Answer:
14
Step-by-step explanation:
This is a division problem.
We want to find how many 1/3 liters are in 4⅔ liters.
We divide to obtain:

Or

Convert to improper fraction.


This simplifies to

Therefore there are fourteen ⅓ liters in 4⅔ liters
Answer:
Due to the higher z-score, he did better on the SAT.
Step-by-step explanation:
When the distribution is normal, we use 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.
Determine which test the student did better on.
He did better on whichever test he had the higher z-score.
SAT:
Scored 1070, so 
SAT scores have a mean of 950 and a standard deviation of 155. This means that
.



ACT:
Scored 25, so 
ACT scores have a mean of 22 and a standard deviation of 4. This means that 



Due to the higher z-score, he did better on the SAT.
1.45 meters is your answer
Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:

Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:



Solve for h:


The height of the trapezoid is 5 units
Answer:
0.4545 kgs.
Step-by-step explanation:
Given that 1 kg weighs approximately 22 pounds.
i.e. 1kg= 22 lbs.
We can use this to convert lbs into kg.
22 lbs = 1 kg
Hence 1 lb = 1/22 = 0.04545 kg
Now to find out the equivalent weight for 10lbs,
we have conversion factor as 1 lb= 0.04545 kg
Hence 10 lbs = 10(0.04545) = 0.4545 kgs
Hence 10 pounds written in equivalent kgs would be0.4545 kgs.