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vivado [14]
3 years ago
15

10x=4.1with simplify

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Solve 10x = 4.1 for x.  Divide both sides of this equation by 10:  x = 4.1 / 10.

x = 0.41

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Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If th
ioda

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that \mu = 69, \sigma = 2.8

What is the bottom cutoff heights to be eligible for this experiment?

The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

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

-1.037 = \frac{X - 69}{2.8}

X - 69 = -1.037*2.8

X = 66.1

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

8 0
3 years ago
Which statements are true about the place values in the number 99.999?
dalvyx [7]

A and B are correct... reason is because hundredths is 1/10 to tenths and tenths are 10 times bigger than hundredths. C and D are wrong.

Hope this helped!

Nate

4 0
3 years ago
On a certain​ route, an airline carries 8000 passengers per​ month, each paying ​$70.A market survey indicates that for each​ $1
son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

3 0
3 years ago
How do you do this? Confused, please reply ASAP.
aleksley [76]

Answer:

11. 2/5 = <u>40</u>/100 = <u>40</u>%      12. 29/50 = <u>58</u>/100 = <u>58</u>%

Step-by-step explanation:

To convert the given fraction to a fraction of 100, cross-multiply and divide.

2 × 100 = 200 / 5 = 40

Then, whenever you have a number over 100, all you need to do to get the percentage is find the numerator and add a percent sign at the end of the number.

40 ⇒ 40%

Repeat this with the second question.

29 × 100 = 2900 / 50 = 58 ⇒ 58%

5 0
3 years ago
Read 2 more answers
22/9 divided by 8, please hurry test is timed!
OverLord2011 [107]

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

3 0
3 years ago
Read 2 more answers
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