Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the rock songs, we have three from a set of eleven, hence:
[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
For the alternative songs, we have four from a set of five, hence:
[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
For the rap songs, we have three from a set of four, hence:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]
Since the songs are independent, the total number of ways is given by:
[tex]T = 165 \times 5 \times 4 = 3300[/tex]
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Help help math math math
Answer: 5a+23
Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.
Answer:
slay
Step-by-step explanation:
slay
Help help help ASAP
Answer:
-8
Step-by-step explanation:
x+2=2(x-1)
_
3
3x+6=2x-2
3x-2x=-2-6
x=-8
Need help with his geometry question. Find the value of x
Answer: 15
Step-by-step explanation:
Laura and Martin obtain a 20-year, $170,000 conventional mortgage at 8.5% on a house selling for $190,000. Their monthly mortgage payment, including principal and
interest, is $1475.60.
a) Determine the total amount they will pay for their house.
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?
C. How much of the first payment on the mortgage is applied to the principle
The total amount of carbohydrates in 3.5 bagels is 167.37 grams. How many grams of carbohydrates would one bagel have?
Answer:
47.82 grams of carbohydrates.
Step-by-step explanation:
3.5 bagels have 167.37 grams of carbohydrates.
1 bagle = ???
In order for 3.5 to be 1 (just as we are asked) we need to divide by 3.5 both the amount of bagles and the amount of carbohydrates.
3.5 / 3.5 = 167.37 / 3.5
1 bagle = 47.82 grams of carbohydrates.
can someone please help me
Like the given triangle is an isosceles triangle, the value of ∠ABC is 72°.
Types of TrianglesThere are 3 main classifications for triangles refer to its sides.
Equilateral triangle - This triangle presents all sides with the same dimensions and the all angles equal to 60°.Isosceles triangle - This triangle presents two sides with the same dimensions and it has two angles with equal size.Scalene triangle - This triangle presents all sides with different dimensions and it has all angles no equal size.The figure shows that the given triangle is an isosceles triangle because it has two equal sides (AB=AC). If it is an isosceles triangle, this triangle presents two sides with the same dimensions (AB=AC). and it has two angles with equal size(∠ACB=∠ABC).
Knowing the sum internal angles of triangle is 180°. You can write:
3x+6x+6x=180
15x=180
x=12
Like ∠ABC=6x, then ∠ABC=6*12=72°.
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Help!!!!!!!!!!!!!!!!!!!!
Ann got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbons at a craft store. The price of the ribbon was 17 cents per yard. If after that purchase there was $10.41 left on the card, how many yards of ribbon did Ann buy?
Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.
How to find the length(yard) from the cost(dollars)She has 15 dollars in her debit card.
She bought bulk ribbons at a craft store.
The price of the ribbon is 17 cents per yards. Therefore,
17 cents = 0.17 dollars
Hence,
Amount debited from her account = 15 - 10.41 = $4.59
Therefore, she spent a total of $4.59 .
The yards of ribbon bought = 4.59 / 0.17
The yards of ribbon bought = 27
Therefore, Ann bought 27 yards of bulk ribbon.
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A birthday cake weighs 7/8 pounds. If 2/3 of the cake is flour, how much is flour
Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions,
a. How much will be in the account after 3 years?
b. How much will be in the account after 18 years?
c. How many years will it take for the account to contain $3,000?
d. How many years will it take for the account to contain $3,500?
Answer:
A: 2977.54
B: 7135.84788228
C: 4
D: 6
Step-by-step explanation:
& TW CV Name: Math Buzz Eden's mom bought 3 cartons of organic eggs at the farmer's market. Each carton holds a dozen eggs. After she got home, she combined the eggs she bought at the market with the 4 eggs left in the refrigerator. Determine the total number of eggs. Write an equation with the lettere to represent the unknown quantity and solve. equation:
Answer:
40 eggs
Step-by-step explanation:
(12 x 3) + 4 = x
36 + 4 = x
40 = x
40 eggs total
Easy math 2 pictures
Answer:
Problem 3: 51°
Problem 5: 5 feet
Step-by-step explanation:
Image 1:
We are asked to find the missing angle. First off, we know that the full semi-circle equals 180 degrees. knowing this, subtract the second angle from 180 to get the smaller angle.
180 - 129 = 51
The unkown angle is 51 degrees.
Image 2:
We are asked to find the missing side. Apply the numbers of the known sides to the Pythagorean Theorem.
a² + b² = c²
a² + 12² = 13²
a² + 144 = 169
a² = 25
a = 5
The missing side is 5 feet.
prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
Answer:
it’s 3 x 2x 5 = 30
Then use that product and times it by 10. ( 10 x 30 )
Ans = 300 cubic centimeters
Step-by-step explanation:
3 x 5 x 2 = 30
30 x 10 = 300
Ans = 300 cubic centimeters
A store pays $25 for an encyclopedia. The store marks up the price by 40%. What is the amount of the mark-up?
Which ratio is less than 7/15?
9/15
2/5
3/5
24/45
Answer:
2/5 :)
Step-by-step explanation:
The diagram shown is two intersecting lines. The measure of 5 is 47°.
Answer:
a) 37º
b) 143º
c) 2x - 5 = 143
Step-by-step explanation:
a) Angles 5 and 7 are vertical angles and therefore have the same measurements.
b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.
c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.
In a circle, a 270° sector has area 300s in? What is the radius of the circle?
.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=300\pi \\ \theta =270 \end{cases}\implies 300\pi =\cfrac{(270)\pi r^2}{360}\implies 300\pi =\cfrac{3\pi r^2}{4} \\\\\\ 1200\pi =3\pi r^2\implies \cfrac{1200\pi }{3\pi }=r^2\implies 400=r^2\implies \sqrt{400}=r\implies 20=r[/tex]
Represent the number 144 in four different ways using repeated multiplication.
example: 4 x 4 x 3 x 3
convert 5'5 into meters
It will be around 1.6metres
hope it helps
Answer:
1.65 meters
Step-by-step explanation:
1 ft = 0.3048 meters
just multiply
Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg. The second heaviest dog weighs 28 kg. How heavy is the third heaviest dog?
The weight of the third heaviest among the four dogs is 2 kg.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.
Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.
29 + 28 + 2 + 1 = 60 kg
The weight of the third heaviest among the four dogs is 2 kg.
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Shaquana owns a small business selling bagels. She knows that in the last week 93 customers paid cash, 7 customers used a debit card, and 5 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Answer:The probability as a decimal to the nearest hundredth is 0.89
Step-by-step explanation:
i just did it and got it right
The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89
What is probability?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."
What is decimal?"A decimal is a fraction written in a special form. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."
We have
Customers paid cash = 93
Customers used debit card = 7
Customers used credit card = 5
Number of favorable outcomes n(S)
= 93
Total number of outcomes n(E)
= 93+7+5
= 105
The probability that the next customer will pay with cash
= [tex]\frac{n(S)}{n(E)}[/tex]
= [tex]\frac{93}{105}[/tex]
= [tex]0.885[/tex]
= 0.89 (nearest hundredth)
Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.
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Can someone please help me with this
Answer:
Vertex: (-1 , 50)
Axis of Symmetry: x = -1
y - intercepts: (0 , 48)
The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number
Answer:
The probability is probably about 55%
Step-by-step explanation:
Paul rents a car for $30 a day. Write an expression to show the relationship between the number of days Paul rents the car and the total dollars (t) he spends?
The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d
How to write expressionsCost of renting a car per day = $30Number of days Paul rents the car = dTotal amount John spends = $tThe equation:
Total = cost per day × number of days
t = 30 × d
t = 30d
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Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They randomly
assigned 400 infected lab rats to receive either the new drug or an existing drug and recorded how many
rats were cured at the end of the study. Here are their results:
Cured
Not
Total
New drug
176
24
200
Existing drug
168
32
200
They want to use these results to construct a 99% confidence interval to estimate the difference in the
proportion of these rats that would be cured under each drug (new - existing). Assume that all of the
conditions for inference have been met.
Which of the following is a correct 99% confidence interval based on their data?
Choose 1 answer:
8 +0.068
Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval is (-0.049, 0.129).
What is the mean and the standard error for the distribution of differences?For each sample, we have that:
[tex]p_N = \frac{176}{200} = 0.88, s_N = \sqrt{\frac{0.88(0.12)}{200}} = 0.023[/tex]
[tex]p_E = \frac{168}{200} = 0.84, s_E = \sqrt{\frac{0.84(0.16)}{200}} = 0.0259[/tex]
Hence, for the distribution of differences, the mean and the standard error are given as follows:
[tex]p = p_N - p_E = 0.88 - 0.84 = 0.04[/tex]
[tex]s = \sqrt{s_N^2 + s_E^2} = \sqrt{0.023^2 + 0.0259^2} = 0.0346[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
Then:
[tex]p - zs = 0.04 - 2.575(0.0346) = -0.049[/tex]
[tex]p + zs = 0.04 + 2.575(0.0346) = 0.129[/tex]
The 99% confidence interval is (-0.049, 0.129).
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Answer: 0.04, 0.089
Step-by-step explanation:
Apply
7. Mr. Miller is tiling his shower floor. The blueprint of the shower
floor shown uses a scale of 1 inch 3 feet. If the tile costs
$5.99 per square foot, how much will it cost to tile the
bathroom? Round to the nearest cent if necessary. The bathrooms height is 1.25 inches in the blueprint. The bathrooms width is 1.5 inches in the blueprint
$. 101.08
Step-by-step explanation:[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]
[tex]=16.875ft^2X[/tex]
[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]
[tex]Cost=\$101.08y.[/tex]
I hope this helps you
:)
Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.
How to calculate area of the shower floor?In that case we use the concept of area of rectangle.
The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.
In mathematical terms, the formula for calculating the area of a rectangle is:
Area = Length x Width
To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.
1 inch on the blueprint represents 3 feet, so:
Height of shower floor = 1.25 inches * 3 feet/inch
Height of shower floor = 3.75 feet
Width of shower floor = 1.5 inches * 3 feet/inch
Width of shower floor = 4.5 feet
The area of the shower floor is then:
Area = Height * Width
Area = 3.75 feet * 4.5 feet
Area = 16.875 square feet
So the cost of tiling the bathroom would be:
Cost = Area * Cost per square foot
Cost = 16.875 square feet * $5.99/square foot
Cost = $100.86
Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.
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may anyone please help me with this too , thank you so much
7) 7bc cubed
8) 6x to the power 8
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the value of 7p7 ?
A: 1
B: 14
C: 49
D: 5040
Answer: 5040
Step-by-step explanation:
7•6•5•4•3•2•1=5040
The mathematics faculty at a college consists of 12 professors, 6 associate professors, 9 assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer: [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
P(a) or P(b) = P(a) + P(b)
This means that the probability of a or b is the same of the probability of a plus b
So let's see the probability of a, selecting a professor
[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]
We won't simplify just yet so that addition will be easier later
Now let's see the probability of selecting b, an instructor
[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]
Now add the 2 probabilities together
[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]
Simplify.
[tex]\frac{20}{35} =\frac{4}{7}[/tex]
Solve for X and Y 1. y = 2x
6x + 3y = 12
2. y = -4x + 2
y = 6x - 8
3. y = x - 4
-4x - 6y = -16
4. x = 3y + 1
2x + 4y = 12
Answer:
Step-by-step explanation:
1. If y =2x
solve for y in (6x +3y) = 12
6x + 3(2x) = 12, 6x + 6x =12
12x = 12 , x= 1
to find y , from y =2x
y = 2(1) , ( x = 1 and y = 2)
2. y = -4x + 2
y = 6x -8
y = (-4x + 2)(6x-8)
= -4x ( 6x -8) + 2(6x-8)
-24[tex]x^{2}[/tex] + 32x + 2(6x-8)
-24x2 + 44x - 16
3. y = x -4
-4x -6y = -16
-4x - 6(x - 4) = -16
-4x - 6x - 24 = -16
-10x - 24 = -16
-10x = -16 + 24, -10x = -8
x = 0.8 , to get y , we input x value into eqn(y = x-4)
y = 0.8 -4, y = -3.2
x = 0.8, y = -3.2.
4. x = 3y + 1
2x + 4y =12
2(3y + 1) + 4y = 12
6y + 2 + 4y = 12
10y + 2 = 12
10y = 12 -2
10y = 10
y = 1, to get x
x = 3y + 1
x = 3(1) + 1 , x = 4
( x = 4 and y = 1).