PLEASE HELP I NEED TO FINISH

Answer:

B. Approximately 0.3159

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.

This means that [tex]\mu = 1, \sigma = 0.1[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]

If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?

This is the pvalue of Z when X = 0.97. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]

[tex]Z = -0.9[/tex]

[tex]Z = -0.9[/tex] has a pvalue of 0.1841.

The correct answer is given by option B.

Answer:

Option C

Step-by-step explanation:

Given  

Probability of Mean value less than 0.97  

= Mean value -1/(0.1/sqrt (9))

Substituting the given values, we get -

Probability of Mean value less than 0.97  

= 0.97 -1/(0.1/sqrt (9))

= 0.97-1/(0.1/3)

= 0.1841

Hence, option C is correct

Answer:

True

Step-by-step explanation:

it makes sense

~Plz tap the crown~

~Thank you~

Answer:

depending on what sample it is.

THE CORRECT ANSWER is 25 Cm³

Explanation:

Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.

Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³

Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.

Hence the volume of that block will be = 3×3×1 = 9 cm²

The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³

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The required equation model for the condition of the number of lightbulbs in p packages is given as n = 24p.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
So according to the question,
n = 24p

Thus, the required equation model the given equation is given as n = 24p.

Learn more about models here:
https://brainly.com/question/22591166
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Answer:

The measure of angle a is of 140º.

Step-by-step explanation:

Supplementary angles:

If two angles are supplementary, their measures add to 180º.

Angle a and angle b are supplemetary angles.

This means that

<a + <b = 180º.

m angle a = (5x+25) and m angle b = (x+17)

So

[tex]5x + 25 + x + 17 = 180[/tex]

[tex]6x + 42 = 180[/tex]

[tex]6x = 138[/tex]

[tex]x = \frac{138}{6}[/tex]

[tex]x = 23[/tex]

Measure of angle a:

[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]

The measure of angle a is of 140º.

Answer:

the answer is simple B 10/81

Step-by-step explanation:

Answer:

The Guy/Girl Above me was correct! its B.

Step-by-step explanation:

Answer:

Length  =  5.3852

Answer:

√29

Step-by-step explanation:

The change in x from one point to the other is 2; that in y is 5.

Use the Pythagorean Theorem to find the length of the hypotenuse (which is the desired distance):

d = √(2² + 5²) = √29

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

Answer:

If he is making 6 batches, multiply 3/4 by 6 to find out how much flour he uses.

Step-by-step explanation:

3/4 x 6 = 18/4 = 4 1/2 cups of flour.

Answer: its a

Step-by-step explanation: look at the bar graph you have to really look at it and be the graph

Answer:

None of the following are true. I don't know what you are supposed to answer.

Hope that this helps!

Step-by-step explanation:

I believe that the manatee can swim 5 miles per hour

Answer:

the answer is 8

Step-by-step explanation:

Answer:

125.6

Step-by-step explanation:

C=2pir

C=2(3.14)(20)=125.6

Answer:

a. x=7  b. x= 4.5   c. c= 3

Step-by-step explanation:

a. 5x=35

   5x/5=35/5

     x = 7

b. 4x=18

    4x/4=18/4

     x=4.5

c. 6c-2c=12

   4c = 12

   4c/4 = 12/4

     c=3

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

[tex]y = {x}^{2} [/tex]

Substitute the values of x to find y. Example:

[tex]when \: x = - 1 \\ y = { - 1}^{2} \\ y = 1 [/tex]

So do that for the other values of x.

Answer:

10

Step-by-step explanation:

By Pythagoras' Theorem:

16 + r = √(24^2 + r^2)

(16 + r)^2 = 24^2 + r^2

256 + 32r + r^2 = 576 + r^2

32r = 320

r = 10

Answer: -12

it should be the right answer.

Answer:

144 i think

Step-by-step explanation:

Answer:

-8x + 18

Step-by-step explanation:

simplified is -8x + 18

[tex]-8x + 18[/tex]

that is the answer

Answer:

It is false

Step-by-step explanation:

Answer:

There is no product but the equation is false

Step-by-step explanation:

If you meant 3.242 x 2.12 it is = 6.87304