Please help me answer Q9 in the photo!

The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?

Hunter-Best [27]

Given condition is:

A sloth moves in one hour = $\frac{250}{5/8}$

$\frac{5}{8}=0.625$

So, a sloth moves in one hour = $\frac{250}{0.625}=400 units$

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = $\frac{400}{60}$

In 90 minutes it will move = $\frac{400}{60}\times90=600$

The answer is 600 units.

4 0

3 years ago

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some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distribute

denis23 [38]

Answer:

61,239,550

Step-by-step explanation:

We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;

Pr( X>140)

The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

$Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)$

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314

From a population of 6,575,000,000 the number of geniuses would be;

6,575,000,000*0.009314 = 61,239,550

6 0

3 years ago

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Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T

lakkis [162]

Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12
4D = 196 - divide both sides by 4
D=49
Therefore, Doug scored 49

7 0

3 years ago

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Yesterday Annie walked 9/10 mile to her friends house.together to he library which is the best estimate for how far Annie walked

Novay_Z [31]

1. 9/10 + 9/10 =18/10 = 1 8/10 = 1 4/5

8 0

3 years ago

Will someone plz help me this us due and I am confused

mihalych1998 [28]

Hey there! I would love to help you.

Question 1: In both questions, we have to find the repeating decimal as a fraction. There is a specific way to find the fraction given a repeated decimal. In our equation, our variable x will represent the fraction.

x=0.272727....

If you know how too solve systems of equations by elimination, we need to to do something similar to eliminate all of the repeating parts so we can solve for x.

We need to make this a number greater than zero but line up the digits so that we can eliminate every single repeating digit.

To do this, we move the digit as many times to the right as there are digits that repeat. In this case, there are two repeating digits, so we multiply the whole equation by 100.

100x=27.2727...

Now, we can subtract the first equation from the second so that the repeating parts are removed and we can then solve for x and find our fraction.

99x=27

Now, we solve for x.

x=27/99

Now we subtract this from the first fraction.

11/6-27/99= 1 37/66

To make this into a repeating decimal, we just divide the numerator by the denominator.

1.560606060...

As we can see, the 60 is repeating, so the answer is the second option on the first one.

Question 2: In this case, we have two repeating decimals. Let's solve for them both. Because we have a digit after the decimal that does not repeat, we need to move it before we subtract.

10x=4.090909...

We need to line up the decimals, and in this case we need to multiply by 1000.

990x=409.090909...

Now we subtract...

990x=405

We solve...

x=9/22

Now we do the other one.

10x=6.81818181...

We multiply by 100 to line up the decimals for subtraction.

1000x=681.8181....

We subtract...

990x=675

x=15/22

Now, we add our fractions.

24/22 or 1 2/22

Now we turn it back into a repeating.

24/22= 1.09090909...

For this question, select the second option.

I hope this helps!

7 0

3 years ago