A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny

Answers

Answer 1

Missing Details

Quarters  ≡ Dimes ≡  Nickels ≡  Pennies

23             ≡   29      ≡  17           ≡  38

Answer:

[tex]P(Q\ or\ P) = 0.5701[/tex]

Step-by-step explanation:

Given

[tex]Quarters = 23[/tex]

[tex]Dimes = 29[/tex]

[tex]Nickels = 17[/tex]

[tex]Pennies = 38[/tex]

First, we calculate total number of coins

[tex]Total = 23 + 29 + 17 + 38[/tex]

[tex]Total = 107[/tex]

The probability of obtaining quarter (Q) of penny (P) is:

[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]

[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]

Take LCM

[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]

[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]

[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]

[tex]P(Q\ or\ P) = 0.5701[/tex]


Related Questions

work out the size of angle x 101 degrees and 38 degrees​

Answers

Answer:

the inside angle beside 101 is 180-101 = 79 degrees.

the angle beside x = 180-(79+38).

that is 63 degrees.

therefore the angle x = 180-63 that's

117 degrees

Solve for x:
X х+ 9 = 5x — 11

Answers

Answer:

5

Step-by-step explanation:

   x+9-(5*x-11)=0

  -4x + 20  =   -4 • (x - 5)

  -4   =  0

x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

if the mean of the numbers 2x,3x,4x and 3x is 12,then the sum of the numbers is?
a)4
b)12
c)48
d)80​

Answers

Answer:

C. 48.

Step-by-step explanation:

If the mean is 12, then 12 must be 2x, 3x, 4x, and 3x divided by 4.

      --> [tex]\frac{2x+3x+4x+3x}{4}=12[/tex]

      --> [tex]\frac{12x}{4}=12[/tex]

      --> [tex]\\3x=12[/tex]

      --> x=4

Add: 2x+3x+4x+3x=8+12+16+12=48

N - 5 x4 pls hellpppo

Answers

Answer:

n-20 is your answer ☺️☺️☺️

Answer:

N-20 is the answer if your trying to simplify it, if not comment on this answer and ill try to help

Step-by-step explanation:

2
Which of the following graphs represents a direct variation?
А
С
2
-4
-2
2
4
-2
2
-2
4
B
D
y
2
2
-2
2
4
2
4
-2
-2

Answers

Answer:

C & D

Step-by-step explanation:

Evaluate the function f(x)=x+4 when x=3​

Answers

Answer:

f(3) = 7

Step-by-step explanation:

f(3) = 3+4

f(3) = 7

simplify the expression -2d + -2d - 9 + -9

Answers

Answer:

-4d-18

Step-by-step explanation:

Combine like terms:

-2d and -2d can combine since they have the same variable of d creating the term of -4d and -9 and -9 can combine to create -18. Put those together and you get the answer above.

Answer:

-4d-18

Step-by-step explanation:

Help plsss my teacher didn’t even teach me this

Answers

Answer:

D

Step-by-step explanation:

bro this is super easy

help I don't understand

Answers

Since all the triangles = 180 you just have add the angles you do have together then subtract by 180. The missing side of trangle a =39 and the missing side of b is 79.6

A drawing has a scale of 1 : 40
On the drawing, a kitchen is a rectangle measuring 14cm by 22cm.
A bedroom has an actual area of 500,000 cm ^2.
How much smaller,in cm^2 is the kitchen than the bedroom ?

Answers

Answer:

do you maybe have a picture to go with this??

A rectangular prism has a length of 14ft, a height of 8ft, and a width of 15ft. What is
its volume, in cubic ft?

Answers

Answer:

37

Step-by-step explanation:

14 + 8 + 15

Answer: 1680³

Step-by-step explanation:

length x width x height

14 x 15 x 8

can you help me on a papper

Answers

Answer:what do you need help with

Step-by-step explanation:

what do you need help with?
i might be able to help!!

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Oh okie so I can see you in church ⛪️ and then I

Answer:

30

Step-by-step explanation:

Find the equation of the line with slope m=1 that contains the point (1,2)

Answers

Answer:

y = x + 1

Step-by-step explanation:

We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)

Where m is the slope and (x1 y1) is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

( y - 2 ) = 1 ( x - 1 )

We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b

y - 2 = 1x - 1

y = 1x - 1 + 2

y = 1x + 1 or y = x + 1 * are just the same.

The equation of the line is y = x + 1.

What is a slope?

The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1

And (x₁ ,y₁)  =  (1,2)

then the equation of line is

y - y₁ = m (x - x₁)

y - 2 = (x -1)

y = x + 1

Therefore, the equation is y = x + 1.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the
course of a day. You also notice that for every $0.10 you decrease the price by, you sell 3 more cups over
the course of the day. Come up with a linear equation to model this situation.

Answers

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

What is the interquartile in the dot plot for Mrs. Orlando’s daycare? i need thisssss!!

Answers

11, by subtracting 17-6

what is the shape and direction of f(x)=(x+7)(x+11)

Answers

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

You know that a rope is no more than 100 feet long. You need to cut the rope into three pieces the second piece is to be three times as long as the first piece, and the third piece must be 18 feet long. What is the maximum length of the second piece?

Answers

Answer:

hi

Step-by-step explanation:

The rope is originally 100 ft. long. The first piece is 32 ft., leaving 100–32, or 68 ft.

Let n be the second piece, and n-30 be the third piece. Then:

n+n-30=68

2n=98

n=49

n-30=19

The second piece is 49 ft. long; the third piece is 19 ft. long ……..

Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)

Answers

Answer:

No, it does not.

Step-by-step explanation:

It's a linear function, with a slope of -3 (down 3 for every new X as you move right)

No, it does not........

Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.

Answers

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

Suppose that you live in a community that has 125,000 households. Among these households, 50,000 have traditional landline telephones while the remaining 75,000 only use cellular and / or VOIP telephones. We are going to select 100 households from your community at random without replacement. The first household selected does not have a traditional landline telephone. What is the probability that the second household selected will have a traditional landline telephone

Answers

Answer:

0.4 = 40% probability that the second household selected will have a traditional landline telephone

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that:

125,000 households

50,000 have traditional landlines telephones.

The first household selected does not have a traditional landline telephone.

Now we have 125000 - 1 = 124,999 households, and 50,000 have traditional landlines telephones.

What is the probability that the second household selected will have a traditional landline telephone

[tex]p = \frac{50000}{124999} = 0.4[/tex]

0.4 = 40% probability that the second household selected will have a traditional landline telephone

How do you simplify 32/48

Answers

Answer:

2/3

Step-by-step explanation:

divide numerator and denominator by 16

32÷16=2

48÷16=3

answer is 2/3

Thus, 2/3 is the simplified fraction for 32/48 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 32/48 by using the prime factorization method.

The math department recently purchased new learning software for their freshman math classes. The instructors want to use the learning software instead of a textbook. So they decide to study the effectiveness of the software. First they test the skills and concept mastery for a number of the freshman math students. Then they randomly divide the students into two groups. One group uses the learning software for a particular lesson and the other group uses the regular textbook. Then the instructors retest all of the students and compare the improvement in the skills and concept mastery for the two groups. What is the purpose of random assignment in this experiment? Check all that apply.

Answers

Options :

A.) To avoid bias

B. To control for confounding variables

C. To produce treatment groups with similar characteristics

D. To generalize the experiment results to all freshman math students

Answer:

To avoid bias

To generalize the experiment results to all freshman math students

Step-by-step explanation:

One of the most common problems with statistical experimental research is the issue posed by bias. Either selection bias or assignment bias. Bias creeps into our experiment when one experimental group is more favored than the other. This means that the strategy employed is not totally random. In the experimetal design explained above, students were randomly assigned to group in other to avoid bias. This random assignment ensures that all samples have equal probability of being assigned to any of the two groups.

Randomized experimental designs also allows for making a good estimate of the population parameter fromnthe sample statistic

The number of siblings a student has and the grades they have in math class.
A.
Positive correlation
B.
Negative correlation
C.
No correlation

Answers

It has no correlation so C.

Use the triangle below to answer the following questions:

Answers

I know only how to solve one, using the Pythagorean theorem, you have to square 45
Which is
45^2 - 25^2 = 1400
Now you multiply 37.42 x 37.42 which gets you 1400.2564


I’m in 8th grade by the way

What is the area of the triangle?
6
2
3

Answers

Answer:

6

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

2² + b² = 3²

4 + b² = 9

5 = b²

2.2 ≈ b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(2 x 2.2)

1/2(4.4)

2.2

Calculate the area of the bigger triangle:

We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.

1/2(bxh)

1/2(2 x 3.8)

1/2(7.6)

3.8

Add both areas to find the area of the largest triangle:

3.8 + 2.2 = 6

if the line 2x+3y=6 is perpendicular to the line ax+4y=3, then a=?​

Answers

Answer:3y=−2x+12

y=(−2x+12)/3

y=-2x/3+4

m=-2/3

perpendicular -1/m=3/2

y=mx+c

y=3/2x+12

2y=3x+12

Step-by-step explanation:

please help me solve this answer

Answers

Answer:it is a

Step-by-step explanation:

because it is only one under 3 miles

Name at least 5 angles for this diagram

Congruent Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles

Answers

Answer and Step-by-step explanation:

Question 3.

Angle HKL is supplementary to Angle HKJ

Angle K is vertical to Angle K

Angle HKL is adjacent to Angle HKL

Angle K is congruent to Angle K

Question 4.

Angle RUS is supplementary with Angle RUV

Angle RUS is vertical to Angle VUW

Angle WUT is adjacent with Angle RUT

Angle RUS is complementary with Angle TUS

Angle WUT is congruent to Angle RUT

Angle WUS is vertical to angle VUR

#teamtrees #PAW (Plant And Water)

[tex]\frac{t}{5} =13[/tex]

Answers

Answer:

t=65

Step-by-step explanation:

[tex] \frac{t}{5} = 13[/tex]

[tex]5 \times \frac{t}{5} = 5 \times 13[/tex]

[tex]t = 65[/tex]

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