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just olya [345]
3 years ago
13

The area of a rectangle is x^2 - 6x - 7 with a width of x - 7. What is the lenght?

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

{x}^{2} - 6x - 7 = (x - 7)(x + 1) \\

width = (x - 7)

So

length = (x  + 1)

Just it...

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

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

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Base area:12.5m^2;height:1.2m
lilavasa [31]
? Ummm What is the question???
8 0
3 years ago
The measures of interior angle of a convex pentagon are in ratio 1:2:3:4:5. Find the measures of each angle
vovangra [49]

Answer:

The angles have measurements 36, 72, 108, 144, and 180.

Step-by-step explanation:

Pentagon has 5 sides and 5 angles.

The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.

3(180)=540 which is the sum of the angles in a pentagon.

So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.

We have the equation 1x+2x+3x+4x+5x=540 to solve.

15x=540

Divide 15 on both sides:

x=540/15

x=36

1x=36

2x=72

3x=108

4x=144

5x=180

The angles have measurements 36, 72, 108, 144, and 180.

3 0
3 years ago
How many solutions does the following equation have |6×+12|=-18
Luba_88 [7]
This equation has no solution.

Reason: 
The absolute valued function, which is represented by straight bars, returns only positive values.
For example | - 5 | = 5
A negative result cannot be obtained from an absolute valued function. Since the given equation makes the absolute valued function equal to a negative value, which is not possible, so the equation has no solution or root. 
7 0
3 years ago
A math book at the Victor Valley College bookstore originally cost $84 to purchase. If they sell it for $126, what is the markup
jeka57 [31]
The answer is 150%
Equation: 126/84= 1.5• 100= 150%
5 0
2 years ago
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