Step-by-step explanation:
well, the first solution that comes to my mind is :
8/4 + 5/1 = 7/1
2 + 5 = 7
the reason : the only numerator I can "cut" into integer pieces is 8.
5 and 7 are prime numbers.
so, it tried to keep 5 and 7 whole, and then add a part of 8 to make this equation true. and that worked right away.
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.
Answer: a=4
b=1600x
Step-by-step explanation:
Formula:
a^2+b^2=c^2
c^2: Is the hypotenuse.
For a^2 and b^2, you have to multiply both it by its self.
Then, add both.
Next, you square root it.
Example:
a^2+b^2=c^2
14^2+7^2=c^2
196+49=c^2
245=c^2
15.64=c^2
Answer:1/30 page per minute
Step-by-step explanation:
2 1/2 pages =3/2 pages.
3/4 hrs=45 minutes
Hence the number pages he can type per minute =3/2 pages/45 minutes=3/2×1/45=1/30page per minute