Answer:
3 times
Step-by-step explanation:
uppose that a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice. What is the probability that the sum of the two rolls equals 5
Answer:
1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Die with 8 sides
This means that the total number of outcomes is [tex]T = 8^2 = 64[/tex]
Outcomes in which the sum of the two rolls is 5:
(1,4), (4,1), (2,3), (3,2)
4 desired outcomes, so [tex]D = 4[/tex]
What is the probability that the sum of the two rolls equals 5?
[tex]p = \frac{D}{T} = \frac{4}{64} = 0.0625[/tex]
1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.
The probability that the sum of the two rolls equals 5 is 1/16
What is probabilityProbability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice, the total outcome will be:
Total outcome = 8^2
Total outcome = 64
For the sum of two rolls, the expected outcome will be:
E = {(1, 4), (4, 1), (3, 2), (2, 3)}
n(E) = 4
Pr(sum of the two rolls is 5) = 4/64
Pr(sum of the two rolls is 5) = 1/16
Hence the probability that the sum of the two rolls equals 5 is 1/16
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fill in the table of values for the equation y = 2x - 3
Answer:
x:0 y: 3
x: 1 y: -1
x: 2 y: 1
Step-by-step explanation:
The coordinates of line is (0, -3), (1, -1) and (2, 1)
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y = 2x - 3
Now, putting x=0
y= -3
and, x= 1
y= 2(1)-3
y = -1
and, x= 2
y=2 (2)- 3
y = 1
Hence, the coordinates of line is (0, -3), (1, -1) and (2, 1)
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Carissa has a 30-year, 5.75% mortgage on her $250,000 home. She has been
paying on it for 5 years, and has recently hit some financial trouble. If her
lender agreed to lower the interest rate on her $231,905.47 balance to 5.25%,
what will her new payment be for the remainder of the loan?
A. $1389.69
B. $1333.09
C. $1330.20
D. $1432.09
Answer:
A. $1389.69
Step-by-step explanation:
To calculate the new monthly mortgage payment that Carissa will start paying going forward, we use the formula for calculating monthly mortgage payments.
The formula is:- M = P { [r ( 1+ r)^n] ÷ [ ( (1+r)^n) -1] }
Here, M is the monthly mortgage payment.
P is the principal
r is the monthly interest rate calculated by dividing your annual interest rate by 12
n is the number of payments(the number of months you will be paying the loan).
Hence, the new principal that Carissa must payback is $231,905.47¢.
The annual interest rate has been reduced to 5.25% from 5.75%.
Therefore, the new monthly interest rate will be obtained by dividing the new annual interest rate by 12
= 5.25%/2
= 0.438%
This is the new monthly interest rate.
Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.
300 is, therefore "n" that is required for the calculation.
All the terms needed for the calculation of her new monthly mortgage are now complete.
P = $231,905.47¢
r = 0.4375%
n = 300
M = 231,905.47 { [0.004375 (1+0.004375) ^300] ÷ [ ( (1+0.004375) ^ 300 ) - 1] }
= 231,905.47 { [ 0.004375 (3.7048) ] ÷ (2.7048) }
= 231,905.47 × 0.005992
M = $1,389.69
Therefore her new monthly mortgage payment will become $1,389.69
Answer: $1389.69
Step-by-step explanation:
a cone has been partially filled with peanuts. The diagram shows the dimensions of the cone. The volume of the peanut-filled portion of the cone is 169.89cm^3. Which measurement is closest to the volume of the empty portion of the cone?
Answer:
126.99 cm³
Step-by-step explanation:
volume of cone = ⅓πr²h ≅ 296.88 cm³
volume of empty portion = 296.88 - 169.89 = 126.99 cm³
Annabelle just answered a help-wanted ad. The ad states that the job
pays $48K annually. What would Annabelle's monthly salary be if she gets
this job?
Answer:
$4,000
Step-by-step explanation:
$48,000 ÷ 12 months = 4,000
1695 concert tickets were sold for a total of $11.190. If students paid $5 and nonstudents paid $8, how many student tickets were sold?
You and a friend went to Glory Days for dinner. You ordered a cheeseburger for $8.50 and a soda for $1.99. Your friend convinced you to share and split the cost of onion rings that cost $7.00. How much did you spend on your dinner?
Answer:
$13.99
Step-by-step explanation:
that's the burger and pop and half the onion rings cost combined
Write an expression that is equivalent to
za
1
a - 4.
1
a
4 =
?
(
|
?
Answer:
½a - 4 = ? ( a - ?)
1a - 8 = -7a ( a - ?)
= ( a- 7a)
= ( -6a)
Can anybody help me pls
Answer:
2,3 i think its been a while scince i did slopes
Step-by-step explanation:
Answer:
it goes 3 to the right
2 to the up
Rise/Run
so it is a 2/3
A baker needs 15lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that contains 10% fat, and another that contains 35% fat. How many pounds of each should a baker combine to fill the order?
Pls help if you answer u will get 40 points
Answer:
136.5 g
Step-by-step explanation:
Can someone help me with my ela assignments plss I need a good grade I’ll pay u 20$ if it’s right
umm... sure but like where's the question?
Question 2
1 pts
if two dice are rolled, what is the probability that the sum of the dots on the upward is 10
Express as a trinomial (x + 3)(3x + 3)
Answer:
3x^2 + 12x + 9
Step-by-step explanation:
3x • x + 3x • 3 + 3 • x + 3 • 3
I just need help on the problem.
Answer:
choice #2) 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
When f (x axis) is 6, look at the y intercept and the value is 2
Find m\angle Am∠Am, angle, A.
Round to the nearest degree.
Answer:
m∠A = 106°
Step-by-step explanation:
All three sides of the triangle are given in the question.
To find the measure of included angle A between two sides we will apply cosine formula,
BC²= AB² + AC² - 2(AB)(AC)cosA
(13)² = (10)² + (6)² - 2(10)(6)cosA
169 = 100 + 36 - 120cosA
cosA = [tex]\frac{-169+136}{120}[/tex]
cosA = -0.275
A = [tex]\text{cos}^{-1}(-0.275)[/tex]
A = 105.96°
A ≈ 106°
Therefore, m∠A = 106° will be the answer.
9) You want to rent a car from Shiny Car Rental. It will cost you a flat fee of $20 plus
$0.17 per mile. What expression would you use to find the total cost in dollars for
driving x miles?
Answer:
Step-by-step explanation:
y = 0.17x + 20
Carlos answered 122 questions correctly on his multiple-choice science final and earned a grade of 61%. How many total questions were on the final exam?
Answer:
200
Step-by-step explanation:
122 is 61%. Of 200
Lucy has 18 pencils. Lucy has 2 more than 4 times the
pencils that Alex has. How many pencils does Alex
have?
Answer:
Alex has a pathetic 4 pencils, everybody laugh at Alex, Lucy supremacy!
Step-by-step explanation:
How do I multiply a number and a half (3.5) with a whole number.
Answer:
Turn the decimal into a fraction and the whole number into a fraction
Step-by-step explanation:
Example: 7/2x56/1
BEST GETS BRAINLIEST +THANKS +POINT PLS HELP
Convert each of mixed number to an improper fraction
Answer:
Top, a through d:
A) 23/8
B) 29/6
C) 23/3
D) 16/5
Step-by-step explanation:
To make the proper fraction improper, first, multiply the whole number by the bottom number in the fraction, then add whatever number was on top of the fraction, so for A, multiply 2 (whole number) by 8 (number on the bottom of the fraction), then add 7 (number on top of the fraction)
Rick buys a remote control car for $25.00 what is his selling price. Markup 19%
Answer:
The selling price is $29.75
Step-by-step explanation:
19% of 25 is 4.75. So you would need to add the 4.74 to the $25 for the sale price.
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the width of a rectangle is half its length. the perimeter is 36 inches. whar are the dimensions of the rectangle
Mn bisects jl at k if jk= x-3 and kl=13-3x
Answer:
138
Step-by-step explanation:
What is the multiplication of fractions of 6x3/8
I need help can someone help? Please
Answer:
25° is the answer pls give brainliest
18 The sides of an isosceles triangle are measured correct to the nearest millimetre.
One side has a length of 8.2 cm and another has a length of 9.4 cm.
Find the largest possible value of the perimeter of this triangle.
Answer:
Step-by-step explanation:
largest perimeter=9.4+9.4+8.2=27.0 cm
or it can be one side=82.4 mm
other sides =94.4 mm
largest perimeter=94.4+94.4+82.4=271.2 mm=27.12 cm
is (-2,-4) a solution of the graphed inequality?
Answer:
Yes
Step-by-step explanation:
The inequality is y<-3x+4
If you plug in (-2, -4), you get:
-4<-3(-2)+4
-4<10
So the point satisfies the equation.
How many square feet of outdoor carpet will
we need for this hole?
?
3 ft
Ift
2 ft
4 ft
2 ft
12 ft
Answer:
40 sq feet
Step-by-step explanation:
(im bad at explaining)
1 x 2 = 2 sq ft
3 x 2 = 6 sq ft
4 x 12 = 48 sq ft
2 sq ft + 6 + sq ft = 8 sq ft
48 - 8 = 40
The amount of outdoor carpet needed = area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle) = 40 ft².
What is the Area of a Rectangle?Area of a rectangle = lenght × width.
The amount of square feet of outdoor carpet needed = area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)
The amount of square feet of outdoor carpet needed = 12 × 4 - (3 × 2 + 2 × 1)
The amount of square feet of outdoor carpet needed = 48 - (6 + 2)
The amount of square feet of outdoor carpet needed = 40 ft²
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Let f be a function for a recursive sequence where the rule f(n + 1) = f(n) + f(n – 1)determines the (n + 1)th term. Given this and the first two terms of the sequence, select each number that is also a term of the sequence.
1,1,...
A.2
B.3
C.4
D.5
E.7
F.9
G.12
H.17
I.21
Answer:
h because
Step-by-step explanation: