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frez [133]
3 years ago
13

assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the var

iable are less than 17. Determine the area under the density curve that lies to the right of 17.​
Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Answer:

72.9%

Step-by-step explanation:

Given that :

27.1% of all possible observation of a certain variable are less than 17 ;

That is ;

Let variable = y ;

Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271

Proportion that lies to the right :

P(y > 17) = 1 - P(y < 17)

P(y > 17) = 1 - 0.271

P(y > 17) = 0.729 = 72.9%

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3 years ago
A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po
Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call h the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is h - 49.

The wire length d is 14 ft longer than height h, hence

d= h+14.

Thus we get a right triangle with hypotenuse d= y+14, perpendicular  h, and base h-49; therefore, the Pythagorean theorem gives

(h-49)^2+h^2 = (h+14)^2

which upon expanding we get:

h^2-98h+2401 = h^2+28h+196

further simplification gives

h^2-126h+2205=0,

which is a quadratic equation with solutions

h =21ft\\h = 105ft.

Since the first solution h =21ft will give the triangle base length of 21ft-49ft = -28ft which is negative; therefore, we disregard it and pick the solution h = 105ft.

Hence, the height of the pole is 105ft.

3 0
3 years ago
Caleb drives for 3.5 hours at 65 miles per hour. How far does he travel? do not round your answer
Allushta [10]

Answer:

227.5

Step-by-step explanation: You have to multiply 3.5 times 65

Hope this helps!!!

6 0
3 years ago
What is the percent of decrease from 10 to 3?<br>Write your answer using a percent sign (%).<br>​
Nadya [2.5K]

Answer:

Convert the decimal to a percentage by multiplying the decimal by  

100 .

Step-by-step explanation:

4 0
3 years ago
Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B6%5D%7B5%7D%20%20%5Ctimes%20%20%5Csqrt%5B2%5D%7B5%7D%20%20%3D%20" id
jek_recluse [69]

Step-by-step explanation:

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=  {5}^{ \frac{1 + 3}{6} }

=  {5}^{ \frac{4}{6} }

=  {5}^{ \frac{2}{3} }

=  \sqrt[3]{ {5}^{2} } (ans)

5 0
3 years ago
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