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3 years ago

What percentage of the apples are green?

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

6 of the 30 apples are green

6 / 30 = .2

So 20% of the apples are green.

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What are some important features of a prism? In other words, what makes a prism a prism?

Flauer [41]

Answer:

A solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 75 and a standard deviation o

Shalnov [3]

Answer:

a) 0.975

b) 0.16

c) 0.475

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 75

Standard deviation = 5

We also have that since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above.

a. The relative frequency of rates less than 85 using the 68-95-99.7 rule is

85 is two standard deviations above the mean.

So all the 50% below the mean is below 85

And of the 50% above the mean, 95% is less than 85. So

0.5 + 0.95*0.5 = 0.975

b. The relative frequency of rates greater than 80 using the 68-95-99.7 rule is

80 is one standard deviations above the mean.

Of the 50% above the mean, 68% is less than 80. So 100-68 = 32% is more than 80.

0.32*0.5 = 0.16.

c. The relative frequency of rates between 65 and 75 using the 68-95-99.7 rule is

Within the mean and two standard deviations below the mean.

So 95% of 50%

0.95*0.5 = 0.475

6 0

4 years ago

8)What is the equation of a line that goes through the point (3, 12) and is perpendicular to the line given by the equation y =

grigory [225]

The slope of the first line is $m_1=\frac{-1}{3}$ .
To be perpendicular the slope of the second line must be the negative reciprocal of the first: $m_2=3$
Use the slope-intercept formula:
$y=mx+b$
Substitute known values:
$12=3(3)+b$
Solve for $b$ :
$b=3$
Complete the formula:
$y=3x+3$

4 0

4 years ago

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$