a number cube is labeled 1 to 6 Find each probability write each answer as a fraction , a decimal, and percent P(2)

Answers

Answer 1

P(1) = 1/6 = 0.166666 = 16.7%
P(2) = 1/6 = 0.166666 = 16.7%
P(3) = 1/6 = 0.166666 = 16.7%
P(4) = 1/6 = 0.166666 = 16.7%
P(5) = the same as the 4 above.
P(6) = the same thing as those numbered P(1) to P(4)

You might wonder how I got the %

any decimal expressed as a percent means multiply the decimal by 100.

0.1666666 * 100 = 16.66666 % which I rounded to 16.7%

Related Questions

Which five values would be used to graph a box-and-whisker plot for the following set of data? 36, 14, 27, 27, 33, 22, 41, 29

Answers

First put all the number in order from least to greatest:
Q1 Q2 Q3
{14,22,27,(27}{,29),33,36,41}
add/div. by 2 add/div. by 2
28.5 34.5

Minimum: 14 (smallest number)
Quartile 1: 28.5 (middle number of q1)
Quartile 2: 28 (middle number) when you have and even amount of numbers you end up having 2 middle numbers, so you just add them then divide by 2. 27+29=56 56/2=28
Quartile 3: 34.5 (middle number of q3)
Maximum: 41 (biggest number)

I hope this helped you! :)

Answer:

Lower value: 14

Highest value: 41

Lower quartile: 24.5

Upper quartile: 34.5

Median: 28

Step-by-step explanation:

PLZ HELP ASAP CIRCLES WILL GIVE BRANLIEST

Answers

From the given, it is obvious that angle I is the opposite angle of angle D. This means that the sum of the measures of these two should be equal to 180°.

If we are to look closely to the figure, angle I intercepted the arc BDR. Also, the angle D intercepted arc BIR. The sum of the measures these two arcs is 360°. Hence, the sum of the measures of the angles intercepting these arcs is 180°.

m∠I + m∠D = 180°
117° + m∠D = 180°

The measure of angle D is 63°.

Answer: 63°

What is the equation of the circle shown in the graph ? (Blank)^2 + (Blank)^2 = blank

Answers

check the picture below.

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-6}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{6}{ r} \\\\\\\ [x-(-6)]^2+[y-4]^2=6^2\implies (x+6)^2+(y-4)^2=36[/tex]

The equation of the circle shown in the graph is equal to [tex](x + 6)^2 + (y - 4)^2 = 36[/tex]

Form the graph, we can deduce the following points:

The center of the circle is denoted by the black dot and we can see that the values are -6 and 4 respectively.

Center (h, k) = (-6, 4)

Also, the diameter of the circle is:

Diameter = 12 units

Radius = [tex]\frac{Diameter}{2} = \frac{12}{2} = 6 \;units[/tex]

Mathematically, the standard form of the equation of a circle is given by;

.....equation 1

Where;

h and k represents the coordinates at the center.r represents the radius of the circle.

Substituting the values into eqn 1, we have:

[tex](x - [-6])^2 + (y - 4)^2 = 6^2\\\\(x + 6)^2 + (y - 4)^2 = 36[/tex]

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coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3

The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?

2x + y ≤ 10
2x − 4y < 8

Answers

A graph shows points A, C, D, K are in the solution set.

_____
Doing all the calculations is fairly tedious, but can be done manually. (It works better, perhaps, to do it on a spreadsheet.) It is convenient to reduce the second equation by a factor of 2 to
x -2y < 4

point A(-5, 4) in the first equation: 2(-5)+(4) = -2 ≤ 10
point A(-5, 4) in the second (reduced) equation: (-5)-2(4) = -13 < 4

point H(-4, -4) in the first equation: 2(-4) +(-4) = -12 ≤ 10
point H(-4, -4) in the second equation: (-4) -2(-4) = 4 < 4 . . . FALSE

Adams sister want to watch her intake of fat per day.he estimate that the dinner will have 48grams of fat.what percentage of her total daily allowance of fat will the dinner be round your answer to a whole number.the recommended daily allowance of fat is70g

Answers

You have to figure out what 48 percent of 70 is.
Use the formula percent/of = x/100.
So, 48/70 and x/100 you cross multiply the numbers; 48*100 and 70*x and end up with 70x=4800.
Divide both sides by 70, which gives you 68.57.
Round the number up to 69 percent.

What is the probability that at least 2 students in a class of 36 have the same birthday?

Answers

Given a group of n students, and given the fact that there are 365 days in one year, the probability that there are no students with the same birthday is given by
[tex]p_{no} (n) = \frac{364}{365} \cdot \frac{363}{365} \cdot ... \cdot \frac{365-n+1}{365} = \frac{364!}{365^{n-1} (365-n)!} [/tex]
Therefore, the probabilty that there are at least 2 students with same birthday is the complementary of this value:
[tex]p_{yes} (n) = 1 -p_{no}(n) =1- \frac{364!}{365^{n-1} (365-n)!}[/tex]

And if we use n=36 (number of students), we find
[tex]p=1- \frac{364!}{365^{36-1} (365-36)!} \sim 0.83[/tex]
So, the probability that there are at least 2 students in a group of 36 with same birthday is approximately 83%.

2. An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area?

A. 24 miles B. 12 miles C. 576 miles D. 20 miles

Answers

Answer:

A. 24 miles

Step-by-step explanation:

Using 3.14 for π, we have ...

... Area = πr^2

... √(Area/π) = r = √(1808.64/3.14) = √576 = 24 . . . . miles

Answer:

its 24 miles so the correct answer would be A

Step-by-step explanation:

What are the lateral area and the surface of the cone shown below?

Answers

[tex]\bf \textit{lateral surface area of a cone}\\\\ LA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}~~ \begin{cases} r=radius\\ h=height\\ -------\\ r=11\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}=24 \end{cases}\implies LA=\pi (11)(24) \\\\\\ \boxed{LA=264\pi }\\\\ -------------------------------[/tex]

[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\ -------\\ r=11\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}=24 \end{cases} \\\\\\ SA=\pi (11)(24)+\pi (11)^2\implies SA=264\pi +121\pi \\\\\\ \boxed{SA=385\pi }[/tex]

Which of the following is a service that banks provide? A. Printing paychecks B. Insuring vehicles C. Access to cash D. Printing money

Answers

Hey There! Your answer is C, In a bank you can store money in a savings account and later take it out. Or you can apply for a Loan. So you have access to money in a bank. Have a nice day! Hope this helped!

Answer:

C. Access to cash

Step-by-step explanation:

Bank provides access to cash in multiple manners, you can debit the money from your savings account, apply for different type of loans, draft your DD etc.

While for the other options like printing paychecks are done by any company in order to provided paychecks to its employees, Insurance companies provides vehicle insurance services to anyone will to get their vehicle insured and printing money is provided only by central bank of any country, not every bank is allowed to print money.

PLZ HURRRY!!

Of the 12,000 votes cast in an election, 42% of the votes were for Mr.Jones. How many votes were cast for all the other candidates?

Answers

42/100 × 12000
= 5040
Therefore, Number of Voters left = 12000-5040
= 6960

6960 is the correct answer :)

Use the substitution method to determine whether the system of equations has one solution, no solution, or infinitely many solutions. 2x-y=10 x = y + 5

Answers

We have the equations:
2x-y = 10, x = y + 5
To solve the system we substitute x = y + 5 in the first equation and it remains:
2 (y + 5) - y = 10
2y +10 -y = 10.
y = 0
Then we substitute y = 0 in any of the two equations to find x
Finally we have left that x = 5

Which point best approximates the root of 45

Answers

To solve for √45 we shall proceed as follows:
We rewrite 45 as 3²×5
thus
√45=√(3²×5)
pulling terms out from under the radical we obtain
3√5
thus the exact answer form is:
3√5
or the decimal form is:
6.70820393

Explain why the ratio 3 feet / 1 yard has a value of one

Answers

Because There are 3 feet in 1 yard, so 3 feet and 1 yard are the same thing, hence a 1:1 ratio.

for her bedroom Marisol is buying a rug that is 6 feet by 8 feet her room is 9 feet by 11 feet how many square feet of floor will not be covered by Rug?

Answers

51 feet i think because the area of the room is 99 feet the area of the rug is 48 feet 99-48=51

Final answer:

Marisol's bedroom is 99 square feet, and the rug area is 48 square feet. By subtracting the rug area from the total room area, we find that 51 square feet of floor will not be covered by the rug.

Explanation:

To find out how many square feet of Marisol's bedroom floor will not be covered by the rug, we must first calculate the area of her entire room and then the area of the rug. The area of a rectangle is found by multiplying the length by the width. The area of Marisol's room is 9 feet × 11 feet = 99 square feet. The area of the rug is 6 feet × 8 feet = 48 square feet.

Next, we subtract the area of the rug from the area of the entire room to find the uncovered floor area.

Uncovered floor area = Total room area – Rug area
= 99 square feet – 48 square feet
= 51 square feet

Therefore, 51 square feet of Marisol's bedroom floor will not be covered by the rug.

You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?

Answers

The annual interest rate is 0.06 or 6%.

thats the answer hope this helps

Answer:

Step-by-step explanation:

Let's start by finding the amount earned per month:

[tex]\frac{18}{9}[/tex]=2

Now let's find the % per month

[tex]\frac{2}{400} =.005[/tex], or .5%

Now let's multiply by 12 months to get the annual interest rate

[tex].005 * 12 = .06[/tex] or 6%

Can a chord also be classified as a radius? Explain your answer.

Answers

No
A chord is a straight sediment that joins two points of the circumference. The radius goes from the center of the circle, which is not on the radius.

y = |x| translated two units to the right.

Answers

If you want to translate y = |x| two units to the right, then you'll replace every x with x-2. This will move the xy axis 2 units to the left, giving the illusion that the V shape graph moves 2 units to the right.

So we go from y = |x| to y = |x-2|

Polygon ABCDEF is the result of a translation of polygon GHIJKL . GL¯¯¯¯¯ is parallel to HI¯¯¯¯¯ in the pre-image. please help

Answers

Since GL and HI are parallel to each other, then in the translation this condition is going to be kept. So that, we can write in these gaps that AB and FE are parallel to each other.

GL parallel to HI in the pre-image ensures AB remains parallel to FE in the translation.

Given that GL and HI are parallel, we can infer that AB and FE will also remain parallel in the translation. The parallelism of lines GL and HI suggests that their corresponding sides, AB and FE, will exhibit the same parallel relationship during the translation process. This is a consequence of the consistent geometric transformation applied to all points on lines GL and HI. As each point on GL undergoes translation, its corresponding point on HI experiences the same displacement, preserving the parallelism.

Therefore, we can confidently state that AB and FE maintain their parallel orientation, aligning with the geometric properties of the translation that preserves parallel lines. The parallelism observed in the original configuration persists throughout the translation, ensuring that AB and FE remain parallel to each other.

For more such questions on parallel:

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simplify this problem

Answers

[tex] \dfrac{49 - \frac{1}{r^2} }{7 - \frac{1}{r} } [/tex]

Rewrite the fraction as division:
[tex]= (49 - \dfrac{1}{r^2}) \div (7 - \dfrac{1}{r} )[/tex]

Make them into single fraction:
[tex]= \dfrac{49r^2 - 1}{r^2} \div \dfrac{7r - 1}{r} [/tex]

Change the divide fraction into multiplication fraction:
[tex]= \dfrac{49r^2 - 1}{r^2} \times \dfrac{r}{7r - 1} [/tex]

Factorise the difference of square a² - b² = (a + b) (a - b) :
[tex]= \dfrac{(7r+ 1)(7r - 1)}{r^2} \times \dfrac{r}{7r - 1} [/tex]

Cancel the common factors:
[tex]= \dfrac{(7r+ 1)}{r}[/tex]

Comment. The best way to do this is to let 1/r = a and 1/r^2 = a^2. Now rewrite the problem.

Solution
[tex] \frac{49 - a^2}{7 - a} \\ \frac{(7 - a)(7 + a)}{7 - a}\text{ Notice a cancellation can take place} [/tex]

There is a 7 - a in both numerator and denominator, so that cancel providing a does not equal 7. a cannot equal 7 because that will put a 7 in the denominator and that makes the whole fraction = something over 0 which is undefined.

Answer
So far what we have is
7 + a

But a = 1/r
So the answer can be 7 + 1/r

r can be anything but 0 [for this answer]
and 1/7 for the cancellation.

Question 19 find the solution

Answers

y = 31 because 6x5 is 30 and if you add one it becomes 31.

y = 6x +1
x= 5

Using the value of x in first equation we can write:

y = 6(5) + 1

y = 30 + 1

y = 31

So, the solution is (5, 31)

Thus, option 2nd is the correct answer

find the number of gallons in 6 liters of solution(1gal=3.79l)

Answers

Final answer:

To convert 6 liters of solution into gallons, given that 1 gallon is equivalent to 3.79 liters, you divide 6 by 3.79 which gives you 1.58 gallons of solution.

Explanation:

The question is asking to find the number of gallons in 6 liters of a solution, given that 1 gallon is equivalent to 3.79 liters. The conversion from liters to gallons is a basic concept in measurement conversion. Here is a step-by-step explanation to help you understand the process:

You have 6 liters of solution which you want to convert to gallons. We know that 1 gallon is equivalent to 3.79 liters. So, to convert liters to gallons, we divide the number of liters by 3.79. Therefore, you have 6 / 3.79 = 1.58 gallons (rounded to two decimal places) of solution.

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Part A: Factor 2x2b2 + 5xb2 + 2b2. Show your work. (4 points) Part B: Factor x2 − 8x + 16. Show your work. (3 points) Part C: Factor x2 − 49. Show your work. (3 points)

Answers

[tex]2x^2b^2 + 5xb^2 + 2b^2 = b^2(2x^2 + 5x + 2) = b^2(2x + 1)(x + 2)[/tex]

[tex]x^2 - 8x + 16 = (x - 4) (x - 4) = (x-4)^2[/tex]

[tex]x^2 - 49 = x^2- 7^2 = (x - 7)(x + 7)[/tex]

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need ?

Answers

Dimensions of the glasses: Diameter, d = 3 in; depth, h = 6 in

Volume of 1 glass = (πd^2/4)*h = (π*3^2/4)*6 = 42.41 in^3

Each of the three guests will be served a glass full of milk.

Volume of milk required = 3*volume of 1 glass = 3*42.41 = 127.23 in^3
But,
1 in^3 = 0.0163871 liters

Therefore,
127.23 in^3 = 127.23*0.0163871 ≈ 2.09 liters will be required.

what is the solution -10 + sqrt x+8=-4

Answers

- 10 + √(x + 8) = - 4

Add 10 to both sides to get:
√(x + 8) = 6

Square both sides to get our binomial out of the square root:
x + 8 = 6²
x + 8 = 36

Subtract 8 to both sides to get:
x = 28

Answer:

[tex]x=28[/tex]

Step-by-step explanation:

[tex]-10+\sqrt{x+8}=-4[/tex]

⭆ Add 10 to both sides:-

[tex]-10+\sqrt{x+8}+10=-4+10[/tex]

[tex]\sqrt{x+8}=6[/tex]

⭆ Square both sides:-

[tex]x+8=36[/tex]

⭆ Subtract 8 from both sides:-

[tex]x+8-8=36-8[/tex]

[tex]x=28[/tex]

OAmalOHopeO

How does the graph of y=1/2(x+4)^2compare to the graph of y=(x-1)^2 -3?

Answers

[tex]\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)= A( Bx+ C)+ D \\\\ ~~~~y= A( Bx+ C)+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \\\\ f(x)= A sin\left( B x+ C \right)+ D \\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}[/tex]

[tex]\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B} [/tex]

and now with that template in mind,

bearing in mind the parent function for both is just y = x², or y = 1(1x + 0)² + 0.

[tex]\bf y=\stackrel{A}{\cfrac{1}{2}}(x\stackrel{C}{+4})^2[/tex]

is x² but expanded by twice as much vertically, and has a horizontal shift of +4, namely 4 units to the left.

y=(x-1)² - 3

is just x² but with a horizontal shfit of -1, namely 1 unit to the right, and a vertical shift of -3, namely 3 units down.

wanda rode her bike 21/10 miles. Which mixed number shows how far Wanda rode her bike?

Answers

2 1/10 as a mixed number or 2.1 as a decimal

Hope that helps

To convert the improper fraction 21/10 to a mixed number, divide 21 by 10 to get 2 with a remainder of 1. The mixed number is 2 1/10.

The student is asking for help converting an improper fraction to a mixed number. An improper fraction is one where the numerator is greater than the denominator. To convert 21/10 to a mixed number, we divide the numerator by the denominator.

Divide 21 by 10, which equals 2 with a remainder of 1.

The whole number part of the mixed number is the quotient, which is 2.

The remainder becomes the new numerator, and the original denominator stays the same, making it 1/10.

Therefore, the mixed number is 2 1/10.

the number of bacteria in a container increases at the rate of R(t) bacteria per hour. If there are 1000 bacteria at time t=0 , which of the following expressions gives the number of bacteria in the container at time t=3 hours?

Answers

The expression for the total number of bacteria at t = 3 hours, given an initial 1000 bacteria at t = 0, is: [tex]\[ 1000 + \int_0^3 R(x) \, dx \][/tex]

To find the number of bacteria in the container at time t = 3 hours, given that the rate of increase is [tex]$ R(t) $[/tex] bacteria per hour and there are 1000 bacteria at time t = 0, you can use the following steps:

Start with the initial condition :

You are given that there are 1000 bacteria at t = 0.

So, the initial condition is [tex]$ N(0) = 1000 $,[/tex] where N(t) represents the total number of bacteria at time t.

Integrate to find the change in number of bacteria over time :

Since the rate of increase is R(t), the total increase in bacteria from time t = 0 to t = t is given by integrating R(t) with respect to time.

This integral provides the cumulative increase in bacteria:

[tex]\[ \int_0^t R(x) \, dx. \][/tex]

Add the initial bacteria to the increase :

Since there are already 1000 bacteria at t = 0, the total number of bacteria at time t is given by:

[tex]\[ N(t) = 1000 + \int_0^t R(x) \, dx. \][/tex]

Find the expression for t = 3 hours :

To find the total number of bacteria at t = 3 hours, you substitute t = 3 into the expression derived in step 3:

[tex]\[ N(3) = 1000 + \int_0^3 R(x) \, dx. \][/tex]

Thus, the expression [tex]$ 1000 + \int_0^3 R(x) \, dx $[/tex] gives the number of bacteria in the container at time t = 3 hours.

Question :

The correct expression that gives the number of bacteria in the container at time t = 3 hours is D. [tex]1000 + \int_0^3 R(t) \, dt[/tex]

The problem asks us to find the number of bacteria in a container at t = 3 hours, given that the number of bacteria increases at a rate of R(t) bacteria per hour and there are 1000 bacteria at time t = 0.

To solve this, we need to integrate the rate function R(t) to find the total change in the number of bacteria over the interval from t = 0 to t = 3.

1. Initial number of bacteria:

At t = 0, the number of bacteria is 1000.

2. Change in number of bacteria:

The rate of change of the number of bacteria is given by R(t) bacteria per hour.

To find the total number of bacteria added over the time interval from t = 0 to t = 3, we need to integrate R(t) from 0 to 3.

Total change in number of bacteria = [tex]\int_0^3 R(t) \, dt[/tex]

3. Total number of bacteria at t = 3 hours:

This is the sum of the initial number of bacteria and the total change in the number of bacteria over the 3 hours.

Number of bacteria at t = 3 hours = [tex]1000 + \int_0^3 R(t) \, dt[/tex]

Complete Question:

The number of bacteria in a container increases at the rate of R(t) bacteria per hour. If there are 1000 bacteria at time t=0, which of the following expressions gives the number of bacteria in the container at time t=3 hours?

(A) R(3)

(B) 1000+R(3)

(D) [tex]$1000+\int_0^3 R(t) d t$[/tex]

Al and Bill each have two bullets. They fire alternately at a glass bottle. Al has hitting probability 1/3 and Bill 1/4. What is the probability that Al smashes the bottle if he is the one who fires the first shot? (Note: Al can smash the bottle even if he misses with his first shot.)

Answers

P(Al hits bottle first time) = 1/3
P(Al misses the first shot but hits on his second shot) =
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6

So required probability = 1/3 + 1/6 = 1/2

what is the surface area of a sphere with a radius of 3m

Answers

The area is 113.1m If you want to double check go on google and look up surface area of a sphere. A calculator will come up. Hope this helped.

what integer and-8 have the product of -96

Answers

That would be 12
12 times -8 = -96!

:) Have a nice day and maybe consider grading this answer brainliest? <3

Your answer is 12.

12 * (- 8) = - 96.

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