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2 years ago

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In a spelling bee, scholarships are awarded to the top three spellers. The first-place speller receives $5,000. The second-place

speller receives $3,000. Third place receives $2,000. Twelve students participate in the spelling bee. Complete the sentences below. The situation represents a important. There are ways to award the prizes.

1 answer:

Margaret [11]2 years ago

7 0

Answer:

Step-by-step explanation:

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The triangles are congruent by the SSS congruence theorem. Which rigid transformation(s) can map MNP onto TSR? Reflection only r

ElenaW [278]

Answer:

the answer here is C) translation, then reflection

Step-by-step explanation:

if you translate point P to point R and then translate across that point they map onto each other

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2 years ago

Read 2 more answers

The owners of Prim's Pizza are concerned that many of their customers are starting to purchase pizza from The Pizza Palace becau

AleksandrR [38]

Answer:

$(240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953$

$(240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047$

And the confidence interval for the difference is between:

$27.953 \leq \mu_1 -\mu_2 \leq 32.047$

Step-by-step explanation:

We have the following info given:

$\bar X_1 = 240$ sample mean for medium Pizzas from Prim's

$\bar X_2 = 210$ sample mean for medium Pizzas from Pizza Place

$s_1 =8.6$ sample deviation for Prim's

$s_2 =5.7$ sample deviation for Pizza Palca

$n_1 =n_2 = 100$ sample size selected for each case

The confidence interval for the difference of means is given by:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

And for the 95% confidence we need a significance level of $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ , the degrees of freedom are given by:

$df= n_1 +n_2 -2= 100+100-2 =98$

And the critical value would be

$t_{\alpha/2}= 1.984$

And replacing we got:

$(240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953$

$(240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047$

And the confidence interval for the difference is between:

$27.953 \leq \mu_1 -\mu_2 \leq 32.047$

8 0

2 years ago

Gianna is going to throw a ball from the top floor of her middle school. When she throws the hall from 48 feet above the ground,

vazorg [7]

Answer:

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

Step-by-step explanation:

The height h of the ball is modeled by the following equation

$h(t)=-16t^2+32t+48$

The problem want you to find the times the ball will be 48 feet above the ground.

It is going to be when:

$h(t) = 48$

$h(t)=-16t^{2}+32t+48$

$48=-16t^{2}+32t+48$

$0=-16t^{2}+32t+48 - 48$

$16t^{2} - 32t = 0$

We can simplify by 16t. So

$16t(t-2)= 0$

It means that

16t = 0

t = 0

or

t - 2 = 0

t = 2

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

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2 years ago

Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs

user100 [1]

Answer:

500, or 400 if its 4

Step-by-step explanation:

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2 years ago

A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water

Alex

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

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2 years ago