Answer:
Here is your answer:
5x + 2 < 32
solution:
5x+ 2 < 32
or, 5x < 32-2
or, 5x < 30
or, 5x < 30/2
or, 5x < 15
or, x < 15/3
or, x < 5
therefore, x < 5 <u>ans</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>you</u></em>
<span>-8 < x -3 < 1
we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
Answer:
9:30 am
Step-by-step explanation:
We can make a chart and keep filling it in until we see the same time in both columns.
Bus A Bus B
7:00 7:00
7:30 7:50
8:00 8:40
8:30 9:30
9:00 10:20
9:30
Answer: 9:30 am
We can also use the least common multiple of 30 and 50.
We need to find the smallest number that is a multiple of both 30 and 50.
30 = 2 * 3 * 5
50 = 2 * 5^2
LCD = 2 * 3 * 5^2 = 150
The first time the buses will be at the depot together after 7:00 am is 150 minutes later. 150 minutes = 2 hours 30 minutes.
7:00 am + 2 hours and 30 minutes = 9:30 am
Answer: 9:30 am
Answer:
2/1 or 2
Step-by-step explanation:
You go up 6 and over 3 simplify 6/3 to 2/1=2
