Determine whether each statement correctly describes the likelihood of an event based on the given number cube. Select True or
False for each statement.
True or False

Determine Whether Each Statement Correctly Describes The Likelihood Of An Event Based On The Given Number

Answers

Answer 1

The statement that correctly descrives the likelilhood of an event based on the given numbered cube is: Option A: It is likely that a number less than 6 is occured.

How to decide the likelihood of an event?

Suppose that for a considered sample space, we consider an event E

Then, E is likely to occur if:

[tex]P(E) \geq P(E')[/tex]

where [tex]E_i '[/tex] is complementary event of E (ie, E'  occurs whenever E doesn't occur and vice versa)

If so, then we say that E is likely to occur as the outcome of the considered random experiment, else unlikely.

Since we have:

[tex]P(E) = 1- P(E')[/tex] due to E and E' being complement of each other, therefore, we get:

[tex]P(E) \geq 1 - P(E)\\P(E) \geq 0.5[/tex]

Thus, event E is said to be likely if its probability is greater or equal to 0.5, else not.

It is given that the cube is 6 faced (assuming all equally likely), numbered from 1 to 6.

Evaluating likelihood of each event:

It is likely that a number less than 6 is obtained on the number cube.

P(Getting a number < 6 on that cube) = [tex]\dfrac{5}{6}[/tex] (since a number out of 6 numbers can occur in 6 ways, but it being < 6 can be done in 5 ways).

Thus, we have:

P(Getting a number < 6 on that cube) =5/6 > 0.5

So it is likely to get a number < 6 on the considered cube. So this statement correctly describes the likelihood of its considered event.

It is unlikely that a number < 4 is obtained on the number cube.

Ways to get a number on the considered cube = 6

Ways to get a number < 4 on the considered cube = 3

Thus, we get:

P(Getting a number < 4 on that cube) = 3/6 = 0.5

Thus, it is likely to get a number < 4 on that cube, so this option is wrong.

It is certain that an odd or even number is obtained on the number cube

Yes it is certain, but we're considering only those options which correctly describe likelihood instead of certainity.

So, this option is not considerable.

It is unlikely that a number > 1 is obtained on the number cube.

Ways to get a number on the considered cube = 6

Ways to get a number > 1 on the considered cube = 5

Thus, we get:

P(Getting a number > 1 on that cube) = 5/6 > 0.5

Thus, it is likely to get a number > 1 on that cube, so this option is wrong.

Thus, the statement that correctly descrives the likelilhood of an event based on the given numbered cube is: Option A: It is likely that a number less than 6 is occured.

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Related Questions

Maribel factored y2 −30y + 81 as (y−9)2 . Was she right or wrong? How do you know?

Answers

Answer:

Wrong

Step-by-step explanation:

If you multiply (y-9)(y-9) the answer equal y2-18y+81.

Find the greatest common factor of 34 and 49.

Answers

Answer:

7

Step-by-step explanation:

We found the factors and prime factorization of 34 and 49. The biggest common factor number is the GCF number.

So the greatest common factor 34 and 49 is 7.

Answer:

1

Step-by-step explanation:

Factors of 34 are going to be 1, 2, 17, and 34.

Whilst the factors of 49 are 1, 7, and 49. They do not share any other factor other than 1

Can someone help me solves x

Answers

Answer:

28 most likely

Step-by-step explanation:

△OMN ~ △RPQ
Find θ. Please help me

Answers

Answer:

the angle is equal to 60 degrees

Answer: the angle is equal to 60 degrees

Step-by-step explanation:

Suppose that a cylinder has a radius of r​ units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 882 π square units. Find the value of r.

Answers

Answer:

21 units²

Step-by-step explanation:

the area of a circle is

pi×r²

the lateral area of a cylinder is the area only if the "mantle" of the cylinder : the round area all around the cylinder in its side.

in other words : everything but the ground and the top area.

how can we get the area of the side "mantle" ?

we can imagine, we take a knife and cut a straight line (and at 90°) from the top to the bottom, and then cut off the ground and the top circles by cutting along their circumference.

what do we get ?

if we put that remaining area in the table and press it flat, it is ... a rectangle. simply a rectangle.

its width is the height of the cylinder (the length of our initial top-bottom cut).

and its length is the length of the circle circumference that e just cut off.

and the circumference of a circle is

2×pi×r

so, the lateral area of the cylinder is

2×pi×r × h

r being the radius

h being the height of the cylinder.

and we get

LA = 2×pi×r×r = 882×pi

pi × r² = 441 × pi

r² = 441

r = 21 units²

4,238 as the sum of three different four digits numbers

Answers

Answer:

Step-by-step explanation:

Option 1: 1000 + 2000 + 1238

Option 2: 1500 + 1700 + 2038

Mr. Rodriguez has 8 packs of pencils to divide equally among his class of 26 students. If each pack
contains 15 pencils, how many pencils will each student receive? How many will be leftover? Show
your work.

Answers

Answer:
Each student will receive 4 pencils and the leftovers are 16 pencils

Step-by-step explanation:
Total number of pencils= 8x15 =120
120/26= 4 Remainder 16
Hope this helps :)

which of the following graphs represents the equation 2x+3y=12​

Answers

I believe it’s A

Explanation:

2x+3y=12

you have to get Y by itself

3y= 12-2x

Divide 3 by both sides to get the Y by itself

3y/3= 12/3 -2x/3

Therefore it’ll be A

y= -2/3x+ 4

Find the slope of the line that passes through (9, 1) and (6, 2).

Answers

Slope = (y2-y1)/(x2-x1)

Y2 = 2
Y1 = 1
X2 = 6
X1 = 9

Answer:

-1/3

Step-by-step explanation:

hope this helps!

What is an equation of the line that passes through the points (-8, 1) and (7, 1)

Answers

ANSWER: y = 1

STEPS:

first, find the slope by using the formula

which is also represented as m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where from point (-8, 1) x1 is -8 and y1 is 1

then from point (7, 1) x2 is 7 and y2 is 1

so we substitute into the formula

[tex] \frac{1 - 1}{7 - ( - 8)} = \frac{0}{7 + 8} = \frac{0}{15} [/tex]

[tex]m = \frac{0}{15} [/tex]

Then we solve for the equation of the line by using the formula

[tex](y - y1) = m(x - x1)[/tex]

but we have only y1, m and x1 so we substitute given us

[tex](y - 1) = \frac{0}{15} (x - ( - 8))[/tex]

but also, we must get rid of the fraction 0/15

so we multiply through by the denominator 15

[tex]15 \times (y - 1) = 15 \times \frac{0}{15} (x - (8))[/tex]

we get

[tex]15(y - 1) = 0(x - ( - 8))[/tex]

now we expand all brackets

[tex]15y - 15 = 0[/tex]

but we want the equation so we make y stand alone

[tex]15y = 15 \\ \\ \frac{15y}{15} = \frac{15}{15} \\ \\ y = 1[/tex]

the equation of the line is y=1

FREE BRAINLY JUST HELP ME

Jordan took out a loan for
14
months and was charged simple interest at an annual rate of
5.75
%
. If the amount of the loan was
$
850
, what is the amount of interest she had to pay?

Answers

Answer:

57.02 dollars

Step-by-step explanation:

850 * 14/12 * .0575 =

The required, Jordan had to pay $53.03 in interest on her loan.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
To find the amount of interest Jordan had to pay, we can use the simple interest formula,

I = P  × r × t

Where I is the amount of interest, P is the principal (the initial amount of the loan), r is the annual interest rate as a decimal, and t is the time in years.

In this case, P = $850, r = 0.0575 (5.75% expressed as a decimal), and t = 14/12 (since the loan was for 14 months, which is 1 year and 2 months or 1.16667 years).

Substitute the value in equation 1.

I = $850 × 0.0575 × 14/12

= $57.02

Therefore, Jordan had to pay $53.03 in interest on her loan.

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three coins are flipped .
What is the possibilty that all are tails

Answers

Answer:

The third coin also has a 1 in 2 or 1 2 chance of matching the coin on the first toss. Therefore the probability of tossing three coins and getting all heads or all tails is: 1 × 1 2 × 1 2 = 1 4 = 0.25 or 25% We can also show this from the results table below: There are 8 possible outcomes for tossing three coins.

Step-by-step explanation:

Researchers surveyed recent graduates of two different universities about their income. The following two-way
table displays data for the sample of graduates who responded to the survey.
How many graduates in the sample had an income of $40,000 and over?
graduates
Income
University A
University B
35
40
Under $20.000
$20.000 to $39.999
90
63
35
37
$40.000 and over
Report a proble
Stuck? Review related articles/videos or use a hint.

Answers

22% is the answer

First, divide 35(the number of students who have a income under 30,000 in  university A) by 160(the number of students in university A)

Secondly once you got the answer which is 0.21875. You round it up to 22% which is that answer.

HOPE THIS HELPS! :)

Enter the coordinates of the
point on the unit circle at the
given angle.
-225°

Answers

Answer:

Step-by-step explanation:

hello :

the coordinates of the point on the unit circle at the given angle.-225°:

x= cos(-225°)= -√2/2

y = sin (-225°)= √2/2

The coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].

What are coordinates of the point?

" The coordinates of the point is defined as the pair of such points which represents the exact location of the point."

What is unit circle?

" Unit circle means a circle with radius equals to 1unit."

Formula used

Equation of the circle with center (0, 0) and radius r

[tex]x^{2} +y^{2} =r^{2}[/tex]

Coordinates of the point on the circle (rcosθ , rsinθ)

cos(-θ) = cosθ

sin (-θ) = -sinθ

cos ([tex]\frac{3\pi }{2}[/tex] -θ) = -cosθ

sin ([tex]\frac{3\pi }{2}[/tex] -θ) = -sinθ

According to the question,

Given θ = -225°

Unit circle 'r' = 1

Therefore Coordinates are,

'x' coordinates represented by  rcosθ

'y' coordinates represented by  rsinθ

Substitute the value of r and θ in the coordinates of the point we get,

x = rcosθ

 = 1 × cos (-225°)

 = cos (225°)

 = cos ( 270° - 45°)

 [tex]=cos(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]                      

[tex]= - sin(\frac{\pi }{4}) \\= - \frac{1}{\sqrt{2} } \\=-\frac{\sqrt{2} }{2}[/tex]

y = rsinθ

 = 1 × sin (-225°)

 = -sin (225°)

 = -sin ( 270° - 45°)

 [tex]=-sin(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]                      

[tex]= -( - cos(\frac{\pi }{4})) \\= \frac{1}{\sqrt{2} } \\=\frac{\sqrt{2} }{2}[/tex]

Hence, coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].

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Select all of the properties that a parallelogram that is not a rectangle has. A. 2 pairs of parallel sides B. exactly 1 pair of sides with equal length C. 4 right angles D. 2 acute angles, 2 obtuse angles E. exactly 1 pair of parallel sides ​

Answers

Answer and Explanation:

B, because a rectangle has 2 pairs.

Theoretically, D could also be correct, but not in every scenario; all rectangles are parallelograms, but not all parallelograms are rectangles.

can anyone help? please and thank you!

Answers

-y⁴ + 4y

hope it helps...!!!

what is equivalent for 2/3 and 3/4 using 12 as a denominator

Answers

Answer:

8/12 and 9/12

Step-by-step explanation:

hope this helps loves x

i will give brainliest

A) 60

B) 120

C) 360

D) 40

Answers

Answer:

40 m^3

Step-by-step explanation:

Volume of a pyramid =  1/3 * base area * height

  base area = 4 x 4

1/3 * (4x4) * 7.5 = 40 m^3

Please help me 50 points!!!!!

Answers

Answer:

A is your answer! All I did was look for the volume of the cylinder, and the volume of a sphere. Then, you just add them together! Have a great day!

Step-by-step explanation:

 Which of the following are solutions to the equation below?

Check all that apply.

x^2 - 8x + 16 = 5

A. x = -√5 - 4

B. x = √11 + 4

C. x = -√11 - 4

D. x = √5 - 4

E. x = -√5 + 4

F. x = √5 + 4

Answers

Answer:

The answer to your question is F

Pls Hurry i need help lot's and lot's of help

Answers

Answer:

a)

Step-by-step explanation:

Hope it helps

Answer:

A

Step-by-step explanation:

I’m pretty sure it is A

because there is one clustered inside of the data

CAN SOMEBODY EXPLAIN THE EQUATION TO ME PLEASE

Answers

Answer:

15,000(0.81)^x

is a parallelogram a rectangle

Answers

Answer:

Yass indeed

Step-by-step explanation:

parallelogram is a rectangle.

Answer:

yes

Step-by-step explanation:

what model reprasents 3/5 x 8

Answers

Answer:

I don't know if this is the answer you're looking for, but an answer could be

24 over 5.

Step-by-step explanation:

Clarithromycin is available in a 250 mg/5 mL suspension. If a patient’s prescription calls for 500 mg of clarithromycin per dose, how many mL per dose should you dispense?

Answers

Answer:

10 ml

Step-by-step explanation:

500 mg /  ( 250 mg /5 ml) = 10 ml

can anybody help me? i need it

Answers

4 servings = 1/3 cups

| ×7.5 |×7.5

30 servings=7.5/3 cups

=2.5 cups

= 2 1/2c

9 Look at the descriptions in the table below. Decide whether each shape is possible or not possible. • For each shape, mark an X in the correct box under "Possible" or "Not Possible." • If the shape is possible, draw an example. Possible Not Possible Example Trapezoid that is a rhombus Rectangle that is not a square ​

Answers

there is no image here, no one can't answer u until u upload the image

Please answer asap. Also, explain the process of getting the answer. Thank you!

Answers

Answer: No cheating

Step-by-step explanation: Cheating isn’t allowed

Solve for x: 4(2x -1) + 8 -14x = -8x + 4 + 2x

Answers

Answer:

The value of x is all real numbers.

Step-by-step explanation:

4(2x -1) + 8 -14x = -8x + 4 + 2x <== distribute 4

4(2x) + 4(-1) + 8 -14x = -8x + 4 + 2x

8x - 4 + 8 -14x = -8x + 4 + 2x <== combine any like terms on both sides

-6x + 4 = -6x + 4 <== both sides are equal

Since both sides of the equation are equal, this means that any x value makes the equation true. Any real number can be used as the value of x.

Hope this helps!

A cyclist rides her bike at a speed of 27 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 20 minutes?

Answers

Answ2

Step-by-step explanati

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