You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:

a. an odd number?


b. a number greater than 2?


c. a number less than 7?


d. a prime number?

Answers

Answer 1

Answer:

a. P(O) = ¹/₂ = 0.5

As a percentage, this is 50%

b. P(> 2) = ²/₃ = 0.666...

As a percentage, this is 66.6...%

c. P(< 7) = 1

As a percentage, this is 100%

d. P(prime) = ¹/₂ = 0.5

As a percentage, this is 50%

Step-by-step explanation:

a.

1, 3 and 5 are odd, 3 of the outcomes

2, 4 and 6 are even, 3 of the outcomes

So, 3 of the 6 possible outcomes are odd and 3 are even;

Thus, the probability of an odd roll is ³/₆ (and the same applies to even);

This can be simplified to ¹/₂

b.

3, 4, 5 and 6 are the outcomes > 2;

1 and 2 are the outcomes ≤ 2;

So, 4 of the 6 possible outcomes are > 2;

Thus, the probability of rolling < 2 is ⁴/₆;

This can be simplified to ²/₃

c.

All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;

This means the probability of rolling less than 7 is ⁶/₆, or simply 1

d.

Prime numbers: 2, 3, 5, 7 ...

The possible prime number outcomes are 2, 3 and 5;

3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂


Related Questions

please help me on my math , I need help :(

Answers

Answer:

ask sombody else

Step-by-step explanation:

guess we dont

PLZ HELP MEEEEEEE I'LL MARK BRAILIEST

Answers

Answer:

D

Step-by-step explanation:

Please mark brainliest

hope it helps

Answer:

D

Step-by-step explanation:

I just know

Please use image above ^^​

Answers

Answer:

D or answer choice 4

Step-by-step explanation:

4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248​

Answers

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

Read related link on:

https://brainly.com/question/15179003

On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.

Please solve this correctly. I will give Brainliest.

Answers

Answer:

yes because that are true

Tell whether the fractions are equivalent. Write = or [tex]\neq[/tex]
3/4 ____ 8/12

Answers

not equal 3/4 x 3 = 9/12

A type of bacterium triples in population every hour. Assuming you start with
80 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 80 • 31-1
How many bacteria will there be at the beginning of hour 5?
A. 19,440
B. 1200
C. 720
D. 6480

Answers

Answer:

Here

Step-by-step explanation:

It is B Because if you do (8 times 3)5 it equals 1200

If x^4 - y^4 = 24, and x^2 - y^2 = 8, what is the value of x^2 + y^2 ?

Show work

Answers

Answer:

Step-by-step explanation:

U

Answer:

3

Step-by-step explanation:

[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]

see image above ^^^^​

Answers

Answer: A reflection, and then a translation.

What is 15 with exponent 1/3 in radical form?

Answers

Answer:

[tex]\sqrt[3]{15}[/tex]

Step-by-step explanation:

15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]

To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.

15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]

Have the best day ever! :D


15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?

Answers

Answer:

3000 residents

Step-by-step explanation:

Given:

15% of population = 450100% of population = x

Cross-multiply and solve for x:

x = 100*450/15 = 3000

Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)

What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}

Answers

The correct answer is B.

pls help :) not understanding this thank you!!!

Answers

Answer: equals Z

Step-by-step explanation:

simple you do y divided by mass energy

I need to know what is in the process box, it goes with the formula y=mx+b

Answers

Answer:

y= 8.5x - 10

Step-by-step explanation:

I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10

y is inversely proportional to
[tex]x {3}^{?} [/tex]
y=44 when x=a
Find y when x=2a

Answers

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" is inversely proportiional to }x^3}{y = \cfrac{k}{x^3}}\qquad \textit{we also know that} \begin{cases} y = 44\\ x = a \end{cases} \\\\\\ 44 = \cfrac{k}{a^3}\implies 44a^3=k~\hfill \boxed{y=\cfrac{44a^3}{x^3}} \\\\\\ \textit{when x = 2a, what is "y"?}\qquad y = \cfrac{44a^3}{(2a)^3}\implies y = \cfrac{44a^3}{8a^3}\implies \blacktriangleright y = \cfrac{11}{2} \blacktriangleleft[/tex]

E) Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got
the receipt and saw that the tax was $42.42. What was the sales tax rate for this
purchase?

Answers

Translating "The tax is some percent of the phone's price" into an equation, we get:

   42.42 = p · 499

If we divide both sides by 499, we get

   0.085 ≈ p

We can check by finding 8.5% of 499:

   0.085 · 499 = 42.415, which rounds to 42.42

So the tax rate was 8.5%.

put the number eight million, two hundred eleven thousand, four hundred nine into the place value chart, then write the number in standard and expanded form.

Answers

Here are the answers

Solve for X. 22 = 10x Simplify your answer as much as possible. x = 음. 6 08 ?​

Answers

Answer:

x=11/5

Step-by-step explanation:

isolate x

22/10 = 10x/10

22/10 = x

simplify

11/5 = x

Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.

Answers

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

The two numbers are in the ratio of 4:5 and the sum of these numbers in981 find the numbers​

Answers

Answer:

Step-by-step explanation:

let x be the larger number

x + (4/5)x = 981

(9/5)x = 981

x = 981(5/9)

x = 545

(4/5)(545) = 436

Triangle ABC is isosceles. What is the measure of angle C?

A. 25°
B. 30°
C. 60°
D. 75°

Answers

The answer is D, 75°.

All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:

(x + 5) + (3x) + (3x) = 180

Combine like terms.

(x + 5) + (3x) + (3x) = 180

7x + 5 = 180

-5 -5

7x = 175

/7 /7

x = 25

Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.

Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°

O isosceles
equilateral
scalene
acute
obtuse
right
equiangular

Answers

Answer:

obtuse isosceles

Step-by-step explanation:

the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.

since the angle is >90, the triangle is obtuse

Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$

Answers

9514 1404 393

Answer:

  $9.86

Step-by-step explanation:

The numbers in your problem statement are somewhat garbled. We understand the problem to be ...

Given:

  earnings: $11.60 per hour

  1/10 of earnings donated

  8 1/2 hours worked

Find:

  the amount donated

Solution:

The amount donated will be the product of the given numbers:

  ($11.60 /hour)×(8.5 hours)×(1/10) = $9.86

Kendra donated $9.86 to the charity last week.

If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?

Answers

Answer:

18

Hope this helps :) Please mark this brainiest?

Step-by-step explanation:

18/6=3

54/3=18

Answer:

18 ounces

Step-by-step explanation:

I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps

<3

Covert fractions into percents

1/8= __

Answers

Answer:

12.5%

Step-by-step explanation:

A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
What is the area of the rectangle?
8 square units
B. 10 square units
O c. 12 square units
O D. 15 square units

Answers

Answer:

C

Step-by-step explanation:

Answer:

D. 15 square units

Step-by-step explanation:

Explanation shown in the screenshots of the graph.

What is 75.65 rounded to the nearest whole number?​

Answers

It is 76 as the other person said, what I like to think to help me remember is five or more raise the score, 4 or less, let it rest

If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?









Can someone help me pls?

Answers

Answer:

633,870,000

Step-by-step explanation:

Add it together either on a calculator of a sheet of paper.

The copy machine at the library made a copy of Leslie 3 page essay in just 1/10 of a minute what is the speed of the copy machine

Answers

Answer:

30 pages/min

Step-by-step explanation:

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

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