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zmey [24]
3 years ago
13

Rainforest data:

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer:

x is = 11.7 μ=7

z11.7 ≈  1.3

next two is A and B

Step-by-step explanation:

These are correct 100%

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c
Anestetic [448]

Answer:

a) The mean is \mu = 60

b) The standard deviation is \sigma = 9

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when X = 55.5, Z = -0.5

So

Z = \frac{X - \mu}{\sigma}

-0.5 = \frac{55.5 - \mu}{\sigma}

-0.5\sigma = 55.5 - \mu

\mu = 55.5 + 0.5\sigma

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when X = 71.52, Z = 1.28

So

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{71.52 - \mu}{\sigma}

1.28\sigma = 71.52 - \mu

\mu = 71.52 - 1.28\sigma

Since we also have that \mu = 55.5 + 0.5\sigma

55.5 + 0.5\sigma = 71.52 - 1.28\sigma

1.78\sigma = 71.52 - 55.5

\sigma = \frac{(71.52 - 55.5)}{1.78}

\sigma = 9

\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60

Question

The mean is \mu = 60

The standard deviation is \sigma = 9

6 0
2 years ago
The number of chairs increased by 7 <br><br> A.cx7<br> B.c+7<br> C.c/7<br> D.c-7
miss Akunina [59]
B.c+7
hope that helps!
7 0
3 years ago
Write the ratio as a fraction in simplest form 25 to 45
brilliants [131]

Answer:

5/9

Step-by-step explanation:

3 0
3 years ago
Question 1 x - 2.5 = -3​
MAVERICK [17]

Answer:

x = -.5

Step-by-step explanation:

x - 2.5 = -3​

Add 2.5 to each side

x - 2.5+2.5 = -3+2.5​

x = -.5

8 0
2 years ago
The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use n
liraira [26]

Given :

The square of a number, x, is 16 less than eight times the number.

To Find :

The value of x .

Solution :

The mathematical equation with all given data is :

x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4

Therefore , the value of x is 4 .

Hence , this is the required solution .

3 0
3 years ago
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