of\ a\ real\ number] \\n^3=1000\\n=\sqrt[3]{1000}[Transposing\ the\ exponent\ 3\ from\ the\ LHS\ to\ its\ root\ in\ RHS]\\n=\sqrt[3]{10*10*10}\ [Representing\ 1000\ in\ terms\ of\ a\ cube\ of\ a\ real\ number]\\n=10[/tex]
Find the exterior angle measure:
47°
74°
Answer:
x = 121°Step-by-step explanation:
The exterior angle is equal to the sum of non-adjacent interior angles
x = 74° + 47°x = 121°Claude owns a store. Every year, he pays
O sales tax
O corporate tax
O marginal tax
O personal property tax
Answer:
B
Step-by-step explanation:
Claude owns a store. Every year, he pays corporate tax. Option B is correct.
Claude owns a store. Every year, he pays _____.
Black space to be filled from the following option,
A. sales tax B. corporate tax C. marginal tax D. personal property tax
A corporate tax is a tax levied on the net gain of an enterprise that is taxed at the commodity level in a particular mark. Net gain for corporate tax is commonly the financial statement of net gain with transformations and may be defined in detail in the tax system of each country.
Since the store owner mostly pays the corporate tax besides there, sales tax is paid by the company owners, marginal tax is also paid by the production companies, and personal property tax is paid by any person.
Thus, Claude owns a store. Every year, he pays corporate tax. Option B is correct.
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plz somebody help me i’ll give you 40 points
Answer:
-3+-2
Step-by-step explanation:
BRAINLIST AND EXTRA POITS
Answer:
(4.75, 2.25)
Step-by-step explanation:
When reflected across the x-axis, the y-coordinate becomes its opposite.
So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.
(4.75 , -2.25) = (4.75 , 2.25)
(4.75, 2.25)
Step-by-step explanation:
When reflected across the x-axis, the y-coordinate becomes its opposite.
So if the pair given was after the reflection, the original will have the same x-value, and the opposite y-value.
(4.75 , -2.25) = (4.75 , 2.25)
I hope this answer helped! please mark brainliest and vote 5 stars >:)
y=2 |x|
(where do I graph it? HELP
Answer:
The graph should help :)
A reflector on the inside of a certain flashlight is a parabola given by the equation y = x2– 25. Find the points where
the reflector meets the lens by finding the values of x when y = 0.
Answer:
[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]
.
Step-by-step explanation:
[tex]\to y = 0[/tex]
[tex]y = x^2 - 25[/tex]
[tex]x^2 - 25 = 0[/tex]
[tex]x^2 = 25[/tex]
[tex]x = \pm \sqrt{25}[/tex]
[tex]x = \pm 5[/tex]
.
[tex]x = 5[/tex]
[tex]x = -5[/tex]
The point where the reflector meets the lens is ± 5.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.
Now the points where the reflector meets the lens are,
0 = x² - 25.
x² = 25.
x = ± 5.
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Hope watches a movie Friday night that was two and one-half hours long. On Saturday, she watched a documentary half as long as Friday’s movie. How long was the documentary?
Answer:
1 hour and 15 minutes thats how long the documentary was
Movie friday night was 2 hours and 30 minutes long.
The documentary was half as long as Friday's movie.
So it will be: [tex]\frac{2 hours .and. 30 minutes}{2} = 1 hour.and .15 minutes[/tex]
There is n arithmetic means between 2 and 46 such that the first mean: last mean is 1:7. find the value of n.
Answer:
n = 10Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as:
Tn = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
Let the sequence be 2, T1, T2, T3...Tn, 46
The common difference is expressed as d = b-a/n+1
T1 = 2 + d
Given b = 46 and a = 2
d = 46-2/n+1
d = 44/n+1
T1 = 2 + (44/n+1)
T1 = 2(n+1)+44/n+1
T1 = 2n+2+44/n+1
T1 = 2n+46/n+1
Similarly;
Tn = 2 + nd
Tn = 2 + n(44/n+1)
Tn = 2 + 44n/n+1
Tn = 2(n+1)+44n/n+1
Tn = (2n+2+44n)/n+1
Tn = 46n+2/n+1
If the ratio of the first mean to last mean is 1:7 then T1/Tn = 1/7
(2n+46/n+1)÷(46n+2/n+1) = 1/7
2n+46/n+1 * n+1/46n+2 = 1/7
2n+46/46n+2 = 1/7
Cross multiply and solve for n:
46n + 2 = 7(2n + 46)
46n + 2 = 14n + 322
46n - 14n = 322-2
32n = 320
n = 320/32
n = 10
Hence the value of n is 10
The area of a square is 144 cm' and one of
its sides is (x + 2) cm. Find x and then theside of the square
Answer:
The side of the square is 12 cm and x = 10 cm.
Step-by-step explanation:
Since it's a square, it's sides have the same length.
Hence, since one of it's sides is x + 2, the other side must be x + 2 as well.
Therefore, we can set up an equation:
[tex](x + 2)^{2} = 144 cm^{2}[/tex]
[tex](x + 2) = \sqrt{144cm^{2}}[/tex]
[tex]x + 2 = 12 cm[/tex]
[tex] x = 10 cm[/tex]
Hence, the side of the square is 12 cm and x = 10 cm.
Hope this helped!
Triangle ABC has vertices A (2, 4), B(0, -4),
and C(-2,-2). It is dilated about the origin
to form triangle A'B'C' with vertices
A' (12, 24), B (0, -24), and C (-12, -12).
What is the scale factor of the dilation?
Answer:
k=6
Step-by-step explanation:
To find the scale factor of a triangle, all you have to do is divide the image from the post image
point A
12/2=6
24/4=6
The scale factor is 6
Math Problem, I will mark brainliet thank youu
A) 0.06 ✔✔.............
Answer:
A. [tex] 0.0 \bar6[/tex]
Step-by-step explanation:
[tex] \pink{ \huge \frac{1}{15}} = \orange{ 0.06666666....} \\ \\ \huge \purple{\frac{1}{15}} = \red{0.0 \bar6}[/tex]
1/6 x 2/3? Tell me exactly how you got this answer like divide or multiply.
Answer:
?
Step-by-step explanation:
nvm idk sorry lol
Answer:
1/9.
Step-by-step explanation:
I just serperated the farctions. 1 x 2 = 2 so that's the numertaor. And 3 x 6 is 18 so that's the denominator. The answer then becomes 2/18. This is where you simplify. 2 divided by 2 is 1. And 18 divided by 2 is 9. So the answer is 1/9.
What is the image point of (-7, 4) after translation left 3 units and up 5 units
Answer:
(-2,1)
Step-by-step explanation:
up and right is adding to the current point so (-7+5,4)
down and left is subtracting to the current point so (-2,4-3)
If you combine them, you get: (-7+5,4-3)-which is (-2,1)
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Answer:
ugfuk jqhebwfjbc gjqjhefjqxenjwfghxhjhef
I need help please asap
Answer:
0, 1/13, 49/100, 1/2, 11/20, 8/9, 1
Step-by-step explanation:
You know the smallest is 0, largest is 1
the middle is 1/2
49/100 is slightly smaller than 1/2 or 50/100
11/20 is slightly larger than 1/2 or 10/20
1/13 is slightly larger than 0
8/9 is slightly smaller than 1
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A store is having a sale. All items for sale are discounted 15%. If the regular price of a bedspread is $45, what is the sale price?
(I NEED THIS QUICK)
Answer:
$38.25
Step-by-step explanation:
45 × 0.15 = 6.75
45 - 6.75 = 38.25
The sale price of the item will be $38.25
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a store is having a sale. All items for sale are discounted by 15%. the regular price of a bedspread is $45,
The discounted price will be calculated as:-
45 × 0.15 = 6.75
45 - 6.75 = $38.25
Therefore, the sale price of the item will be $38.25
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Which expressions are factors of the expression
-24xyz - 12xy + 20xyz
Answer:
xy
2xy
4
Step-by-step explanation:
A factor is a number of term you can factor out of each part of the expression/ or divide it by.
In -24xyz - 12xy + 20xyz
All three parts have xy, so it is a factor
All three don't have 12xz, because -12xy doesn't have z variable for instance.
All three have 2xy.
All three can't factor out 3y, because you can't divide 20 by 3 nicely.
All three can't factor out 4yz, because middle term -12xy doesn't have z.
All three can't factor out 12, because you can't nicely divide 20/12.
All three can factor out 4, because -24, -12, and 20 are all divisible by 4.
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A store has apples on sale for $14.00 for 4 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $56.00? Complete the explanation.
Answer:
51.2 apples, but obviously you can't do that, so i think the answer would be 51 apples
Step-by-step explanation:
PLEASE HELP I NEED TO KNOW THE (RIGHT) ANSWER ASAP!
Answer:
Its an acute so 80 also because if you measure it it shows the same as C
Step-by-step explanation:
Sorry if its wrong tho hope that helped
Magela is modeling 2.56/4. How should she exchange the place-value blocks so she can make 4 equal shares?
Answer:
i think you could......
Step-by-step explanation: