Solve for x.
4x + 6
4x + 6
x = [?]
Entor

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:

10

Step-by-step explanation:

Answer:

-4/5 and 7/15

Step-by-step explanation:

the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15

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hope it helps

Answer:

x^2+7x +49/4 and (x+7/2)^2

x^2+bx +b²/4 and  (x+b/2)^2

Step-by-step explanation:

Given the expression

x^2+7x+c

We need to find the constant that completes the expression

Take the half of the cpeffiecient of x = 7/2

Taking the square of the result

Square of the result  = (7/2)^2

Hence c = (7/2)^2

The expression becomes;

x^2 + 7x + (7/2)^2

= x^2+7x +49/4

= (x+7/2)^2

For x^2+bx+d

We need to find the constant that completes the expression

Take the half of the cpeffiecient of x = b/2

Taking the square of the result

Square of the result  = (b/2)^2

Hence d = (b/2)^2

The expression becomes;

x^2 + bx + (b/2)^2

= x^2+bx +b²/4

= (x+b/2)^2

Answer:

98

Step-by-step explanation:

200/300 x 147= 98

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:

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

Answer:

1

Step-by-step explanation:

Answer:

see below :)

Step-by-step explanation:

answer: 1

the equation would be written like so: 5n+6=11

5(1) = 5

5+6 = 11

n=1

Answer:

3,800x(14)

Step-by-step explanation:

Answer: 3x-27

Step-by-step explanation:

Answer:

3x-21

Step-by-step explanation:

3(x-9)+6

3x-27+6

3x-21

Answer:

5.6 yards

Step-by-step explanation:

1/3 of 17 is 5.6

Answer: He used 5.66666667 yards of fabric! Yw! :)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The vertex is the extreme point of the curve. It lies on the vertical line that is the axis of symmetry.

The x-intercepts are where the graph crosses the x-axis. (They are symmetrically located about the axis of symmetry.)

The y-intercept is where the graph crosses the y-axis.

Answer:

the answer is in the photo

Step-by-step explanation:

I hoped I helped:)

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:

90

Step-by-step explanation:

20-13=7

so i think the answer would be m 13-20?

Answer:

Length: 25

Width: 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

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:

The answer is C

Step-by-step explanation:

The values for the first part is..25 like choc...25 do not like choc..25 for the 3rd and yes..25 for 4th

Part b...zero percent..every 1 liked on or the other

Part c..it's equal for like choc..and same like cheese..

Answer:

150.72

Step-by-step explanation:

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