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2 years ago

13

Regina has just opened her new yarn shop. She makes $4.00 on every skein of yarn sold and her monthly expenses are $3,800. Which

equation can be used to model the number of skeins of yarn (y) she needs to sell in a month in order to make a profit (P)?

1 answer:

MAXImum [283]2 years ago

6 0

Answer:

31 is prime. and it’s prime factorization is just 31....

Step-by-step explanation:

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Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

3 years ago

When 12 is added to a number the result is 32 less than 3 times the number.

sdas [7]

Let the number = x

12 + x = 3x - 32

x = 3x - 44 Subtract 12 from both sides

-2x = -44 Subtract 3x from both sides

x = 22 Divide by -2

4 0

3 years ago

Read 2 more answers

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 30 km/h. How fast is

Marrrta [24]

Answer:

150 km/h

Step-by-step explanation:

because it's then 2 together

4 0

3 years ago

What is the prefix in regroup? what dose it mean?

kupik [55]

The prefix in the word "regroup" is "re" and it means "again". Separate the words like this (re)read to find the "prefix"

Just think when your teacher ask you to reread the book or the problem.It should come to mind as "Read again"

Good Luck!

3 0

3 years ago

Sue took a test in both biology and math last week. The biology test had a mean of 70 and a standard deviation of 7 whereas the

Anna [14]

Answer:

c. the biology test

Step-by-step explanation:

To answer this problem we need to calculate the z-score of both tests, using the formula:

z = (x - μ) / σ

Where x is Sue's score, μ is the mean, and σ is the standard deviation.

For the <u>biology test</u>, the z-score is:

z = (76 - 70) / 7 = 6/7 = 0.857

For the <u>math test</u>, the z-score is:

z = (76 - 75) / 10 = 1/10 = 0.100

Because the z-score for the biology test is greater than the z-score for the math test, Sue did better in the biology test, in comparison to the rest of the class.

6 0

3 years ago