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Valentin [98]
3 years ago
11

if 20 is a factor of a number, then the number must be greater than 30. Which number is a counterexample to the given statement?

10, 20, 30, 40, 50
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

Answer:

Step-by-step explanation:

I do see why you posted the question. You probably will think that the answer is obvious. Sometimes it is.

20 is a factor of 20. That's the counter example.

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Anyone know the answer??
podryga [215]

Answer:

m∠CAD = 120°

m∠CBA = 30°

7 0
3 years ago
Read 2 more answers
The population of a town was 57,000 in 1980 and 81,000 in 2010. Assume the rate of population increase is constant. What will th
sergejj [24]
You have to find the equation that would fit the situation which would be 57,000+800x= population. Then the difference in the years from the year you are trying to figure out to 1980 is plugged in for x. so you would do 2015-1980=35 you would then plug in 35 of x in the equation. 57,000+800(35)=85,000. 
5 0
3 years ago
Which numbers belong to the solution set of inequality 9x>117
Anna007 [38]

Hello Nancy

9x>117

Divide both sides by 9

9x/9>117/9

x>13


I hope that's help:0

3 0
4 years ago
A poultry farmer wishes to estimate the average incubation period (the number of days between a hen laying her egg and the time
sergiy2304 [10]

Answer:

49 eggs.

Step-by-step explanation:

The formula for Margin of Error =

z × standard deviation/√number of samples

z = z score of 98% confidence interval = 2.326

Margin of Error = Half a day = 1/2day = 0.5 day

Standard deviation = 1.5 days

Number of samples = number of eggs he needs to sample = unknown.

Imputing these above values into the formula

Margin of Error = z × standard deviation/√number of samples

0.5 = 2.326 × 1.5/√n

Cross Multiply

0.5 × √n = 2.326 × 1.5

√n = 2.326 × 1.5/0.5

√n = 3.489/0.5

√n = 6.978

Square both sides

(√n)² = 6.978²

n = 48.692484

n ≈ Approximately to the nearest whole number = 49

Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs

8 0
3 years ago
  Sarah Wiggum would like to make a single investment and have ​$1.7 million at the time of her retirement in 34 years. She has
vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

t = 35, I = 0.07, T = 1700000

She has to invest P today.

T = E + P

1700000 = E + P

E = 1700000 - P

So

E = P*I*t

1700000 - P = P*0.07*34

3.38P = 1700000

P = \frac{1700000}{3.38}

P = 502958.58

Sarah has to invest $502,958.58 today.

8 0
3 years ago
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