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zhenek [66]
3 years ago
11

A 32-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 35 m. Find the length

of the shadow. If necessary, round your answer to the nearest tenth.
Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

sqr 201

Step-by-step explanation:

use the Pythagorean theorem

35 is the hypotenuse so 35^2-32^2=x^2

x= sqr 201

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What is 3/4y=7/8 answer for what is y
ANTONII [103]

y = 7/6.....................

5 0
3 years ago
pamela bought two caps at $9 each (c).she also bought two jean shirts that together cost her $70 (j). if she got a discount of $
enot [183]

Answer:

$71

Step-by-step explanation:

9 + 70 - 8 = 71

8 0
3 years ago
Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th
Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u>\mu<u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, H_A : \mu < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S.  = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean contents of cola bottle = \frac{\sum X}{n} = 299.03 ml

            \sigma = population standard deviation = 3 ml

            n = sample of bottles = 6

So, <em><u>test statistics</u></em>  =  \frac{299.03-300}{\frac{3}{\sqrt{6} } }     

                               =  -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0
3 years ago
PLEASE HELP I NEED TO PASS <br> “Find g(6) when g(x)=2x-16”
Annette [7]

Answer:

-4

Step-by-step explanation:

you just plug in. so, 2(6)-16

so, 2*6 is 12

12-16=-4

3 0
3 years ago
Read 2 more answers
Find the output for the following function machine when x = 5
seropon [69]

Answer:

24

Step-by-step explanation:

-2×5=-10

-10+34= 24

8 0
3 years ago
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