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Sunny_sXe [5.5K]
3 years ago
6

5(2x − 8) = 90 thanks

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
5 0
5(2x-8)=90
10x-40=90
add 40 to both sides
10x=130
divide 130 by 10
and the answer Is x=13
Nataliya [291]3 years ago
3 0

<u><em>Answer: x=13</em></u>

Step-by-step explanation:

distributive property: a(b+c)=ab+ac

addition property of equality is adding the same number to both sides of an equation does not change the equation.

divide by 5 both sides of an equation.

5(2x-8)/5=90/5

simplify.

2x-8-18

add 8 both sides of an equation.

2z-8+8=18+8

simplify.

2x=26

divide by 2 both sides of an equation.

2x/2=26/2

simplify.

26/2=13

13*2=26

2*13=26

x=13

Hope this helps!

Thanks!

Have a great day!

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Answer:

-11 + 4

Step-by-step explanation:

When you subtract a negative the sign will  switch to plus, so it this case you would switch the - (-4) to a + 4 but you don't change the -11 at the front.

6 0
3 years ago
What is the volume of the cylinder?<br><br> Radius:3m<br><br> Height:17m
valentinak56 [21]

Answer:

480.66 m^3

Step-by-step explanation:

The formula for volume of a cylinder is πr^2h. when you input these values and solve for π you get π3^2(17) or approximately 480.66 m^3

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5 0
3 years ago
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statuscvo [17]

Number 1 is Rio Grande and number 2 is St. Lawrence River

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A washer and dryer cost $841 combined. The washer cost $59 less than the dryer. How much does the dryer cost?
konstantin123 [22]

Answer:

dryer cost = $450

Step-by-step explanation:

Given that:

washer + dryer = $841  ---- eq1

As washer costs $59 less than dryer So,

Dryer - $59 = washer

putting in eq1

Dryer + dryer - $59  = $841

2 dryers = $841 +$59

Dryer  = $900/2

Dryer = $450

So the cost of washer will be:

washer = dryer - $59

Washer = $450 - $59

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i hope it will help you!

7 0
3 years ago
Read 2 more answers
Confidence Interval Mistakes and Misunderstandings—Suppose that 500 randomly selected recent graduates of a university were as
kvv77 [185]

Answer:

The correct 95% confidence interval is (8.4, 8.8).

Step-by-step explanation:

The information provided is:

n=500\\\bar x=8.6\\\sigma=2.2

(a)

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The 95% confidence interval for the average satisfaction score is computed as:

8.6 ± 1.96 (2.2)

This confidence interval is incorrect.

Because the critical value is multiplied directly by the standard deviation.

The correct interval is:

8.6\pm 1.96 (\frac{2.2}{\sqrt{500}})=8.6\pm 0.20=(8.4,\ 8.6)

(b)

The (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true there is a 95% confidence that the true parameter value is contained in this interval.

The mistake is that the student concluded that the sample mean is contained in between the interval. This is incorrect because the population is predicted to be contained in the interval.

(c)

The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true mean satisfaction score is contained between 8.4 and 8.8 with probability 0.95 or 95%.

Thus, the students is not making any misinterpretation.

(d)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the sample size is,

<em>n </em>= 500 > 30

Thus, a Normal distribution can be applied to approximate the distribution of the alumni ratings.

7 0
3 years ago
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