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MrRa [10]
2 years ago
14

our boss is a biologist who needs wood samples from long-leaf pine trees with a fungal disease which is only visible under a mic

roscope, and she sends you on an assignment to collect the samples. She wants at least 50 different diseased samples. She tells you that approximately 28% of long-leaf pine trees currently have the fungal disease. If you sample 160 long-leaf pine trees at random, what is the probability you’ll have at least 50 diseased samples to return to your boss? (Use the normal approximation to calculate this probability and chose the closest answer to the question.)
Mathematics
1 answer:
Kryger [21]2 years ago
5 0

Answer:

Step-by-step explanation:

In this scenario, the probability of success, p is 28% = 28/100 = 0.28

Number of samples, n = 160

Probability of failure, q = 1 - p = 1 - 0.28 = 0.72

Mean,µ = np = 0.28 × 160 = 44.8

Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68

Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as

P(x ≥ 50) = 1 - P(x < 50)

For P(x < 50)

z = (50 - 44.8)/5.68 = 0.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.819

Therefore,

P(x ≥ 50) = 1 - 0.819 = 0.181

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1 yard = 3 feet 
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The plot of land has an area of 54 square feet. 


8 0
3 years ago
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PLAYSTOP6The volume of the solid iscubic feet. Use the formula V = Bh. All angles are 90°.9 ft.6 ft.ft.3 ft.2 ft.2ft.
ira [324]

Volumen of A Solid

Given a solid with a shape of a constant base B and height H, the volume is:

V = BH

The height of the solid is 1 1/4 ft. We need to calculate the area of the base.

The base consists of a larger rectangle from which has been taken a smaller rectangle.

The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:

A1 = 9 ft * 6 ft = 54 square ft

The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.

The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).

The area of the smaller rectangle is:

A2 = 2 1/2 * 4

The mixed fraction 2 1/2 is converted to improper fraction:

2 1/2 = 2 + 1/2 = 5/2

Thus, the area is:

A2 = 5/2 * 4

A2 = 10 square feet

The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet

B = 44 square feet.

Now for the volume:

V = 44 square feet * 1 1/4 feet

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3 0
11 months ago
Which methods correctly solve for the variable n in the equation 11−n=−20? Select all that apply. First, add n to both sides. Th
Zina [86]

Answer:

First, subtract 11 from both sides. Then, multiply both sides by −1.

First, add n to both sides. Then, add 20 to both sides.

Step-by-step explanation:

Given equation:

11 - n = -20

Solve for variable n

11 - n = -20

Subtract 11 from both sides

11 - n - 11 = -20 - 11

- n = - 31

Multiply both sides by -1

- n(-1) = - 31(-1)

n = 31

First, subtract 11 from both sides. Then, multiply both sides by −1.

11 - n = -20

11 -n +n = -20 + n

11 = -20 + n

11 + 20 = -20 + n +20

31 = n

First, add n to both sides. Then, add 20 to both sides.

First, subtract n from both sides. Then, multiply both sides by −20.

First, add n to both sides. Then, subtract 11 from both sides.

11 - n = -20

11 - n +n = -20 + n

11 = -20 + n

11 - 11 = -20 + n -11

Not possible

First, subtract 11 from both sides. Then, multiply both sides by −1.

First, add n to both sides. Then, subtract 20 from both sides.

11 - n = -20

11 - n + n = -20 + n

11 = -20 + n

11 - 20 = -20 + n - 20

9 = n - 40

Not possible

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What is the measure of [theta]?
Brums [2.3K]
The answer is D
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4 0
3 years ago
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lora16 [44]

Answer:

31,000 on apex

Step-by-step explanation:

6 0
3 years ago
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