A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists of 80 separate events that are equally likely. What is the probability of each?

Answer: 5

Step-by-step explanation:

two negatives equal a positive, so if you are subtracting with two negatives it just like 7-2 if that makes sense :)

Answer:

5

Step-by-step explanation:

you have to multiply the 2 negative signs in between of 2 and 7 and then you will get a positive sign

since the 2 signs are different you will need to subtract.

so 7-2 equals 5 and you put the bigger number's sign which is positive

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]

Learn more about the probability here:

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Answer:

B,C,E

Step-by-step explanation:

khan academy

Side length of the scaled copy of square is smaller than original.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given,

Scale factor of scaled copy of square is less than 1.

Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.

if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.

Hence, side length of constructed square is smaller than the original square.

Learn more about scale factor here:

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Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

Answer: i^2 = -1

Step-by-step explanation:

NVM Ignore this answer (:::::::

Question:

Gabriel started to calculate the area of the triangle. His work is shown.

A = 1/2 bh=1/2 (1/2) (3/4)

A triangle has a base of three-fourths inch and a height of one-half inch

What is the area of the triangle?

The area of the triangle is ___in.²

Answer:

Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]

Step-by-step explanation:

We are given the dimensions of the triangle as:

Base, b = ¾ inch

Height, h= ½ inch

To find the area of the triangle, let's use the formula :

Area of a triangle = ½base *height

Solving further, we have:

Area of a triangle = [tex] \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} [/tex]

Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]

Answer:

1/5

Step-by-step explanation:

There are 3+5+2 = 10 marbles in the bottle

P(green) = number of green marbles/ total

               = 2/ 10 = 1/5

Answer:D

between 3 and 4

I got it right in khan!

Step-by-step explanation:

The required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As of the given conditions,
1 person can eat 3/4 of box in one week
There are 5 persons in the family,
Total box of cereal that can be eaten = 5(3/4)
= 15/4
= 3 3/4

Thus, the required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

Learn more about simplification here:

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Answer:

y= - 4/1x + 5

Step-by-step explanation:

Answer:

y=-4x+5

Step-by-step explanation:

4 equals the slope (rise over run) and 5 equals the y-intercept

Answer:

  83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

  PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

Answer:

ax=cz-by

Answer:

735.13268 units^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·9·4+2·π·92≈735.13268

Answer:

∠NQR, ∠NRQ and side QR for ΔQNR is equivalent to ∠MRQ, ∠MQR and side QR, which defines the two triangles and proves that the two triangles are congruent

Step-by-step explanation:

Here, we have

ΔPQR is an isosceles triangle,

∠MRQ = ∠NQR

Therefore, since ∡R = ∡Q (Base angles of isosceles ΔPQR), then;

∠MRQ + ∡Q + ∠QMR = 180° = ∠NQR + ∡R + ∠RNQ (Sum of angles in a triangle)

Whereby ∠MRQ = ∠NQR and ∡R = ∡Q, we have;

∠MRQ + ∡Q  = ∠NQR + ∡R which gives;

∠QMR = ∠RNQ

Which gives;

∠NQR, ∠NRQ and side QR for ΔQNR is equivalent to ∠MRQ, ∠MQR and side QR, which defines the two triangles and proves that the two triangles are congruent.

Answer:

g = j - 12

Step-by-step explanation:

Let's say Jessie installed j axles. Convert words to math:

- "12 more" = + 12

- "the number of engine blocks her friend Gus installed yesterday" = g

Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:

j = g + 12

g = j - 12

Lets use the variables "a" and "g" to solve.

a =  number of axles

g =  number of engine blocks

If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).

Now, we have the expression a = g + 12

Solve for g since we are finding the number of engine blocks Gus Installed.

a = g + 12

~Subtract 12 to both sides

a - 12 = g + 12 - 12

a - 12 = g

Therefore, the answer is [ a - 12 = g ]

Best of Luck!

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

Answer:

B, 12.48 is the answer

Step-by-step explanation:

Just took the test

Answer:

its b just took the quiz on edge 2020

Step-by-step explanation:

Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula: so the answer is B

Step-by-step explanation:

Answer:Instructions below

Step-by-step explanation:

This is completing the square, so what happened was that -14 was divided, then squared, to find a perfect square. To find the third term, you have to divide it by two then square it, then add it to the other side to balance the equation out.

-14/2 = -7^2 = 49  This applies to every question in which you have to complete the square

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Answer:

99, 103, 91, 104, 109, 107, 97

Step-by-step explanation:

The bold is the outlier

113, 115, 103, 154, 109, 111, 119

141, 151, 111, 142, 149, 140, 150

131, 135, 131, 99, 138, 136, 140

Answer:

No it wont

Step-by-step explanation:

Answer:

X= -14

Step-by-step explanation

4(x + 2) =3(x-2)

4x + 8 = 3x - 6

4x - 3x= - 8 - 6

X = - 14

Answer:

b is about 25.5, c is about 18.7

Step-by-step explanation:

Using the law of sines, you can find the measure of side b with the following equation:

[tex]\dfrac{\sin 48}{19}=\dfrac{\sin 85}{b}[/tex]

[tex]b\approx 25.5[/tex]

Similarly, for c, you can do the following:

[tex]\dfrac{\sin 48}{19}=\dfrac{\sin 47}{c}[/tex]

[tex]c\approx 18.7[/tex]

Hope this helps!

Answer:

Answer:

15 1/4

Step-by-step explanation:

16-3/4

64/4-3/4

61/4

15 1/4

Answer:c=5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it has to be a negative graph so a and d aren't right and the y intercept is 3 so c is right

Answer:

the answer is C

Step-by-step explanation:

1st step to write the slope intercept form then first u need to find the two points that ur going to use, then u get the slope

FIND THE SLOPE:

point 1: (2,0)

point 2: (0,3)

slope= y2-y1/x2-x1

s= 3-0/0-2

s= -3/2

2nd step is to find the y-intercept, to find that u take the slope intercept form which is y=mx+b

m=slope

b=y-intercept

and now substitute the variable for the known value

pick any of the two points, so u can substitute the variable X and Y

x=2

y=0

b=-3/2

0=2(-3/2)+b

solve to find B

distribute 2

2(-3/2)=-6/2 or -3

0=-3+b

and now add 3 to both sides

0+3=-3+3+b

b=3

now the slope intercept formula is y=-3/2x+3

to check the answer u can substitute the X and Y of one of the points and see if u get the solution as 0 or 3 (it depends on which point u chose)

X intercepts:

(-1/4,0),(3/2,0)

Answer:

157.48

Step-by-step explanation:

Answer:

Step-by-step explanation: