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inn [45]
3 years ago
5

The midpoint of (1,4) and (-7,10)

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer:

i’m pretty sure the answer is y=3/4x-13/4

Step-by-step explanation:

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The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are
WITCHER [35]

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

7 0
3 years ago
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal
Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The other parameters are given as follows:

\overline{x} = 111000, \sigma = 36730, n = 36

Hence, the lower bound of the interval is:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002

The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
20x+3=17 help please
jeyben [28]
The objective is to get the variable (x) alone. To do this start be subtracting 3. What you do to one side you have to do to the other so you have to subtract three from the other side of the equal sign as well. So now you have:
20x= 17-3 subtract the 3 to get 20x=14
Now because the 20 is attached to the x In order to get the x alone you have to divide by 20:
20x/20. =14/20 divide 14 by 20

X=.7 or x=7/10
5 0
3 years ago
Read 2 more answers
This question is from set can anyone answer me !​
Virty [35]

Answer:

n (aub)= n (a)+ n(b)

n (anb) = n (a)-n (b)

only a= n(a)+n(b) -(aub)

n only b= n (a)+n (b)-n (anb)

now solve your self because this formula help to solve

3 0
3 years ago
1. Are the distances of 220 feet and 126 feet the radii, diameters, or circumferences of the two circles? Explain.
serious [3.7K]

Answer:

it is very lengthy question :))))(

7 0
3 years ago
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