Answer:
a.4845ways.
b. 14535ways.
c. 3990ways
d. 1140ways
Step-by-step explanation:
Given data:
No of flavors available to customers = 20.
Solution:
This is permutation and combinations problem,
(a) how many ways can the customers choose 4 different ice creams if they are all of different flavors.
20C4
= n!/(n-k)!)k!
= 20!/(20-4)!)4!
= 20!/(16)!)4!
= 4845ways.
b) are not necessarily of different flavors
Let’s say any two same flavors can be chosen.
20C4 * 3!/2!
= 4845 * 3
= 14535ways.
c) contain only 2 or 3 flavors.
= 20C3 * 3!/2!
= 1140 * 3
= 3420
20C2 * 3
= 190 * 3
= 570.
No of 2 or 3 different flavors
= 3420 + 570
= 3990ways.
d) contain 3 different flavors.
20C3
= n!/(n-k)!)k!
= 20!/(20-3)!)3!
= 1140ways.
Given that lines P & R are parallel, find the values of x and y.
Answer: Y = 17 and X = 43
Step-by-step explanation:
p and r are parallel meaning both angles are the same.
So
3y = 51
divide them by 3
y = 17
Now we take 51 from 180 and we get 129
129 divided by 3x is
x = 43
Step 3 out of 5:
Multiply
7/3 times 3/2=
7/3 times 1/2=
Answer:
Input Data :
Fraction A = 8383
Fraction B = 7272
Objective :
Find the product of fractions?
Formula :
Solution :
83×7283×72 = ?
Mutiply both numerators & denominators
83×7283×72= 8×73×28×73×2 = 566566
Simplify above fraction 566566
Common divisor of (56, 6) is 2
Divide both numerator & denominator by gcd value 2
566=56÷26÷2=283566=56÷26÷2=283
83×72=283
Determine the slope and y-intercept of the line.
y = -69x - 346
a.
Slope = -346, y-intercept is (0, -69)
c.
Slope = -69, y-intercept is (0, -346)
b.
Slope = 69, y-intercept is (0, -346)
d.
Slope = -346, y-intercept is (0, 69)
Answer:
Slope = -69, y-intercept is (0, -346)
Step-by-step explanation:
y=-69x-346
x=0
y= -69(0)-346
y=0-346
y=0
sople -69 coefficient of x
Answer:
c
Step-by-step explanation:
A product code consists of four letters followed by five digits. Only the letters X, Y, and Z can be used ( and any of the digits 0,1,2,3,4,5,6,7,8,9 can be used). For example, XYXZ31513, ZYZZ90654, YYYY44444 are possible product codes.
If one such product code is chosen at random, what is the probability it includes the letter Y?
Answer:
[tex]\frac{49}{81}[/tex], 60.494%
Step-by-step explanation:
I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.
We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.
_ _ _ _ _ _ _ _ _
For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot
so
3*3*3*3 * 10*10*10*10*10
= 81*100000
= 8100000
The number of Y's will never affect the number of permutations of the numbers.
So:
For 1 y, we have
Y _ _ _ * 10*10*10*10*10
But we also have
_ Y _ _
_ _ Y _
and
_ _ _ Y
So we can multiply the number we get in one calculation by 4
4 *
Y _ _ _ * 10*10*10*10*10
2*2*2 * 10*10*10*10*10
= 800000 * 4 = 3200000
For 2 y's, we have
YY _ _
_ YY _
__ YY
3*
YY 2*2 * 10^5
4 * 100000
400000 * 3 = 1200000
For 3 y's, we have
YYY _
_ YYY
2 *
YYY 2 * 10^5
200000 * 2
= 400000
For 4 y's, we have
YYYY * 10^5
100000
Now we can add them all up and divide it by our original number 8100000
[tex]\frac{100000 + 400000 + 1200000 + 3200000}{8100000} = \frac{49}{81}[/tex]
Could someone help me out?
Answer:
15
Step-by-step explanation:
Answer:
The value of x is 28cm.
Step-by-step explanation:
Area of a trapezium = ½h(a + b)
240 = ½×12×(12 + x)
240 = 6(12 + x)
240 = 72 + 6 x
240 - 72 = 6x
168 = 6x
168/6 = x
28 = x
Which right triangle has a perimeter that is an irrational number
Answer:
Step-by-step explanation:
Therefore, the set of numbers can be measures of a triangle. ... a triangle with the given measures will be a right triangle. ... The perimeter is the sum of the lengths of the three sides. ... an area of 2 square units, the irrational number √2 is.
A man bought 20 dozens of eggs at 90.00 Ghana cedies a dozen and sold them at 1.20 Ghana cedies a dozen. Find his gain percent
Answer:
33.33%
Step-by-step explanation:
Given that CP for 20dozen = 20×90
= 1800
SP = 20×120
= 2400
Gain % = (Gain / CP) ×100
Gain = SP-CP
So is the selling price
Cp is the cost price
Hence Gain = 2400-1800
Gain = 600
Gain% = 600/1800 ×100/1
= 0.333×100/1
= 33.33%
Hence his percentage gain will be 33.33%
Since the question stated that percentage gain is to be calculated, I believe the sell price should be higher than the cost price. Hence 1.20 Cedis would not work so I used 120 Cedis instead. Thanks
Find the time required for an investment of 5000 dollars to grow to 8300 dollars at an interest rate of 7.5
percent per year, compounded quarterly.
Your answer is t =
years.
You may enter the exact value or round to 2 decimal places.
Answer:
1.60 (rounded)
Step-by-step explanation:
I haven't done this in a while but you'd use the compound interest formula a=p(1+r)^n where a=8300 p=5000 r=0.075 and solve for n
The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outdoor temperature. A graph titled Hours at Pool has Outside Temperature (degrees Fahrenheit) on the x-axis and Number of Hours at Pool on the y-axis. Point (90, 2) is outside of the cluster. Which data value would cause the interpretation of the data set to be understated? (20, 1) (55, 6) (90, 2) (95, 8)
Answer:
I THINK IT'S C!!!
Step-by-step explanation:
EDGE 2020
The answer is C, or (90,2)
find two number closest to 5000 that are divisible by 36,21,and 12
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Step-by-step explanation:
(i) 12 months × fixed salary
= 12 × 3140
= 37680 $
(ii) commission = total × 2%
= 720000 × 0.02
= 14400 $
(iii) fixed salary + commission
= 37680 + 14400 = 52080 $
-x + 2y = 21
5x + 6y = 23
Answer:
(-5, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equation by graphingStep-by-step explanation:
Step 1: Define systems
-x + 2y = 21
5x + 6y = 23
Step 2: Rewrite systems
-x + 2y = 21
Subtract 2y on both sides: -x = 21 - 2yDivide -1 on both sides: x = -21 + 2yRearrange: x = 2y - 21Step 3: Redefine systems
x = 2y - 21
5x + 6y = 23
Step 4: Solve for y
Substitution
Substitute in x: 5(2y - 21) + 6y = 23Distribute 5: 10y - 105 + 6y = 23Combine like terms: 16y - 105 = 23Add 105 on both sides: 16y = 128Divide 16 on both sides: y = 8Step 5: Solve for x
Define original equation: 5x + 6y = 23Substitute in y: 5x + 6(8) = 23Multiply: 5x + 48 = 23Subtract 48 on both sides: 5x = -25Divide 5 on both sides: x = -5Step 6: Graph systems
Check the solution set.
) Encuentra dos números consecutivos cuya suma sea 57.
Answer:
k
Step-by-step explanation:
k
A biologist estimates that 40% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the probability that fewer than 124 deer have this tick?
Answer:
0.703
Step-by-step explanation:
By inspection this is a binomial probability distribution problem.
We are given;
Probability that the deer in a region carries a certain type of tick; p = 40% = 0.4
Sample size; n = 300
Now we want to find the probability that fewer than 124 deer have this tick.
Thus is at P(x ≤ 124)
Formula for binomial distribution problem is;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
But now in this question,
P(x ≤ 124) = P(0) + P(1) + P(2) +.... P(124)
Getting all the Probabilities from P(0) to P(124) is too long we will make use of an online binomial probability distribution calculator with the result attached as an image.
In the calculator we input n = 300; p = 0.4; and P(X ≤ x)
We have a value of 0.703
Kenny and Roger are having a debate figure out how to solve 5÷2/3. Can you says, All you have to do to solve is turned into a multiplication statement: 5×2/3 equals 10 over three, or 3 1/3". Roger says, "The answer is 7 1/2 because the equation should be 5×3/2.
Answer:
the correct answer is 10 over three or 3 1/3
Step-by-step explanation:
U just multiply 5 by 2/3 and u get 3 1/3 :)
Answer gets the crown
What does an algorithm have to do with processing?
Algorithms are a series of steps
Algorithms have nothing to do with processing
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from output to input.
Angle measures and segment lengths. Algebra Find the value of each variable.
Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:
[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]
[tex] x = \frac{1}{2}(240 - 120) [/tex]
[tex] x = \frac{1}{2}(120) [/tex]
x = 60°
Find the value of x
x = 10.4 (1dp)
Step-by-step explanation:
Using Pythagoras' theorem, a^2 = b^2 + c^2 where a is the hypotinues; b and c is the two sides
a^2 = b^2 + c^2
12^2 = 6^2 + x^2
144 = 36 + x^2
x^2 = 144 - 36
x^2 = 108
x = _/108
x = 10.4 (1dp)
Which probability model would you use to describe the number of damaged printers in a random sample of 4 printers taken from a shipment of 28 printers that contains 3 damaged printers?A) HypergeometricB) BinomialC) UniformD) Poisson
Answer:
The answer is "Option A".
Step-by-step explanation:
The probability function is
[tex]\to P(X) = K_{{C}_{k}} \times \frac{N-K_{{C}_{n-k}}}{N_{C}_{n}}[/tex]
The population size (N)= 28
The number of success in population(K) = 3
The number of draws (n)= 4
a dragon can fly 80 miles in 2 hours. an alien can fly 58 miles in 4 hours.
how far can a dragon fly in 11 hour. and how far can the alien fly in 1 hour.
Answer:
an alien can fly 14.5 miles in 1 hour and a dragon can fly 440 miles in 11 hours
Step-by-step explanation:
A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Which equation best represents the amount spent, y, on x hours of music. *
13 points
Captionless Image
y = 0.5x
y = 0.5x + 100
y = 25x + 100
y = 100x + 25
Answer:
Its c i did it for quizzez and also because the graph goes up 25 every hour
Step-by-step explanation:
The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A DJ charges a setup fee plus an hourly fee to provide music for a dance party.
We know that the amount per hour is generally one-fourth of the number of setup feet. Let 'x' be the number of hours and 'y' be the total amount. Then the equation is given as,
y = 25x + 100
The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
5+ x2 – 7х
What is the answer?
Answer:
[tex]-5x+5[/tex]
Step-by-step explanation:
[tex]5+2x-7x[/tex]
Combine like terms:
[tex]2x-7x+5\\[/tex]
which is
[tex]-5x+5[/tex]
Hope this helps :D
My Answers:
I think the equation you typed may have some typo error but:
If the problem is 5+2x-7x, then the answers would be:Factor the expression= 5(1-x)Simplify the expression= 5-5xBut if the expression you want to ask is 5+x⋅2-7x, the answer is:Simplify the expression= 5-5xHope this helps and if you could mark me as brainliest. Thanks!
I need help on my math.
5.
4. 3(4x - 5) < 8x + 3
Answer:
12x -15 < 8x + 3
+15 +15
12x < 8x + 18
-8 -8
4x < 18
x < 4.5
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
Answer: Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
The options are:
a. Very likely; recurring debt is less than what is allowed.
b. Somewhat likely; recurring debt is equal to what is allowed.
c. Not likely; recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
Annual salary = $37,580
Car loan payment annually = $265 × 12 = $3180
Annual student loan= $120 × 12 = $1440
Annual loan payment will be:
= $3180 + $1440
= $4620
Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.
Answer:
c. Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
got it right
16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth
Answer:
21
Step-by-step explanation:
I believe this because when you add it all together you get 20.77
Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.
A. None of these
B.AAS
C.ASA
D.SAS
Answer:
The correct answer is B. AAS
Step-by-step explanation:
I took the test
hope this helps :)
SAS postulate is used to conclude that ∆ABD ≈ ∆CBD. Option D is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
In the given triangle there are ACD, DB is the perpendicular bisector.
We need to prove ∆ABD ≈ ∆CBD.
In ∆ABD and ∆CBD
AB is congruent to BC by given diagram.
∠ABD ≅ ∠CBD both are 90 degrees.
BD ≅ BD both having common side.
∆ABD ≈ ∆CBD.
By SAS postulate.
Hence, the SAS postulate is used to conclude that ∆ABD ≈ ∆CBD.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
How much interest will $2,000 earn at an annual rate of 8% in one year if the interest is compound every half a year?
Answer:
the yearly interest would be 160.00
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
You have 2 Fractions with denominators 4 and 5. What number should you use as the least common denominator if you want to add the
Answer:
20 (this is the lowest common denominator)
45/43 as a percentage rounded to the nearest tenth?
Answer:
104.65116279%
Step-by-step explanation:
Answer:
104.7 % to the nearest tenth.
Step-by-step explanation:
Multiply the fraction by 100:
= (45*100)/43
= 104.651.