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3 years ago

15

The sum of two numbers is 20. one number is three times as large as the second number. what are the two numbers? which let state

ment would you use?

1 answer:

Gnesinka [82]3 years ago

6 0

The answer is five and fifteen.

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2 years ago

5/8 divided by 3/4 what the answer

charle [14.2K]

Answer:

20/24. Simplified answer is 5/6

Step-by-step explanation:

5/8 divided by 3/4 is the same as asking 5/8 times 4/3

When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!

So, now we have 5/8 times 4/3

Step 1: Multiply the numerators together. 5 times 4 = 20

Step 2: Multiply the denominators together. 8 times 3 = 24

Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24

Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.

20 divided by 4 = 5

24 divided by 4 = 6

So, 20/24 is equal to 5/6.

7 0

3 years ago

A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If

igor_vitrenko [27]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Given:

$\mu = 359 \ \ \ \ \ \sigma = 33\\\\$

Using formula:

$\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )$

For point a:

$\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\$

$= P\left ( z$

For point b:

$\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\$

$= 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001$

For point c:

$\to x= 406\ \ and \ \ 461\\\\P(406$

$= 0.9990 - 0.9222\\\\= 0.0768\\\\$

For point d:

$P(X < 406) = 0.9222 = 92.22 \%\ that \ is \ greater \ than\ 50\%$

Hence, the correct choice is "i".

For point e:

$\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\$

5 0

3 years ago