Answer: 

Step-by-step explanation:
Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .
Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .
Claim : 
We know that the null hypothesis has equal sign.
Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

And the alternative hypothesis must be :-

Hence, the null hypothesis and the alternative hypothesis that we would use for this test :


Answer:(E). 25:2
Step-by-step explanation:
First ratio:
Us : India is 5 : 2
Second ratio
India : British is 5 : 1
multiply(5:2) by 5 and multiply (5:1) by 2 to balance the India stamps.
Therefore now
Us : India is 25 : 10
India : British is 10 : 2
The ratio of us : British is 25:2
Square of longest side = 17^2 = 289
15^2 = 225
13^2 = 169
total 394 289 is less than this so its acute
Answer:
15 kg
Step-by-step explanation:
Radius of a solid sphere : mass of a solid sphere
3 cm : 9 kg
Find the mass of a sphere of the same material of radius 5 cm
Radius of a solid sphere : mass of a solid sphere
5 cm : x kg
Equate both ratios to find x
3 cm : 9 kg = 5 cm : x kg
3/9 = 5/x
3 * x = 9 * 5
3x = 45
x = 45/3
x = 15 kg
The mass of a sphere of the same material of radius 5 cm is 15 kg
Answer:
6
Explanation:
According to secant-secant theorem,
(PB)(PA)=(PD)(PC)
(7)(12)=(PD)(14)
NOW
84/14 = PD
PD = 6