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Ksenya-84 [330]
3 years ago
14

The rabbit population in a certain area is 500​% of last​ year's population. There are 300 rabbits this year. How many were ther

e last​ year? There were rabbits last year.
Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0

500% - 5.00

300 / 5 = 60

 there were 60 rabbits last year

NikAS [45]3 years ago
3 0
There was 60 rabbits last year
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Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally o
EleoNora [17]
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>
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3 years ago
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Rauol measured the height of 12 different plants in his garden in April. He measured them again in June. What is the difference
jasenka [17]

The question is incomplete. Here is the complete question.

Raoul measured the ehight of 12 different plants in his garden in April. He measured them again in June.

April Heights (in inches) 12 15 23 11 42 45 44 39 12 19 20 12

June Heights (in inches) 45 45 40 43 11 14 12 13 41 40 45 41

What is the difference between the mean height in April and the mean height in June?

Answer: The difference between means is 8.0

Step-by-step explanation: <u>Mean</u> is the average of a set of numbers.

It is calculated as:

\mu=\frac{\Sigma x}{n}

where

x is the numbers in the set

n is how many numbers are there in the set

For heights in April, the mean is:

\mu_{1}=\frac{12+15+23+11+42+45+44+39+12+19+20+12}{12}

μ₁ = 24.5

For heights in June, the mean os:

\mu_{2}=\frac{45+45+40+43+11+14+12+13+41+40+45+41}{12}

μ₂ = 32.5

The difference between means:

μ₂ - μ₁ = 32.5 - 24.5 = 8.0

The difference between the mean height in April and in June is 8.0 inches.

3 0
3 years ago
Write the number that represents the decimal Three and five hundreths. Write in decimal
Gnom [1K]

Answer:

3.05 is the answer.

7 0
3 years ago
A positive binary number is even precisely when its last digit is 0. When is a negative 2's complement number even?
Alex

Answer:

A negative 2’s complement number is even precisely when its last digit is 0 as well.

Step-by-step explanation:

Proof part 1: Assume there exists a 2’s complement negative even number which ends with 1. We  can, therefore, express this number as

1 ..... 1  = - (2’s complement of 1 ....1)

         = - (0 ...  1 )

         ≠ even

Since we know precisely that a positive binary number is not even when it ends with a 1. This is  a conflict with our assumption. Our assumption is, therefore, wrong.

Proof part 2: Assume there exists a 2’s complement negative odd number which ends with 0. We  can, therefore, express this number as

1 ..... 0  = - (2’s complement of 1 ....0)

         = - (0 ...  0 )

         = even

Since we know precisely that a positive binary number is even when it ends with a 0. This is a  conflict with our assumption. Our assumption is, therefore, wrong.

4 0
4 years ago
Line l is perpendicular to line m with equation 2x + 5y = 20. line l intersects line m at (-5,6).
VladimirAG [237]

Answer:

The equation is y = -2/5x + 4

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

2x + 5y = 20

5y = -2x + 20

y = -2/5x + 4

This gives us a slope of -2/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 6 = -2/5(x - -5)

y - 6 = -2/5(x + 5)

y - 6 = -2/5x - 2

y = -2/5x + 4

7 0
3 years ago
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