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2 years ago

Select all the distribution shaped for which the mean and median must be about the same.

Mathematics

1 answer:

irga5000 [103]2 years ago

3 0

The distribution shaped for which the mean and median must be about the same will be:

D. Symmetric

E. uniform

<h3>How to illustrate the information?</h3>

In a symmetric distribution, the median is equal to the mean. The bell-shaped distribution is same as the standard normal distribution.

In a right-skewed distribution, the median is much less than the mean and a bimodal distribution is one with two modes.

Therefore, the correct options are D and E.

Learn more about mean on:

brainly.com/question/1136789

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3 years ago

A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and

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Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

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When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

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7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

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120 and 240 are the lengths of the 2 parts of the journey.

Thanks

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3 years ago

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Answer:

<u>The annual interest rate was 4%</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

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This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

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Answer:

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