An experiment consists of rolling two fair(not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on two opposite faces, and the number 3 on two opposite faces.
Compute the probability of obtaining the indicated sums in problem.
Final answer:
The student is performing a probability calculation involving rolling two dice and must enumerate all possible outcomes. The probability of a specific sum is determined by dividing the number of ways to achieve that sum by the total number of possible outcomes, 36 in the case of rolling two dice.
Explanation:
The student's experiment consists of rolling two fair dice and adding the numbers that appear on the faces that land upwards. Each die in this scenario has the numbers 1, 2, and 3 on two opposite faces. When calculating the probability of specific sums resulting from this experiment, we need to consider all the possible outcomes (the sample space) and the number of ways to achieve the sum in question.
To find the probability of any particular sum, one must enumerate each distinct way that sum can occur. There are a total of 36 possible outcomes when rolling two dice (6 outcomes per die × 2 dice). For example, to calculate the probability of getting a sum of 4, we need to consider the possible dice combinations (1+3, 2+2, 3+1) that would result in that sum.
As for the probability of an event, it is the number of favorable outcomes over the total number of possible outcomes. If the event is 'rolling a sum of 4', and there are three combinations out of 36 total that yield that sum, the probability would be 3/36 or 1/12. Remember that we must count each die distinctly; although the numbers are the same (1, 2, 3), a roll of 1 on the first die and 3 on the second die is a different outcome from a roll of 3 on the first die and 1 on the second die.
What is √6/√5 in simplest radical form?
Hi i know this is late like by 2 years but for future people the answer is
[tex]\frac{\sqrt{30} }{\sqrt{5} }[/tex]
hope this helps other ppl
What is the exact circumference of the circle?
A. 10π feet
B. 20π feet
C. 40π feet
D. 60π feet
circumference of a circle= pi multiplied by the diameter
= 20ft x pi
=20 pi feet so the answer is b
Bill started west on road U.S. 50, riding a bicycle at an average rate of 9 mph. Four hours later Charles started after Bill on a motor cycle and overtook him in 2 hours. What was Charles' rate?
Which equation could be used to solve for Charles' rate if it is represented by x?
A.2x = 36
B.2x = 54
C.6x = 54
Answer: 2x = 54
I got this question correct on my lesson.
To find Charles' rate, we can set up an equation using the formula Distance = Rate x Time. The correct equation to solve for Charles' rate x is 2x = 36.
Explanation:To solve this problem, we can use the equation Distance = Rate x Time. Let's assume that Charles' rate is represented by x. When Charles overtakes Bill, they have traveled the same distance. Bill has been riding for 4 hours at a rate of 9 mph, so his distance is 9 x 4 = 36 miles. Charles overtakes Bill in 2 hours, so his distance is x x 2. Setting the two distances equal to each other, we have 36 = 2x, which simplifies to 2x = 36. Therefore, the correct equation to solve for Charles' rate x is option A, 2x = 36.
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A 1250-kg slippery hippo slides down a mud-covered hill inclined at an angle of 18º to the
horizontal. If the coefficient of sliding friction between the hippo and the mud is 0.0900, what
force of friction impedes the hippo’s motion down the hill? ...?
The length of the rectangle is 2(x+1) meters and the perimeter is 60 meters. Find the length of the rectangle
What is 3/4 x 2/3 in simplest form?
The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
The value of a+b is 1.
Step-by-step explanation:
The given equation is
[tex]x^2-1x-90=0[/tex]
It is given that this equation has two solutions {a,b}.
First of all find the factors of given equation. The middle term can be written as -10x+9x.
[tex]x^2-10x+9x-90=0[/tex]
[tex](x^2-10x)+(9x-90)=0[/tex]
Taking out common from each parenthesis.
[tex]x(x-10)+9(x-10)=0[/tex]
[tex](x-10)(x+9)=0[/tex]
Using zero product property, we get
[tex]x-10=0\Rightarrow x=10[/tex]
[tex]x+9=0\Rightarrow x=-9[/tex]
The value of a is 10 and b is -9. The sum of both the solutions is
[tex]a+b=10-9=1[/tex]
Therefore the value of a+b is 1.
A student is training for the track team during the first three months of the year by running for 30 minutes every day while averaging 5 miles each day. Select the graph that correctly shows the total miles ran during the time of his training program.
Answer:
Graph 2 :)
Step-by-step explanation:
Mary baked 21 cookies on saturday and twice that many on sunday for a school fundraiser. 4 cookies fell on the ground and had to be thrown out. if she packaged 3 cookies to a bag, how many cookies were left over?
what subset of real numbers does 26 belong to
look for the horizontal asymptote of
(sin x)/(1 + cos x).
You have 10 fish, 5 drown, 3 come
back to life. How many fish do you have? ...?
Factor completely 3x3 + 12x2 + 18x.
x2 + 4x + 6
3(x3 + 4x2 + 6x)
3x(x2 + 4x + 6)
x(3x2 + 12x + 18)
Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].
Here,
We have to find factor of [tex]3x^{3} + 12x^{2} + 18x[/tex].
What is Factor?
A number or algebraic expression that divides another number or expression evenly with no remainder.
Now,
Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is,
⇒[tex]3x^{3} + 12x^{2} + 18x = 3x (x^{2} + 4x + 6x)[/tex]
Hence,
Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].
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Use the diagram below to answer the following questions.
The value of x is
The measure of 1 is
The measure of 2 is
The measure of 3 is
The measure of 4 is
The measure of 5 is
The measure of 6 is
The measure of 7 is
The measure of 8 is
Answer:
The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.
Step-by-step explanation:
If two line intersect each other, then vertical opposite angles are same.
[tex]3x+19=5x-29[/tex] (Vertical opposite angles)
[tex]19+29=5x-3x[/tex]
[tex]48=2x[/tex]
Divide both sides by 2.
[tex]24=x[/tex]
The value of x is 24.
Measure of angle 2 is
[tex]\angle 2 =3x+7=3(24)+7=79[/tex] (Vertical opposite angles)
The measure of angle 2 is 79°.
Measure of angle 1 is
[tex]\angle 1 =180-\angle 2=180-79=101[/tex] (Angle 1 and 2 are supplementary angles)
The measure of angle 1 is 101°.
Measure of angle 3 is
[tex]\angle 3 =180-\angle 2=180-79=101[/tex] (Angle 3 and 2 are supplementary angles)
The measure of angle 3 is 101°.
Measure of angle 4 is
[tex]\angle 4 =4x+5=4(24)+5=101[/tex] (Vertical opposite angles)
The measure of angle 4 is 101°.
Measure of angle 5 is
[tex]\angle 5 =\angle 2=79[/tex] (Alternate Interior Angles)
The measure of angle 5 is 79°.
Measure of angle 6 is
[tex]\angle 5 =\angle 6=79[/tex] (Vertical opposite angles)
The measure of angle 6 is 79°.
Measure of angle 7 is
[tex]\angle 7 =180-(5x-29)=180-(5(24)-29)=89[/tex] (Supplementary angles)
The measure of angle 7 is 89°.
Measure of angle 8 is
[tex]\angle 8 =\angle 7=89[/tex] (Vertical opposite angles)
The measure of angle 8 is 89°.
1.) If P = 2l + 2w, the formula to find w is _____
A.) w=P-21
B.) w=P/2-21
C.) w=2(P-21)
D.) w=(P-21)/2
2.)If P is 30 units and l is 10 units, w is units_____
A.) 5
B.) 10
C.) 15
Answer:
d and a
Step-by-step explanation:
Donte simplified the expression below.
4(1 + 3i) – (8 – 5i) = –4 + 8i
What mistake did Donte make?
A.He did not apply the distributive property correctly for 4(1 + 3i).
B.He did not distribute the subtraction sign correctly for 8 – 5i.
C.He added the real number and coefficient of i in 4(1 + 3i).
D.He added the two complex numbers instead of subtracted.
Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55miles per hour, how many hours will it take him to get 3/4 of the way there?
Answer:
Using formula:
[tex]\text{Time} = \frac{\text{Distance}}{\text{Speed}}[/tex]
As per the statement:
Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55 miles per hour.
⇒Speed = 55 miles/hour and Distance = 440 miles.
We have to find how many hours will it take him to get 3/4 of the way there.
Distance to get 3/4 of the way there= [tex]\frac{3}{4} \cdot 440 = 3 \cdot 110 = 330[/tex] miles.
Substitute the given values we have;
[tex]\text{Time} = \frac{330}{55}[/tex]
Simplify:
Time = 6 hours.
Therefore, 6 hours will it take him to get 3/4 of the way there
What percent of 20 is 40??
Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
Using a new lawn mower, Abby can mow the lawn in 2 hours. Her sister Carla used an older lawn mower and takes 3 hours to mow the same lawn. How long will it take them if they work together?
What is the approximate circumference of the circle shown below?
A.102.4 cm
B. 63.4 cm
C. 25.6 cm
D. 51.2 cm
Answer
Formula
[tex]Circumference\ of\ circle = 2\pi r[/tex]
where r is the radius of a circle.
As shown in the image
Diameter of the circle = 16 .3 cm
[tex]Radius\ of\ the\ circle = \frac{16.3}{2}[/tex]
= 8.15 cm
Put in the formula
[tex]Circumference\ of\ circle = 2\pi\times 8.15[/tex]
As
[tex]\pi = 3.14[/tex]
[tex]Circumference\ of\ circle = 2\times 3.14\times 8.15[/tex]
= 51.2 cm (approx)
Therefore the circumference of a circle is 51.2cm (approx) .
Option (D) is correct .
The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}.[/tex] Option (D) is correct.
Further explanation:
The formula for the circumference of the circle can be expressed as follows,
[tex]\boxed{{\text{Circumference of circle}} = 2\pi r}[/tex]
The formula for the area of the circle can be expressed as follows,
[tex]\boxed{{\text{Area of circle}} = \pi {r^2}}[/tex]
Here, “r” represents the radius of the circle.
The relationship between the radius and the diameter can be given by,
[tex]\boxed{r =\dfrac{d}{2}}[/tex]
Here, “d” represents the diameter of the circle.
Given:
The options are as follows.
A.[tex]102.4{\text{ cm}}[/tex]
B.[tex]63.4{\text{ cm}}[/tex]
C.[tex]25.6{\text{ cm}}[/tex]
D.[tex]51.2{\text{ cm}}[/tex]
Explanation:
The diameter of the circle is [tex]16.3{\text{ cm}}.[/tex]
The radius of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}[/tex]
The radius of the circle is [tex]8.15{\text{ cm}}.[/tex]
The circumference of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}[/tex]
The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}[/tex].Option (D) is correct.
Option (A) is not correct as the circumference of the circleis .
Option (B) is not correct as the circumference of the circle is .
Option (C) is not correct as the circumference of the circle is .
Option (D) is correct as the circumference of the circle is .
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Circle
Keywords: Circle, circumference, radius, diameter, area of the circle, angle, sector, arc, approximate.
Simplify √24
A 3√8
B 2√12
C 2√6
D 4√6
how many solutions does the system of equations have 2x = -10y + 6 and x + 5y = 3
Faith is 1/5 get morthers age. their combined ages are 30. how old is faith
Which statement correctly describes a kite
Convert pounds to ounces 12.6 pounds
I don't really know how to do this and I have to explain to my class how I got my answer. Help me!!!
Jordan scores 6 points for every touchdown he makes. This season he has scored 18 touchdowns. Write a number sentence using the variable t to represent the number of points Joran scored this season.
Answer:
18 times 6= t
Step-by-step explanation:
The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following optionsa.Only option A will allow them to meet their goal.b.Only option B will allow them to meet their goal.c.Both options A and B will allow them to meet their goal.d.Neither option A nor option B will allow them to meet their goal.