The question is in the picture same with the answer choices.

Answer:

268.2 cm³

Step-by-step explanation:

Volume of sphere= 4/3 π r³

→ [tex]4/3*22/7*4*4*4[/tex]

→ [tex]256*22/21[/tex]

→ [tex]5632/21=[/tex]

→ [tex]268.19 cm^3[/tex]

→ [tex]268.2 cm^3[/tex]

[tex]------------[/tex]

hope it helps...

have a great day!!

Answer:

268.2 cm³ is your answer

Step-by-step explanation:

48, 52, 57, 61, 64, 72, 76, 77, 81, 85, 88

the middle number is 72

Answer:

the answer is in the photo

Step-by-step explanation:

I hoped I helped:)

Answer:

C. 80

Step-by-step explanation:

m angle 1 = ½×(105+55)= ½× 160= 80°

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

Step-by-step explanation:

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.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that [tex]\mu = 54.3, \sigma = 14.5[/tex]

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

[tex]Z = \frac{10 - 54.3}{14.5}[/tex]

[tex]Z = -3.06[/tex]

[tex]Z = -3.06[/tex] has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

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

[tex]Z = \frac{60 - 54.3}{14.5}[/tex]

[tex]Z = 0.39[/tex]

[tex]Z = 0.39[/tex] has a pvalue of 0.6517

X = 35

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

[tex]Z = \frac{35 - 54.3}{14.5}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

[tex]Z = \frac{95 - 54.3}{14.5}[/tex]

[tex]Z = 2.81[/tex]

[tex]Z = 2.81[/tex] has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

(1.) 0.11% of Americans annual salad and cooking oil consumption is less than 10 pounds.

(2) 55.99% of Americans annual salad and cooking oil consumption is between 35 and 60.

(3).0.25% Americans annual salad and cooking oil consumption is more than 95 pounds.

Given, the average american consumed 54.3 pounds of salad and cooking oils in 2008.

the mean of salad and cooking oil consumption is approximately 54.3 pounds and a standard deviation of 14.5 pounds.

The formula for calculating a z-score is,

[tex]z = \dfrac{(X-\mu)}{\sigma}[/tex]

where [tex]X[/tex] is the raw score, μ is the population mean, and σ is the population standard deviation.

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average.

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.

1. percentage of Americans annual salad and cooking oil consumption is less than 10 pounds.

Here X=10

[tex]z=\dfrac{10-54.3}{14.5}[/tex]

[tex]z=-3.06[/tex]

Since [tex]z=-3.06[/tex] has a p value of 0.0011,so

[tex]0.0011\times100\%=0.11\%[/tex]

2.percentage of Americans' annual salad and cooking oil consumption is between 35 and 60.

the proportion is the value of Z when X = 60 subtracted by the p value of Z when X = 35.

At X=60,

[tex]z=\dfrac{60-54.3}{14.5}[/tex]

[tex]z=0.39[/tex]

0.39 has a p value of 0.6517.

At X=60,

[tex]z=\dfrac{35-54.3}{14.5} \\[/tex]

[tex]z=-1.33[/tex]

-1.33 has a p value of 0.0918.

Now,[tex]0.6517 - 0.0918 = 0.5599[/tex]  

[tex]0.5599\times100\% = 55.99\%[/tex]

3. percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds.

Here, The proportion is 1 subtracted by the p value of Z when X = 95.

[tex]z=\dfrac{95-54.3}{14.5}[/tex]

[tex]z=2.81[/tex]

[tex]z=2.81[/tex] has a p value of 0.9975.

So, [tex]1 - 0.9975 = 0.0025[/tex].

Now, [tex]0.0025\times100\% = 0.25\%[/tex].

Hence the correct percentage is 0.11%,55.99% and 0.25% respectively.

For more details follow the link:

https://brainly.com/question/6096474

Answer:

1130.4

Step-by-step explanation:

The volume of a cylinder is πr^2h, where r is the radius and h is the height.

We are given the height, 10m.

The diameter is 2m more than the height, so 2+10=12m.

The radius is half the diameter, so 12m/2=6m.

Use r=6 and h=10 in the formula to get the volume

π6^2*10≈1130.4

Answer:

150.72

Step-by-step explanation:

3² × 3.14 × 6 - 1² × 3.14 × 6 = (3² - 1²) × 3.14 × 6 = 150.72

Answer:

2145 ft^3

Step-by-step explanation:

Answer:

Im not a 100% sure but my best guess would be the 3rd equation:

f(x) = (x - 1) (x + 3)

Please let me know if I was wrong, but i hope this helped you!

Answer:

Step-by-step explanation:

x + 15 = 60

=> x = 60 - 15

=> x = 45 (Ans)

Answer:

45

Step-by-step explanation:

x + 15 = 60

-15. -15

___. ____

x. = 45

Answer:

3 doors needed

Step-by-step explanation:

The computation of the no of trucks doors that are needed is shown below:

= serve daily ÷ no of store orders ÷ no of store orders

= 50 ÷ 4 ÷ 4

= 3 doors needed

First we divided the serve daily from the no of store orders and then the value that comes so it would be divided by no of store orders again so that the no of truck doors could come

Answer: Flipping a coin, or drawing a card suit (spades, hearts, clubs, or diamonds), either of those works.

Step-by-step explanation: A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.

Answer:

The answer is C, 18 hours.

Answer:

[tex]x=\ln{y}[/tex]

Step-by-step explanation:

The natural logarithm function is the inverse of the natural exponential function.  

[tex]\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}[/tex]

are equivalent.

Answer:

98

Step-by-step explanation:

200/300 x 147= 98

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean.

Step-by-step explanation:

Answer:

2 1/2

A.

Count the complete =2

The incomplete, a quarter + a quarter = half

Answer:

y=-5x+4

Step-by-step explanation:

The equation of the line is y=mx+b. We know what m is and what b is. Therefore, we can plug them into the equation. The line will be y=-5x+4. This is the equation of the line.

If this helps please mark as brainliest

Answer:

The first one is 5.075

The second one is 3.15

The third one is 5.875

The fourth one is 7.55

If this helped, I would appreciate it if you marked me brainliest! (°◡°♡).:｡

Answer:

2.03 x 2.5 = 5.075

1.4 x 2.25 = 3.15

2.35 x 2.5 = 5.875

3.02 x 2.5 = 7.55

Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

Answer:

b= 7

Step-by-step explanation: