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Grace [21]
3 years ago
12

Assume that the readings on the thermometers are normally idistributed with a mean of 0◦ and a standard deviation of 1.00◦C. Fin

d P25, the 25th percentile. This is the temperature reading separating the bottom 25 % from the top 75 %
Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

This temperature reading is -0.675ºC.

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 problem, we have that:

Assume that the readings on the thermometers are normally distributed with a mean of 0◦ and a standard deviation of 1.00◦C. This means that \mu = 0, \sigma = 1

Find P25, the 25th percentile.

This is the value of X when Z has a pvalue of 0.25. So we use Z = -0.675, since this happens between Z = -0.67 and Z = -0.68.

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

-0.675 = \frac{X - 0}{1}

X = -0.675

This temperature reading is -0.675ºC.

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2 years ago
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3:1

Step-by-step explanation:

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2 years ago
What digit can be in the ones place of a number that has 5 as a factor
saveliy_v [14]
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3 years ago
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

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(c) 4 mph for 2.5 hours and 5 mph for 2 hours

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3 0
3 years ago
Find the balance in the account with a principal of $4,100 earning 5% compounded monthly after 24 years.
borishaifa [10]

Answer:

The formula is

A=p (1+r/k)^kt

A future value?

P present value 4100

R interest rate 0.04

K compounded monthly 12

T time 10 years

A=4,100×(1+0.04÷12)^(12×10)

A=6,112.41. ..answer

Step-by-step explanation:

5 0
3 years ago
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