Which pair of terms below correctly completes the following sentence?

Write a two column proof (or a flow proof. Whichever one works for you).

Norma-Jean [14]

Plugging into the Given Formula the value of y:

$7(6) = 8x - 14$

Multiply the left side:

$42 = 8x - 14$

Add 14 to both sides to get:

$56 = 8x$

Divide both sides by 8 and we get:

$7 = x$

Therefore, x=7 and the proof is complete

4 0

3 years ago

What is tan B enter your answer as a simplified fraction in the box

Tasya [4]

Answer:

7/24

Step-by-step explanation:

Tangent is opposite over adjacent. You know that the opposite leg is 14 but you don't know the adjacent.

To find the unknown leg, use Pythagorean theorem so that 50^2-14^2= leg. The length is 48.

14/48= tan B

7/24= tan B

4 0

2 years ago

2,930,000

ANEK [815]

Answer:

WHAT

?????????????????????

Step-by-step explanation:

6 0

2 years ago

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

2 years ago

HELP ME PLEASE

Goryan [66]

Answer:

Midpoint =1.5,1

radius 4.71699

C = 29.623

A =69.865

Step-by-step explanation:

To find the midpoint, add the endpoint coordinates together and divide by 2

M = (x1+x2)/2, (y1+y2)/2

= (-1+4)/2, (5+-3)/2

= 3/2 , 2/2

=1.5,1

Once we know the midpoint, we can find the radius from one endpoint to the midpoint

d = sqrt( (x2-x1)^2+ (y2-y1)^2)

sqrt( (1.5--1)^2+ (1-5)^2)

sqrt(( 1.5+1)^2 + (4)^2)

sqrt( 2.5^2 +16)

sqrt(6.25 +16)

sqrt(22.25)

4.71699

The circumference is given by

C = 2*pi*r

= 2* (3.14) * 4.717

= 29.623

The area of a circle is given by

A = pi r^2

= 3.14 * 4.717^2

=69.865

3 0

2 years ago

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