Answer:
16 ounces of clay he need.
Step-by-step explanation:
Given:
Reggie had 2-pound bricks of clay and his job is to give 4 ounces of clay to each student.
There are total 28 students.
Now, to get how much ounces of clay does the each student have first we multiply the number of students to the number of ounces of clay.
Number of students × Number of ounces of clay:
Now, total amount of clay ounces Reggie had= 3×32=96 ounces. (1 pound = 16 ounces, 2 pound = 32 ounces.)
So, the total amount of clay he need is =
=
Therefore, 16 ounces of clay he need.
Taking the square root of both sides gives two possible cases,
or
Recall that
If and , we have
so in the equations above, we can write
Then in the first case,
(where is any integer)
and in the second,
Then the solutions that fall in the interval are
Answer:
a)
b) From the central limit theorem we know that the distribution for the sample mean is given by:
c)
Step-by-step explanation:
Let X the random variable the represent the scores for the test analyzed. We know that:
And we select a sample size of 64.
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Part a
For this case the mean and standard error for the sample mean would be given by:
Part b
From the central limit theorem we know that the distribution for the sample mean is given by:
Part c
For this case we want this probability:
And we can use the z score defined as:
And using this we got:
And using a calculator, excel or the normal standard table we have that:
a repeating decimal is placed over 9's instead of 0's. for example: 0.23 = , but 0.232323... =
a) x = 0.121212
b) 100(x) = 100(0.121212)
100x = 12.1212
c) 100x = 12.1212
- <u> x = 0.1212</u>
99x = 12
x =
d) -2 <em>= -2 when simplified</em>
The number is rational becase it has a repeating decimal