Reyna has 7 coins worth 5 cents each and 3 coins worth 10 cents each.
If she chooses two of these coins at random, what is the probability
that the two coins together will be worth at least 15 cents?

Answers

Answer 1

Answer:

1/5

Step-by-step explanation:

because there is 10 coins and two specific coind you are trying to get and 2/10 simplified is 1/5

Answer 2

The probability that the two randomly selected coins from Reyna's collection will total at least 15 cents is 8/45.

Probability Calculation

To determine the probability that Reyna's two randomly selected coins will total at least 15 cents, we must first calculate the total number of possible outcomes when choosing two coins from the ten that she has (7 nickels and 3 dimes).

Using the combination formula, which is C(n, k) = n! / [k!(n-k)!], we find that the total number of ways to choose 2 coins from 10 is C(10, 2) = 10! / (2!8!) = 45.

The favorable outcomes in this scenario are cases where Reyna picks either two dimes or one nickel and one dime. There is only one way to pick two dimes, and there are 7 ways to pick one nickel and one dime (because she could pick any of her 7 nickels along with one of the 3 dimes). So, there are 7 + 1 = 8 favorable outcomes.

The probability of picking coins that total at least 15 cents becomes the number of favorable outcomes divided by the total number of outcomes, which is 8/45.

Therefore, the probability that the two coins together will be worth at least 15 cents is 8/45.


Related Questions

Determine whether the point is on the graph of the equation 2x+3y=8.
(1,2)

Answers

The point [tex](1,2)[/tex] is on the graph of the equation.

Explanation:

The equation is [tex]2x+3y=8[/tex]

We need to determine the point [tex](1,2)[/tex] is on the graph.

To determine the point [tex](1,2)[/tex] is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point [tex](1,2)[/tex] in the equation [tex]2x+3y=8[/tex], we get,

[tex]2(1)+3(2)=8[/tex]

Multiplying the terms within the bracket, we have,

[tex]2+6=8[/tex]

Adding the LHS, we have,

[tex]8=8[/tex]

Thus, both sides of the equation are equal.

Hence, the point [tex](1,2)[/tex] is on the graph of the equation [tex]2x+3y=8[/tex]

What is the value of k in the equation?
20k/20^4=20^9

Answers

20k/20⁴=20⁹

20k=20⁴×20⁹=20¹³

k=20¹³/20=20¹²

Answer: k=20¹²

The value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.

To solve for the value of k in the equation (20k)/(20⁴) = 20⁹, we can follow these steps:

1. Simplify both sides of the equation:

(20k)/(20⁴) = 20⁹

So, (20k)/(20⁴) = (20⁴)²

2. Evaluate the exponent on the right side:

(20k)/(20⁴) = 20⁸

3. Multiply both sides by (20⁴) to eliminate the denominator on the left side:

[(20k)/(20⁴)] * (20⁴) = (20⁸) (20⁴)

Simplifying the left side:

20k = 20¹²

4. Divide both sides by 20 to solve for k:

(20k)/20 = (20¹²)/20

k = 20¹² / 20

5. Further simplify the right side:

k = 20¹¹

Therefore, the value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.

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15 POINTS. Pls match and state clearly. :)

Answers

Box and whisker plot - organizes data into four groups...
Line graph- shows frequency of data...

I don’t know the rest but I tried and good luck.

Alicia can paint a small room 21 hours faster than Nina aloneness 4 hours slower than Alicia and Nina together. How long will it take them to paint the room together? Express your answer in decimal form

Answers

Answer:

11.413 Hours.

Step-by-step explanation:

Alicia can paint a house in 21 hours; Which means in 1 hour she can paint 1/24 of the house.

Nina can paint the same house in (21+4)  hours. Which means in 1 hour she can paint 1/25 of the house.

Together in 1 hour they can paint:  1/21 + 1/25 = 46/525 of the house.

Total Hours for painting the house together will be 525/46 = 11.413 Hours.

My teacher assigned 2(3x+4) to my class and I and I’m not quite sure how to solve it because I don’t know and I’m also not quite sure if my friends and classmates know how to solve this problem either

Answers

Answer:

The answer is 6x+4

Step-by-step explanation:

2(3x+4) multiply both constant and variable by the value outside of the parenthesis

and you'll get 6x+4

if you need help then before you look for the answer online be sure to ask your teacher for help so you can understand and want have to look for the answer online

what is the opposite of-5.5

Answers

Answer:

5.5

Step-by-step explanation:

think of a numberline that might help

hope this helps!

5.5 is the opposite of -5.5. Just get rid of the negative sign

Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6?

y = negative 6 x + four-fifths

y = four-fifths x minus 6

y = four-fifths x + 6

y = 6 x + four-fifths

Answers

Answer:

Option B.

Step-by-step explanation:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is a slope and b is y-intercept.

It is given that slope of line is 4/5 and y-intercept is -6.

Substitute m=4/5 and b=-6 in the above formula.

[tex]y=\dfrac{4}{5}x+(-6)[/tex]

[tex]y=\dfrac{4}{5}x-6[/tex]

Hence, the correct option is B.

Allowance $10
Earn $18
Spend $3.28, $7.15, and $9.54
Save?

Answers

Answer:

8.03

Step-by-step explanation:

10+18 = 28

28 - 3.28 - 7.15 - 9.54 = 8.03

Blanca has 3/4 pound of tuna salad. She uses 1/3 of the tuna salad to make sandwiches. How much of the tuna salad did Blanca use?

Answers

Answer:

33.33% or 1/3

Step-by-step explanation:

3/4 = 9/12

1/3 = 4/12

9/12 pounds is the total and 4/12 pounds were used were us

1/12 is equal to 8.333% because 9/12 is the 100%, so, the total tuna salad used was 33.33% = 1/3 of the total.

Brainliest please ;)

Answer:

3/12

Step-by-step explanation:

3/4 x 1/3 = 3/12                                                                                                                         (3x1)  =       3                                                                                                                               (1x3)  =       12  

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7
meters more than the first side. What is the length of each side?​

Answers

Answer:

x=21

y=16

z=28

Step-by-step explanation:

Let

The first side=x

The second side =y

The third side=z

The rest is in the attached file

Answer:

First side (x)[tex]=21m[/tex]

Second side[tex]=x-5=21-5=16m[/tex]

Third side[tex]= x+7=21+7=28m[/tex]

Step-by-step explanation:

Perimeter of the triangle= Sum of all the three sides

Let the First side be [tex]'x'[/tex]

Then, Second side [tex]=x-5[/tex]

Third side= [tex]x+7[/tex]

Perimeter[tex]=65 m[/tex]

Perimeter of the triangle= First side + Second side + Third side

      [tex]65=x+(x-5)+(x+7)\\\\65=x+x+x-5+7\\\\65=3x+2\\\\3x=65-2\\\\3x=63\\\\x=63/3\\\\x=21 m\\\\[/tex]

First side (x)[tex]=21m[/tex]

Second side[tex]=x-5=21-5=16m[/tex]

Third side[tex]= x+7=21+7=28m[/tex]

At the end of a baseball game, the players were given the choice of having a bottle of
water or a box of juice. Of all of the players, 12 chose a bottle of water, which was three-fourths of the total number of players. Write and solve an equation to determine p,
the total number of players at the baseball game.

Answers

Answer:

16 players

12(3/4) = p

Step-by-step explanation:

12/[tex]\frac{3}{4}[/tex] = 16

or 12/3 = 4 x 4 = 16

Answer:16 players

Step-by-step explanation:

b. The area of the playground is one and a half times that of the swimming pool. Fir
the swimming pool and the playground.
Lesson 18:
Relate decimal and fraction multiplication.
©2018 Great Minds eureka-math.org

Answers

Answer:

Step-by-step explanation:The area of the playground is one and a half times that of the swimming pool. Fir

the swimming pool and the playground.

Final answer:

Without more information, we cannot determine the area of the playground and swimming pool.

Explanation:

To find the area of the playground and swimming pool, we need more information such as the dimensions or area of one of the shapes. Without that information, we cannot solve the problem.

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If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

Answers

Answer:

28

Step-by-step explanation:

(k + k)(4)

2k(4)

2[5(4) - 6]

2(14)

28

Everly needs to order stock for her store and wants to order the items that have the greatest probability of having repeat customers. She has to decide between the national brand and the store brand for both cereal and crackers. She has recorded the sale of each type and the probability that a customer bought the same item again. Which should she stock?

Answers

Answer:

B) National Brand Cereal and Store Brand Crackers

Step-by-step explanation:

Since she wants to order the items that have the greatest probability of repeat customers she needs to order the items with the larger probability. That is National Brand Cereal and Store Brand Crackers

Answer:

b

Step-by-step explanation:

joe and Eric have to ship 75 packages. Joe can do the job alone in 5 hours. if Eric helps, they get it done in 4 hours. How long would it take Eric to do the job alone?​

Answers

Eric took 20 hours to do the job alone.

Step-by-step explanation:

Given :

Total work = 75 packagesJoe took 5 hours to complete the total work.

The amount of work Joe alone can do per hour = 75/5 = 15 packages.

The amount of work Joe and Eric together do per hour = 75/4 = 18.75

The amount of work Eric alone can do per hour = 18.75 - 15 = 3.75

The time Eric took to complete the entire work = 75 / 3.75 = 20 hours.

To solve for z, you divide each side of the equation by what number?
3/4z = 15
a. 4/3
b. 3/4
c. 15
d. 4

Answers

B,

you multiply 15 to solve by 4/3.

B is where you actually separate the variable (z) by dividing by 3/4.

Hope this helps!

Answer:

B

Step-by-step explanation:

PLEASE GIVE BRAINLYEST

Susan invests 3 times as much money at 10% as she does at 6%. If her total interest after 1 year is $1800, how much does she have invested at each rate?

Answers

I don’t plz calm yourself down

Susan has $5000 invested at 6% and $15000 invested at 10%.

To solve the problem, let's use algebra to define the amount Susan has invested at each rate. Let the amount invested at 6% be represented by x, and consequently, the amount invested at 10% will be 3x, as it is three times the amount invested at 6%. The total interest from both investments is $1800 after one year.

The interest from the investment at 6% is 0.06x, and the interest from the investment at 10% is 0.10(3x), which is 0.30x. The equation representing the total interest is:

Total Interest = Interest from 6% + Interest from 10%

1800 = 0.06x + 0.30x

Combining like terms gives us:

1800 = 0.36x

Dividing both sides of the equation by 0.36 to solve for x:

x = 1800 / 0.36

x = $5000

This is the amount invested at 6%. The amount invested at 10% is 3 times that, so:

3x = 3 * $5000

3x = $15000

Therefore, Susan has $5000 invested at 6% and $15000 invested at 10%.

Angle x and angle y are complementary. Angle x is supplementary to a 128 degrees angel. What are the measures of angle x and y

Answers

Answer: x is 52 and y is 38.

Step-by-step explanation:

x+128=180

x=52

52+y=90

y=38

Answer: X=128 y=52

Step-by-step explanation:

If x=128 take 180-128=52 and 52=y

7x+5(-6)=-9 solve for x

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

7x+5(-6)=-9

7x-30=-9

7x=21

x=3

Is the relation a function? Yes or No? (4,5),(4,-7), (4,2), (4,0), (4,9)

Answers

Answer:

No, because 4 is repeated in the domain.

Step-by-step explanation:

Answer:

No it's not a function

Step-by-step explanation:

When the domain repeats either once or more, it's never a function

Wha rid the value of n very confused and need help

Answers

Answer:

n = 6

Step-by-step explanation:

Two intersecting chords. The product of the parts of one chord is equal to the product of the parts of the other chord, that is

7(n + 4) = 5(n + 8) ← distribute parenthesis on both sides

7n + 28 = 5n + 40 ( subtract 5n from both sides )

2n + 28 = 40 ( subtract 28 from both sides )

2n = 12 ( divide both sides by 2 )

n = 6

Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month. Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month. How many months will pass before the two friends have the same hair length?

Answers

Answer:

18

Step-by-step explanation:

13 + (⅔)t = 16 + (½)t

(⅔ - ½)t = 3

t/6 = 3

t = 18

10. Write the number 2,049 in
expanded form.

Answers

Step-by-step explanation:

[tex]2049 = 2 \times 1000 + 0 \times 100 + 4 \times 10 + 9 \times 1 \\ = 2000 + 0 + 40 + 9 \\ = 2000 + 40 + 9[/tex]

Answer:

2,000 + 0 + 40 + 9

Explanation:

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits.

Hope this helps

- Amelia The Unknown

Gavin is training for a marathon and varies his workouts from day to day. Gavin ran 10 MPH during Monday's workout and 50% slower during Tuesday's workout. How fast did he run on Tuesday?
MPH

Answers

Gavin ran 5 mph in tuesday

Solution:

Given that,

Gavin ran 10 MPH during Monday's workout

50% slower during Tuesday's workout

Therefore,

Speed in tuesday = 50 % slower than monday

Which means,

Speed in tuesday = 10 - 50 % of 10

Solve the above

[tex]\text{ Speed in tuesday } = 10 - \frac{50}{100} \times 10\\\\\text{ Speed in tuesday } = 10 - 0.5 \times 10\\\\\text{ Speed in tuesday } = 10 - 5\\\\\text{ Speed in tuesday } = 5\\\\[/tex]

Thus, he ran 5 mph in tuesday

If your sisters brother is 12 on his 16th birthday, how many dishes can he fold?
A.) Orange
B.) Closet
C.) Nike
D.) 7

Answers

Answer:

none of them, its actully an ant eater

Step-by-step explanation:


Which TWO linear equations represent perpendicular lines?

y = ½x + 4

x - 3y = -8

y = -2x - 3

y = 2x - 4

Answers

Step-by-step explanation:

[tex]y = \frac{1}{2} x + 4[/tex]

and,

[tex]y = - 2x - 3[/tex]

represents perpendicular lines.

Two lines are perpendicular when product of their slopes = -1

In, y =½x+4

m1 = ½

In y = -2x -3

m2 = -2

Now, m1× m2 = ½× (-2) = -1

what is the solution to the equation 5a^2-44=81

Answers

Answer:

5

Step-by-step explanation:

[tex]5a^{2} -44=81\\5a^{2} -44+44=81+44\\5a^{2} =125\\\frac{5a^{2} }{5} =\frac{125}{5}\\a^2=25\\\sqrt{25} =x=5[/tex]

The price of a t-shirt was $25.45. Lizzy gave the clerk $50. How much change did Lizzy get?

Answers

.You subtract 25.45 and 50.00 which will give u 24.55

So the answer is $24.55.

Answer: $24.55

Step-by-step explanation: subtract $25.45 from $50 and you get $24.55.

The farthest distance a satellite signal can directly reach
is the length of the segment tangent to the curve of Earth's
surface. If the measure of the angle formed by the tangent
satellite signals is 135, what is the measure of the intercepted
satellite
arc on Earth? (The figure is not drawn to scale.)

Answers

Answer:

  45°

Step-by-step explanation:

The sum of interior angles of the quadrilateral that has vertices at the center of the Earth, the two points of tangency, and the satellite is 360°. The angles at the points of tangency are 90°, so the angle at the satellite and the central angle are supplementary.

The arc has a measure of 180° -135° = 45°.

A bag contains 25 cookies there are 15 chocolate chip cookies 7 peanut butter cookies and the rest are oatmeal raisin cookies what is the probability of randomly choosing a chocolate chip or peanut butter cookies from the bag

Answers

Answer:

22

----

25

Step-by-step explanation:

to get the answer you should add up the amount of chocolate chip and peanut butter cookies to get your total and then put it over the total amount of cookies you have

The probability of randomly choosing a chocolate chip or peanut butter cookie from the bag is 22/25 or 0.88 (rounded to two decimal places).

What is probability?

The probability of randomly choosing a chocolate chip or peanut butter cookie can be found by adding the probabilities of choosing a chocolate chip cookie and a peanut butter cookie.

The probability of choosing a chocolate chip cookie is the number of chocolate chip cookies in the bag divided by the total number of cookies:

P(chocolate chip) = 15/25 = 3/5

The probability of choosing a peanut butter cookie is the number of peanut butter cookies in the bag divided by the total number of cookies:

P(peanut butter) = 7/25

So, the probability of choosing a chocolate chip or peanut butter cookie is:

P(chocolate chip or peanut butter) = P(chocolate chip) + P(peanut butter)

P(chocolate chip or peanut butter) = 3/5 + 7/25

P(chocolate chip or peanut butter) = 15/25 + 7/25

P(chocolate chip or peanut butter) = 22/25

Therefore, the probability of randomly choosing a chocolate chip or peanut butter cookie from the bag is 22/25 or 0.88 (rounded to two decimal places).

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