In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.

Mathematics

1 answer:

ahrayia [7]1 year ago

3 0

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do $2^{7}$ .

That is 128

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The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of

yuradex [85]

A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

u(m) = u/sqrt n

Substituting the known values,

u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,

z-score = (data point - mean) / standard deviation

z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.

z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.

The difference between the two z-scores is 0.762.

The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters

z-score = (172 - 174.5) / 1.38

z-score = -1.81
This translates to 0.03.

The number of people with this height from the sample is (0.03)(200) = 6

8 0

1 year ago

Calculate the value of x to one decimal place. inches

kakasveta [241]

Use the law of cosines: $c^2=a^2+b^2-2ab\cos C$

We have:

$c=x\\a=3in\\b=7in\\C=54^o$

substitute:

$\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8$

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Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l

lbvjy [14]

Add some of them or all of them to your sum of 47.75, if either or exceeds the limit then that is what left out.

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1 year ago

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Your lab develops a synthetic compound that is extremely light but very durable. You test it by making a solid ball with a radiu

Maksim231197 [3]

The volume of a spherical shaped object is given by

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

Given that the <span>solid ball has a radius of 20.0 millimeters, the volume of the solid ball is given by

$V= \frac{4}{3} \pi(20)^3\approx33,510mm^3$

Therefore, the </span><span>closest to the volume of the synthetic compound ball, in cubic millimeters is 33,500 cubic milimeters.</span>

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2 years ago

Solve for x: one over eight (8x + 15) = 24

svetlana [45]

1/8 ( 8x + 15)= 24

x + 1 7/8= 24

x= 24 - 1 7/8

x= 22 1/8

The answer is none of them.

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2 years ago

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