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2 years ago

There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you will ra

Mathematics

1 answer:

ankoles [38]2 years ago

4 0

Answer:56%

Step-by-step explanation:

total marbles 6+8+11=25

probability a red or a blue (6+8):25=0.56=56%

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After completing english 1a, andre's course course average is a 93. he then scores a 65 on his final exam. which of the followin

Nookie1986 [14]

The answer is b because you take the average of the exam score and the course score, so it comes out to be about a 70

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2 years ago

Hello,how do I calculate the the volume of this compound shape?

Setler [38]

To calculate the volume, we can divide this figure into three shapes. Three rectangular prisms, like the following image

The volume of a rectangular prism is given by the product between its 3 different dimensions, width, length and height. The green prism is the easiest to see the its dimensions, it has a width equals to 3, a length equals to 3 and a height equal to 1/2, therefore, its volume is

$V_g=3\times3\times\frac{1}{2}=9\times\frac{1}{2}=\frac{9}{2}=4\frac{1}{2}$

Since the width of the green prism is 3 and the red prism is 1 1/2 apart from the corner of the green prism, the width of the red prism is the difference between those values.

$3-1\frac{1}{2}=\frac{6}{2}-\frac{3}{2}=\frac{6-3}{2}=\frac{3}{2}=1\frac{1}{2}$

The length and the height of the red prism are also easy to see on the image, both of those values are 1, which means the volume of the red prism is

$V_r=1\frac{1}{2}\times1\times1=1\frac{1}{2}$

Finally, the last prism is the blue prism. The height of the green prism and the blue prism combined is equal to 3/4. Since the height of the green prism is 1/2, the height of the blue prism is

$\frac{3}{4}-\frac{1}{2}=\frac{3}{4}-\frac{2}{4}=\frac{3-2}{4}=\frac{1}{4}$

The length of the red prism and the blue prism combined is equal to 3, since the length of the red prism is 1, the length of the blue prism is

$3-1=2$

The width of the blue prism is given, it is equal to 1. With those dimensions, we can finally calculate the volume of the blue prism.

$V_b=\frac{1}{4}\times2\times1=\frac{1}{2}$

The total volume of the compound shape is the sum of all those volumes we calculated.

$V=V_g+V_r+V_b=4\frac{1}{2}+1\frac{1}{2}+\frac{1}{2}=6\frac{1}{2}$

3 0

2 months ago

To test μ for an x distribution that is mound-shaped using sample size n ≥ 30, how do you decide whether to use the normal or st

Luden [163]

Answer:
Use the normal distribution if the population standard deviation is known.
Use the student's t distribution when the population standard deviation is unknown.

Explanation:
A mound-shaped distribution refers to the normal distribution.
A good sample size for testing against the normal distribution should be
n >= 30.
The condition for the sample size is satisfied.
However, we are not given the population standard deviation, therefore it is assumed to be unknown.
Therefore the student's t distribution should be used.

6 0

2 years ago

Sarah started with 50 dollars in her bank account. Each month, she puts 25 more dollars in her account. The amount of money in d

Basile [38]

D=25m+50

D=(25)(8)+50

D=200+50

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There will be $250 after 8 months.

5 0

2 years ago

Read 2 more answers

Can you very be kind and answer

Lera25 [3.4K]

area of a circle is PI x r^2

2 = d/2 = 5.4/2 = 2.7 cm

using 3.14 for PI

3.14 x 2.7^2 = 22.89 square inches

360 degree in a circle, shaded area is 180 degree, which is 50%

so 22.89 x .5 = 11.45 cm^2

4 0

2 years ago