Write a conditional statement for a following Venn diagram

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me

zimovet [89]

Answer:

Option D) $275

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $235

Standard Deviation, σ = $20

We are given that the distribution of amount of money spent by students is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.975

$P( X < x) = P( z < \displaystyle\frac{x - 235}{20})=0.975$

Calculation the value from standard normal z table, we have,

$P( z < 1.960) = 0.975$

$\displaystyle\frac{x - 235}{20} = 1.960\\x =274.2 \approx 275$

Approximately 97.5% of the students spent below $275 on textbook.

7 0

3 years ago

How can you write 9.85 in expanded form?

s2008m [1.1K]

Expanded form: 9.0+0.80+0.05

6 0

3 years ago

Read 2 more answers

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$