The total number of kids:
8+24 = 32
the ratio is 24:32
it simplifies into 3:4
Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Answer:
<em>4(b) , 5(a)</em>
Step-by-step explanation:
(4). <em>(b)</em> Domain is {0, 1, 2, 3} and Range is { - 3, - 2, - 1, 0}
(5). <em>(a)</em> Domain is [ - 4, 2] and Range is [ - 4, 4]
or
domain: - 4 ≤ x ≤ 2 , range: - 4 ≤ y ≤ 4
Step-by-step explanation:
The area of the triangular base is: 19
square units
How to calculate the base area
The given parameters are:
Volume = 27.36 cubic units
Height = 2.88 unit
The volume of a triangular prism is:
V = 0.5 * B *h
Where B represents the base area.
So, we have:
27.36 = 0.5 * B * 2.88
27.36 B * 1.44 -
Solve for B
B = 19
Hence, the area of the triangular base is: 19 square units
Answer: 325
Step-by-step explanation:
Student tickets: x
Adult tickets: x + 71
Total: 579
x + x + 71 = 579
2x + 71 = 579
2x = 579 - 71
2x = 508
x = 508/2
x = 254
Adult tickets = x + 71 = 254 + 71 = 325
P.S. Hope it helps. If you have any questions, feel free to ask them here. I'll be happy to help! Have a wonderful day!