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nata0808 [166]
3 years ago
7

The sum of two numbers is 40 and the difference is 4. What are the numbers?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

18, 22

Step-by-step explanation:

Half of 40 is 20 right? Then one number has to be 2 less, while the other number is 2 more. So there is a difference of 4.

<h2>Hello!!!</h2>
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Solve: 3x - 1 = 8(x + 1) + 1
amm1812

Answer:

x=-2

Step-by-step explanation:

3x-1=8x+8+1

3x-1 = 8x+9

3x-1+1=8x+9+1

3x= 8x+10

3x-8x=8x+10-8x

-5x=10

-5x ÷-5

10 ÷-5

x=-2

6 0
2 years ago
You can walk 1 1/2 miles in 1/2 an hour what is your average speed
Nesterboy [21]

Answer:

3 miles per hour

Step-by-step explanation:

If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking

8 0
2 years ago
2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you
ANEK [815]

Answer:

Step-by-step explanation:

a.

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

b.

Population standard deviation is σ = 8.2

<u>So, the standard error of x’ using the finite population correction factor is give by</u>

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

<u>Standard error of x’ without using the finite population correction factor is</u>

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

<u>There is little difference between the two values of the standard error. So we can ignore the population correction factor.</u>

c.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ  + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

<u>So the required probability is </u>

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

7 0
3 years ago
A camp program charges a registration fee and a daily amount. The total bill for 12 days is $338. The total bill for 19 days is
Artyom0805 [142]

The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp.

<h3>How to form an equation?</h3>

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given, the cost of the camp program

$338 → 12 days

And,

$506 → 19 days

Slope = (506-338)/(19-12)

Slope = 24

So, the cost per day will be 24

So equation will be

y = 24x

Now,

The charge is for 30 days ⇒

y = 24 (30)

y = $720

And

Number of days of camp could someone attend with a budget of $530⇒

530 = 24x

x = 22.08

Since day could not be a decimal quantity so it will be 22.

Hence "The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp".

For more about the equation,

brainly.com/question/10413253

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4 0
2 years ago
If 5 miles is 8km . Convert 33.7 km into miles
LenKa [72]

Answer:

20.94021

Step-by-step explanation:

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7 0
2 years ago
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