ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
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B
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Answer:

We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0}: \mu = 13[/tex]

The alternate hypotesis is:

[tex]H_{a}: \mu < 13[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

13 is tested at the null hypothesis:

This means that [tex]\mu = 13[/tex]

N(µ,0.42)

This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]

You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.

This means that [tex]n = 35, X = 12.8[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]

[tex]z = -2.82[/tex]

Pvalue of the test:

The pvalue of the test is the pvalue of z = -2.82.

Looking at the z table, z = -2.82 has a pvalue of 0.0024

0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Answer:

54 unit ^2

Step-by-step explanation:

Well a formula for a rectangle is a=lw

So 6*9=54

The area is 54

Answer:

Step-by-step explanation:

I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.

However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.

28x - 8

This equation can be factorised when divided by 2, into

2(14x - 4)

At the same time, it can be factorised when divided by 4, into

4(7x - 2)

Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.

Answer:

6 hours

Step-by-step explanation:

$51.00 ÷ $8.50 = 6 hours

hope this helps ! :))

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

Answer:

(1, -5)

Step-by-step explanation:

Solve the system by setting the equations equal to each other, and solving for x:

-7x + 2 = 9x - 14

2 = 16x - 14

16 = 16x

1 = x

So, the x coordinate of the solution will be 1.

Plug in 1 as x into one of the equations, and solve for y

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

So, the y coordinate is -5.

The ordered pair solution is (1, -5)

Answer:

Solution in photo

Answer:

48

Step-by-step explanation:

y + 3 = 14

y = 11

3(y + 5) = 3(11 + 5) = 3(16) = 48

Answer: 48

Answer:

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

Step-by-step explanation:

5Answer:

Step-by-step explanation:

sorry if this is wrong

Answer:

New Coordinates: G'(0,4) Y'(3,3) M(3,7)

Movement: Translation 3 units up

Step-by-step explanation:

Since you're adding to the y-coordinate, your points will move up which makes this a translation

Answer:

12 inches or 1 ft.

Step-by-step explanation:

Firstly, convert the 6 feet to inches.

(There are 12 inches in 1 foot)

So, 6 feet is 72 inches (6 * 12)

Now, you can subtract this total from the record, to find how much farther he needs to jump:

84 - 72 = How much further

84 - 72 = 12

Therefore, he needs to jump 12 inches further.

To place in feet form, then convert 12 inches to feet.

(There are 12 inches in a foot)

So, 12 inches is 1 foot

Answer:

1 foot or 12 inches.

Step-by-step explanation:

Since there are 12 incher in every foot, we divide 84 by 12, giving us a total of 7ft. He has to jump 1 foot, or 12 inches more, to beat the record.

Answer:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]

Explanation:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]

[Multiply the numerator and denominator by the common denominator so that both denominators are the same]

[Add the numerators together]

[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]

Answer:

144 ft. i just had this question on my test .

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

All angles in a triangle added up make 180° so you have to add 68° and 47° whih equals 115° and then simply subtract it from 180° so 180°-115°=65°

Answer:

288in

Step-by-step explanation:

48 times 2 is 96

96 plus 96 plus 48 plus 48 for all sides of the rectangle = the perimeter or border

Answer:

$15.50

Step-by-step explanation:

Answer:

1.45

Step-by-step explanation:

I don't really know if this is right

Answer:

1.0000995e+37

Step-by-step explanation:

Answer: Haha i'm so sorry but i don't know.

Step-by-step explanation: Have a great day!

Answer:

ahaha it's B my guy

Step-by-step explanation:

peace out

Answer:

4+ [tex]\frac{1}{2}[/tex]x = 3

Step-by-step explanation:

4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)

[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)

x = -2

Answer:

4+ 1/2 x = 3

Step-by-step explanation:

X =-2

Answer:a

Step-by-step explanation:

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

Answer:

[tex]60x + 86[/tex]

Step-by-step explanation:

Answer:

120 degree in a while and I am fan of the African American women who have served and are fight with you and I am fan of these days and then I will be there in a few days ago y I love u too

Step-by-step explanation:

fftt fight for you to be a good day at work and you are so cute and I am fan of these people are so cute and I am fan of these game and my name was on the phone with my mom is going to be a good day at add me on the phone with my mom is going to be a good day at work and you are so t I don't know what I said it will be there in a few days ago I got the job at the end of my favorite thing in life that is the best thing that I have to be a good day at work and you are so sweet to say that I have to go back to the for us to be a good day at work and I'm so excited about this one is it a Main St apt c u at work and you are not a bad mood today so I can do it for me to come back in my head and I am fan and I am fan on my is on the phone and it is not a type of settlement of the African American women who have participated and are you doing today I am so proud of u and I am fan on my is on the phone number and you can do it for me to come

9514 1404 393

Answer:

  (c)  9

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)² = x² +(2a)x +a²

You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...

  c = (6/2)² = 9

Answer:

9

Step-by-step explanation:

Answer/Step-by-step explanation:

3x(x-2)(2x2+1)-6(x+3

ANSWER:

-12x^3 - 21x^2 - 12x - 18

Answer:

y = -3

x = 1

Step-by-step explanation:

6x-4y=18

3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3

substitute for x:

6((-2y - 3)/3) - 4y = 18

2(-2y - 3) - 4y = 18

-4y - 6 - 4y = 18

-8y - 6 = 18

-8y = 24

y = -3

x = (-2(-3) -3)/3 = 1