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4 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.

1 answer:

Vlad [161]4 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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3 years ago

Read 2 more answers

Find two numbers whose sum is 24 and whose product is 63.

julsineya [31]

The numbers you are looking for are 3 and 21

21×3=63
And 21+3=24

7 0

4 years ago

Need help quick and fast!

scZoUnD [109]

Answer:

Commutative= 3x2=2x3

Associative Multiplication= 2x(6x8)=(2x6)x8

Distributive= 5(7+2)=5x7+5x2

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Step-by-step explanation:

7 0

3 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

3 years ago

One number is 8 more than another. If the sum of the two numbers is 166, find the two numbers.

Igoryamba

$\bf \underline{Given : }$

One number is 8 more than another.

Sum of the two numbers is 166.

$\bf \underline{To \: find \: out : }$

Find the two numbers.

$\bf \underline{Solution : }$

Let the one number be x.

Then,another number = x + 8

<u>According to the question </u><u>,</u>

Sum of the two numbers is 166. [ Given ]

$\sf\implies \: x + x + 8 = 166$

$\sf \implies \: 2x + 8 = 166$

$\sf \implies \: 2x = 166 - 8$

$\sf\implies \: 2x = 158$

$\sf \implies \: x = \cancel \dfrac{158}{2}$

$\sf \implies \: x = 79$

One number = x = 79

Another number = x + 8 = 79 + 8 = 87

4 0

3 years ago