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2 years ago

6

2. An object is launched at an upward velocity of 96 feet per second from the top

1 answer:

kiruha [24]2 years ago

4 0

Answer:

3,304

Step-by-step explanation:

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2 years ago

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Theo bought two hot dogs and two sodas for $4.00. At the same concession stand, Vicky bought three hot dogs and a soda for $4.50

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The hot dog costs 50cents

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3 years ago

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The student council at Sparrowtown High School is making T-shirts to sell for a fundraiser, at a price of $12 apiece. The costs,

alexira [117]

Answer: 36 shirts and costs $432
step by step:
first make an equation with the amount of sold shirts being equal to cost of making them -
12x=10x+72 where x is the number of shirts
then, subtract 10x from 12x to get the variable on the same side -
2x=72
finally, divide by 2 to isolate x
x=36 shirts
to figure out the cost, substitute 36 for x in 10x+72
10(36)+72= 360+72= $432

6 0

2 years ago

Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 1

julia-pushkina [17]

Answer:10 to the power of 8

Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.

3 0

2 years ago

Use the information from the polling agency to determine the sample size needed to construct a 95% confidence interval with a ma

Ber [7]

Answer:

the sample size n= 771

sample proportion is p = 1/2

Step-by-step explanation:

<u>Step1:</u>-

marginal error formula is $\frac{2S.D}{\sqrt{n} }$

but if 'n' is sample size then $n = \frac{1}{(margin error)^{2} }$

Given margin error is 36% = 0.036

$n= \frac{1}{(0.036)^2}$

on simplification , we get n= 777 polling agencies

<u>Step 2</u>:-

$Margin of error = \frac{2\sqrt{p(1-p)} }{\sqrt{n} }$

substitute values , we get

$\frac{36}{100} = \frac{2\sqrt{p(1-p)} }{\sqrt{771} }$

after simplification, we get

$\sqrt{p(1-p)} = \frac{1}{2}$

squaring on both sides, we get

$p(1-p) = \frac{1}{4}$

multiply 'p' inside

$p-p^{2} =\frac{1}{4}$

cross multiplication '4' and simplify

$4p^{2} -4p +1 =0$ ........(1)

finding 'p' value

The equation (1) is of the form $(a-b)^{2} = a^{2} -2ab+b^{2}$

$(2p)^{2} -2(2p)(1)+1^{2} = (2p-1)^2$

$(2p-1)^2 =0$

$p=\frac{1}{2}$

<u>conclusion</u>:-

The sample size is 771

the sample proportion is p = $\frac{1}{2}$

4 0

2 years ago