4(x + 1) + 8 = 24
how do i solve this

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:

1st and 3rd im pretty sure

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:

5283.143 cm^2

Step-by-step explanation:

Area =πr^2

22/7*41*41

=5283.143cm^2

Answer:

Area: 272ft²

Volume = 82.6236447189ft³

Step-by-step explanation:

AREA

The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:

Area of base = area of square = L² = 8² = 16ft²

Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²

There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²

VOLUME

The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.

We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:

A²=B²+C²

16²=(8/2)²+h²

256=16+h²

h=√240

h=15.4919333848ft

Knowing h, we can find the volume:

Volume = (a²)(h/3)

Volume = (8²)(15.4919333848/3)

Volume = (16)(5.16397779493)

Volume = 82.6236447189ft³

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: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).

option (A) and (D) are correct.

It is given that height of 50 feet and graph is given.

It is to find f(x).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph shows that A = π/4.

B = 10, so the period = 2π/10 = π/5.

sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.

So, the option are (A) and (D).

Learn more about graph here:

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Answer:

six hundred sixteen thousand eight hundred forty five

Step-by-step explanation:

Answer: Six hundred sixteen thousand eight hundred fourty five

!!TIP: To write numbers in letters, its spelled the same as the letters would have been said for example 66 - sixty six.

Answer: y=3x

Step-by-step explanation:

2x3=6

3x3=9

5x5=15

6x3=18

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:

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:

X=0,1

Step-by-step explanation:

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

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:

the correct answer is b) 4

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:

$22.50

Step-by-step explanation:

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:

sorry i didn't not answer

The answer for the following question is option A.

Answer:

a=29×36

Step-by-step explanation:

just do 29×36 to get your answer

Answer:

im pretty sure its A

Step-by-step explanation:

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:

Area = [tex]x^{2} +2x+2[/tex]

Perimeter = [tex]4x+1[/tex]

Step-by-step explanation:

So the shape is made up of one [tex]x^{2}[/tex], two xs and two 1s

add that together you get [tex]x^{2} +2x+2[/tex]

Starting at the top left you have a side length of 1. Then it goes down 1 before an x. Then you have up 1 and over 1, which is 2. Going down the right side you have a 1 and an x. Then the bottom is 1, x, and 1. You go up another x and then 1 to meet back where you started.

In total that is [tex]4x+1[/tex]

Answer:

3002

Step-by-step explanation:

Very simple, just add them up.

Answer: b then!

Step-by-step explanation:

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.

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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