8-3x=5*2
8-3x=10
-3x=10-8
-3x=2
x=-2/3
You would add the fabric price, the craft glue and paper price. then you subtract your total from the $16.95.
For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.
So number of combinations is 10*9*9*9*9 = <span>65610</span>
Answer:
a) H0 : u = 28.5%
H1 : u < 28.5%
b) critical value = - 1.645
c) test statistic Z= - 1.41
d) Fail to reject H0
e) There is not enough evidence to support the professor's claim.
Step-by-step explanation:
Given:
P = 28.5% ≈ 0.285
X = 210
n = 800
Level of significance = 0.05
a) The null and alternative hypotheses are:
H0 : u = 28.5%
H1 : u < 28.5%
b) Given a 0.05 significance level.
This is a left tailed test.
The critical value =
The critical value = -1.645
c) Calculating the test statistic, we have:


Z = -1.41
d) Decision:
We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645
e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.