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OverLord2011 [107]
3 years ago
10

Help ME PLEASE> IF YOU SOLVE THIS I WILL GIVE YOU BRAINLIEST AND 20 points!

Mathematics
1 answer:
NeX [460]3 years ago
5 0
0.25x² + 8.5 - 17 = 0

1)
a = 0.25
b = 8.5
c = -17


2)

- 8.5 ± √(8.5)²-4(0.25) (-17)
------------------------------------------
2(0.25)



3)

-34 ± √1428
----------------------
2


4)

-35.894 and 35.894
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Mike's car broke down 5 miles from the auto shop. If he can push his car 1,056 feet per hour, how many hours will it take him to
Alinara [238K]

Answer:

It'll take 25 hours to get to the auto shop

Step-by-step explanation:

Given

Distance = 5 miles

Speed =1056 feet per hour

Required

How long will it take to the auto shop

This can be solved using Speed's formula;

Speed = \frac{Distance}{Time}

Substitute values for Speed and Distance

\frac{1056 ft}{hr} = \frac{5 miles}{Time}

1 mile = 5280 feet;

So:

\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}

\frac{1056 ft}{hr} = \frac{26400ft}{Time}

Cross Multiply

Time * 1056ft = 26400ft * hr

Divide both sides by 1056ft

Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}

Time = \frac{26400ft * hr}{1056ft}

Time = 25hr

<em>Hence, it'll take 25 hours to get to the auto shop</em>

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Three kinds of mathematical statements
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n 19451945​, an organization asked 14031403 randomly sampled American​ citizens, "Do you think we can develop a way to protect o
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Answer:

We conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

Step-by-step explanation:

We are given that an organization asked 1403 randomly sampled American​ citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against​ us?" with 737 responding yes.

We have to conduct a test to determine that a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

<u><em>Let p = percentage of citizens feel the country could develop a way to protect itself from atomic bombs in 1945.</em></u>

SO, Null Hypothesis, H_0 : p \leq 50%   {means that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs}

Alternate Hypothesis, H_A : p > 50%   {means that majority of the citizens feel the country could develop a way to protect itself from atomic bombs}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = proportion of citizens responding yes in a sample of 1403 citizens =  \frac{737}{1403}  

           n = sample of citizens = 1403

So, <u><em>test statistics</em></u>  =  \frac{\frac{737}{1403} -0.50}{{\sqrt{\frac{\frac{737}{1403}(1-\frac{737}{1403})}{1403} } } } }

                               =  1.898

The value of the test statistics is 1.898.

<em>Now at 1% significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is less than the critical value of z as 1.898 < 2.3263, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

3 0
4 years ago
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