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3 years ago

Which of the following are true statements?

Mathematics

1 answer:

gulaghasi [49]3 years ago

7 0

Answer:

I would say c and b

Step-by-step explanation:

I would say this because with out the number it would be that same thing and the same eqaution and formation

You might be interested in

What is the slope of (-6, 10) and (0, -5)

Sav [38]

Answer:

$\frac{-15}{6}$

Step-by-step explanation:

$\frac{-5-10}{0-(-6)}$

$\frac{-15}{6}$

6 0

3 years ago

Austin high school had an enrollment of 1428 students in may they graduated 418 students how many students are still enrolled is

Andrej [43]

Answer:

So Number of students still enrolled are 1010 students

Step-by-step explanation:

Given:

Total Enrolled Students = 1428 students

Graduated students = 418 students

To Find:

Students still enrolled = ?

Solution:

Total enrolled students means that the total number of students present in the school at the moment

when the students graduate their name is cut off from enrolled students so graduated students mean that they have left the school

Now

Students still enrolled = Total Enrolled - Graduated

We know the values putting it in

Students still enrolled = 1428 -418

= 1010 students

So Number of students still enrolled are 1010 students

4 0

3 years ago

What is the solution to -2(3 x - 9) + 5 x = -10? -28 -8 8 28

Semenov [28]

Answer: x=28

Step-by-step explanation:−2(3x−9)+5x=−10

(Distribute)

(Combine Like Terms)

Step 2: Subtract 18 from both sides.

Step 3: Divide both sides by -1.

7 0

4 years ago

Read 2 more answers

chef John bought 3 dozen eggs for $16.20 what is the unit price a $10.80 per 2 dozen eggs b $5.40 per 12 eggs c $0.45 per eggs d

Vadim26 [7]

Answer: C ) $0.45 per egg

3 dozen eggs = 36 eggs

Price / Units = Unit Price
$16.20 / 36 = $0.45 per egg

The unit price is the price per unit, in this case the unit is each egg.

6 0

1 year ago

What is the probability mcc will obtain fewer than 20 new clients(to 2 decimals)?

pshichka [43]

Given that West Virginia has one of the highest divorce rates in the nation with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.

$\begin{tabular}
{|c|c|}
x&f(x)\\[1ex]
10&0.05\\
20&0.10\\
30&0.10\\
40&0.20\\
50&0.35\\
60&0.20
\end{tabular}$

Part A:

Is this probability distribution valid?

The sum of f(x) = 0.05 + 0.10 + 0.10 + 0.20 + 0.35 + 0.20 = 1

Since 0 ≤ f(x) ≤ 1, thus the distribution is a valid probability distribution.

Part B:

What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?

The probability that the MCC will obtain more than 30 new clients is given by

$P(x\ \textgreater \ 30)=P(40)+P(50)+P(60)=0.20+0.35+0.20=0.75$

Part C:

What is the probability MCC will obtain fewer than 20 new clients(to 2 decimals)?

The probability that MCC will obtain fewer than 20 new clients is given by

$P(x\ \textless \ 20)=P(10)=0.05$

Part D

Compute the expected value

The expected value is given by

$\Sigma xf(x)=10(0.05)+20(0.1)+30(0.1)+40(0.2)+50(0.35)+60(0.2) \\ \\ =0.5+2+3+8+17.5+12=43$

Part 5:

The variance is given by

$Var(x)=\Sigma(x-E(x))^2f(x) \\ \\ =(10-43)^2(0.05)+(20-43)^2(0.1)+(30-43)^2(0.1)+(40-43)^2(0.2) \\ +(50-43)^2(0.35)+(60-43)^2(0.2) \\ \\ =(-33)^2(0.05)+(-23)^2(0.1)+(-13)^2(0.1)+(-3)^2(0.2)+(7)^2(0.35) \\ +(17)^2(0.2) \\ \\ =1089(0.05)+529(0.1)+169(0.1)+9(0.2)+49(0.35)+289(0.2) \\ \\ =54.45+52.9+16.9+1.8+17.15+57.8=201$

7 0

4 years ago