Ask question

Ask question

All categories

Marina CMI [18]

4 years ago

7

terrance finished a word search in 3/4 the time it took frank. Charlotte finished the word search in 2/3 the time it took terren

ce. frank finished the word search in 32 minutes .how long did it take charlotte to finish the word search?

1 answer:

Juliette [100K]4 years ago

5 0

Divide 32 into 3 then just find 2 of the 3rds

You might be interested in

Find the measure x of an angle that is complementary to a 67° angle.

Masteriza [31]

Answer:

23°

Step-by-step explanation:

A complementary angle is 90°, so you can do 90°-67° =23°

7 0

3 years ago

1. Solve the following equations for x:

worty [1.4K]

Answer:

A. X=-12
B. X=102
C. X=44
D. X=15

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3><u>Part A. x-9=-21</u></h3>

<u>First, add by 9 from both sides.</u>

x-9+9=-21+9

<u>Solve.</u>

-21+9=-12

<u>X=-12</u>

<h3><u>Part B. 10+x=112</u></h3>

<u>Switch sides.</u>

x+10=112

<u>Subtract by 10 from both sides.</u>

x+10-10=112-10

<u>Solve.</u>

112-10=102

<u>X=102</u>

<h3><u>Part C. 14=x-30</u></h3>

<u>Switch sides.</u>

x-30=14

<u>Add by 30 from both sides.</u>

x-30+30=14+30

<u>Solve.</u>

<u>x=44</u>

<h3><u>Part D. 12-x=3</u></h3>

<u>Switch sides.</u>

x-12=3

<u>Add by 12 from both sides.</u>

x-12+12=3+12

<u>Solve.</u>

<u />

<u>Add the numbers from left to right.</u>

3+12=15

<u>x=15</u>

<u>Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.</u>

I hope this helps you! Let me know if my answer is wrong or not.

6 0

2 years ago

In a game called taxation and evasion, a player rolls a pair of dice. if on any turn the sum is 7, 11, or 12, the player gets au

bezimeni [28]

The probability that she gets audited no more than 2 times is 0.896482...

As, a pair of dice are rolling here, so the number of total possible outcome = (6×6) = 36

For Sum = 7 , the favorable outcomes are: (1,6) (2,5) (3,4) (4,3) (5,2) and (6,1)

For Sum = 11 , the favorable outcomes are: (5,6) and (6,5)

For Sum = 12 , the favorable outcome is: (6,6)

Probability = (Number of favorable outcomes)÷(Number of total outcomes)

So, $P(7)= \frac{6}{36} =\frac{1}{6}$

$P(11) = \frac{2}{36} = \frac{1}{18}$

$P(12) = \frac{1}{36}$

P( 7 or 11 or 12) = $\frac{1}{6}+\frac{1}{18}+\frac{1}{36} = \frac{6+2+1}{36}=\frac{9}{36} = \frac{1}{4}$

Here the total number of trials = 5 and the probability of getting audited = $\frac{1}{4}$

According the binomial distribution formula:

P(X) = (ⁿCₓ )(P)ˣ (1-P)ⁿ⁻ˣ

where P(X) is the probability of x successes out of n trials

Here, n= 5 and P = 1/4 and we need to find the probability of getting audited no more than 2 times. This means she can gets audited 0, 1 or 2 times.

So,

$P(X=0)+P(X=1) +P(X=2)\\\\= [^5C^0 (\frac{1}{4})^0 (1-\frac{1}{4})^5^-^0 ]+[^5C^1 (\frac{1}{4})^1 (\frac{3}{4})^5^-^1]+[^5C^2 (\frac{1}{4})^2 (\frac{3}{4})^5^-^2]\\\\= (\frac{3}{4})^5+ (5) (\frac{1}{4}) (\frac{3}{4})^4 +(10)(\frac{1}{4})^2 (\frac{3}{4})^3\\\\=0.237304... +0.395507...+0.263671...\\\\ = 0.896482...$

So, the probability that she gets audited no more than 2 times is 0.896482...

5 0

3 years ago

Tell me all the characteristics you can

labwork [276]

4 x 3+2 x 2+ x −7=0 ... 3.3 Find roots (zeroes) of : F(x) = 4x3+2x2+x-7. Polynomial Roots Calculator is a set of methods aimed at finding values of x

5 0

3 years ago

Mr. Profit had a taxable income of $35,000. He figured his tax from the table above.

borishaifa [10]

Solution:

Taxable Income = $ 35,000

As, Taxable income = Gross income - Deductions(Debts,loans,finances)

1. Find his earned income level.

2. Enter the base amount. = $4,386

3. Find the amount over $ 31,850= $3,150

4. Multiply line 3 by 25 % = $787.50

5. Add Lines 2 and 4 = $5,173.50

6. Monthly Withholding = $ 431.13

So,Tax Paid by Mr.Profit= Taxable income-Withholding Allowances = $5,173.50 - $ 431.13= $ 4,742.37

4 0

4 years ago