Answer: 70
======================================================
Explanation:
Consider we have four slots A, B, C, D.
We have 8 choices for slot A, 7 for B, 6 for C, and 5 for D.
We count down because each time we can't reuse whatever topping was picked earlier.
Multiplying out those values gives: 8*7*6*5 = 1680
There are 1680 permutations. This would be the answer if order mattered, but it doesn't matter.
Since order doesn't matter, we have to divide by 4! = 4*3*2*1 = 24. This is the number of ways to arrange any group of 4 items.
We get 1680/24 = 70 as the final answer
--------------------
Another way to get the answer is to apply the nCr combination formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
with n = 8 and r = 4.
Another alternative is to use Pascal's Triangle. You would look in the row that starts with 1,8,... and count out 5 slots (because r starts at r = 0) to arrive at 70.
Can someone please help!!!!
Answer:
2/5
Step-by-step explanation:
since the denominators are the same, the question is basically -4+6, which is 2. But remember to include the denominator
A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume
that the masses of the liquid and the cup are independent.
Here are summary statistics for the masses of the liquid and the cups:
Mean
Standard deviation
Liquid
HL
250 g
D = 20 g
Cup
HC = 150g
a = 10g
Let T = the total mass of a randomly selected cup filled with liquid from this machine.
Find the mean of T.
HT =
grams
Stuck? Watch a video or use a hint.
Report a problem
Answer:400
Step-by-step explanation:
The mean of T is the expected weight of a selected cup filled with liquid
The mean of T is 400
The data on the table is given as:
Mean Standard Deviation
Liquid 250g 20g
Cup 150g 10g
Represent Liquid with L, and cup with C
To calculate the mean of T, we make use of the following formula for expected value
E(L + C)
Since L and C are independent random variables, then
[tex]E(L + C) = E(L) + E(C)[/tex]
Where E(L) and E(C) are the mean values of liquids and cups.
The equation becomes
[tex]E(L + C) = 250g + 150g[/tex]
[tex]E(L + C) = 400g[/tex]
Hence, the mean of T is 400
Read more about mean at:
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what's the perimeter of a triangle with sides 2 inches, 3 inches, and 4 inches in length?
Answer:
maybe 9
Step-by-step explanation:
Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38
What is the Factor: 24x - 60
The American Association of Individual Investors (AAII) polls it subscribers on a weekly basis to determine the number who are bullish, bearish, or neutral on the short term prospects for the stock market. Their findings for the week ending March 2, 2014, are as follows: Bullish 409 Neutral 299 Bearish 291 Develop a point estimate of the following population parameters. The proportion of all AAII subscribers who are bullish on the stock market.
Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094
Step-by-step explanation:
Given the data in the question;
The total number of American Association of Individual Investors in stock market are;
409 + 299 + 291 = 999
The proportion of all AAII subscribers who are bullish on the stock market will be:
Market = 409 / 999
= 0.4094
Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094
4. Solve -5x2 + 3x = 11
Quadratic
Answer:
X=7
Step-by-step explanation:
-5×2+3x=11
(-5×2)+3x=11
-10+3x=11
3x=11+10
3x=21
x=21÷3
x=7
Solve for the roots in simplest form using the quadratic formula:
4x^2 -28x= -53
Answer:
x = (28 +- root -64) / (8)
Step-by-step explanation:
4x^2 -28x= -53 = 0
x = [-(-28)+- root (-28)^2 - 4 * 4 * 53] / 2 *4
x = (28 +- root 784 - 848) / (8)
x = (28 +- root -64) / (8)
the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian
Answer:
[tex]Probability =0.1744[/tex]
Step-by-step explanation:
Given
Total
[tex]American = 11[/tex]
[tex]Canadian = 18[/tex]
Selection
[tex]American = 0[/tex]
[tex]Canadian = 4[/tex]
Required
Determine the probability of selecting a 4 committee member that are Canadian.
First, we calculate total possible selection.
[tex]Total = American + Canadian[/tex]
[tex]Total = 11 + 18[/tex]
[tex]Total = 27[/tex]
Number of ways to select 4 from 27 is:
[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]
[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]
[tex]^{27}C_4 = \frac{421200}{24}[/tex]
[tex]^{27}C_4 = 17550[/tex]
Next, we calculate ways of selecting 4 Canadians from 18 is:
[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]
[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]
[tex]^{18}C_4 = \frac{73440}{24}[/tex]
[tex]^{18}C_4 = 3060[/tex]
The required probability is:
[tex]Probability =\frac{3060}{17550}[/tex]
[tex]Probability =0.1744[/tex]
A pastry chef can decorate 1 cake in 7 minutes. How many cakes can he
decorate in 56 minutes?
A. 392 cakes
B. 8 cakes
C. 9 cakes
D. 63 cakes
Pls help! This is due in 5 minutes!
Answer:
The Base is 150 and the Exponent is 4
07:56
O sol 100%
1. Find the measures of the following to the nearest tenth of a degree
a HT
b.LT
2. What is the area of the given triangle?
om
Dom
8
17. find each
15
sin=
3. If X and Y are complementary angles,
cosX
17 , and
of the following:
a. tan X =
b. sin YE
CcOS Y =
d. tsn Y
E
<
Answer:
Toilet rolls come in packs of 4 and 9.
The 4-pack is priced at £2.04.
The 9-pack is priced at £4.68.
By calculating the price per roll, determine which pack is better value. Show your working.
Pls help me I’ll brainlest
Answer: Did, Are Changed , Did not change
Step-by-step explanation:
Find the slope of the line.
3,2 6,3
Doug drew two identical triangles. He wants to prove the converse of the Pythagorean Theorem by using both triangles. The first triangle has side lengths of 12 cm, 16 cm, and 20 cm, such that 122 + 162 = 202. Using the converse of the Pythagorean Theorem, enter the length of the side opposite the 90° angle of the second triangle.______cm
Answer:
Answer is explained in the explanation section
Step-by-step explanation:
Solution:
Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.
Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]
Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]
First of all let's check the first triangle is right triangle or not.
a = 12
b= 16
c= 20
So,
[tex]a^{2} + b^{2} = c^{2}[/tex].
144 + 256 = 400
400 = 400
Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle
hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.
Now, we have find out the side opposite to the 90 degrees angle, which is c.
we also know that, right triangles sides follow the pattern of 3x,4x and 5x
Since, c is the longest side.
Hence, c= 5x
select the correct answer
Answer:
A
Step-by-step explanation:
If g is equal to 8, then we can rewrite the fraction as 8/2+3. We can simplify this to 8/5. That means A is correct.
Guys help me please I need the solution. Find x and y
PLEASE HELP. I don't understand! I will give brainliest!
Below is a graph that contains the lines for all the above equations. Find the line that represents each equation, based on the ordered pairs, and write the equation next to each letter for the line that it represents.
What is the equation for A, B, and E?
Answer:
A is Y equally X
B is X equally 2
E is Y equally -5
Given the relative frequency table below, which of the following is the corresponding cumulative relative frequency table?
Value
Relative Frequency
3
0.04
4
0.4
5
0.12
6
0.24
7
0.2
The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.
What is the relative frequency of the data?The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.
From the given data,
Relative frequency = given frequency / total frequency
Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1
Value Relative frequency Cumulative frequency
3 0.04/1 = 0.04 0.04
4 0.4/1 = 0.4 0.04 + 0.4 = 0.44
5 0.12 0.44 + 0.12 = 0.56
6 0.24 0.56 + 0.24 = 0.80
7 0.2 0.80 + 0.2 = 1
Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.
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Help me please will mark you brainiest if its correct
Answer:
60 more cubes are needed
7% of what length is 200 feet
Answer:
Roughly 2857.14
Step-by-step explanation:
Answer:
2857.14285714 feet.
Step-by-step explanation:
If we put your question into an equation, we get:
7/100 * n = 200
We multiply both sides by 100 to get rid of the fraction, and get:
7n = 20000
Then, to find n, we divide both sides by 7.
Therefore,
n = 2857.14285714.
Multiply The polynomials. (3x^2+4x+4)(2x-4)
Answer:
6x^3 - 4x^2 - 8x - 16
Step-by-step explanation:
6x^3 + 8x^2 + 8x - 12x^2 - 16x - 16
combine
6x^3 - 4x^2 - 8x - 16
PLEASE HELP PLEASE I REALLY NEED HELP JUST SAY LIKE ABC OR D AND PLEASE DO THE CORRECT ANSWER
Answer:
c
Step-by-step explanation:
can someone please help me.
Answer:
Step-by-step explanation:
1. isosceles
2. right scalene
3. obtuse scalene
4. equilateral
5. right isosceles
6. acute scalene
7. equilateral
8. isosceles
What is 1/4 times 24.80
Answer:
6.2 is the answer you are looking for
Pete is Designing a company logo by dividing a circle into five equal pie shaped sections as shown in the diagram above . how many degrees are in angle a
Help please I’m begging you
Answer:
subtract to eliminate y
Answer:
B
Step-by-step explanation:
add to eliminate y
Need help ASAP... 10 points!!
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
help don't answer if you don't know
Answer:
not 100% confident but I think this is at least close
Step-by-step explanation:
solve for one variable
1. x-5y=2
x=2+5y
plug this in to another equations and simplify
2. (2+5y)-y=16
2+4y=16
4y=14
y=3.5
this can be plugged in to all other equations to find x
1. x-5(3.5)=2
x-17.5=2
x=19.5
2. x-(3.5)=16
x=19.5
3. 2x-(3.5)=5
2x=8.5
x=4.25
4. x-3(3.5)=4
x-10.5=4
x=14.5
Evaluate the expression: −(8 − 12) + 60 + (−4)2
Answer:
Step-by-step explanation:
here you go mate
step 1
−(8 − 12) + 60 + (-4)2 Equation/Question
step 2
−(8 − 12) + 60 + (-4)2 simplify
-(-4)+60+(-4)(2)
4+60+(-4)(2)
64+(-8)
answer
56
The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.
What is the arithmetic operator?Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.
Addition = addition of two or more numbers or variable
For example =3 + 4
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example =8 - 9
Division = divide any two numbers or variable called division.
For example 7/3
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 4.
Given,
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".
To learn more about the arithmetic operators,
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