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Gennadij [26K]
4 years ago
13

A 3-foot-tall mailbox casts a shadow that is 1.8 feet long. At the same time, a nearby street lamp casts a shadow that is 12 fee

t long. How tall is the street lamp?
Mathematics
1 answer:
Natasha2012 [34]4 years ago
5 0

Answer:

20 feet tall

Step-by-step explanation:

If these are at the same angle, which i'm assuming they are, the following would happen:

Put length of 1 item over its shadows length equal to 2nd items length over its shadow. Put x in the place you want to find (Lamp in this case)

(3/1.8)=(x/12)

Cross multiply

36=1.8x

Divide by 1.8 on both sides

20=x

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The square root of the quantity 4 x minus 3 end quantity equals 5.
zavuch27 [327]

Answer:

The statement is false.

Step-by-step explanation:

Given,

\sqrt{4  \times  - 3}  = 5

To Prove

Soln:

  • \sqrt{4  \times  - 3}

=2i \sqrt{3}

=>2i \sqrt{3} ≠5

Hence, 2i√3 is not equal (≠) to 5.

3 0
2 years ago
Four less than five times a number is equal to 11
SVETLANKA909090 [29]
5*3=15
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7 0
4 years ago
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of
zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0
3 years ago
1/4÷2 summary model number
masya89 [10]
If I was to just divide it I would say it is 1/8
8 0
3 years ago
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Mekhanik [1.2K]

Answer:

<em>t</em><em>h</em><em>e</em><em> </em><em>c</em><em>o</em><em>r</em><em>r</em><em>e</em><em>c</em><em>t</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>i</em><em>s</em><em> </em><em>C</em><em> </em><em>1</em><em>/</em><em>3</em><em>2</em><em> </em><em>I</em><em>b</em>

Step-by-step explanation:

hope it helps

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4 years ago
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