Step-by-step explanation: All you have to do is look at the power of the tens. The one that is the least is A. Since none of the other choices are equal to or less than 10^7, A is your answer. In scientific notation, you almost always look at the 10^x first.

5 0

3 years ago

Why isnt 40 divisable by 7 ?

stealth61 [152]

Actually, 40 is divisible by 7. Any number is divisible by 7. However, 7 does not go into forty evenly. Your quotient would have a remainder since 7 cannot go into 40 an even number of times.

7 goes into 40 5 times evenly (7x5=35) 40-35 is five, so 40 divided by 7 is 5 (remainder 5)

~theLocoCoco

6 0

3 years ago

The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard

bulgar [2K]

We have been given that the lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years. We are asked to find the probability of a lion living longer than 10.1 years using empirical rule.

First of all, we will find the z-score corresponding to sample score 10.1.

$z=\frac{x-\mu}{\sigma}$ , where,

z = z-score,

x = Random sample score,

$\mu$ = Mean

$\sigma$ = Standard deviation.

$z=\frac{10.1-12.5}{2.4}$

$z=\frac{-2.4}{2.4}$

$z=-1$

Since z-score of 10.1 is $-1$ . Now we need to find area under curve that is below one standard deviation from mean.

We know that approximately 68% of data points lie between one standard deviation from mean.

We also know that 50% of data points are above mean and 50% of data points are below mean.

To find the probability of a data point with z-score $-1$ , we will subtract half of 68% from 50%.

$\frac{68\%}{2}=34\%$

$50\%-34\%=16\%$

Therefore, the probability of a lion living longer than 10.1 years is approximately 16%.

3 0

4 years ago