Answer: 0.1010052
Step-by-step explanation:
Given : Significance level : 
Alternative hypothesis : 
The test statistic value : 
Since , the alternative hypothesis is two-tailed, so the test is a two-tailed test.
Using standard normal distribution table for z, we have
The P-value of two-tailed test will be :-
Hence, the P-value = 0.1010052
Answer:
3.5x + 15 ≥ 55
Step-by-step explanation:
I think the question below contains the missing information.
<em>Josh has a rewards card for a movie theater. - He receives 15 points for becoming a rewards card holder. - He earns 3.5 points for each visit to the movie theatre. - He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his firs free movie ticket?
</em>
My answer:
- Becoming a member = 15 points
- Visiting the moving theater = 3.5 points
- Total points needed for a free movie ticket = 55
Let x is the number of times he visits = 3.5x
Total points = Points received on becoming a member + Points received on x visits
So,
Total Points = 15 + 3.5x
We know the total points must be at least 55 for a free movie ticket. This can be expressed as:
3.5x + 15 ≥ 55
We know the opposite and adjacent sides of angle B, so we can use the inverse tangent to solve for its value.
tan(B)^-1 = 3/4
B = 64.4 degrees
Answer:
40 and 16
Step-by-step explanation:
Let's say these numbers are 5x and 2x.
Their sum is 56, so
5x + 2x = 56
7x = 56
x = 8
Now substitute the unknown value with 8.
5 · 8 = <u>40</u>,
2 · 8 = <u>16</u>
