What is 2/3 multiplied by 4?

Answers

Answer 1
Answer: 2/3 Multiplied by 4 would be 8/3 because 2 • 4 = 8

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Cindy needs to order 150 invitations which are sold in packs of 20. How many packs does Cindy need to buy?A) 6
B) 7
C) 8
D) 9

Answers

The question is an illustration of divisions.

Cindy needs to buy (c) 8 packs

The given parameters are:

\mathbf{Invitation = 150}

\mathbf{Pack = 20}

The number of packs is calculated by dividing the total number of invitation by the number of invitations in each pack.

So, we have:

\mathbf{n = (Invitation)/(Pack)}

\mathbf{n = (150)/(20)}

\mathbf{n = 7.5}

Cindy needs 7.5 packs.

Since the packs cannot be split, Cindy must buy the closest number of packs greater than 7.5

So, we have:

\mathbf{n = 8}

Hence, Cindy needs to buy (c) 8 packs

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the answer is 8 because:
you need 5 packs of 20 to get to 100 and then you still need 50 more so you have to get three more packs to make it to 150 and then you have some invitations left over but thats okay.

Solve for y: 6+1/3y=10+12x

Answers

The expression can be written as in terms of x after making the subject as y the expression is y = 36x + 12.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

6 + 1/3y = 10 + 12x

To solve the above expression in terms of x make the subject y

Subtract 6 on both sides:

1/3y = 10 + 12x - 6

1/3y = 12x + 4

y = 36x + 12

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Thus, the expression can be written as in terms of x after making the subject as y the expression is y = 36x + 12.

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1/3y = 10 + 12x - 6
1/3y = 4 + 12x
y = 36x + 12

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are greater than 9.94? Please do not round your answer.

Answers

Answer:

The percentage of the women have size shoes that are greater than

9.94 is 16%

Step-by-step explanation:

* Lets revise the empirical rule

- The Empirical Rule states that almost all data lies within 3  standard

  deviations of the mean for a normal distribution.  

- 68% of the data falls within one standard deviation.  

- 95% of the data lies within two standard deviations.  

- 99.7% of the data lies Within three standard deviations  

* The empirical rule shows that

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* Lets solve the problem

- The shoe sizes of American women have a bell-shaped distribution

  with a mean of 8.42 and a standard deviation of 1.52

∴ μ = 8.42

- The standard deviation is 1.52

∴ σ = 1.52

- One standard deviation (µ ± σ):

∵ (8.42 - 1.52) = 6.9

∵ (8.42 + 1.52) = 9.94

- Two standard deviations (µ ± 2σ):

∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38

∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46

- Three standard deviations (µ ± 3σ):  

∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86

∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98

- We need to find the percent of American women have shoe sizes

  that are greater than 9.94

∵ The empirical rule shows that 68% of the distribution lies  

  within one standard deviation in this case, from 6.9 to 9.94

∵ We need the percentage of greater than 9.94

- That means we need the area under the cure which represents more

  than one standard deviation (more than 68%)

∵ The total area of the curve is 100% and the area within one standard

  deviation is 68%

∴ The area greater than one standard deviation = (100 - 68)/2 = 16

The percentage of the women have size shoes that are greater

   than 9.94 is 16%

Final answer:

Less than 5% of American women have shoe sizes greater than 9.94.

Explanation:

The empirical rule states that for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations of the mean, and more than 99% falls within three standard deviations of the mean.

In this case, the mean shoe size for American women is 8.42 and the standard deviation is 1.52. To calculate the percentage of American women with shoe sizes greater than 9.94, we need to find the proportion of the data that falls above this value.

First, we calculate the number of standard deviations that 9.94 is away from the mean: (9.94 - 8.42) / 1.52 = 0.9895 standard deviations.

Based on the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since 9.94 is less than two standard deviations away from the mean, we can estimate that less than 5% of American women have shoe sizes greater than 9.94. Therefore, the percentage of American women with shoe sizes greater than 9.94 is less than 5%.

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A picture frame (rectangle) has a length of 8.5 inches and a perimeter of 38 inches. How would you find the width of a picture frame. (Use words). And what is the width, show your work?

Answers

The answer is 10.5 inches for width

First you can add 8.5 + 8.5 = 17 because the opposite side of the 8.5 is also 8.5.

After You have to divide subtract 17 from 38 which equals 21. Then you divide by 2 which equals 10.5.

For perimeter you need to add all the sides so we add 8.5 + 8.5 + 10.5 + 10.5.

Find a rational number between -1/4 and 2/5

Answers

Answer:

s =(3)/(40)

Step-by-step explanation:

Let find the middle point between both rationals. That is to say:

s = (-(1)/(4)+(2)/(5) )/(2)

s = ((-5+8)/(20) )/(2)

s =(3)/(40)

Which measure is less than 435 inches?A 37 ft
B 36 ft 10
C 12 yd 3 in.
D 12 ft 3 in.

Answers

435 inches = 36 1/4 ft.

So, the answer would be D) 12 ft. 3 in.

*Hope I helped :)*