Question Correction
Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?
- (A)6+6+6+6+6+6
- (B) 2 X 3 X 6
- (C) 2 + 3 + 6
- (D) 6 X 6
Answer:
(C) 2 + 3 + 6
Step-By-Step Explanation
In the diagram,
- Height = 6 Units
- Length =2 Units
- Width =3 Units
Volume = Height X Length X Width
= 6 X 2 X 3
=36 cubic units
Consider the options:
(A)6+6+6+6+6+6 =36 cubic units
(B) 2 X 3 X 6 =36 cubic units
(C) 2 + 3 + 6 = 11 cubic units
(D) 6 X 6 =36 cubic units
Out of the option, that which is not equivalent to 36 cubic units is:
(C) 2+3+6
Therefore, it does not show how Evelyn can find the volume of the box.
Answer:
It takes 20 weeks to empty the lake
Step-by-step explanation:
Some rate, let's call it 
empties the lake in 10 weeks and a river (with rate 
can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:
which implies that this rate empties 0.1 of the lake per week, thus, 
.
Using the same idea, we can obtain that the filling rate of the river is:
Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:
, which means that the lake is being empty at a rate of -0.05 week and using the rule of three:
Thus, It takes 20 weeks to empty the lake.
Answer:
The stock price beyond which 0.05 of the distribution fall is $12.44.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of $8.52 with a standard deviation of $2.38
This means that 
The stock price beyond which 0.05 of the distribution fall is
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
The stock price beyond which 0.05 of the distribution fall is $12.44.
First you would find out how many words he types in 1 minute. Your answer for that is 51 words per minute. Now multiply that by 10 and that your answer. Your answer is 510 words in 10 minutes.
Given:
1/2 pound of flour
split the flour into 3 bags of equal weight.
1/2 ÷ 3
In dividing fractions, you must remember to get the reciprocal of the 2nd fraction and multiply it to the 1st fraction.
3 is the 2nd fraction. Its reciprocal is 1/3
1/2 * 1/3 = 1/6 pound of flour.
The False statement is:
C. Each bag has 1/3 pound of flour.
