Answer:
a) 18,21,24
b)180, 144, 108
Step-by-step explanation:
Answer:
135 degrees.
Step-by-step explanation:
Assuming that it is a regular octagon, you can use the formula (n-2) (180) divided by n. n = sides. Therefore, (8-2) (180) divided by 8, which is 135.
Answer:
7x+10 cm
Step-by-step explanation:
To find the perimeter add up all the sides
There are 5 sides
3x+ 5+ 2x+2x+5
Combine like terms
3x+2x+2x +5+5
7x + 10
The perimeter is 7x+10 cm
Answer: Pigs = 21
Chicken = 45
Step-by-step explanation:
Let the pigs be represented by p
Let the chicken be represented by c.
From the question,
p + c = 66
4p + 2c = 174
4 × ( p + c = 66)
1 × (4p + 2c = 174)
4p + 4c = 264
- 4p + 2c = 174
2c = 90
c = 90/2 = 45
There are 45 chickens
Simce the farmer has a total of 66 animals, the number of pigs will be:
= 66 - 45
= 21 pigs
Answer:
Null hypothesis:
Alternative hypothesis:
Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.
Step-by-step explanation:
Information provided
represent the sample mean for the MPG of the cars
represent the population standard deviation
sample size of cars
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test
Hypothesis
We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation the statistic is given by:
(1)
Calculate the statistic
Replacing we have this:
Decision
Since is a two tailed test the p value would be:
Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.
