What fraction of a day is 15 hours

lesya692 [45]

The answer is B.
125n + $2

3 0

3 years ago

Bodytemperatures ofhealthy koalasarenormally distributed with a mean of 35.6°C and a standard deviation of 1.3°C. a.What is the

Licemer1 [7]

Answer:

a

$P(X < 35) = 32.3 \%$

b

$P(\= X < 35) = 0.6 \%$

Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy

c

A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was $P(X < 35) = 32.3 \%$ but when the population was taken into account (i.e n = 30) the probability became

$P(\= X < 35) = 0.6 \%$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 35.6^oC$

The standard deviation is $s = 1.3^oC$

The sample size is n = 30

Generally the probability that a health koala has a body temperature less than 35.0°C is mathematically represented as

$P(X < 35) = P(\frac{X - \mu }{s} < \frac{35 - 35.6}{1.3} )$

Here $(\frac{X - \mu }{s} = Z (The \ standardized \ value \ of \ X )$

So

$P(X < 35) = P(Z < -0.46)$

From the z-table P(Z < -0.46) = 0.323

So

$P(X < 35) = 0.323$

Converting to percentage

$P(X < 35) = 0.323 * 100$

$P(X < 35) = 32.3 \%$

considering question b

The sample mean is $\= x = 35$

Generally the standard error of the mean is mathematically represented as

$\sigma_{\= x} = \frac{s}{\sqrt{n} }$

=> $\sigma_{\= x} = \frac{1.3}{\sqrt{30} }$

=> $\sigma_{\= x} = 0.2373$

Generally the probability of the mean body temperature of koalas being less than 35.0°C is mathematically represented as

$P(\= X < 35) = P(\frac{\= X - \mu }{\sigma_{\= x }} < \frac{35 -35.6}{0.2373 } )$

$P(\= X < 35) = P(Z< -2.53 )$

From the z-table we have that

$P(Z< -2.53 ) = 0.006$

So

$P(\= X < 35) = 0.006 /tex] Converting to percentage [tex]P(\= X < 35) = 0.006 * 100$

$P(\= X < 35) = 0.6 \%$

Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy

A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was $P(X < 35) = 32.3 \%$ but when the population was taken into account (i.e n = 30) the probability became

$P(\= X < 35) = 0.6 \%$

4 0

4 years ago

K5 •m, if k=2 and m=5

kifflom [539]

What you need to do is very easy. If K=2 and m=5 all you need to do is put them in place. So the 2 would go in front of the 5 and the 5 would go right after the multiplication symbol.

25*5 but better way is to have parentheses so it wont look like 25.
2(5)*5= 50

7 0

4 years ago

State what additional information is required in order to know that the triangles are congruent for the reason given.

Nezavi [6.7K]

Answer/Step-by-step explanation:

1. Only one side and an included angle is known. To prove that both triangles are congruent by the SAS Congruence Theorem, an additional information such as a corresponding second side (KJ, and HJ) must be given to be equal to each other.

KJ = HJ

2. Additional information such as a second corresponding angle (angles C and W must be known to prove both triangles are congruent by SAS.

<C = <W

3. Additional information needed is a second corresponding angles must be known to prove the AAS.

4. Additional information needed is the corresponding angles, R and L, which should be equal to prove the ASA.

<R = L

5. Additional information needed: <C = <H

8 0

3 years ago

This question is based on the circle graph below, which shows how an electrical contracting company divides its monthly income.

Novay_Z [31]

Answer is B. 72% hoped this helped!

3 0

4 years ago

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