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LenaWriter [7]
3 years ago
11

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

inches) and the standard deviation is 3 inches. Estimate the probability that a randomly-selected male is between 67 and 74.5 inches tall. Express your answer as a decimal. Question 8 options: 0.77 0.23 0.67 0.5
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

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Is 8(a+b) and (6a+3b)+2b equivalent
miv72 [106K]

Answer:

no

Step-by-step explanation:

8a+8b are not equivalent 6a+5b

5 0
3 years ago
A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
Solve 1/2 + (- 3/4) =
Crazy boy [7]

Answer:

-0.25 or 1/4

Step-by-step explanation:

Eh just know

5 0
3 years ago
NEED HELP ASAP
Anika [276]

Answer:

Y=4x+9

Step-by-step explanation:

Use rise over run to find 2 points for the slope. B is as simple as looking where the line passes y.

6 0
3 years ago
Read 2 more answers
4) Find the volume of the pyramid.
Ahat [919]

Answer:

672

Step-by-step explanation:

12 * 12 = 144

144* 14 = 2016

2016 / 3 = 672.

3 0
3 years ago
Read 2 more answers
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