Answer:
I think b it's the only one that makes sense to me
( 575.75 - 65 ) / 15 = amount each player gets
575.75 - 65 = 510.75
510.75 / 15 = $34.05 given to each player
your answer choice should be A
A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 360 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview
Reducing the sample size to one-third, increases the error by √3.
Margin of ErrorThe margin of error is given by:
[tex]E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\where\ z_\frac{\alpha}{2} \ is \ the \ confidence\ level\ z\ score, \sigma\ is \ mean\ and\ n\ is\ sample\ size.\\\\n=360, hence:\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{360} } \\\\E=0.0527(z_\frac{\alpha}{2} *\sigma)\\\\For\ n = 1/3 * 360=120:\\\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{120} } \\\\E=0.09122(z_\frac{\alpha}{2} *\sigma)[/tex]
Reducing the sample size to one-third, increases the error by √3.
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Distribute to create an equivalent expression with the fewest symbols possible. 3(7x+1)=
3(7x + 1)
3 . 7x = 21x
3.1 = 3
3(7x + 1 ) = 21x + 3
The equivalent expression with the fewest symbols possible is 21x+ 3.
What is Distributive Property?The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
we have,
3 x (7x+ 1)
By Distributive property we know
a x( b+ c) = a x b + a xc
ax (b-c) = a x b - a x c
So, 3 (7x + 1 )
= 3 (7x)+ 3(1)
= 21x + 3
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Use the long division method to find the result when 4x3 + 4x2 + 19x + 9 is
divided by 2x + 1.
Answer:
47x+42/2
Step-by-step explanation:
simplify 9/2
((19x+20)+(9/2×x))+1
(47x+40)/2+1
(47+42)/2
Which expression is equivalent to
(3/2p+1)(1/2p+3)
Answer:
3/4p²+5p+3
Step-by-step explanation:
[tex]\dfrac{3}{4}p^2+5p+3[/tex] is the correct answer on simplifying [tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)[/tex].
SimplificationSimplification of expression is to get an expression in the rearranged form.
How to simplify the arithmetic expression?Simplify the given expression as-
[tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)=\dfrac{3}{4}p^2+3\times \dfrac{3p}{2}+\dfrac{p}{2}+3\\=\dfrac{3}{4}p^2+5p+3[/tex]
Thus, option C is the correct answer.
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The triangle shown is reduced to form a similar triangle that is 40% smaller than its current size. Find the perimeter of the triangle.
Step-by-step explanation:
6x+2x+10+8x-30= 16x-20= 4(x-5)
40% of perimeter = 1.6(x-5)
There are about 30.5 centimeters in a foot. There are 3 feet in a yard. Choose one answer
Answer:
30feet= 91.5 centimeters
The total of cm in the 1 yard based upon 30.5 centimeters in a foot will be 91.5 centimeters.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
In another word, multiplication is nothing but changing one value by-product of another value
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that
1 feet = 30.5 centimeters
Given that
1 yard = 3 feet
Hence 1 yard = 3 × 30.5 centimeter.
1 yard = 91.5 centimeters hence in 1 yard there will be 91.5 centimeters
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Find the solutions to the equation below.
Check all that apply
X^2-9=0
A X=-2
B. x= 3
C. x= -1
D. x= 2
Ex= 1
F. x= -3
A serving of chickpeas contains 1,850 milligrams of potassium. How many grams of potassium is that?
Answer:
1.85 grams
Step-by-step explanation:
1 milligram is equal to 0.01 gram
so 1850 should be equal to 1.85 grams
Answer: 1.85 grams of potassium.
Step-by-step explanation: Since 1,000 milligrams is equal to 1 gram, you have to divide 1850 by 1000. The results will be 1.85.
Which inequality represents this sentence?
Five plus four is less than ten plus two.
5 + 4 < 10 + 2
05 +4 > 10 + 2
0 5+4 < 10 + 2
o 10 + 2 < 5 +4
Model of car driven… is it qualitative or quantitative?
Answer:
ok so
Step-by-step explanation:
ok so if theres numbers its qualitative if it has to do with how it drives is quantitative
A bakery has 56 donuts and 32 muffins for sale. What is the ratio of muffins to donuts?
A.
7 to 4
B.
1 to 4
C.
4 to 7
D.
4 to 1
Answer:
C. 4:7
Step-by-step explanation:
muffins 32
donuts 56
ratio of muffin to donut
= 32:56
= 16:28
= 8:14
= 4:7
Answer:
C. 4 to 7
Step-by-step explanation:
32:56
32÷8 = 4 and 56 ÷ 8 = 7
Smallest common factor is 8
What is the rule for the function shown in the table?
Input x -2, -1, 0, 1, 2
Output y 4, 1, -2, -5, -8
y = -2 x
y = x – 6
y = -3 x - 2
y = -2 x – 2
Answer:
y = - 3x - 2
Step-by-step explanation:
The function is linear and can be expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-4}{-1-(-2)}[/tex] = [tex]\frac{-3}{-1+2}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , then
y = - 3x + c
To find c substitute any ordered pair into the equation
using (0, - 2 ) , then
- 2 = - 3(0) + c = 0 + c ⇒ c = - 2
y = - 3x - 2 ← function rule
Answer:
y = - 3x - 2
Step-by-step explanation:
A school tested all of their 250 lights and 16 of them were faulty.Find the percentage of lights that were faulty (do not round your answer)
Answer:
6.4% of the lights are faulty
Step-by-step explanation:
Well you can make a proportion out of this question.
so lets do faulty/total
16/250 = x/ 100
Since x/100 is basically finding the percent since percent means out of a hundred.
Cross multiply to solve.
250x= 1600
SOlve for x
X=6.4
6.4 percent of the lights are faulty.
How do i solve this????
Find the measure of x and y (NO LINKS OR REPORT)
Answer:
y= 35
x=55
Step-by-step explanation:
I'm desperate, this is my last assignment to do for now
Answer:
Given Below. [ done below, side changing which changed sign + to - and - to + ]Step-by-step explanation:
6. x + 21 = 56
→ x = 56 – 21
→ x = 35
7. n – 13 = 8
→ n = 8 + 13
→ n = 21
8. w – 7 =41
→ w = 41 + 7
→ w = 48
9. b + 22 = 89
→ b = 89 – 22
→ b = 67
10. z – 53 = 26
→ z = 26 + 53
→ z = 79
QUESTION
WORTH
20 POINTS!!! HELP ASAP PLEASE
why am i alive
Answer:
Cause you were born, as simple as that. Plenty of people deal with harsh life.
Step-by-step explanation:
That's not a math question BUT
If the question is why am I alive, I will answer it.
Although i am not a Christian(I deeply respect those who are, though),
I still believe there is an unnatural force that
selected you to be born and experience life for yourself.
If you are thinking about killing yourself, please call 800-273-8255
What is the following quotient? StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 StartRoot 9 EndRoot EndFraction.
Exponent properties help us to simplify the powers of expressions. The quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).
What are the basic exponent properties?[tex]{a^m} \cdot {a^n} = a^{(m+n)}\\\\\dfrac{a^m}{a^n} = a^{(m-n)}\\\\\sqrt[m]{a^n} = a^{\frac{n}{m}}\\\\(a^m)^n = a^{m\times n}\\\\(m\times n)^a = m^a\times n^a\\\\[/tex]
Given to us
[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex]
We will solve the problem using the basic exponential properties,
[tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = \dfrac{6}{\sqrt[3]{9}} - \dfrac{3(\sqrt[3]{6})}{\sqrt[3]{9}}\\\\ = (6\cdot 3^{-\frac{2}{3}}) - [3 \cdot (2 \cdot 3)^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\= (2 \cdot 3 \cdot 3^{-\frac{2}{3}}) - [3 \cdot 2^{-\frac{2}{3}} \cdot 3^{-\frac{2}{3}}3^{-\frac{2}{3}}]\\\\[/tex]
[tex]= [2 \cdot 3^{(1-\frac{2}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(1+\frac{1}{3} - \frac{2}{3})}]\\\\= [2 \cdot 3^{(\frac{1}{3})}] - [2^{\frac{1}{3}}\cdot 3^{(\frac{2}{3})}]\\\\= 2\sqrt[3]{3} - \sqrt[3]{2}\sqrt[3]{9}\\\\=2\sqrt[3]{3} - \sqrt[3]{18}[/tex]
Hence, the quotient of the given expression [tex]\dfrac{6 - 3(\sqrt[3]{6})}{\sqrt[3]{9}}[/tex] is (2∛3 - ∛18).
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Answer:
A
Step-by-step explanation:
ansawer k lol
In a rectangle, the length is three times the width. If the area of the rectangle is 18 square meters, find
the length of the rectangle to the nearest hundredth
of a meter.
ASAP A 6-yard roll of plastic wrap costs $6.66. What is the price per foot?
how to find x in a parallelogram?
Step-by-step explanation:
angles are bisected by diagonals in parallelogram
11x-2 = 28
11x = 30
x=30/11
James borrows 60000 dollars from a bank that charges interest at an annual rate of 5 percent, compounded monthly.
Calculate the monthly payment that James would have to make in order for the loan to be paid off after exactly 20 years.
Answer:
$395.97
Step-by-step explanation:
pls help! how would I solve this problem ?The figures shown are similar. Find the lengths of x, y, and z.
While waiting for a video game to download, you notice that 30%, percent of 32,000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
Answer:
9600
Step-by-step explanation:
30% can also be written as 0.3 so 0.3×32000 is 9600. 9600 kilobytes have been downloaded so far
Find the perimeter and area of the figure.
2 in.
2 in.
2 in.
2 in.
1 in.
Braden is admiring a statue in Springfield Park. The statue is 3.4 meters taller than he is, and Braden is standing 8 meters away. How far is it from the top of the statue to Braden's head? If necessary, round to the nearest tenth. meters
Answer:
8.69 m
Step-by-step explanation:
We have to use the Pythagorean theorem here
Statue is 3.4 tall, that's one leg of the right traingle
Braden is 8 meters away, that's the longer leg of the right triangle
the hypotenuse would be the distance between Braden's head and the top of the statue (let's assume it is X )
x^2 = 3.4^2 + 8^2 = 11.56 + 64 = 75.56
x = 8.69
Evaluate (-A) 2 for A = 5, B = -4, and C = 2.
Answer:
=-10 or 25 depending on the placing of the 2
Step-by-step explanation:
(-A)2=(-5)x2=-10
(-A)^2=(-5)x(-5)=25
Samantha is paid a set wage of $962.50 for a 35-hour week, plus double time for overtime.
In one particular week she worked 40 hours. What are Samantha’s earnings?
which of the following is a linear function? (89 POINTS)HURRY PLSSSSS
A linear function is a straight line formed on a coordinate plane.
To classify an equation as a linear function:
It must not have any exponent in the equation. If there is a fraction, the denominator of that fraction must not multiply by x.If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.
Option A - y = x³ + 1:
This equation has an exponent in the variable x. Hence, this is a non-linear function.Option B - 5x/6 = y - 4:
This equation has no exponents in the equation. Hence, this is a linear function and also our answer.Option C - y = 8x²
This equation has an exponent in the term 8x². Hence, this is a non-linear function.Option D - y = 1/5x
The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.Hence, Option B is correct.
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The parking garage is located 4 floors underneath ground level.
Answer:
Sometimes
Step-by-step explanation:
FBI agents use them I think