Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.

Answer:

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

Step-by-step explanation:

Step ( i ) :-    

Given the two dice are thrown ,The total number of  exhaustive cases

n(S) =  6² = 36

Let 'E₁' be the event of getting the sum is odd on two dice

E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}

n(E₁) = 18

Let 'E₂' be the event of getting the sum is multiple of 5 on two dice

E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}  

n(E₂) = 7  

n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4

Step(ii):-

The probability that the event of getting the sum is odd on two dice

[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]

The probability that the event of getting the sum is multiple of '5' on two dice

[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]

The probability that the event of getting the sum is odd and multiple of '5' on two dice

[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)

              =    [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]

              [tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]

P(E₁∪E₂) = 0.58 = 58%

Final answer:-

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

The probability that the sum is odd or a multiple of 5 is 56 %.

When two dice are rolled, then

Total number of outcomes is [tex]=6^{2}=36[/tex]

Outcomes for  the sum is odd or a multiple of 5 ,

    [tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]

Number of favourable outcomes are [tex]=20[/tex]

the probability that the sum is odd or a multiple of 5 is,

                   [tex]P(E)=\frac{20}{36} =0.56[/tex]

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Answer:

option 2

452.16

You would need to use this equation...

V=πr²h

3.14 * (4)² * 9

= 452.16 cm³

Answer:

3:5

Step-by-step explanation:

all figures can be divided by 8, so

swimming- 40/8= 5

arts 16/8= 2

music 24/8= 3

therefore, the ratio would be 3:5

Answer:

3/5

Step-by-step explanation:

I took it but got it wrong so i did the math problem and got this 3/5

Answer:

9*70

Step-by-step explanation:

It is not 9+70 or 9+60 because for this problem multiplication is required.

This problem seems to want you to round to the nearest ten's place.  Because the one's place in 68 is above 5, the number will round up.

This means that the answer will be 9*70

Answer:

9*70

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio between the volume of the small cone to that of the frustum is 1:1.

Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.

Answer:

A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180

Step-by-step explanation:

Answer:

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70 miles per hour 

Step-by-step explanation:

Let

speed of train B = a

speed of train A = a + 20

Recall

speed = distance/time

The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.

Time = distance/speed

270/a + 20 = 210/a

cross multiply

270a = 210(a + 20)

270a = 210a + 4200

270a - 210a = 4200

60a = 4200

divide both sides by 60

a = 4200/60

a = 70

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70  miles per hour

Answer: the answer is in the steps.

Step-by-step explanation:

6.25h ≤ 125.00

Answer:

The z-score of a 65-mph speed limit is -0.75

Step-by-step explanation:

Here, we want to calculate the z-score

To calculate the z-score, we make use of the z-score formula

Mathematically;

z-score =(x-mean)/SD

from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph

Plugging these values into the equation above, we have

z-score = (65-71)/8 = -6/8 = -0.75

Answer: 17/50

Multiply

0.34/1×100=34/100

Simplify

34/100÷2/2=17/50

A fraction which is equivalent to 0.34 is; 17/50

The decimal number, 0.34 can be represented in words as; 34 hundredths.

In essence, mathematically, we have;

17/50 is obtained by factorisation of 2 out of the numerator and denominator.

Hence, a fraction which is equivalent to 0.34 is 17/50.

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Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

Answer:

C

Step-by-step explanation:

Answer:

12,852

Step-by-step explanation:

V= l*w*h

V=17*18*42

V= 12,852

Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

Answer:

six

Step-by-step explanation:

3x6=18 and 3+3+6+6= 18.

Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer: k=1

Step-by-step explanation:

4 - 2k = 2

If it's easier you can also write it like

-2k + 4 =2

Solve for k by isolating it. Move four and then divide the -2.

-2k =2-4

-2k= -2

k= -2/-2

k=1

Answer:

1

Step-by-step explanation:

4-2k=2

When a letter is next to a number that means to mulptiply, so

4-2*1=2

2*1=2 and 4-2=2

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

Answer:

y/x = 1

Step-by-step explanation:

sin 45 = cos 45 = y /1 = x/1

so y = x

or y/x =1

The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.

To find the height of the incline, we can use trigonometry, specifically the sine function.

Let's consider the triangle formed by the incline track, where:

The angle of elevation (angle between the incline track and the ground) is 30 degrees.

The length of the incline track (base of the triangle) is about 800 feet.

We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).

Using the sine function, we have:

[tex]sin(angle) = opposite\ side / hypotenuse[/tex]

In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).

So, the equation becomes:

[tex]sin(30^o) = h / 800[/tex]

h = 800 * 0.5

h = 400 feet

Therefore, the height of the incline is approximately 400 feet.

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Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

No. it's close to 21.

Step-by-step explanation:

There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P

Answer:

55°

Step-by-step explanation:

Using cosine law

67² = 74² + 14² - 2(74)(14)cos(L)

cos(L) = 169/396

L =55.18378419

The measure of angle L to the nearest degree is 55°.

Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,

a² = b² + c² - 2bc cos(A)

Given, for a triangle JKL,

j = 74 inches, k = 14 inches and l = 67 inches.

We can use law of cosines to find the measure of angle L.

Using the law of cosines,

l² = j² + k² - 2jk cos(L)

67² = 74² + 14² - (2×74×14) cos(L)

4489 = 5476 + 196 - 2072 cos(L)

4489 = 5672 - 2072 cos(L)

-1183 = - 2072 cos(L)

cos (L) = 0.5709

L = 55.18° ≈ 55°

Hence the measure of angle L is 55°.

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The answer is 75,300,000 hope this helps.

Answer:

[tex]20943.96 ft^3[/tex]

Step-by-step explanation:

The silo is shaped as a cylinder with a hemisphere on top of it.

We need to find the volume of the shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of a hemisphere is given as:

[tex]V = \frac{2}{3} \pi r^3[/tex]

where r = radius

Therefore, the joint volume of both shapes is:

[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]

The height of the silo is 60 and the diameter is 20.

This means that the radius is 10.

The cylindrical part of the silo and the hemispherical part have the same radius, 10.

The volume of the silo is:

[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]

The volume of the silo is [tex]20943.96 ft^3[/tex]

Answer: 0.92

Step-by-step explanation: cos a = side adj / hypotenuse

Cos a = 12/13 ~ 0.92307

Answer:

She earns £11 per hour

Step-by-step explanation:

You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.

Caroline will earn £11 for working per hour.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that caroline works 8 hours a day 5 days a week she earns £440 each week.

The earnings for an hour will be calculated as,

Total hours = 8 x 5 = 40 hours

Earning per hour = £440 / 40

Earning per hour =  £11

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x + y = 198

y = 1.20 x

x + 1.2 x = 198

2.2x = 198

x = 198/2.2 = 90

y = 198 - 90 = 108

Answer: 90 and 108

Answer:

108 and 90

Step-by-step explanation:

let the two numbers be x and y

from the question let y be the greater number

therefore, y = 20%x +x

y=20/100x + x

y=(20x+100x)/100

y=120x/100

y=1.2x

from the question

x+y=198______(1)

x+1.2x=198

2.2x=198

x=198/2.2

x=90

from (1)

x+y=198

90+y=198

y=108

x=90 y=108

Answer:

84 mm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b *h

The base is 14 and the height is 12

A = 1/2 (14*12)

A = 84 mm ^2

Area of a triangle formula: A = 1/2bh

Solve using the values given in the picture.

A = 1/2(14)(12)

A = 1/2(168)

A = 84

Therefore, the volume of the triangle is 84mm²

Best of Luck!