The probability of two candidates A and B passing an exam are 2/3 and 3/4 respectively find the probability only one will pass at least one will pass

Answer:

511.44 ft^2

966 cm^2

50.88 mm^2

Step-by-step explanation:

6. 196π-13x8=511.44

7. (20+20+12+12)20-100π=966

8. 15x8-1/2(16π)-4x11=50.88

Answer:

$6,482.30

Step-by-step explanation:

150 x 40 (hours per week) = $6,000

6,890 x .07 = $482.30

6,000 + 482.30 = $6,482.30

Answer:

c po

Step-by-step explanation:

kasi between 5 days and 7 days in recovery

Answer: 2,3,6,7

Step-by-step explanation: I took the test

The statements are true about their balances, is 2,3,6,7 are the correct statement about Rick and Julian balance.

We have given that, Rick put his $200 into a simple interest account at 3.25% interest.

Julian put his $200 into a compound interest account that gives 3% interest compounded annually.

The table below shows their yearly balance after interest has been applied.

The Balance makes personal finance easy to understand. It is home to experts who provide clear, practical advice on managing your money.

Balance   Rick   Julian

deposit    200       200

Year    1 206.50 206.00

Year 2   213.00    212.18

Year 3 219.50   218.55

Year 4   226.00   225.11

Year 5   232.50  231.85

Year 6  239.00   238.81

Year 7  245.50   245.97

Year 8   252.00   253.35

Year 9   258.50   260.95

Year 10   265.00   268.78

We have to determine Which statements are true about their balances.

Statement 2,3,6,7 are true statements about their balances.

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Answer:

P = -6

Step-by-step explanation:

Step 1: Write equation

3P + 6 = -12

Step 2: Solve for P

Step 3: Check

Plug in P to verify it's a solution.

3(-6) + 6 = -12

-18 + 6 = -12

-12 = -12

Answer:

-5

Step-by-step explanation:

f (x) = 4 - x^2

f (-3)= 4 - (-3)^2

= 4 -(9)

= -5

Answer:

-5

Step-by-step explanation:

f(-3) =4-(-3)^2

=4-9

= -5

Answer:

3

Step-by-step explanation:

3 because their is a rule which states: 1-4 stay on the floor 5-9 climb up the vine this means if it is 4 or less than round down and if it is 5 or more round up

the roots are - 5 ; 9 and - 1

Answer:

m=undefined

Step-by-step explanation:

(x1,y1)=(4,−3)

(x2,y2)=(4,7)

m=y2−y1/x2−x1

=7−−3/4−4

=10/0

=1/0

=undefined

Area of base:-

Now

Volume:-

Answer:

the answer is 54 that person is correct i just took the quiz and got 100% to

Step-by-step explanation:

Answer:

540

Step-by-step explanation:

10% of 600 is 60, 600-60 is 540

The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Base salary = $600

10% of $600 = (10/100) x 600 = $60

Net salary = $600 - $60 = $540

Hence "The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.".

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Number of distinct products that can be formed is 144

Since we need to multiply two different integers to be selected from the set which contains a total of 12 integers. This is a permutation problem since we require distinct integers.

Now, for the first integer to be selected for the product, since we have 12 integers, it is to be arranged in 1 way. So, the permutation is ¹²P₁ = 12

For the second integer, we also have 12 integers to choose from to be arranged in 1 way. So, the permutation is ¹²P₁  = 12.

So, the number of distinct products that can be formed from these two integers are ¹²P₁ × ¹²P₁ = 12 × 12 = 144

So, the number of distinct products that can be formed is 144

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Answer:

length = 88 cm

Step-by-step explanation:

Area of a rectangle = width × length

Given:

Substituting these values into the equation:

⇒ 6600 = 75 × length

⇒ length = 6600 ÷ 75 = 88 cm

Length be L

[tex]\\ \rm\rightarrowtail area=6600[/tex]

[tex]\\ \rm\rightarrowtail 75L=6600[/tex]

[tex]\\ \rm\rightarrowtail L=6600/75[/tex]

[tex]\\ \rm\rightarrowtail L=88cm[/tex]

Answer:

112.8

Step-by-step explanation:

to round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8  , so 112.786 rounded to the nearest tenth =112.8

The value of the given expression is 112.8.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

To round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal to or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8, so 112.786 rounded to the nearest tenth =112.8

Therefore the value of the given expression is 112.8.

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Answer:

500 grams is 20 percent of 2.5 kg

Step-by-step explanation:

500*100 = 50,000

50,000/2500=20

500 g is the 20% of 2.5kg.

The percentage is a ratio of number as a fraction over 100.

According to the given question

we have to find the percentage of 2.5 kg

since, 500g = [tex]\frac{500}{1000}[/tex] = 0.5kg

The percentage of a quantity x is given by

percentage = [tex]\frac{Q}{value}[/tex]×100

Substitute, Q = 0.5kg and value = 2.5kg in the above formula

⇒ percentage = [tex]\frac{0.5}{2.5}[/tex]× 100 = 20%

Hence, 500g is the 20% 0f 2.5g.

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Answer:

24.775 / 1 or 24775 / 1000

Step-by-step explanation:

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 24.775, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:  

24775/100

You would use the ratio to solve this problem.

12:15=4:5

Since the ratio of expected numbers of games they would win to the total number of games they will play is equal to the ratio of number of games they won to the total number of games they played, the answer would be YES.

Answer: 3/8

Step-by-step explanation:

i think it’s 3/8 because I’m also working on this one and it adds up to 3/8 because as you see there is 3 sections. (I’m not good at explaining so I added a photo)

Answer:

3/8

Step-by-step explanation:

me  class  said so

Answer:

5/4

Step-by-step explanation:

[tex] \frac{10}{12} \div \frac{4}{6} \\ \\ = \frac{10}{12} \times \frac{6}{4} \\ \\ = \frac{5}{2} \times \frac{1}{2} \\ \\ = \frac{5}{4} [/tex]

One way to make it easier to multiply, pick a number from a multiplication problem. Then, add the amount of times of the other number.

Example:

6 x 8 = ?

8 = Chosen Number

So, add 8, 6 times.

8 + 8 + 8 + 8 + 8 + 8 = ?

? = 48

Which, 6 x 8 does equal 48.

Answer:

78.54 yd squared

Step-by-step explanation:

3.14(2.5^2)4

3.14(6.25)4

(19.625)4

78.54

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The surface area of the globetrotters must work with is 283.4 square inches

The formula for calculating the surface area of a sphere is expressed as:

S = 4πr²

where r is the radius of the sphere

Given that

d = 9.5in

r = 4.75in

Substitute the given parameters into the formula

S = 4π(4.75)²

S = 283.385 square inches

The surface area of the globetrotters must work with is 283.4 square inches

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Answer:

[tex]y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]

Step-by-step explanation:

[tex]y''+y'-2y=x^2,\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{x^2\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{2}{s^3}\\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{2}{s^3}\\ \\(s^2+s-2)Y(s)=\frac{2}{s^3}\\ \\Y(s)=\frac{2}{s^3(s^2+s-2)}\\ \\Y(s)=\frac{2}{s^3(s+2)(s-1)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{2}{s^3(s+2)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s^3}+\frac{D}{s+2}+\frac{E}{s-1}\\\\2=s^2(s+2)(s-1)A+s(s+2)(s-1)B+(s+2)(s-1)C+s^3(s-1)D+s^3(s+2)E\\\\2=s^{4} A + s^{4} D + s^{4} E + s^{3} A + s^{3} B + 2 s^{3} D - s^{3} E - 2 s^{2} A + s^{2} B + s^{2} C - 2 s B + s C - 2 C\\\\2=s^{4} \left(A + D + E\right) + s^{3} \left(A + B + 2 D - E\right) + s^{2} \left(- 2 A + B + C\right) + s \left(- 2 B + C\right) - 2 C[/tex]

Solve for each constant

[tex]\begin{cases} A + D + E = 0\\A + B + 2 D - E = 0\\- 2 A + B + C = 0\\- 2 B + C = 0\\- 2 C = 2 \end{cases}[/tex]

[tex]-2C=2\\C=-1[/tex]

[tex]-2B+C=0\\-2B+(-1)=0\\-2B-1=0\\-2B=1\\B=-\frac{1}{2}[/tex]

[tex]-2A+B+C=0\\-2A+(-\frac{1}{2})+(-1)=0\\-2A-\frac{1}{2}-1=0\\-2A-\frac{3}{2}=0\\-2A=\frac{3}{2}\\ A=-\frac{3}{4}[/tex]

[tex]A+D+E=0\\-\frac{3}{4}+D+E=0\\D+E=\frac{3}{4}\\D=\frac{3}{4}-E[/tex]

[tex]A+B+2D-E=0\\-\frac{3}{4}+(-\frac{1}{2})+2(\frac{3}{4}-E)-E=0\\-\frac{3}{4}-\frac{1}{2}+\frac{3}{2}-2E-E=0\\-\frac{3}{4}+1-3E=0\\\frac{1}{4}-3E=0\\\frac{1}{4}=3E\\\frac{1}{12}=E[/tex]

[tex]D=\frac{3}{4}-E\\D=\frac{3}{4}-\frac{1}{12}\\D=\frac{9}{12}-\frac{1}{12}\\D=\frac{8}{12}\\D=\frac{2}{3}[/tex]

Take the inverse transform and find the solution to the IVP

[tex]Y(s)=\frac{-\frac{3}{4}}{s}+\frac{-\frac{1}{2}}{s^2}+\frac{-1}{s^3}+\frac{\frac{2}{3}}{s+2}+\frac{\frac{1}{12}}{s-1}\\ \\y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]

Answer:

204.95

Step-by-step explanation:

42.75x4=171

171+52.45=223.45

223.45-18.5=204.95

Step-by-step explanation:

Dan made an error in step 2 he added the 18.50 instead of subtracting. it should be 171+52.45= 223.45  223.45-18.50 = 204.95

Answer:

B

Step-by-step explanation:

Reflects over x axis then translates down and left.

Answer:

(- 21, - 13 )

Step-by-step explanation:

- 3y + x = 18 → (1)

x = 2y + 5 → (2)

substitute x = 2y + 5 into (1)

- 3y + 2y + 5 = 18

- y + 5 = 18 ( subtract 5 from both sides )

- y = 13 ( multiply both sides by - 1 )

y = 13

substitute y = - 13 into (2)

x = 2(- 13) + 5 = - 26 + 5 = - 21

solution is (- 21, - 13 )