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Shkiper50 [21]
3 years ago
8

A.1 B. 2/3 C.5/6 D.1/3

Mathematics
2 answers:
RideAnS [48]3 years ago
8 0

Answer:

B

Step-by-step explanation:

There are 6 values on the faces of a standard number cube, that is

1, 2, 3, 4, 5, 6

There are 4 values > 2, that is 3, 4, 5, 6

P( number > 2 ) = \frac{4}{6} = \frac{2}{3} → B

Elodia [21]3 years ago
5 0

Answer:

B. 2/3

Step-by-step explanation:

A standard cube has 6 sides, numbered 1 - 6. You are finding the probability (<em>P</em>) of getting a number greater than 2. Note that it says "greater than" not "greater and equal", so you do not count 2 inside the answer.

3, 4, 5, 6, are all greater than 2, and are 4 of the 6 numbers provided. Simplify the fraction:

(4/6)/(2/2) = 2/3

B. 2/3 is your answer.

~

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The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30
o-na [289]

Answer:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

\bar X represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

\sigma_o =\sqrt{0.027}=0.164 the value that we want to test

p_v represent the p value for the test

t represent the statistic

\alpha= significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: \sigma \leq 0.027

H1: \sigma >0.027

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(30-1) [\frac{0.2}{0.164}]^2 =42.963

What is the approximate p-value of the test?

The degrees of freedom are given by:

df=n-1= 30-1=29

For this case since we have a right tailed test the p value is given by:

p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459

And the best option would be:

b. between .025 and .05

6 0
3 years ago
HELP!!! i am stuck here
irina1246 [14]

Answer:

<em>2.5 hours</em>

<u>Skills needed: Speed, distance, time problems</u>

Step-by-step explanation:

1) We are given speed and distance, and have to find out the the time (in hours).

- In terms of units, everything is matched up (Since distance and speed use kilometers, and speed and time use hours).

- Time is always the distance you travelled (how far) divided by how fast you travelled (the rate/speed)

---> We can use the formula for time: t=\frac{d}r

t= time

d=distance

r=rate/speed

2) Now, let's plug in for distance and rate.

---> t=\frac{7.5}{3} = 2.5

2.5 hours is the answer.

4 0
2 years ago
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