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topjm [15]
2 years ago
8

Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 3 o

f them are infected. How many elk are likely to be infected?
Mathematics
2 answers:
Anastasy [175]2 years ago
7 0

Answer:

405

Step-by-step explanation:

We can use a ratio to solve

3 infected           x infected

------------------ = ----------------

50 sampled     6750 population

Using cross products

3*6750 = 50x

Divide each side by 50

3*6750/50 = x

405

Nady [450]2 years ago
6 0

Answer:

Around 405 elk should be infected with the parasite.

Step-by-step explanation:

6,750/50=135

135 * 3 = 405

hope this helps :)

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A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn
loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 ,  69.312)

a) be the same

Step-by-step explanation:

<u>Step (i)</u>:-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (ii) :</u>-

Given  The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (iii)</u>:-

95 percent confidence interval for μ is determined by

(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )

(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )

(65 - 4.312 ,65 +4.312)

(60.688 ,  69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

<u>Conclusion</u>:-

it become same as (61.08, 68.92)

4 0
3 years ago
Points U, M, And D are collinear with U between U and D.
zheka24 [161]

The value of x from the given equation is 5/3

<h3>How to determine the value</h3>

Since the three points are collinear to U, they are on a straight line which equals 0

Then we have,

UM + UD =  MD

5x+30 + 10x+20 = 3x+80

Collect like terms

5x + 10x + 50 = 3x + 80

15x - 3x = 80 - 50

12x = 30

x = 30/12 = 15/6 = 5/3

Thus, the value of x from the given equation is 5/3

Learn more about collinear points here:

brainly.com/question/18559402

#SPJ1

5 0
2 years ago
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mina [271]
4. 15 tens, 1 hundred, 5 tens
150
5. 18 tens, 1 hundred, 8 tens
180


note: I hope this helps. I haven't done this in a long time. Sorry X(
3 0
2 years ago
Select the measures that are equal. Select all that apply.
BartSMP [9]
D and F and C are all equal D.360 F. 10yards = 360inches C. 30 feet = 350inches.
3 0
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8. The difference between two numbers is 14. If 1/3of the larger number is subtracted from the smaller number, the
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Answer:

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Step-by-step explanation:

7 0
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