Step-by-step explanation:
Rise of y-value = (-4) - (3) = -7.
Run of x-value = (8) - (6) = 2.
Slope of the line = Rise / Run = (-7) / (2) = -3.5.
Answer:
B. 5, 20, 80, 320.
Step-by-step explanation:
f(1) = 5
After the first rem, each term id 4 times the previous term, so:
f(2) = 4f(1) = 4*5 = 20.
f(3) = 4f(2) = *20 = 80
f(4) = 4(f3) = 4*80 = 320.
Answer:
3 is the right I think idonk
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Answer:
![Area = 270m^2](https://tex.z-dn.net/?f=Area%20%3D%20270m%5E2)
Step-by-step explanation:
Given
![A = \frac{1}{2}bh](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh)
![b = 18m](https://tex.z-dn.net/?f=b%20%3D%2018m)
![h = 30m](https://tex.z-dn.net/?f=h%20%3D%2030m)
Required
Solve for A
Simply substitute 18 for b and 30 for h
![A = \frac{1}{2}bh](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh)
![A = \frac{1}{2} * 18 * 30](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%2018%20%2A%2030)
![A = 270](https://tex.z-dn.net/?f=A%20%3D%20270)
Hence:
The area is
![Area = 270m^2](https://tex.z-dn.net/?f=Area%20%3D%20270m%5E2)