All categories

2 years ago

What is the mode for the following set of data? 5,7,8,10,12,12

Mathematics

2 answers:

aliina [53]2 years ago

7 0

Answer:

Step-by-step explanation:

The mode is the value in the set that occurs most often

In 5,7,8,10,12,12

12 occurs most often

Volgvan2 years ago

4 0

Answer:

Step-by-step explanation:

its the most common number

You might be interested in

olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the

yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that $\mu = 7.2, \sigma = 2.1$

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

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

$Z = \frac{9 - 7.2}{2.1}$

$Z = 0.86$

$Z = 0.86$ has a pvalue of 0.8051

X = 3

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

$Z = \frac{3 - 7.2}{2.1}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

4 0

2 years ago

Use the change of variables s=x+3y, t=y to find the area of the ellipse x2+6xy+10y2≤1.

MArishka [77]

$t=y\implies s=x+3t\implies x=s-3t$

Then

$x^2+6xy+10y^2=(s-3t)^2+6(s-3t)t+10t^2=s^2+t^2\le1$

which is a disk of radius 1, hence with area $\pi$ .

5 0

2 years ago

Can you please tell me the answer

KiRa [710]

Can you show the whole question?

8 0

2 years ago

Rewrite the following without an exponent

Leokris [45]

125/27 , or 4 & 25/27 , or 4.62963

7 0

2 years ago

How many times would you expect to role a 2 on a 6 sided die in 50 trials

Keith_Richards [23]

The six sided die has 6 sides (with numbers 1,2,3,4,5 and 6). That's why the probability to roll number 2 in one trial is equal to $\frac{1}{6}$ .If you'll dol 50 trials, then you can expect $\frac{50}{6}= \frac{25}{3}$ times to roll number 2 (8 or 9 times).

3 0

2 years ago