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WARRIOR [948]
3 years ago
6

A ladder is leaning against a vertical wall. The distance from the top of the ladder to the base of the wall is 17 feet. The dis

tance from the base of the wall to the bottom of the ladder is 7 feet. What is the length of theladder (nearest tenth)?
Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0

Answer:

18.4 feet

Step-by-step explanation:

-use the formula C^2 = A^2 + B^2 for a right triangle, which is made by the ladder and the wall.

-let the ladder be C, the wall be a, the base to the bottom be b.

-substitude into the equation, which will leave us with:

C^2 = 17^2 + 7^2

C^2 = 289 + 49

C^2 = 338

C = square root of 338, which is 18.4 feet!

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in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

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

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
PLEASE HELP I AM STUCK ON THIS TOO!!!
Kryger [21]
R=0.957, because 68 ->70
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3 years ago
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Why would they buy a car for 1000 and then sell it for 100 there is no markup
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-2/3 is the slope of the line
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12)<br> 4<br> 24<br> 4<br> 36<br> 6<br> find the scale factor
Yakvenalex [24]

Answer:

2

Step-by-step explanation:

4, 24, and 36 are divisible by 4, but there is a 6 and 6 is not divisible by 4. However, all the numbers are divisible by 2.

3 0
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