Two dice are rolled. What is the probability that the sum of the numbers rolled is either 3 and 8? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest million
Answers
The two dice have 6 numbers each.
Look at the image to find the outcomes:
First, we need to find the total of outcomes with the sum of 3:
T. outcomes with the sum of 3 = 2
Now, find the total of outcomes with the sum of 8 = 5
When we ave in probability the expression "or" we add the probabilities:
In this case,
T. outcomes with the sum of 3 + T. outcomes with the sum of 8.
Replace the values and sum:
P = 2 +5
P = 7
Now, to find the probability divide it by the total of outcomes
Total outcomes= 36. because 6 * 6 = 36
P( sum being 3 or 8) = 7/36
Related Questions
Donna earns a commission. She makes 3.5% of the amount she sells. Yesterday she sold a $800 recliner. How much was her commission.
Answers
Amount sold = $800
Commission = 3.5%
To calculate the commission amount, multiply $800 by the commission percentage in decimal form (divided by 100)
800 x (3.5/100)= 800 x 0.035 = $28
Find the distance between the pair of parallel lines with the given equations.y = -5xy = -5x + 26A) 5 unitsOB) 10V2 or about 14.14 unitsOC)/26 or about 5.10 unitsO D) 6 units
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For two lines of the form:
[tex]\begin{gathered} y_1=a_1x+c_1 \\ \text{And} \\ y_2=a_2x+c_2 \end{gathered}[/tex]The distance between the two lines is:
f(x) = log x + 2 and g(x) = log (1/x). Find (f – g) (x).log x -2 – log (1/x)22 log x + 2(2/log x) + 1
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We have to find (f-g)(x) given that f(x) = log x + 2 and g(x) = log(1/x).
We can find it as:
[tex]\begin{gathered} (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=\log x+2-\log(\frac{1}{x}) \\ (f-g)(x)=\log x+2-(\log1-\log x) \\ (f-g)(x)=\log x+2-0+\log x \\ (f-g)(x)=2\log x+2 \end{gathered}[/tex]Answer: 2log(x) + 2
homework 7.5 solving radical equations
6=(2x+34)^1/2
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Answer:
x=1
Step-by-step explanation:
In the equation 3x2 + 6x = 12, the value of c is
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Explanation:
The general quadratic equation is given below as
[tex]ax^2+bx+c=0[/tex]The equation given in the question is given below as
[tex]3x^2+6x=12[/tex]By reaaranging the equation into the standard form, we will have
[tex]3x^2+6x-12=0[/tex]Hence,
The value of c is
[tex]c=-12[/tex]What is the range of the function shown on the graph?уO642-6X-4- 226826-8OA -00
Answers
SOLUTION
Looking at the graph, the range is from - 6 on the y-axis and from there going upwards the y-axis. That is y at - 6 to infinity.
So, the range is
[tex]-6So, the correct answer is option B.
Gillian works from 23 to 33 hours per week during the summer. She earns $12.50 per hour. Her friendEmily also has a job. Her pay for t hours each given is given by the function e(t) = 13t, where 18 st 3 28.Find the domain and range of each function. Then compare their hourly wages and the amount they earnper week.
Answers
The domain for g(t) is [23,33]
The domain for e(t) is [18,28]
The range for g(t) is [287.5,412.5]
The range for e(t) is [234,364]
Linear Inequalities (Level 1)Sep 30, 10:57:41 PMWatch help videoSolve the following inequality for p. Write your answer in simplest form.8p + 10 > -5p - 1P
Answers
Solve the following inequality for p. Write your answer in simplest form.
8p + 10 > -5p - 1
group terms
8p+5p > -1-10
13p > -11
p > -11/13
What is the slope of a line that goes through (2,6) and (4,12)?
Answers
Answer:
Slope = 3
Explanation:
To determine the slope of the line that goes through the given points: (2,6) and (4,12), we use the slope formula.
[tex]\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}[/tex]Substituting the points, we have:
[tex]\begin{gathered} \text{Slope}=\frac{12-6}{4-2} \\ =\frac{6}{2} \\ =3 \end{gathered}[/tex]The slope of the line is 3.
find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. x^2+10x+n
Answers
From the problem, we have :
[tex]x^2+10x+n[/tex]To make it a perfect square trinomial, we will use the formula :
[tex]n=(\frac{b}{2a})^2[/tex]and we can factor the trinomial as :
[tex](x+\frac{b}{2a})^2^{}[/tex]a = 1 and b = 10
so n will be :
[tex](\frac{b}{2a})^2=(\frac{10}{2\times1})^2=5^2=25[/tex]The value of n is n = 25
and the factor of the trinomial will be (x + 5)^2
Answer: the answer is (x + 5)^2
Step-by-step explanation:
Hi I need help with this i’m in a hurry so can you please just tell me the answer lol sorry i’m just in a little rush
Answers
Step 1
In the example why is the area of one triangle multiplied by 2.
This is because the hexagon is divided into one rectangle and 2 congruent triangles. Therefore, the area of the two triangles will be the same since they are congruent triangles. In order to get the area of the hexagon, the area of one of the triangles is mutiplied by 2 and added to the area of the rectangle.
Step 2
Find the dimension of one of the shaded triangle from Bev's pattern.
[tex]\begin{gathered} \\ \text{For Bev's triangle;} \\ \text{base}=4 \\ \text{height}=3 \\ Slantheight^2=(\text{ }\frac{base}{2})^2+height^2 \\ Slantheight^2=(\frac{4}{2})^2+3^2 \\ Slantheight^{}=\sqrt[]{2^2+9} \\ Slantheight=\sqrt[]{13}\text{unit} \end{gathered}[/tex]The dimensions will therefore be;
[tex]\begin{gathered} \text{base= 4unit} \\ \text{slant height=}\sqrt[]{13}unit \\ \text{slant height=}\sqrt[]{13}unit \end{gathered}[/tex]What can you say about the shaded area of all the shaded triangles in Bev's pattern.
[tex]\begin{gathered} \text{Area of given triangle=6unit}^2 \\ \text{Area of Bev's triangle=}\frac{1}{2}\times4\times3=6unit^2 \end{gathered}[/tex]The area of all shaded triangles in Bev's pattern are equal. This is because all the shaded triangles have the same dimensions and can be said to be congruent. Hence, they will have the same area.
Steven flew from Boston to Orlando with a stop in Atlanta to switch planes. His first flight leftBoston at 12:00 P.M. and was 3 hours and 45 minutes long. Steven was in Atlanta for 2 hours and 30 minutes, and his flight from Atlanta to Orlando was 1 hour and 30 minutes long. Whattime was it when Steven landed in Orlando?
Answers
Answer:
07:45 pm
Explanation:
Steven landed in Orlando after the sum of the following time
3 hours and 45 minutes
2 hours and 30 minutes
1 hour and 30 minutes
If we add the hours and the minutes, we get:
3 hours + 2 hours + 1 hour = 6 hours
45 minutes + 30 minutes + 30 minutes = 105 minutes
But 1 hour = 60 minutes, so
6 hours and 105 minutes = 7 hours and 45 minutes
because
105 - 60 = 45
Since the flight left Boston at 12:00 pm, it was 07:45 pm when Steven landed in Orlando.
1. Smoesnail crawls at 3/25 m.p.h. At this rate, how far can he get in 1 2/3 hours?
Answers
Answer:
[tex]\frac{1}{5}\text{ miles}[/tex]Explanation:
Here, we want to get the distance the snail can go in the given time
Mathematically, we have it that:
[tex]\text{Distance = sp}eed\text{ }\times\text{ time}[/tex]speed = 3/25 mph
Time = 1 2/3 hours = 5/3 hours
Thus, we have it that:
[tex]\text{Distance = }\frac{3}{25}\text{ }\times\frac{5}{3}\text{ = }\frac{1}{5}\text{ miles}[/tex]Annie has 13 yards of string. She uses 12 1 yards to fix her backpack. About how much string does she have left? 9 10
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Annie will be left with 0.9 yd of string with her.
What is subtraction?In maths, to subtract means to take away from a group or a number of things.
Given that, Annie had a string of 13 yd, and she used 12.1 yd of the string for her backpack.
The length of string left with her after using for backpack = 13-12.1 = 0.9 yd
Hence, Annie will be left with 0.9 yd of string with her.
For more references on subtraction, click;
https://brainly.com/question/2346316
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Ignore the 58.I just need to find the m
Answers
The angles in the question are vertically opposite angles and Vertically opposite angles are equal.
Therefore,
[tex]\begin{gathered} (12x-37)^0=(9x+5)^0 \\ by\text{ collecting like terms we will have} \\ 12x^0-9x^0=5^0+37^0 \\ 3x^0=42^0 \\ \text{divide both sides by 3} \\ \frac{3x}{3}=\frac{42}{3} \\ x=14^0 \end{gathered}[/tex][tex]\begin{gathered} to\text{ measure }\angle y \\ 12x-37+y=180^0 \\ \text{substitute x=}14^0\text{ in the above equation to get y} \\ 12(14)-37^0+y^0=180^0 \\ 168^0-37^0+y=180^0 \\ 131^0+y=180^0 \\ y=180^0-131^0 \\ y=49^0 \end{gathered}[/tex]Therefore,
[tex]\angle y=49^0[/tex]Suppose a jar contains 6 red marbles and 27 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.
Answers
SOLUTION
Now the jar contains 6 red marbles and 27 blue marbles
Total number of marbles is
[tex]6+27=33\text{ marbles }[/tex]Now taking two red marbles at random means the first marble is red and the second marble is red.
Probability that the first marble is red is
[tex]\begin{gathered} =\frac{\text{ number of red marbles }}{\text{ total number of marbles}} \\ =\frac{6}{33} \end{gathered}[/tex]After taking the first red marble, we will have 5 red marbles remaining and a total of 32 marbles remaining
So probability of picking the second marble is
[tex]\begin{gathered} =\frac{\text{ number of red marbles remaining }}{\text{total number of marbles remaining }} \\ =\frac{5}{32} \end{gathered}[/tex]So probability both marbles are red means the first is red and the second is red.
And here means we have to multiply, this becomes
[tex]\begin{gathered} \frac{6}{33}\times\frac{5}{32} \\ =\frac{5}{176} \end{gathered}[/tex]Hence the answer is
[tex]\frac{5}{176}[/tex]the function g is a transformation of f. The grab below shows us as a solid blue line and g as a dotted red line. what is the formula of gA) g(x) =(x/2+1)²-3B) g(x) =(2x+1)²-3C) g(x) =(x/2-1)²-3D) g(x) =(x/2+1)²+3
Answers
First we notice that the vertex of the parabola is shift one unit to the left and three units down. To begin we need to remember the following rules:
Suppose c>0. To obtain the graph of
y=f(x)+c, shift the graph of f(x) a distance c units upwards.
y=f(x)-c, shift the graph of f(x) a distance c units downward.
y=f(x-c), shift the graph of f(x) a distance c units to the right.
y=f(x+c), shift the graph of f(x) a distance c units to the left.
Once we have this rules and knowing that the vertex move like we mentioned before we have that the new function should be of the form:
[tex]f(x+1)-3[/tex]From the graph we also notice that the function g is stretch by a factor of two, remembering the rule for stretching graphs:
If c>1 then the function y=f(x/c), stretch the graph of f(x) horizontally by a factor of c.
With this we conclude that the function g has to be of the form:
[tex]f(\frac{x}{2}+1)-3[/tex]Finally, we notice that the function f is:
[tex]f(x)=x^2[/tex]Threfore,
[tex]g(x)=(\frac{x}{2}+1)^2-3[/tex]then the answer is A.
HAve a nice day !
Error Analysis .... Your friend knows that <1 and <2 are complementary and that <1and <3 are complementary. He concludes that <2 and <3 must becomplementary. What is his error in reasoning? *
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
We must analyze the problem to find the error.
Data
∠1 + ∠2 = 90
∠1 + ∠3 = 90
Step 02:
∠1 = 25
25 + ∠2 = 90
∠2 = 90 - 25
= 65
∠1 = 25
25 + ∠3 = 90
∠3 = 90 - 25
= 65
∠2 + ∠3 = 130
The answer is:
∠2 = ∠3
Angle 2 and angle 3 are equal, but they are not always complementary.
which functions are correctly graphed?
Answers
Solution
final answer is.
Choice A, C ,D
Given b(x) = [X+41, what is b(-10)?O-10O -614
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Given : b(x) = | x + 4 |
So, to find b(-10) , substitute with x = -10 at the function b(x)
So, b(-10) = | -10 + 4 | = | -6 | = 6
Hi , i need help with this question: what is the anwser to the division problem. 9÷4590
Answers
Problem
what is the anwser to the division problem.
9÷4590
Solution
We have the following number given:
[tex]\frac{9}{4590}[/tex]The first step would be simplify the fraction and we can divide both numbers by 9 and we got:
[tex]\frac{9}{9}=1,\frac{4590}{9}=510[/tex]So then our fraction becomes:
[tex]\frac{1}{510}[/tex]And if we convert this into a decimal we got 0.00196.
I need help with this question please. Just ignore the wording below it
Answers
f(x) = x² + 5x - 66
Explanation:The zeros of the quadratic equation are -11 and 6
Thsi means that:
x + 11 = 0
x - 6 = 0
The function will therefore be found as:
f(x) = (x + 11)(x - 6)
Expanding the function above
f(x) = x² - 6x + 11x - 66
f(x) = x² + 5x - 66
Therefore, the quadratic function that is in standard form and has zeros -11 and 6 is:
f(x) = x² + 5x - 66
A bicycle has a listed price of $521.99 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.Round your answer to the nearest cent, as necessary.
Answers
Total cost of the bicycle with sales tax included = $561.14
STEP - BY - STEP EXPLANATION
What to find?
The total cost of the bicycle with sales tax included.
Given:
Price of bicycle before tax = $521.99
Tax rate = 7.5%
To solve the given problrm, we will follow the steps below:
Step 1
Calculate the amount of the tax rate.
[tex]\text{amount of tax rate =}\frac{7.5}{100}\times521.99[/tex][tex]=\frac{3914.925}{100}[/tex][tex]=39.14925[/tex]Step 2
Add the amount of tax obtained in step 1 to the price of bicycle before tax.
[tex]\text{Total tax =price of bicycle before tax+tax}[/tex][tex]=521.99+39.14925[/tex][tex]\approx561.14[/tex]Therefore, the total cost of the bicycle with sales tax included is $561.14
Figure DEFG is a parallelogram.If m
Answers
Given
DEFG is a parallelogram and
Answer
Since adjacent angles of parallelogram are supplementary
D+E = 180
30 + E = 1`80
E = 180- 30 = 150
1/4 -86.205/4.121121112....123253^2/5 [tex] \sqrt{ \frac{4}{9} } [/tex][tex] \sqrt{20} [/tex]-1/2[tex]\pi[/tex].1223334444....16666....[tex] ^{3} \sqrt{27} [/tex][tex] - \sqrt{25} [/tex][tex]3\pi[/tex][tex] \binom{12}{4} [/tex][tex] \sqrt{17} [/tex]Okay finally tell me which numbers go in :Natural NumbersWhole Numbers Integers Rational Numbers Irrational Numbers
Answers
Natural numbers are the non-negative integers
So we will put inside its circle all the positive integers and zero
Let us find them using the 1st picture
there are 0 and square root 36 because its value is 6
Whole numbers are positive numbers only
So we can put 0 in a natural circle and 6 in the whole part and 12/4 because it equals 3
Integers are positive and negative whole numbers
We have -8 and - square root 25 because it equals -5
So put -8 and - square root 25 in the integer circle
Rational numbers are all numbers can but in the form of the fraction
So we will choose the number with decimal or fraction
6.2, -1/2, 2.21 on the rational part
The rest of the numbers are irrational numbers
Put them in the part of irrational numbers
For a field trip 22 students rode in cars and the rest filled 5 buses how many students were in each bus if 317 students were on the trip.
Answers
We have to find how many students were in each bus.
We can call this quantity "x".
The total number of students is 317.
This quantity can be divided in the number of students that rode in cars, 22, and the rest went in 5 buses.
The quantity that rode in bus can be expressed as 5x.
Then we can write:
[tex]22+5x=317[/tex]We can solve this as:
[tex]\begin{gathered} 22+5x=317 \\ 5x=317-22 \\ 5x=295 \\ x=\frac{295}{5} \\ x=59 \end{gathered}[/tex]Answer: there were 59 students in each bus.
Find the slope from the tableA. 3B. 2C. -3D. -1
Answers
Use 2 of the given ordered pairs to find the slope of the function. Use the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Where y2 and y1 are the y coordinates of the ordered pairs and x2 and x1 are the x coordinates. Replace for the given values:
[tex]m=\frac{2-5}{-2-(-3)}=-\frac{3}{1}=-3[/tex]The slope of the function is -3.
Use the number line to answer the question. Each tick represents 1.Which point is located at 2?PQSnone of the above
Answers
Given that each tick represents 1. The numbers on the right of 0 are positiv and on the left of 0 are negative. SInce 2 is positive, 2 lies on the right side of 0.
Since each tick represents 1, the first tick represents 0+1 = 1.
Now, the second tick represents 0 + 2 = 2. The second tick on the right of 0 denoted as S.
The correct option is S.
Instructions: For the given polynomial, select eachstatement that applies regarding end behavior.
Answers
Solution:
Given:
[tex]f(x)=-x^4-21x^2-2x+3[/tex]To get the end behaviour of the polynomial, we plot the function using a graphing calculator and see how it behaves.
The function is graphed as shown in the image below,
From the image above, the vertex of the curve shows a rise towards the left.
Hence, the end behaviour is that it rises to the left.
what's the difference between a coefficient and a variable
Answers
we have that
variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression. Coefficients are the number part of the terms with variables
example
5x
In the term 5x
x is the variable
5 is a coefficient
