X - 3 = 7
add 3 to both sides
x - 3 + 3 = 7 + 3
x = 10
addition property of equality
Answer: a) z=1.43
b) 0.1528
Step-by-step explanation:
The given set of hypothesis :
Since the alternative hypothesis 
is two-tailed , so we perform two-tailed test.
Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.
Sample proportion: 
a) The z-statistic would be :-
b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)
=2P(z>1.43)
=2(1-P(z≤1.43)
=2-2P(z≤1.43)
= 2-2(0.9236)[Using standard z-table]
= 2-1.8472=0.1528
Hence, the P-value of the test= 0.1528
Answer: The radius of the ball is 7 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a sphere: 4 π r^2
Replacing with the value given:
615.75 = 4 π r^2
Solving for r (radius):
615.75 /4π= r^2
√(615.75 /4π) =r
r = 6.99 = 7m (rounded)
The radius of the ball is 7 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R
Step-by-step explanation:
4x-6y=-26
-2x+3y-13
4x-6y=-26
x=-13/2+3/2y
4(-13/2+3/2y) - 6y=-26
y in mathbb R
x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb
