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Bezzdna [24]
2 years ago
14

For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is

r = 0.9. If you had measured tail length in centimeters instead of millimeters, what would be the correlation? (There are 10 millimeters in a centimeter.)
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
8 0

Answer:

Step-by-step explanation:

Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.

The correlation is r = 0.9

If you had measured tail length in centimeters instead of millimeters, what would be the correlation?

For this we must understand the meaning of correlation and formula

Correlation is a measure of linear association between the two variables and always lie between -1 and 1

This is got by dividing covariance of (x,y) by product of std deviation of x and y

So because we changed the units of length correlation coefficient would not change.

It would remain the same as 0.90

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The average daily rainfall for the past week in the town of Hope Cove is normally distributed, with a mean rainfall of 2.1 inche
natita [175]

Answer:

D

Step-by-step explanation:

We calculate the z-score for each

Mathematically;

z-score = (x-mean)/SD

z1 = (1.9-2.1)/0.2 = -1

z2 = (2.3-2.1)/0.2 = 1

So the proportion we want to calculate is;

P(-1<x<1)

We use the standard score table for this ;

P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%

6 0
2 years ago
The half life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for the drug to decay to 86% of th
nata0808 [166]

Answer:

  8.1 hours

Step-by-step explanation:

A model of the fraction remaining can be ...

  f = (1/2)^(t/37) . . . . t in hours

So, for the fraction remaining being 86%, we can solve for t using ...

  0.86 = 0.5^(t/37)

  log(0.86) = (t/37)log(0.5)

  t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours

It takes about 8.1 hours to decay to 86% of the original concentration.

5 0
2 years ago
What is 6.37 × 104 written in standard form?   A. 63,700   B. 637,000   C. 6370   D. 637
Setler [38]
= 6.37 * 10^4 = 637 * 10^2 = 63700

In short, Your Answer would be Option A

Hope this helps!
8 0
2 years ago
Read 2 more answers
An iron tank is constructed in the form of an isosceles trapezoid. Each base angle measures 105°, the length of the base is 10 f
Nikolay [14]
The right answer for the question that is being asked and shown above is that: "13 ft."An iron tank is constructed in the form of an isosceles trapezoid. Each base angle measures 105°, the length of the base is 10 feet, and each of the <span>nonparallel sides is 12 feet long. The length of a diagonal brace to the nearest whole number is 13 ft</span>
4 0
2 years ago
Read 2 more answers
Help. Step By Step Explanation. Ron and two of his friends ate one fourth each of an eight slice pizza. Find remaining slice of
Natasha_Volkova [10]

Answer:

2 remaining slices

Step-by-step explanation:

It sounds complicated so firstly, let's break it down.

Ron and two of his friends

There are three people involved in this question.

ate one fourth each

These three people ate one fourth of the pizza each

of an eight slice pizza.

From a pizza with eight slices

Find remaining slice of the pizza ​

The main question : remaining slice of the pizza

So since there were three people and they ate one fourth of the pizza

( One fourth's \frac{1}{4} by the way )

We need to find out how much have they ate.

Simply multiply 3 with \frac{1}{4} .

3 × \frac{1}{4} = \frac{12}{4} × \frac{1}{4}

= \frac{3}{4}

And there you go! Ron and his friends ate \frac{3}{4} of the pizza.

But that's not the end.

The main question : Remaining slice of the pizza

It's an eight slice pizza, so a slice would be : \frac{1}{8}

A full eight slice pizza would be one.

So, to find the remaining slice of pizza, simply subtract \frac{3}{4} from 1.

1 -  \frac{3}{4} =  \frac{4}{4} -  \frac{3}{4}

= \frac{1}{4}

Now there's a remainding of \frac{1}{4} of the pizza.

But the question asked for remaining slices.

So, simply convert the denominator into 8!

( Just in case you don't know what's a denominator )

\frac{numerator}{denominator}

So, simply multiply the denominator by 2 to turn 4 into 8!

And also, whenever the denominator is multiplied/ divided by any number, so do the numerator.

\frac{1 times 2}{4 times 2} = \frac{2}{8}

Your answer's the numerator, 2!

So your final answer should be 2 remaining slices out of the eight sliced pizza.

<h2>HOPE THIS ANSWER HELPED :)</h2>
8 0
2 years ago
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