Answer:
In terms of π, the area of the shaded sector is 108πin²
Step-by-step explanation:
Area of the shaded sector, which is the major sector=x°/360(πr²)
A=270/360×π×(12in)²
A=¾π×144in²
A=108πin²( in terms of π)
From the information given, a right-tailed test using the z-distribution is appropriate.
At the null hypothesis, it is <u>tested if the class of statistics students is not significantly smarter than the general population</u>, that is, their mean IQ is of at most 100, hence:
At the alternative hypothesis, it is <u>tested if they are significantly smarter</u>, that is, their mean IQ is greater than 100, hence:
- We are testing if the mean is <u>greater than a value</u>, hence it is a right-tailed test.
- We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.
A similar problem is given at brainly.com/question/23413408
Answer:
3 years
Step-by-step explanation:
In this problem, the initial number of students at time t = 0 is
We know that the number of students increases by 5 % every year. This means that we can write the student's population as
where
t is the time, measured in years
Here we want to find after how many years t the student's population will exceed the maximum capacity of the school, which is
N = 1100
To solve the problem, we just put n = 1100 and we solve for t. We find:
Which means that the student's population reaches the maximum capacity of the school after 2.37 years. Since we want this number to be an integer, this means that the enrollment will exceed the capacity in 3 years.
Answer:
1.73
Step-by-step explanation:
A=s*s
s=√A
√3
=1.73
Answer:
The power (or exponent) of a number says how many times to use the number in a multiplication.
It is written as a small number to the right and above the base number.
In this example the little "2" says to use 8 two times in a multiplication:
= 8 × 8 = 64
Step-by-step explanation: