Answer:
There is sufficient evidence at 0.05 significant level to support company's claim.
Step-by-step explanation:
We have these informations from the question
n = 1400
P^ = 31% = 0.31
Alpha level = 5% = 0.05
Then we come up with the hypothesis
H0: P = 0.28
H1: P>0.28
From here we calculate the test statistic
z = p^ - p/√pq/n
P = 0.28
q = 1-0.28
= 0.72
z = 0.31-0.28/√(0.31*0.72)/1400
= 0.03/√0.0001594
= 0.03/0.012
= 2.5
Then we have a p value = 0.00621
The p value is less than significance level
0.00621<0.05
So the null hypothesis is rejected.
We conclude that There is sufficient evidence at 0.05 significant level to support company's claim.
Answer:
15cm
Step-by-step explanation:
- c2=a2+b2 thus do the math and 15 comes
Step-by-step explanation:
the probability will be amount of green marbles over total amount of marbles
if there are 2 green marbles, and 10 total the probability is 2/10, or 20%
Answer:
Mia is correct.
Step-by-step explanation:
You can see this if you write 5/11 in a calculator, you get 0.454545454545 infinitely. In other cases, you would write it like Malik said if the answer were to be 0.455555555, but it isn't.
Answer: The price of meal before the tip = $34.
Step-by-step explanation:
Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)
Total amount paid ( including tip) = $41.48
Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.
Let x be the price of meal, then
Total bill =x + 0.22 x (x )
⇒ $41.48= x(1+0.22) [ By distributive property]
⇒ $41.48 = x (1.22)
⇒ x= ($41.48) ÷ 1.22
⇒ x= 34
Hence, the price of your meal before you applied the tip = $34.
