Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
rectangles perimeter: 6w
equilateral triangles perimeter: 3w+24
scenario’s equation: 6w=3w+24
Step-by-step explanation:
w=8
rectangles perimeter= 48
EQUTRI perimeter= 48
Answer:
The perimeter of the hexagon is 48.5 feet
Step-by-step explanation:
In this question, we are asked to calculate the perimeter of a regular hexagon, given the length of its apothem and its area value
Recall;
Mathematically the area of a regular hexagon A = 1/2 * P * a
where P is the perimeter of the hexagon which is unknown according to the question, a is the apothem of the hexagon which is 7 feet and A is the area which is 169.74 sq.feet according to the question
Plugging these values into the equation, we have;
169.74 = 0.5 * 7 * P
P = 169.74/3.5
P = 48.50 ft
Answer:
1 : 9.75 * 10⁷
Step-by-step explanation:
To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.
