Answer:
the actual distance is 1800 ft.
Step-by-step explanation:
Proportion states that the two fractions or ratios are equal.
Let x be the actual distance.
As per the statement:
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.
⇒1 inch = 150 ft.
if the distance between his classroom in the cafeteria measures 12 in on the map.
by definition of proportions we have;
By cross multiply we have;
ft
Therefore, the actual distance is 1800 ft.
Answer:
a) The probability of selling less than 100 gallons (x≤1) is P=0.16.
b) The mean number of gallons is M=80 gallons.
Step-by-step explanation:
The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].
The probability of selling less than 100 gallons (x≤1) is then:
The mean number of gallons can be calculated as:
Answer:
= −0.26
= 0.4219
Step-by-step explanation:
Given:
Sample1: 98.1 98.8 97.3 97.5 97.9
Sample2: 98.7 99.4 97.7 97.1 98.0
Sample 1 Sample 2 Difference d
98.1 98.7 -0.6
98.8 99.4 -0.6
97.3 97.7 -0.4
97.5 97.1 0.4
97.9 98.0 -0.1
To find:
Find the values of and
d overbar ( ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
= ∑d/n
= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
= −1.3 / 5
= −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
= √∑(
-
)²/ n-1
=
√
= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −
(−0.26))² + (−0.1 − (−0.26))² / 5−1
=
=
=
= 0.4219
= 0.4219
Subscript d represent
μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.