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3 years ago

Please help! DUE RIGHT NOW

Mathematics

1 answer:

DochEvi [55]3 years ago

8 0

Answer:

36) C, 790 m²

37) D, 625 in²

Step-by-step explanation:

To find the volume of a rectangular prism, we will multiply the length, width, and height together. The dimensions of the aquarium are 22.9×7.5×4.6. Multiply these together.

22.9 · 7.5 · 4.6 = 790.05

The volume is 790.05 m². This rounds down to 790 m², so the answer is C.

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For the next question, the dimensions aren't given. Instead, we need to calculate them from the sidelengths of the unit cubes. Multiply 2.5 by the number of units on the length, width, and height of the prism. So, the dimensions are 10×12.5×5. Find the product of these dimensions.

10 · 12.5 · 5 = 625

The volume is 625 in². The answer is D.

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I hope this helps ^^ Good luck

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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering

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Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04$

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75$

The probability for this value of z is

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The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02$

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5$

The probability for this value of z is

$P(x$

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6 0

3 years ago

The number of freshman at George Washington high school is 60 greater than the number of sophomores. If there are 1250 students

solmaris [256]

Answer:

Hence total number freshman presented are 655.

The system is relative system as there is correlation between freshman and

sophomores<em>.</em><em>( as freshman are 60 more than the Sophomores)</em>

Step-by-step explanation:

Given:

1250 total students of sophomores and freshman.

To Find:

freshman count and its type of system used.

Solution:

We have that ,

consider x be the no.of freshman and y be the sophomores

So by given condition,

x+y=1250 ,..............................Equation(1)

And other one,

x=60+y

Use above value in equation (1) we get ,

60+y+y=1250

2y=1250-60

y=595

Now number of freshman ,

x+y=1250

x=1250-595

x=655

Hence total number freshman presented are 655.

The system represent the relative proportion system.The break even and total value should include all students in university .

Relative means in relationship with one another .

As there are 60 more number of freshman than the sophomores.

3 0

3 years ago