(its a practice question)​

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 403[/tex]

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

[tex]H_{a}: \mu \neq 403[/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.

Value of 403 tested at the null hypothesis:

This means that [tex]\mu = 403[/tex]

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]

Value of the test statistic:

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

[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]

[tex]z = 2.3[/tex]

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answer:

870.4 maybe???

Step-by-step explanation:

Answer:

16cm=200.96

12cm=113.04

Answer:

The temperature went up by 29 degrees.

Step-by-step explanation:

Since -24 is negative,

Add 5 to 24 = 29.

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)

Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Y = MX-B,

therefore Y = (6*4) - 15,

so Y = 24 - 15

Y = 9

The answer is:

[tex] \frac{14}{59} [/tex]Decimal form is 0.2372 is infinity

Explication:

7(2x +2 )= 73x (Remove the parentheses and sort out 7 and solve for each number that is in the parentheses)

14x+14=73x

14x=73-14

-59x=-14

Both sides are divided by -59 but the -59 / -59 is canceled

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

The slope of the line is 6.

Answer:

I think its the first and the third one

Step-by-step explanation:

lemme know if this helps :)

Answer:

Step-by-step explanation:

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Answer:

You seem to have not posted the whole problem

You did not seem to say the problem

But mabye 30

Answer:

n(M) = 4

Step-by-step explanation:

M = (2,4,6,8)

n(M) = Number of values in set M.

n(M) = 4

Answer:

use mathwy

Step-by-step explanation:

its better for a. expansion

Answer:

a - 50/100

b - 9/4

c - 27/8

Step-by-step explanation:

Scale: 50/100

Ratio: 36/16 = 18/8 = 9/4

Ratio: 216/64 = 108/32 = 54/16 = 27/8

Answer:

Up to 6 decimal places are supported for decimal-to-fraction conversion.

Step-by-step explanation:

Step-by-step explanation:

subtract the whole equation by 85 on both sides to get v by itself on the left side

85-85-v=213-85

-v=128

Now we divide the whole equation by negative 1

-1v/-1=128/-1

v=-128

Hope that helps :)

Answer:

$6.20

Step-by-step explanation:

5.75 * 2.40= 13.80

20-13.80= 6.20

$6.20

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5

Answer:

6x^2+7x−3

Step-by-step explanation:

(2x+3)(3x−1)

Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.

6x^2−2x+9x−3

Combine −2x and 9x to get 7x.

6x^2+7x−3

Graph if needed:

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer: Amira added 5 candy bars to the p pile of candy bars there were no more than 18 candy bars in the pile.

Step-by-step explanation: hope this helps

Answer:

65 minutes

Step-by-step explanation:

20+15=35

35+30=65

Answer:

17 degrees

Step-by-step explanation:

-23 + 6 = 17

Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

Answer:

x = 4

Step-by-step explanation:

x + x + 6 + 6 = x + 8 + 8

2x + 12 = x + 16

2x + 12 - 12 = x + 16 - 12

2x + 0 = x + 4

2x = x + 4

2x - x = x + 4 - x

2x - x = x - x + 4

x = 0x + 4

x = 0 + 4

x = 4

Chequando Respuesta :

x = 4

x + x + 6 + 6 = x + 8 + 8

(4) + (4) + 6 + 6 = (4) + 8 + 8

4 + 4 + 6 + 6 = 4 + 8 + 8

8 + 6 + 6 = 12 + 8

14 + 6 = 20

20 = 20

Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.

Answer:

One angle measures 178º, and the other measures 2º.

Step-by-step explanation:

Given that an angle measures 176 degrees more than the measure of its supplementary angle, to determine what is the measure of each angle, the following calculation must be performed, knowing that the sum between two complementary angles gives 180º:

(180 - 176) / 2 = X

4/2 = X

2 = X

180 - 2 = 178

Thus, one angle measures 178º, and the other measures 2º.