help plzzzz!!!!!!!!!​

Answer:

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

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.

Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound

This means that [tex]\mu = 1, \sigma = 0.2[/tex]

Sample of 49:

This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]

What is the probability that the amount dispensed per box will have to be increased?

This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]

[tex]Z = -2.19[/tex]

[tex]Z = -2.19[/tex] has a pvalue of 0.0143

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

Answer: y=3x

Step-by-step explanation:

2x3=6

3x3=9

5x5=15

6x3=18

Answer: Hey there !! The answer is 2.

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

The absolute mean deviation is 2.

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

We have,

10, 9, 3, 8, 10

We first find the mean of 10, 9, 3, 8, 10

Mean = (10 + 9 + 3 + 8 + 10) / 5

Mean = 40 /5 = 8

Data sets

10            | 10 - 8 |     2

9              | 9 - 8 |      1

3              | 3 - 8 |      5

8              | 8 - 8 |      0

10             | 10 - 8 |    2

Mean absolute deviation

= (2 + 1 + 5 + 0 + 2) / 5

= 10 / 5

= 2

Thus the absolute mean deviation is 2.

Learn more about absolute mean deviation here:

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Answer:

The median is 6.5

Step-by-step explanation:

To find the median, first organize the numbers from least to greatest:

1, 4, 6, 6, 7, 8, 9, 10

The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.

To solve for this, we have to find the average of the numbers.

Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).

(6 + 7)/2

13/2

6.5

Answer: y=5x

Step-by-step explanation: Slope= 10/2=5 Plugged it in equation y=mx+b and solved for b to get b=0

Answer:

im pretty sure its A

Step-by-step explanation:

Answer:

1st and 3rd im pretty sure

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 times 3 is equal to nine

Have a good day!

Answer:

3

Step-by-step explanation:

This is the answer.:)

The factors of 9 are : 1, 3, 9.

Answer:

yeah my boy i think your right

Step-by-step explanation:

Answer:

5283.143 cm^2

Step-by-step explanation:

Area =πr^2

22/7*41*41

=5283.143cm^2

Answer:

the correct answer is b) 4

Answer:

a=29×36

Step-by-step explanation:

just do 29×36 to get your answer

The frequency data table is missing, so i have attached it.

Answer:

0.5

Step-by-step explanation:

We want to find conditional relative frequency and conditional relative frequency is used to compare the frequency count to the marginal total that represents the particular condition we are dealing with.

In this case, the condition is the popular vote of the state being won by the Democrat in 2012, given that the same popular vote was won by the Democrat in 1976.

In the frequency data table attached, we see that the joint frequency count for Democrat winning in 1976 and 2012 is given as 12.

While the corresponding marginal frequency total is given as 24.

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976:

Thus;

Conditional relative frequency = joint frequency count/marginal frequency total = 12/24 = 0.5

The conditional relative frequency of a state's popular vote being won by the Democrat in 2012, given that it was won by the Democrat in 1976 is 0.5.

Learn more :

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Answer:

X=0,1

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical

Answer: b then!

Step-by-step explanation:

Answer:

Sum is 4/8

Difference is 2/8

Step-by-step explanation:

Sum is adding so add the numerators and denominators would be the same

Difference is subtraction

Answer:

H=6 sin 30=3cm

Step-by-step explanation:

3²+x²=6²

X²=36-9

√x²= 27

X=5.1962

Per=6+5.1962+3= 15.1962cm

Answer:

x = 21

Step-by-step explanation:

Based on the inscribed angle theorem, we would have:

120° = 2(3x - 3)°

Solve for x

120 = 2*3x - 2*3

120 = 6x - 6

Add 6 to both sides

120 + 6 = 6x

126 = 6x

Divide both sides by 6

126/6 = x

21 = x

x = 21

Answer:

1)

mean - 5

median - 5

mode - 6

range - 7

2)

mean - 444

median - 453

mode - 345

range - 198

3)

mean - 6

median - 6

mode - 8

range - 7

4)

mean - 10

median - 9

mode - 9

range - 17

5)

mean - 5

median - 4

mode - 3

range - 7

6)

mean - 143

median - 148

mode - 157

range - 33

12) 9

13) 10

14) 10, 5

15)

If the price of swimming lessons went up to mean and mode would change.

mean - 9.66666667 (9.6 repeating)

median - 10

mode - 10

range - 13

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

Answer:

I think 1

Step-by-step explanation:

If I'm wrong I'm sorry I haven't done this since middle school

Answer:

22,4000 answer i tinking

Answer:

i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25

Step-by-step explanation:

if it doesn't i'm sorry for waisting ur time-

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:

Answer:

51 words

Step-by-step explanation:

20words=35 seconds

? =90 seconds

Cross multiplication to get

(90×20)/35

1800/35

51.42

Meaning he can type 51 words in 90 seconds

Answer:

he can type about 51 words in 90 seconds because

use proportion

7x = 360

x = 51 3/7

x is about 51

Step-by-step explanation:

Answer:

131.88 inches

Step-by-step explanation:

Circumfrnce formula is diameter * π

Answer:

3002

Step-by-step explanation:

Very simple, just add them up.

The answer for the following question is option A.