Answer:
[tex]Probability = \frac{2}{9}[/tex]
Step-by-step explanation:
Given:
A pair of dice
Required
Determine the probability of a sum of 5 or 9
Let the sample space of the first die be S1 and the second, S2
[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
[tex]S_2 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
Number of sample space, n is:
[tex]n = 6 * 6[/tex]
[tex]n = 36[/tex]
Next, we list out all possibilities of obtaining a sum of 5
[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]
n(Sum5 )= 4
Next, we list out all possibilities of obtaining a sum of 9
[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]
n(Sum9)= 4
The required probability is then calculated as:
[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]
[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]
Take LCM
[tex]Probability = \frac{4+4}{36}[/tex]
[tex]Probability = \frac{8}{36}[/tex]
Simplify
[tex]Probability = \frac{2}{9}[/tex]
I really need help plz
Answer:
I think answer is A
Step-by-step explanation:
Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.
a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?
A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)
Answer:
c or d
Step-by-step explanation:
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?
Plz answer corecctlt 4 1⁄6 ÷ 1 1⁄3 = and also give the mixed fraction
Answer:
The answer is 0.5 and the Mixed Fraction is 1/2
Step-by-step explanation:
Answer:
3 1/8
Step-by-step explanation:
im only answering this late incase if someone else is looking for the right answer
Helppppp
Thank You!!!
Answer: B and C
Step-by-step explanation: To start off, you subtract 3 from both sides, to get 4<z/2, then multiply both sides by 2, you get z>8. Now it's greater than 8, so it can't equal 8, so the answers would be B and C, since they are both greater than 8, and you have to select multiple choices.
I need help solving this
Answer:
I think it's C.
Step-by-step explanation:
The Correct and Right Answer Is C
Two candidates ran for class president. The candidate that won received 60% of the 380 total votes. How many votes did the winning candidate receive?
this all my points pls dont troll;-;
Answer: 228
Step-by-step explanation:
10% of 380 is 38.
The winning candidate got 60% of the votes.
So, we will multiply 38 by 6.
38 x 6 = 228
The answer to the question is 228.
If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?
Answer:
The remainder is: f(-1) = -4
Step-by-step explanation:
We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)
Given the function
[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]
It is stated that the function f(x) is divided by x + 1.
Thus, substituting x = -1 in the function to find the remainder f(-1)
i.e
f(-1) = (-1)⁴ - 5
f(-1) = 1 - 5
f(-1) = -4
Therefore,
The remainder is: f(-1) = -4
Answer:
9
Step-by-step explanation:
What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?
13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.
Answer:
Step-by-step explanation:
63
1/7x-5=4
1/7x=9
X=63
What is 10and 1 half divided by 7 eights
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
10 1/2 / 7/8= 12
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
Select all of the fractions that are equivalent to -2/3
o 2/-3
o -3/-2
o -2/-3
o - 2/3
o -3/2
o -2/2
Please helppp
Answer:
Step-by-step explanation:
⇒o 2/-3 Doesn't matter where the minus is as long as there an odd numbere of them.
o -3/-2
o -2/-3
⇒o - 2/3 This is given. Is it really listed.
o -3/2
o -2/2
There really are only 2 of them. 3/2 in any form is not equal to 2/3.
-2/2 = - 1 not -2/3
-2/-3 There are an even number of - signs. The answer is 2/3
Richardo had saved $80 from his summer job to buy video games. He
bought 4 games and the cashier gave him $16.40 in change. If each
game cost the same amount, how much was each game?
Leave off the dollar sign in your answer.
Answer:
$15.90
Step-by-step explanation:
80 - 16.40 = 63.60
63.60÷4 =15.9
15.9 = $15.90
What is the solution to this equation?
9x + 5 = 86
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
rationalise the denoninator of 1 ÷ 5 - square root of 2
Answer:
Square root2 /3
Step-by-step explanation:
1. Multiply both numerator and denominator by square root of 2.
2. Square root 2 times itself is just 2 that so denominator is 5-2
3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2
4. 5-2=3 so final answer is Square root 2 over 3
Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.
Answer:
-1.6
Step-by-step explanation:
4 + 10x = -12
10x = -12 -4
x= -1.6
Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.
Answer:
1 mile
Step-by-step explanation:
Step one:
given
total distance = 15miles
Jack walks at a pace of 1.5 miles per hour
after 4 hours he will cover a distance of
1.5*4= 6 miles
Jill walks at a pace of 2 miles per hour
after 4 hours he will cover a distance of
2*4= 8 miles
Step two:
The total distance jack and jill must have covered after 4 hours is
8+6= 14 miles
the distance apart will be 15-14= 1 mile
If a population grows by 69%, what is the multiplier?
What is the slope of the line represented by 3x - 7y = 28?
16x – 20y
20y = 60
Slope intercept form
Answer:
16x=60
X=15/4
Step-by-step explanation:
guys pls i post two more questions that i dont kno and i want to pass my test sorry ,but they are important
Which of the following expressions are undefined? CHOOSE ALL THAT APPLY
A. 6/0
B. 5/0
C. 6/5-5
Answer:
6/0, 5/0, 6/5-5
Step-by-step explanation:
You cannot divide a number by 0:
6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0I need help! and someone to tell me how to do it
step by step i have my exams tmr!
Answer:
Step-by-step explanation:
if you look at the graph 0-3 is positive
so that gives us 3+
3-2(you count 3 to -2 is negative since it goes left
so that gives us 3+(-5)
thks
Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
Given the quadratic equation: f(x) = x2+4x-21
What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY
[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]
These are x-intercepts form. So the answer is (x+7)(x-3).
A college student mows lawns to cover his weekly expenses. The student charges $10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows
Answer:
A. and C.
Step-by-step explanation:
exact decimals of 7 5/6
Answer:
7.83 repeating
Step-by-step explanation:
Cal’s