Answer:
0.242
Step-by-step explanation:
p = 0.08, q = 1 − p = 0.92, and n = 1000.
The mean and standard deviation are:
μ = p = 0.08
σ = √(pq/n) = 0.00858
The z score is:
z = (x − μ) / σ = -0.70
Using a calculator or z score table, the probability is:
P(Z < -0.70) = 0.242
Answer:
D. (x - 2)(x + 2)
Step-by-step explanation:
Look at the graph, when y = 0, x = - 2 and x = 2, vertex = -4
OK so x = -2 means x + 2 = 0
and x = 2, means x - 2 = 0
So
answer :D. (x - 2)(x + 2)
The best apporximation for the volume of this ball is 382 cubic inches.
<h3>What is the volume of the ball?</h3>
The volume of the ball is calculated by the formula V = 4 / 3πr³. This formula is the same in the whole world.
Given
A regulation basketball has a diameter of about 9 in.
The radius of the ball is;
The volume of the ball is;
Hence, the best apporximation for the volume of this ball is 382 cubic inches.
To know more about volume click the link given below.
brainly.com/question/10647788
Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%
Answer:
<h3>
x=144</h3>
Step-by-step explanation:
h²=65²-25²=4225-625=3600
h²=x*25
x=h²:25
x=3600:25
<h3>
x=144</h3>
