A = 3x
b = 2x+25
180 = a + b
180 = 3x + 2x + 25
180 = 5x + 25
155 = 5x
x = 31
a = 3*31 = 93
b = 2*31 + 25 = 87
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean given
represent the population standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
The inequality
represents the length of the femur for which the woman had a height greater than 160cm.
Step-by-step explanation:
The given equation is

Where, h is woman's height in centimeters and f is length of the femur in centimeters.
If woman's height is greater than 160cm, then


Substract 60 from both sides.

Divide both sides by 2.5.

Therefore the inequality
represents the lengths of the femur for which the woman had a height greater than 160cm.
Answer: 20 pieces, 72 inches of ribbon
Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches
The median is 1 because that is the number in the middle