( x + 2 ) ( 3x^

A physical education teacher plans to divide the seventh graders at Wilson middle school into teams of equal size for a year-end

serg [7]

Answer:

• It is possible to divide the seventh graders into teams of equal sizes.

,

• 13 students should be on each team.

Explanation:

The seventh grade of Wilson consists of three classes; one with 28 students, one with 29, and one with 34. Therefore, the total number of students in seventh grade is:

$\text{Total}=28+29+34=91$

He wants each team to have between 4 and 8 students.

$\begin{gathered} \frac{91}{4}\approx22.75 \\ \frac{91}{5}\approx18.2 \\ \frac{91}{6}\approx15.2 \\ \frac{91}{7}\approx13 \\ \frac{91}{8}\approx11.4 \end{gathered}$

Therefore:

• It is possible to divide the seventh graders into teams of equal sizes.

,

• 13 students should be on each team.

8 0

1 year ago

Find the area of a circle with a circumference of 12.56 units

Maru [420]

Step-by-step explanation:

π= 3.14

Given

Circumference = 12.56 units

First calculating radius

so 2πr = 12.56

2 * 3.14 * r = 12.56

6.28 r = 12.56

Therefore r = 2 units

Now calculating Area

Area = πr²

= 3.14 * 2²

= 12.56 square units

3 0

3 years ago

Is 3/8 squared irratonal

givi [52]

the correct answer is yes. 3/8 is the irrational.

step by step explaination: Assuming you meant, then it's irrational. The square root of any Natural Number which is not a perfect square is irrational. 8 is not a perfect square so is irrational.

I am glad to help you!!!!!!!!!!!!

3 0

4 years ago

Trina planted plants in her garden last week. She planted twice as many cucumbers as zucchini and eight more tomatoes than cucum

maxonik [38]

Answer:

7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

Step-by-step explanation:

Let the number of tomatoes=t
Let the number of cucumber planted=c
Let the number of zucchini planted=z
Total Number of Plants=43

She planted twice as many cucumbers as zucchini, this is written as:

c=2z

She also planted eight more tomatoes than cucumbers, this is written as:

t=c+8=2z+8

In total, she planted 43 plants

Therefore:

z+(2z)+(2z+8)=43

5z+8=43

5z=43-8

5z=35

Divide both sides by 5

z=7

Number of Cucumbers, c=2z=2 X 7 =14

Number of Tomatoes, t=c+8=14+8=22

Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.

3 0

3 years ago

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-r

Keith_Richards [23]

Answer:

Part (A) The probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder is 0.286

Part (B) The probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder is 0.163.

Step-by-step explanation:

Consider the provided information.

A study of the US clinical population found that 24.5% are diagnosed with a mental disorder, 14% are diagnosed with an alcohol-related disorder, and 4% are diagnosed with both disorders.

P(M) = P(Mental disorder) = 24.5% = 0.245

P(A) =P(Alcohol-related disorder) = 14% = 0.14

P(M and A) =P(Both disorder) = 4% = 0.04

Part (A) What is the probability that someone from the clinical population is diagnosed with a mental disorder, knowing that the person is diagnosed with an alcohol-related disorder?

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{P(M\ and\ A)}{P(A)}$

$P(\text{Mental disorder}\mid\text{alcohol-related disorder})=\frac{0.04}{0.14}=0.286$

Hence, the required probability is 0.286.

Part (b) What is the probability that someone from the clinical population is diagnosed with an alcohol-related disorder, knowing that the person is diagnosed with a mental disorder.

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{P(M\ and\ A)}{P(M)}$

$P(\text{alcohol-related disorder}\mid\text{Mental disorder})=\frac{0.04}{0.245}=0.163$

Hence, the required probability is 0.163.

8 0

3 years ago

( x + 2 ) ( 3x^ - 4x + 5)