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AnnZ [28]
3 years ago
15

The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there t

his year?
Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

180 rabbits

Step-by-step explanation:

<u><em>The correct question is</em></u>

The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there last year?

we know that

900 rabbits represent 500% of last year population

Last year population represent 100%

so

using proportion

Find out how many rabbits represent a percentage of 100%

\frac{900}{500\%}=\frac{x}{100\%}\\\\x=900(100)/500\\\\x=180\ rabbits

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In January the students in a class red 72 books in February they read 56 books what is the approximate percentage decrease in th
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Answer: -12.5%

72 + 56 = 128

72 x / 128 x 100 = 56.25

56 / 128 x 100 = 43.75

43.75 - 56.25 = - 12.5

5 0
2 years ago
What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = -6?
Dmitrij [34]

Answer:

y = \frac{3}{2} x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = \frac{3}{2} x + 3 ← in slope- intercept form

with slope m = \frac{3}{2}

• Parallel lines have equal slopes, hence

y = \frac{3}{2} x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = \frac{3}{2} x - 4 ← equation of parallel line

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3 years ago
In the triangle below what is the approximate value of x
sveta [45]
You can solve using the pythagorean theorem which is

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12^2+x^2=24^2
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4 0
3 years ago
Read 2 more answers
Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are
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Answer:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

\hat p=0.36 estimated proportion with the survey

p_o=0.41 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:  

Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

8 0
3 years ago
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Phil has a strip of wood trim that is 16 feet long. He needs 5-foot pieces to trim some windows. What are the possible numbers h
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He can cut either 5 7 and 9
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