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Rasek [7]
2 years ago
10

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which

statements are true regarding his work? Check all that apply.
A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."

B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

D:The statement can be proven true or false.

E:The conclusion of the statement is written before the hypothesis.
Mathematics
1 answer:
lord [1]2 years ago
6 0

the answer is B. good luck

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An article reports Sales have grown by 30% this year to $200 million, what were sales before the growth?
Varvara68 [4.7K]

Answer:

Price before growth = $ 153.85 million

Step-by-step explanation:

Given:

Percentage = 30%

Rate after Increase =new value= $200 million

To Find:

Sales before growth =old value= ?

Solution:

We Know the formula for Percentage growth which is given by the formula

Percentage growth= \frac{Difference value}{old value}*100%

Now let old value = x

So

Difference = New Value - x

                  = 2000 - x

We have formula

Percentage growth= \frac{Difference value}{old value}*100%

Putting in values

30 %= \frac{Difference value}{old value}*100%

30 = \frac{Difference value}{old value}*100

Putting in values

30 = \frac{200-x}{x}*100

multiplying both sides by x

it becomes

30 x = (200-x)*100

Multiplying inside

30 x = 20000 - 100 x

Adding 100 x on both sides

30 x + 100 x = 20000 - 100 x + 100 x

it becomes

130 x = 20000

Dividing both sides by 130

\frac{130*x}{130}=\frac{20000}{130}

itgives us

x = $ 153.85 million

Price before growth = $ 153.85 million

8 0
2 years ago
Express 2log7 5 as a single logarithm. A. log7 52 B. log7 511 C. log7 115 D. log7 √ 5
Bogdan [553]
2\log_75=\log_75^2\to A.\\\\Used:\ \log_ab^n=n\cdot\log_ab
5 0
2 years ago
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Jennifer has a bag of chips that contains 2 red chips and 1 black chip. If she also has a fair die, what is the probability that
fredd [130]
<span> the probability that she rolls an odd number AND and pulls a red chip

so it is = Prob(odd no) * Prob(red chip)

Prob(odd no) for a fair die = 1/2

Prob(red chip) = red chip / total chip = 2/(2+1) = 2/3

so the ans is 1/2 * 2/3 = 1/3

</span>
7 0
2 years ago
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The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour
ikadub [295]
Mean = 12000
Standard Deviation = 2000

We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score

Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.

z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score = \frac{14500-12000}{2000} =1.25

This means, 14,500 is 1.25 standard deviations above the mean value 12,000.
4 0
2 years ago
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A home building company routinely orders standard interior doors with a height of 80 inches. Recently the installers have compla
Helga [31]

Answer: Alternative Hypothesis

Ha : u ≠ 80 inches ( mean not equal to 80 inches)

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.

While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above, the mean door height is 80 inches

H0 : u = 80 inches

Ha : u ≠ 80 inches ( mean not equal to 80 inches)

3 0
2 years ago
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