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3 years ago

Rain fell at the steady rate of 2 inches every 3 hours.

Mathematics

2 answers:

Mamont248 [21]3 years ago

8 0

what is your question then?

ASHA 777 [7]3 years ago

6 0

Answer:

wow that's a lot of rain

Step-by-step explanation:

(It falls at a rate of 2/3 of an inch per hour if that's what you were having trouble with??)

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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are 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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

$-1.475 = \frac{15.5 - \mu}{\sigma}$

$15.5 - \mu = -1.475\sigma$

$\mu = 15.5 + 1.475\sigma$

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

$1.28 = \frac{16.3 - \mu}{\sigma}$

$16.3 - \mu = 1.28\sigma$

$\mu = 16.3 – 1.28\sigma$

From above

$\mu = 15.5 + 1.475\sigma$

$15.5 + 1.475\sigma = 16.3 – 1.28\sigma$

$2.755\sigma = 0.8$

$\sigma = \frac{0.8}{2.755}$

$\sigma = 0.29$

The mean is

$\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93$

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0

3 years ago

Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?

tankabanditka [31]

Answer:

there in not enough information in your question to get an answer

8 0

3 years ago

Read 2 more answers

An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at

solong [7]

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

3 men, 3 women

↓

_______________________|________________________

↓ ↓ ↓ ↓

3 men 2 men 1 man 0 men

0 women 1 woman 2 woman 3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 × 1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

6 0

3 years ago

Find the value of 5(a-4b) when a =-7 and b=1/4

tatiyna

Answer:

- 40

Step-by-step explanation:

$5(a - 4b) \\ = 5 \bigg(- 7 - 4 \times \frac{1}{4} \bigg ) \\ = 5 \bigg(- 7 - 1 \bigg ) \\ = 5 \times ( - 8) \\ = - 40$

3 0

3 years ago

Which of the following number is divisible by both 2 and 3

DENIUS [597]

Answer:

6, 12, 18,

Step-by-step explanation:

u didn't said the numbers but here is the explanation

6÷2=3

6÷3=2

12÷3=4

12÷2=6

18÷2=9

18÷3=6

4 0

3 years ago

Read 2 more answers