In a cup of 16 pens, 3 are green, 9 are blue, 1 is black, and the rest are red. if a pan is selected at random, what is the probability that it is green or red?
A. 5/8
B. 1/4
C. 3/8
D. 3/4​

Answers

Answer 1

Answer:

3/8

Step-by-step explanation:

If you add the values 3 green pens plus 3 red pens you get 6 which makes the fraction 6/16 then you simplify and get 3/8

Answer 2

Answer:

3/8

Step-by-step explanation:

16-1-9 = 6

6/16 = 3/8


Related Questions

Solve for w. 7(-2w + 3) = 1 - 4w
what is the value of w? ​

Answers

Answer:

w=2

Step-by-step explanation:

-14w + 21 = 1 - 4w

-10w + 21 = 1

-10w = -20

w = -20/-10

w=2

Answer:

20 - 10 W = 0

-7 (2w - 3) = 1 - 4w

21 - 14w = 1 - 4 w

w = 2

HOPE THIS HELPS <3 :) HAVE A NICE DAY

how does the digit 5 in the number 357 compare with the digit 5 in number 465

Answers

Answer:

The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place

Step-by-step explanation:

Good luck

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If I had to find the perimeter of triangle, I would:

Group of answer choices

take the square root of the hypotenuse

multiply all sides together

Add all three side measures together

apply the formula for circumference

Answers

Answer:

Add all three side measures together

Step-by-step explanation:

That is how you find the perimeter of most shapes.

Hope this helps! :)

Answer:

add all three aide measures together. I'm not sure but I'd someone give another answer go with it. have a nice day

What is the solution to the equation 4x + 2(x − 2) = 4x + x − 12? (1 point)

Question 13 options:

1)

−8

2)

−1

3)

1

4)

8

Answers

Answer:

It's   -8

Step-by-step explanation:

DISTRIBUTE :

4x + 2( x - 2 ) = 4x + x - 12

4x + 2x - 4 = 4x + x - 12

COMBINE LIKE TERMS :

4x + 2x - 4 = 4x + x - 12

6x - 4 = 4x + x - 12

COMBINE LIKE TERMS :

6x - 4 = 4x + x - 12

6x - 4 = 5x - 12

ADD 4 TO BOTH SIDES :

6x - 4 = 5x - 12

6x - 4 + 4 = 5x - 12 + 4

ADD THE NUMBERS/ SIMPLIFY :

6x = 5x - 8

SUBTRACT 5x FROM BOTH SIDES :

6x = 5x - 8

6x - 5x = 5x - 8 - 5x

SIMPLIFY :

x = -8

Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39

Answers

Step-by-step explanation:

Any answer that involes,

Step 1: Complete the Square

[tex] {x}^{2} - 10x = 39[/tex]

[tex]( \frac{ - 10}{2} ) {}^{2} = 25[/tex]

[tex] {x}^{2} - 10x + 25 = 64[/tex]

Step 2: Turn the left side into a binomial

[tex](x - 5) {}^{2} = 64[/tex]

Step 3: Solve for x.

[tex]x - 5 = + - 8[/tex]

[tex]x - 5 = 8[/tex]

[tex]x = 13[/tex]

OR

[tex]x - 5 = - 8[/tex]

[tex]x = - 3[/tex]

X=-3 or X=13

This one is the one I need help with my final question

Answers

Answer:

vertex C could be at (6,0) or (2,8)

(I'm sorry if I'm wrong, but if not I hope this helps!)

Step-by-step explanation:

vertex C needs to be placed somewhere on the graph where it would form a right angle (and therefore a right-angled triangle as well). vertex C could be at (6,0) or (2,8). this is because at these two points vertex C will form a right angle, therefore making it a right-angled triangle.

ooooooof i need some help; please explain

Answers

Answer:

just say i did it and that it got undone

Step-by-step explanation:

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Answers

77 percent is the correct answer

What is the solution of the equation 4 1/5 + x = 4 3/5

Answers

[tex]4 \frac{1}{5} + x = 4 \frac{3}{5} \\ \\ x = 4 \frac{3}{5} - 4 \frac{1}{2} \\ \\ x = \frac{2}{5} [/tex]

I need help with this due today

Answers

Answer: P-22 A-30

P=28 A-28

P=12 A=9

P=18 A=18

Step-by-step explanation:

1. Side lengths are 5,6,5,6- perimeter is 22 Area is 5*6= 30

2. Side lengths are 10,4,4,2,6,2- perimeter is 28 Area can be found by finding the area of the whole region (4*10) and subtracting the missing piece (2*6) so 40-12=28

3. sides are all 3- perimeter is 3*4= 12 and area is 3*3=9

4. sides are 6,3,6,3- perimeter is 18 and area is 3*6=18

A marketing research firm believes that more than half of adults drink mostly either regular or diet soda. To test this claim, Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda. The test statistics for the above hypthesis test for the proportion of adults who drink mostly either regular or diet soda is:________. (Round your answer to two decimal places)

Answers

Answer:

The test statistic is z = -2.82.

Step-by-step explanation:

A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.

This means that the null hypothesis is: [tex]H_{0} = 0.5[/tex]

The alternate hypothesis is: [tex]H_{a} > 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 tested at the null hypothesis:

This means that:

[tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.

This means that [tex]n = 2027, X = \frac{950}{2027} = 0.4687[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}[/tex]

[tex]z = -2.82[/tex]

The test statistic is z = -2.82.

A rocket is launched from a tower. The height of the rocket, y in feet, is rel
time after launch, x in seconds, by the given equation. Using this equation
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x² + 147x + 80

Answers

9514 1404 393

Answer:

  9.70 seconds

Step-by-step explanation:

The zero of the equation can be found using the quadratic formula.

  ax² +bx +c = 0

  x = (-b ±√(b² -4ac))/(2a)

We are only interested in the positive value of x, so this will be ...

  x = (-147 -√(147² -4(-16)(80)))/(2(-16)) = (147 +√2679)/32

  x ≈ 9.7028 ≈ 9.70 . . . . seconds

The rocket will hit the ground after about 9.70 seconds.

A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t.

Answers

Answer:

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = [tex]\frac{d}{dt} A(t)[/tex]

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) ([tex]\frac{A(t)}{400 - 4t)}[/tex]

                                                             = 12 - [tex]\frac{2A(t)}{100 - t)}[/tex]

⇒[tex]\frac{d}{dt} A(t)[/tex] + [tex]\frac{2A(t)}{100 - t)}[/tex] = 12

Now,

Integrating Factor, I.F = [tex]e^{\int {\frac{2}{100 - t} } \, dt }[/tex]

                                    = [tex]e^{-2ln(100 - t)}[/tex]

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = [tex]12(100 - t)+ C(100 - t)^{2}[/tex]

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - [tex]\frac{12}{100}[/tex] (100 - t)²

     = 12(100 - t) [ 1 - [tex]\frac{100 - t}{100}[/tex] ]

     = 12(100 - t) ([tex]\frac{t}{100}[/tex])

     = [tex]\frac{3t(100 - t)}{25}[/tex]

⇒A(t) = [tex]\frac{3t(100 - t)}{25}[/tex]

∴ we get

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Help please plzzzzzzzz

Answers

Answer:

60

Step-by-step explanation:

120 + 90 + 90 + 60 = 360

Write a equation that can be used to find y, the number of gallons water used for showering for x minuets

Answers

Answer:

y = 6x

Step-by-step explanation:

To write an equation, find the unit rate or constant of proportionality (k).

Using a point on the line, (3, 18):

Constant of proportionality, k = y/x = 18/3

k = 6

To write an equation, substitute k = 6 into y = kx.

Thus:

y = 6x

3 x 3 x 3 x 3 x 3 x 3 as an exponential notation

Answers

Answer:

3^6

Step-by-step explanation:

Answer:

3^6

Count how many threes there are and that's the exponent

The sum of seven and x

Answers

Answer:

Step-by-step explanation:

s=7+x

15a > 75. Substitute 5 for a. PLEASE HELP

Answers

Answer:

its equal

Step-by-step explanation:

15 times 5 (a) is 75 soooo 75 is equal to 75 maybe

please answer the following questions!

Answers

Answer:

3 cm cube: 27

6 cm cube: 216

Step-by-step explanation:

First, you would need to find the volume of the 3 cm cube: 3*3*3=27

To build this cube you would need 27 1 cm cubes

For the 6 cm side cube you would need to do 6*6*6=216

So you would need 216 1 cm cubes

Hope this helps!

In ΔDEF, the measure of ∠F=90°, FD = 78 feet, and EF = 11 feet. Find the measure of ∠D to the nearest tenth of a degree.In ΔDEF, the measure of ∠F=90°, FD = 78 feet, and EF = 11 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answers

Answer:

8 degrees

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

HELP WILL MARK BRAINLIEST IF RIGHT!!!

Answers

Answer:

im so sorry bt I dont know this one

Step-by-step explanation:

Steve watched television for 3/4 hour on Monday and 5/6 hour on Tuesday. How much longer did he watch television on Tuesday than on Monday?

_______ hour

Answers

1/12 is the answer.

Explain why (x+1)(3x-6) is NOT a complete factorization of 3x^2-3x-6

Answers

Answer:

The real answer is:

3x^2 -6x+3x-6

Step-by-step explanation:

a = 3 and c = 12 c/a =

Answers

Answer:

4, because 12/3 is 4 cause 3×4=12

Answer: 4

Step-by-step explanation: you need to divide 12 and 3 to get 4.

x-8=17

plssssss help me

Answers

Answer:

25

Step-by-step explanation:

17+8

x -8 = 17
x = 17+8
x = 25

do anybody know how to help me cause i really need it right now.

Answers

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area is made up of four triangles and a square base, so the area is four times the area of the triangle plus the area of the base.

A=4(5)(6)/2+5(5)

A=60+25

A=85

Find the area of the polygon.

Answers

The answer is 17.5

The line segment going through the polygon mean half of the area so you take 5 and 7 multiply that and divide it by 2

what property of equality is used to isolate the term with variable in the equation 2 x + 2 = 4?
A. Addition property
B. Reflexive property
C. Multiplication property
D. Transitive property
(it will help me a lot)​

Answers

Answer:

I think it is addition property

Addition property (A)

A veterinarian sampled 235 sheep from a large herd to obtain a 90% confidence interval for the mean weight of wool from the sheep. The interval was (23.7 lbs., 33.6 lbs.). If the veterinarian had used a 95% confidence interval instead, the confidence interval would be:_____.A. Wider and would have a smaller chance of missing the true mean. B. Narrower and would have a larger chance of missing the true mean. C. Narrower and would have a smaller chance of missing the true mean. D. Wider and would have a larger chance of missing the true mean. E. Wider but the chance of missing the true mean cannot be determined.

Answers

Answer:

A. Wider and would have a smaller chance of missing the true mean.

Step-by-step explanation:

Margin of error for a confidence interval:

The margin of error for a confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level, the higher the value of z), [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

95% confidence interval

Would be wider than the 90% confidence interval, due to the higher value of z.

Also, a x% confidence interval has a x% chance of having the true mean, and a (100-x)% probability of missing the true mean.

Then, a 95% confidence interval has a smaller(5%) chance of missing the true mean compared to the 90% confidence interval(10%). This means that the correct answer is given by option A.

May someone pls help me with this question

Answers

Answer:

Step-by-step explanation:

P(BorL)=(2/8)+(1/8)=(3/8)

He is expected to wear boots or loafers in the next 264 days

264(3/8)=99 of those days

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