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kati45 [8]
2 years ago
10

Solve for x.

Mathematics
1 answer:
777dan777 [17]2 years ago
3 0
1. x=4
6x-3x=12
3x=12
x=4

2. x=4
3x-5=x+3
3x=x+8
2x=8
x=4

3. x=20
1/2x+1/5x=14
7/10x=14
7x=140
x=20

4. x=2
2.5x+1.0x=7
3.5x=7
x=2
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Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the
ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 180, \sigma = 8

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 180}{8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 185

Z = \frac{X - \mu}{\sigma}

Z = \frac{185 - 180}{8}

Z = 0.63

Z = 0.63 has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

3 0
3 years ago
place the following steps in order to complete the square and solve the quadratic equation, x^2-6x+7=0
MatroZZZ [7]
We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square  Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3

the solutions are
x=√2+3
x=-√2+3



4 0
3 years ago
Enter the plan width for the rectangular room. Round your answer to the nearest tenth.
Jobisdone [24]

Answer:

350

Step-by-step explanation:

5x7x10=350

5 0
3 years ago
Find the range of the function<br> F(x) = (x-2)2 +2
viktelen [127]
(x - 2)^2 will always be positive and will have a minimum value of  0 

so f(x) will have minimum of 2

Range is [2,∞)
8 0
3 years ago
A. What is the volume, in cubic feet, of the box in the diagram?
Allisa [31]

Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

5 0
1 year ago
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