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cricket20 [7]
1 year ago
14

According to statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed the

number of years watching TV by 20. Over the lifetime, how many
wears will the person spend on each of these activities?
Mathematics
1 answer:
Nata [24]1 year ago
3 0

Let the number of years of watching TV be

x

.

The number of years sleeping exceeds the number of years watching TV by

18

. This means that the number of years sleeping is higher than the number of years watching TV by

18

and can be represented by

(x+18).

The total time is 34

years. So we can form the following equation and solve for the required values:

x+(x+18)=34

x+x+18=34

2x=34-18

2x=16

x=16/2

x=8

Thus, the number of years watching is 8

and the number of years sleeping is

8+18=26

.

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The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?
storchak [24]
Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.

Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
5 × 12
6 × 10

60 - 1 = 59
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
12 - 5 = 7
10 - 6 = 4

5 is 7 less than 12, and 60 is their least common multiple.

Answer: 5 and 12 
8 0
3 years ago
ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo
viva [34]

Answer:

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let <em>X</em> = number of lightning strikes on each day.

A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.

The random variable <em>X</em> has a sample mean of, \bar x=8.1\ mn and the population standard deviation, \sigma=0.51\ mn.

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

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

Compute the critical value of <em>z</em> for 99% confidence interval is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760

*Use a <em>z</em>-table.

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike  implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0
3 years ago
Use distributive property to simply 2(4+9w)
valina [46]

Answer: 8+18W

Step-by-step explanation:

1. First multiply the 4 by 2, equalling 8.

2. Then multiply the 9W by 2, equalling 18W.

3. 8 and 18W are unlike terms, so they can not be added together.

4. The answer would stay as 8+18W.

5 0
3 years ago
A line has a slope of − 1 and a y-intercept of 7. What is the equation of the line in standard form?
allochka39001 [22]

Answer:

y= -1x+ 7

Step-by-step explanation:

x in a equation is slope and the other number is y- intercept

3 0
3 years ago
Jonathan is driving to his grandma’s house. Jonathan’s car is going 75 mph and he has to go 340 miles still. Brighton, Jonathan’
Karo-lina-s [1.5K]

Answer:

Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.

Step-by-step explanation:

340/75=4.53

320/70=4.57

3 0
3 years ago
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