Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula for z -score :
a) Sample size = 1
For x= 63 in. ,
The p-value = 
Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,
The p-value = 
Thus , the probability that they have a mean height less than 63 in =0.9772.
Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
The possibility is 1/4, with 1 representing both coins tails up, and the 4 representing all the outcomes possible.
Step-by-step explanation:
2/3 of 24 is:
24 divided by 3= 8
8+8=16
answer is 16
Minus the 21 from the other side of the equation making it 7x=-21 then u divide the 7 from the x to the -21 resulting in x=-3
