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damaskus [11]
3 years ago
7

One morning, Mr. Chaplin, the Vice Principal took his own temperature in Centigrade as 35 and told Mrs. Jenkins that this is the

same as 90 Fahrenheit. Was the Vice Principal giving Mrs. Jenkins correct data? (Yes or No)
Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

Answer:

Yep

Step-by-step explanation:

You might be interested in
Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework, what other fract
True [87]

Answer:

6/21, 12/42

Step-by-step explanation:

Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework.

The number of hours she spends doing her maths homework is calculated as:

= 2/7 × 21

= 6 hours

The other fractions that could represent the amount of time Mary spends doing her math homework is given as:

6 hours/21 hours = 6/21

Also , that could be represented as:

12/42

Therefore, the other fractions that could represent the amount of time Mary spends doing her math homework is : 6/21 , 12/42

5 0
3 years ago
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars
velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that \mu = 965, \sigma = 113

Sample of 57:

This means that n = 57, s = \frac{113}{\sqrt{57}} = 14.97

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

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

By the Central Limit Theorem

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

Z = \frac{972.5 - 965}{14.97}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 939.6

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

Z = \frac{939.6 - 965}{14.97}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0
2 years ago
Match each problem to its solution 8,8.2,9,56.25
Mekhanik [1.2K]

The computation shows that the amount will be:

  • $56.25.
  • $9
  • 8
  • 8.2 pounds

<h3>How to compute the values?</h3>

Jonah earns $12.50 per hour

He works for 4.5 hours

Amount he earned will be:

= 12.50 × 4.5 = $55.25

Items worth is $41.23

Amount paid is $50.23

Extra amount paid will be:

= 50.23 - 41.23

= $9

Length of cloth available is 20 m

Length of one long-sleeved blouse is 2.5m

Number of blouses that can be made will be:

= 20/2.5 = 8

Potatoes weight is 3.2 pounds

Oranges weight is 2.3 pounds

Onions weight is 2.7 pounds

Total weight of the purchase will be:

= 3.2 + 2.3 + 2.7 = 8.2 pounds

Learn more about the computation of amount on:

brainly.com/question/20038451

#SPJ1

<u>Complete question:</u>

Match each problem to its solution. 8 8.2 9 56.25 Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn? arrowRight Jessica purchased items worth $41.23 at the local grocery store. The cashier made a mistake while ringing up her items, and Jessica ended up paying $50.23. How many extra dollars did she pay? arrowRight Josie has 20 meters of cloth. She needs to make long-sleeved blouses with that cloth. If one long-sleeved blouse requires 2.5 meters of cloth, how many blouses can she make with the material? arrowRight Jeremy bought 3.2 pounds of potatoes, 2.3 pounds of oranges, and 2.7 pounds of onions. How many pounds does his purchase weigh? arrowRight

3 0
2 years ago
What logarithmic function represents the data in the table?
alina1380 [7]
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 = log_6x
8 0
3 years ago
Read 2 more answers
14 mm<br> 29 mm<br> Calculate the surface area.
tino4ka555 [31]

Answer:

14x29=406 2hich would be the area

Step-by-step explanation:

4 0
3 years ago
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