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.
C because i just took de test
Answer:
if u have any doubts feel free to ask :)
Step-by-step explanation:
Sum of ratio : 9 + 7 + 4 = 20
a)
Adele share :
b)
Barbara share :
Collette share :
c)
$ €
1.125 1
306 x
[cross multiply]
x = €272
Adele receives = €272
d)
Apple Cost
1 kg 2.69
5 kg y
y = 2.69 x 5 = $13.45
Cost of 5kg of apples = $13.45
Cost of 3 kg bananas = 17.56 - 13.45 = $4.11
Banana Cost
3kg 4.11
1 kg z
z = $1.37
Cost per kilogram of banana = $1.37
e) Collette share = $136
Half of it on clothes = (1/2) x 136 = $68
(1/5) of her share on books = (1/5) x 136 = 27.20
Balance amount with her = 136 - 27.20 - 68 = $ 40.80
f(x) = 57 (19)^(x-4)
The domain is the input or x values
what are the allowed x values
we can put in any values of x we want and the function still works
Domain: all real values
The range is the output or the y values
It will always be greater than 0
Range: y> 0 or all positive real numbers
Answer:
4+√55= 11.42
4-√55= -3.42
Step-by-step explanation:
- w² − 8w − 39 = 0
- w²- 2*4w + 16- 55=0
- (w-4)²=55
- w-4=√55 ⇒ w= 4+√55= 11.42
- w-4=- √55 ⇒ w= 4-√55= -3.42
