Which of the following demonstrates the Distributive Property?

1 answer:

5 0

The answer would be "3(4a + 2) = 12a + 6". With the distributive property, the number outside of the parenthesis is multiplied to each component inside the parenthesis individually. Ex: 3x4a=12a, 3x2=6.

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What is the converse of the statement below?

scoray [572]

Answer:

Step-by-step explanation:

8 0

1 year ago

Use the following information to determine your answer: The length of a movie falls on a normal distribution. About 95% of movie

Elenna [48]

Answer:

$75= 119 -1.96 \sigma$

$\sigma = \frac{75-119}{-1.96}= 22.45$

And tha's equivalent to use this formula:

$163= 119 +1.96 \sigma$

$\sigma = \frac{163-119}{1.96}= 22.45$

Step-by-step explanation:

For this case the 95%of the values are between the following two values:

(75 , 163)

And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

$X \sim N( \mu, \sigma)$

We can estimate the true mean with the following formula:

$\mu = \frac{75+163}{2}= 119$

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:

$75= 119 -1.96 \sigma$

$\sigma = \frac{75-119}{-1.96}= 22.45$

And tha's equivalent to use this formula:

$163= 119 +1.96 \sigma$

$\sigma = \frac{163-119}{1.96}= 22.45$

4 0

3 years ago

If an orange traffic cone has a diameter of 10 in. and a height of 28 in. what is the volume of the cone?

e-lub [12.9K]

Answer:

$\large\boxed{V=\dfrac{700\pi}{3}\ in^3\approx732.67\ in^3}$