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Yuri [45]
2 years ago
11

Sterling makes trail mix by mixing 2 parts peanuts with 3 parts chocolate candy. Sterling has an unlimited supply of peanuts in

the pantry, but only 18 cups of chocolate candy. How many cups of trail mix can he make?
Mathematics
1 answer:
rodikova [14]2 years ago
6 0

Answer:

The answer is 5.

Since he has 3 part chocolate all he has 18 cups left. You can keep adding 3 till you get 18 and how many ever groups you have with 3 (which is 5 groups) is the 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
Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the sq
lara31 [8.8K]

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

4 0
3 years ago
Read 2 more answers
One hundred 50 cent coins have a mass of 690g. What is the mass of one 50 cent coin?
olga nikolaevna [1]
You divide 690 by 100 which is 6.9
Therefore, one 50cent coin is 6.9g
7 0
3 years ago
Read 2 more answers
Mhmhmhmhmhmhmhmhmhmhmhmh
yarga [219]

Answer:

3.59

Step-by-step explanation:

-×-=+

-2.31+5.9

=3.59

please like and Mark as brainliest

5 0
3 years ago
Tam multiplied 2.13 and 4.62, as shown. But he forgot to put a decimal point in his
yuradex [85]
The decimal gives after the 9. There are four places behind the decimal between the two numbers being multiplied so there have to be 4 places behind the decimal in your answer.
8 0
2 years ago
Read 2 more answers
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