When asked to factor the trinomial , a student gives the answer (x – 7)(x + 7). Which of the following statements is true?

The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16

dusya [7]

Answer:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

$n_1 = 16$ represent the sampe size 1

$n_2 =16$ represent the sample 2

$s^2_1 = 2.5$ represent the sample deviation for 1

$s^2_2 = 5.5$ represent the sample variance for 2

$\alpha=0.10$ represent the significance level provided

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}$

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: $\sigma^2_1 = \sigma^2_2$

H1: $\sigma^2_1 \neq \sigma^2_2$

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

5 0

3 years ago

ANSWER ASAP GIVING BRAINLIEST AND STUFF!

AURORKA [14]

Answer:

You could make a proportion, and divide or subtract the colors you like the least. Then, take the ones that you like the least away and put them in a separate place away from the others. For example: You have five colors, right? Ok, lets say your colors are blue, charcoal gray, yellow, green, and lilac.

Lets say your favorites are charcoal gray, lilac, and blue. (3/5)

So you put yellow and green to the side (2/5)

For example: You have 6 wallpaper patterns, right? Lets say your patters are flowers, dots, lines, stars, circles, and zigzags.

Lets say your favorites are flowers and stars. (2/6 or 1/3)

So you put dots, lines, circles, and zigzags to the side. (4/6 or 2/3)

Now, I want you to narrow your favorites down to what you favor more out of them. Now you have 3 paint colors, right? Your colors are charcoal gray, blue, and lilac. You need to narrow it down to 1 favorite. Lets say you choose the the lilac best.

Now you have 2 patterns, right? Your patterns are flowers and stars. You need to narrow it down to your favorite pattern. Lets say you choose the stars.

So, you will paint your wall lilac with the pattern of stars.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv

Elden [556K]

If the amount of money you invested in the first fund is x and the second fund y, then 9% (or 0.09 by moving the decimal 2 spots)*x+0.03*y=1047 since the first fund paid 9% and the second 3%. In addition, for this year, we get
0.1*x+0.01*y=811.
We also have 0.09*x+0.03*y=1047, so we can multiply the top equation by -3 and add it to the second to get -0.21x=-1386. Dividing both sides by -0.21, we get x=6600. In addition, since 0.1*x+0.01*y=811, we can plug 6600 in for x to get 660+0.01*y=811 and by subtracting 660 from both sides we get 0.01*y=151. Multiplying both sides by 100 (since 0.01*100=1), we get y=15100

6 0

3 years ago

Given f(x)=8x+13 and g(x)=x^2-5x, find (f-g)x

uysha [10]

(f-g)x= -x²+13x+13

Hope it helps you....