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4 years ago

What's 99.1 ×0.16 (must show work)

2 answers:

8 0

99.1
x0.16

6(1)=6
6(9)=54. Put down the 4 and carry the 5.
6(9)=54+5= 59.

You work in reverse, so our last number should be first and our first number last. So the first number is: 5946

Our next row, we put down a 0 and then continue.
1(1)=1
1(9)=9
1(1)=9

Our second number is 9910.

Add the two: 5946+9910=15856

Count the number lf decimal places. In this case, three. Move the decimal 3 places left: 15.856

I always double check using a calculator.

**Sorry the methods it's written out in isn't better, but I can't upload pictures. Hope it helps.

alexandr1967 [171]4 years ago

4 0

The answer is: " 18.856 " .
_______________________________________
Explanation:
_______________________________________
Here is ONE method:
__________________
Given:
___________________

99.1
* 0.16
____________
= ?
_________________________
Here is one way to approach the problem—
(Note: Work is shown in this explanation; as dictated by the actual
question being asked.) ;
__________________________
→ Write problem as:
__________________________
991
* 16
_________ → and solve;
5946
+ 991
_________
15856 ;
_______________________________________________
Then, taking the number; "15856", we move the decimal; or "implied decimal point"; ending after the last digit, "6"; ; back 3 (THREE) spaces;
since the original problem is: "99.1 * 0.16 ; as such, we move the "implied decimal point" back "1 (ONE) space; to account for the fact that we used "991" in lieu of the actual value {"99.1"} ; and we move the "implied decimal point" back 2 (TWO) additional spaces''; to account for the fact that we used "16" in lieu of the actual value {"0.16"}.
______________________________________
→ As such, we take: " 15856." ; and move the "implied decimal point" ending after the number, "6"; back three spaces, to get: " 15.856 ".
_________________________________________________________
Let us check our answer by using a calculator:
____________________________________________________
→ 99.1 * 0.16 =? 18.856 ?? ; Yes!
____________________________________________________

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3 years ago

A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit

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The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=73,\sigma=7)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

$P(X>a)=0.055$ or $P(X$

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition $P(X$ , the best way to solve this problem is using the z score with the following formula:

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

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

$P(X$

So then based on the equalities we have this:

$\frac{a-73}{7}=1.598$

And if we solve for a we got:

$a=(7*1.598) +73=84.186$

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

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