Answer:
0.07378
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 65 inches
μ is the population mean= 64.5 inches
σ is the population standard deviation = 2.99
n = 75
z = 65 - 64.5 /2.99/√75
z = 0.5/0.345255461
z = 1.4482
Probability value from Z-Table:
P(x<25) = 0.92622
P(x>25) = 1 - P(x<25)
= 1 - 92622
= 0.07378
The probability that the mean height for the sample is greater than 65 inches is 0.07378
Answer: C) 25
Step-by-step explanation:
x²+10x+ __=16+ __
Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.
Answer:
The probability is 1/3
Step-by-step explanation:
Here, we are interested in calculating the probability that the spinner will land on the yellow section.
Firstly, we need to calculate the total number of sections. That would be = 2 + 3 + 4 + 3 = 12 sections
Now, the probability that the spinner will land on the yellow section = number of yellow sections/total number of sections
There are four yellow sections
Thus, the probability of the spinner falling on a yellow section = 4/12 = 1/3