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oee [108]
3 years ago
6

What precent of grades are 90 or less?

Mathematics
2 answers:
weqwewe [10]3 years ago
5 0
I believe that it would be c. 75%
iogann1982 [59]3 years ago
3 0
I’m thinking 75% because on the number line, about 75% of students got a 90 or less
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Question 5 (1 point)
maks197457 [2]

Answer:

228 cookies wil be rejected in a 5,000 count batch of cookies.

Step-by-step explanation:

Problems of normally distributed samples 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.

In this question:

\mu = 42, \sigma = 1.5

Proportion of rejected cookies.

Less than 39:

pvalue of Z when X = 39.

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

Z = \frac{39 - 42}{1.5}

Z = -2

Z = -2 has a pvalue of 0.0228.

More than 45:

1 subtracted by the pvalue of Z when X = 45.

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

Z = \frac{45 - 42}{1.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

Total:

2*0.0228 = 0.0456

How many cookies wil be rejected in a 5,000 count batch of cookies?

The proportion of cookies rejected is 0.0456. Out of 5000:

0.0456*5000 = 228

228 cookies wil be rejected in a 5,000 count batch of cookies.

6 0
4 years ago
Given that z is a standard normal random variable, compute the following probabilities: a. P(z ≤ −1) b. P(z > .95) c. P(z ≥ −
serg [7]

Answer:

Step-by-step explanation:

Given that Z is a standard normal variate.

We are to calculate the probabilities as given

F(z) represents the cumulative probability i.e. P(Z<z)

a. P(z ≤ −1)

=F(-1)

= 0.158655

b. P(z > .95)

= 1-F(0.95)

= 0.1711

c. P(z ≥ −1.5)

= 1-F(-1.5)

= 0.9332

d. P(−.5 ≤ z ≤ 1.75)

=F(1.75)-F(-0.5)

= 0.6514

e. P(1 < z ≤ 3)

=F(3)-F(1)

=0.1573

8 0
4 years ago
HELP ASAP!!! EXTRA POINTS!!!
Burka [1]

Answer:

30

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 2.65 divided by 0.25
AnnyKZ [126]

2.65 ÷ 0.25 = 10.6

Hope this helps you

-AaronWiseIsBae

5 0
3 years ago
Read 2 more answers
if sarah is 24 years younger than her mother and if the sum of their ages is 68, how old is sarah what would x represent and x-2
timama [110]
2x-24 = 68 2x = 92 so x = 46. Sarah is 22 and her mum is 46.
3 0
4 years ago
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