Answer:
31:150
Step-by-step explanation:
First of all we convert the hours into minutes:
5×60=300
which gets us 42:300, which we can simplify to:
31:150
and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.
Answer:
Q3 = 65.7825.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
Find the value of the quartile Q3. (Hint: Q3 has an area of 0.75 to its left.)
This is the value of X when Z has a pvalue of 0.75. So it is X when Z = 0.675.
Q3 = 65.7825.
Answer:
Absolute value means how far are you from zero on the number line.
absolute value of | -18| for example is 18
this means that you are at -18 on the number line that is 18 points away from zero.
and absolute value of |18 | is 18
this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.
Step-by-step explanation:
2400 divided by 44% which is 1056.
(sneaky way to put history in math, btw...)
Answer:
16 cm²
Step-by-step explanation:
The figure is a trapezoid with two parallel sides.
The formula for the area is
A = ½(a + b)h
Data:
a = 5 cm
b = 3 cm
h = 4 cm
Calculation:
A = ½(5 + 3) × 4 = ½ × 8 × 4 = 16 cm²
The area of the trapezoid is 16 cm².
