You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.

What is the probability of:

selecting a penny?

selecting a nickel?

not selecting a dime?

selecting a dime or a quarter?

Answers

Answer 1

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

Probability

From the formula for probability,

[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]

Total number of possible outcomes = 30

The probability of selecting a penny

[tex]P(penny) = \frac{8}{30}[/tex]

[tex]P(penny) = \frac{4}{15}[/tex]

The probability of selecting a penny is 4/15

The probability of selecting a nickel

[tex]P(nickel) = \frac{10}{30}[/tex]

[tex]P(nickel) = \frac{1}{3}[/tex]

The probability of selecting a nickel is 1/3

The probability of selecting a dime

[tex]P(dime) = \frac{7}{30}[/tex]

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter

First, we will calculate the probability of selecting a quarter

[tex]P(quarter) = \frac{5}{30}[/tex]

[tex]P(quarter) = \frac{1}{6}[/tex]

Then, the probability of selecting a dime or a quarter is

[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]

[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]

The probability of selecting a dime or a quarter is 2/5

Hence,

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

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Related Questions

Solve the 3D figure Rectangle is A=BH
Triangle is A=1/2BH

Answers

Answer:

The area of the 3d figure

Step-by-step explanation:

the area of the one of triangle is 8.7

and the reactangle is 5 x 7 = 35

and the big one is 10 x 7 = 70

so 8.7 + 8.7 + 35 + 35 + 70 = 157.4

Answer this please Answer

Answers

Answer:

A. 6/10

Step-by-step explanation:

Answer:

the answer is a 6

                          _

                         10

Step-by-step explanation:

The region outside the circle r = 2 and inside the circle r = -4sin

Answers

The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units

What is an area bounded by the curve?

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region outside the circle r = 2 and inside the circle r = - 4 sinθ.

Then the intersection point will be given as

[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]

Thus, the area of the region is 3.75 square units.

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A square picture is mounted on a larger rectangular sheet of poster paper leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides. The sheet of poster apper has an area of 42 square inches. If x represents the length of a side of the square picture, then an equation that can be used to determine the value of x is

Answers

An equation that can be used to determine the value of x is x² + 5x - 36 = 0.

To answer the question, we need to know what equations are

What is an equation?

An equation is an expression which shows the relationship between two variables.

Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.

Then,

The width of the rectangular poster is W = x + 2 + 1 = x + 3. The length of the rectangular poster is L = x + 1 + 1 = x + 2

So, the area of the rectangular sheet poster is A = LW

= (x + 2)(x + 3)

Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².

So, (x + 2)(x + 3) = 42

x² + 3x + 2x + 6 = 42

x² + 5x + 6 - 42 = 0

x² + 5x - 36 = 0

So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.

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HELP ME!!!! 50 POINTS!!!!!

Answers

Answer:

1. Height of the prism= h

2. area of the base= B

3. Perimeter of the base= P

Step-by-step explanation:

Here are what the letters mean:


P = perimeter of the base

h = height of the prism

B = area of the base

What is the arc length of ab?

Answers

Answer:

Step-by-step explanation:

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}[/tex]

Rule 1: Add 6 starting from 0. Rule 2: Add 3 starting from 0. Complete the first 5 terms using the rules. How are the corresponding terms related? Each term in the second sequence is double the corresponding term in the first sequence. Each term in the second sequence is half the corresponding term in the first sequence. Each term in the first sequence is four times the corresponding term in the second sequence. Each term in the first sequence is half the corresponding term in the second sequence.

Answers

Step 1 we catch a opp and then we wet one

In the diagram, A||B and B||C . Find the values of X

Answers

keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.

[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]

write a real-world problem that can be represented by the equation x+500=4732

Answers

Answer:

7858

Step-by-step explanation:

hope it helps you bye

True or False? The best answer gets brainliest.

Answers

Answer:

false, true, fale

Step-by-step explanation: hi

1: False. 2 is the x coordinate. (X,Y)
2: True. The X axis is ALWAYS horizontal. The Y axis is ALWAYS vertical.
3: False. (0,0) is the only origin when it comes to coordinate planes.

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of circular motion of the alpha particles is closest to

Answers

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of the circular motion of the alpha particles is closest to 0.11μs.

How do find the time period in a cyclotron?

The period of the circular motion of the alpha particles moving along an in the presence of the magnetic field is given by;

[tex]T = \dfrac{2\pi m}{qB}[/tex]

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t.

We are given;

Mass; m = 6.68 × 10^(-27) kg

Magnetic field;B = 0.90 T

Charge;q = 2e

Now, e is the charge on an electron and it has a value of 1.6 × 10^(-19) C

So, q = 2 × 1.6 × 10^(-19)

q = 3.2 × 10^(-19) C

we know that,

[tex]T = \dfrac{2\pi m}{qB}[/tex]

we have;

[tex]T =\dfrac{ (2\pi \times 6.68 \times 10^{-27})}{(3.2 \times 10^{-19}\times 0.9)}\\T =11.798 \times 10^{-8} s[/tex]

This can also be written as;

T ≈ 0.11 μs

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Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.
x<

y >

Answers

Answer:

x ≤ 16y ≥ 16

Step-by-step explanation:

-150x ≥ − 2,400 

[tex]\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)[/tex]

[tex]\Longrightarrow x\ \leq \frac{-2400}{-150}[/tex]

[tex]\Longrightarrow x\ \leq 16[/tex]

===============

-336 ≥ − 21y

[tex]\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y[/tex]

[tex]\Longrightarrow 16\geq y[/tex]

[tex]\Longrightarrow y\geq 16[/tex]

What is the solution to:
2x - 8 < 12

a. x < 2
b. x < 8
c. x < 10
d. x < 40

Answers

     - -- - - -- - - - -- - - - - -- - - - - -- - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - -- - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to 2x-8<12

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, add 8 on both sides:-

2x<12+8

2x<20

Divide by 2 on both sides:-

x<10 (Option C)

So the numbers less than 10 will make this inequality true.

Good luck.

              - -- - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - -

Valerie is wrapping a box with wrapping paper the volume of the box is 476.16 cubic inches, and the length and width of the box are 4.8 inches and 8 inches respectively. How much wrapping paper is needed to cover the box?

Answers

The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

What is the Surface Area of a Rectangular Box?

Surface area = 2(wl + hl + hw).

Volume = lwh.

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

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HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

To do this I am pretty sure your going to have to do some hard calculations.

Lets go deeper

so because it is a rectangle every angle is a right angle according to the property of a rectangle.

A right angle is 90 degress

So 8x+18=90
90-18=72

8x=72

72/8=9

x=9

Feel free to do brainlest if correct

From the set of the first ten natural numbers,if you pick a number at a time what is the probability of the number you pick to be:an even number

Answers

Answer:

0.5

Step-by-step explanation:

Half the natural numbers picked are going to be even numbers:  

{2, 4, 6, 8, 10}.  Thus the probability of the picked number being even is 5/10, or 0.5.

can someone help me with this problem? thanks!

Answers

Answer:

100m^2

Step-by-step explanation:

All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.

Please help me on this!

Answers

Answer:

C

Step-by-step explanation:

Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.

I have to answer to ask questions:/ I don’t know the answer sorry hope you had a good day though!

An ice cube tray holds 12 ice cubes. If the total volume of the ice in the
tray is 12 in3, what is the total surface area of the ice cubes?

Answers

Answer:

36

Step-by-step explanation:

12 multiplied by 3 is 36

You pick a card at random.

2
3
4
5


What is P(prime)?

Write your answer as a fraction or whole number.

Answers

Answer:

[tex]\displaystyle P(\text{Prime})=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Prime})=\frac{\text{Number of Primes}}{\text{Total}}=\frac{3}{4}=0.75[/tex]

Fin find the 31st term in -3, -5, -7, -9

Answers

Answer:

-63

Find common difference:

-5 -(-3)-5 + 3-2

nth term:

a + (n-1)(d)      [where a is first term, d is common difference]-3 + (n-1)(-2)-3 -2n + 2-2n -1

So 31st term:

-2(31) -1-63

Bruce is going to call one person from his contacts at random. He has 252525 total contacts. 202020 of those contacts are from his neighborhood.
What is \text{P(call a person not from his neighborhood})P(call a person not from his neighborhood)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, n, o, t, space, f, r, o, m, space, h, i, s, space, n, e, i, g, h, b, o, r, h, o, o, d, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.

Answers

The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contacts = 25

Total number of contacts of neighbors = 20

Total number of contacts which is not of the neighbors = 25 - 20 = 5

The probability of call a person not from his neighborhood:

P = 5/25 = 1/5

P = 0.2

Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25

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Answer: 1/5 or 0.2

Step-by-step explanation:

Please Help ! Its a math problem !!! Given the tables below, what is the difference between the average rates of change over the interval [1, 4]?

Answers

Answer:

-4

Step-by-step explanation:

Average rate of change (Table 1) :

A(x) = h(4) - h(1) / 4 - 1A(x) = 9 - 3 / 4 - 1A(x) = 6/3 = 2

Average rate of change (Table 2) :

A(x) = j(4) - j(1) / 4 - 1A(x) = 0 - 6 / 4 - 1A(x) = -6/3 = -2

Difference : -2 - 2 = -4

Check whether (2,-3) and (-1, 5) are solutions of the equation
4x+ y =1

Answers

Answer:

So the first one the false the second one it true

Step-by-step explanation:

4(2)+(-3)=1 FALSE

4(-1)+5 = 1 TRUE

The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure.

Answers

Answer:

360 I'm sure that's is answer thank you po

Which of the following represents the solution set to the equation: x2 + 2x + 26 = 0?
(1) 1 + 10i
(3) -2 + 2iV5
(2) 2 + iv5
(4) -1 ‡ 5i

Answers

Answer:

i think the answer is 4

Step-by-step explanation:

hope it's correct

Hello! I need respondents for a survey that I'm doing for a math project, it will only take about 2 minutes and it only has 7 simple questions about sleep. My goal is to get 50 people to answer. Thank you! https://surveyswap.io/surveys/3f10b0ac-0fa7-44b5-8ad6-b5f98bc7e60b/take-a-survey

Answers

Answer:

It wont work for me

Step-by-step explanation:

my school computer.

Area of perimeter of composite figures puzzle question B.

Answers

Area and perimeter of figure be: 562.08 m² and 123.68 m

What is Area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

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Find the area and perimeter of this shape.

Answers

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

………………………………………………..

Answers

Answer:

option c, 20

Step-by-step explanation:

Interquartile range is Q3 - Q1

Q3 is the upper end of the box: 35

Q1 is the lower end of the box: 15

35 - 15 = 20

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