Answer:
26880 ways
Step-by-step explanation:
Given
[tex]Crust = 4[/tex]
[tex]Toppings = 10[/tex]
[tex]Cheese = 8[/tex]
Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in [tex]^4C_1[/tex] ways
For the toppings:
3 can be selected from 10 in [tex]^{10}C_3[/tex] ways
For the cheeses:
3 can be selected from 8 in [tex]^{8}C_3[/tex] ways
Total number of selection is:
[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]
Apply combination formula:
[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]
[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]
[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]
[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]
[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]
[tex]Total = 4 * 120* 56[/tex]
[tex]Total = 26880[/tex]
Hence, there are 26880 ways
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
a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are
of different suits. Find the probability of your winning?
b) A coin is tossed 5 times. What is the probability that the first toss is a head
or exactly 2 out of the five tosses are heads?
c) In a shuffled 52-card deck, what is the probability that neither the top nor
the bottom card is a heart?
d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You
reach in and grab 15 marbles. What is the probability that they are all the
same colour?
Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10
Kayla consumed 1800 calories on Monday. She consumed 500 more calories on Tuesday than she did on Monday. On Wednesday, she consumed 100 calories less than she had on Tuesday. Find the rate of change in calorie intake from Monday to Wednesday.
Answer: +200 calories/day
Step-by-step explanation:
Answer: 200 calories/per day
Step-by-step explanation:
One Solution, Infinite Solutions, No Solution are the three options for both graphs
Answer:
The first one is infinite and the second one is one solution
Im timed make it quick
A biology student wanted to determine if using fertilizer would promote plant growth. One hundred plants were randomly assigned to one of two groups: one that used the fertilizer, and one that did not use a fertilizer.
Which of the following is a benefit of having replication in the experiment?
A Having a large number of plants receiving the treatments will allow for a good comparison of the differences in plant growth between the two groups.
B Having a large number of plants receiving the treatments will not allow for a good
comparison of the differences in plant growth between the two groups.
C Replication is not needed in this experiment. One plant receiving each type of treatment is enough to determine if the difference in plant growth is due to the fertilizer.
D Repeating the experiment will allow the student to compare the differences between the plants that received the fertilizer the first time and the plants that received the fertilizer the second time.
Answer:
It's A
Yeah Boy edge 2020
Step-by-step explanation:
Which of the following is the correct inequality? b + 3 < 12"
Answer: x
+
3
=
17
x
3
=
2
3
x
+
3
=
24
Step-by-step explanation:
Look at the following expression. Which operation should be done first?
23 – 5 × 4 + 32 (a small 2 next to the 3)
1.) 5 × 4
2.) 32 (small 2)
3.) 4 + 3
4.) 23 – 5
Answer
2.
Step-by-step explanation:
How many people will 1 cup of rice serve?
Answer:
4
Step-by-step explanation:
Answer:
it will serve 3 people!
Step-by-step explanation:
divide 6 by 2!
hope this helped!
for brainliest!
I have 3 green cubes, 4 red cubes, 2 black cubes, and 6 yellow cubes. What is the probability that I will randomly choose a black cube, put it back then randomly choose a yellow cube
Answer:
4/75 or 0.05333
Step-by-step explanation:
3+4+2+6=15 elements
2/15= probability to choose a black
6/15 = probability to choose a yellow cube
Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333
what is 3/5 divide 1/3
Answer:
1 4/5
Step-by-step explanation:
Write the point-slope form of the equation of the line through the given point with the given
slope.
through: (4.-3), slope = -2
Answer:
y+3 = -2(x-4)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y- -3 = -2 (x-4)
y+3 = -2(x-4)
Maria wants to add to her CD collection. If a CD costs $12, which expression shows the cost of d CDs? A. 12 - d B. 12 ÷ d C. 12 + d D. 12 × d
Step-by-step explanation:
Cost of CDs
= Number of CDs * Cost of one CD
= d * $12
= $12d. (D)
The answer is using multiplication as we have a unit rate and we wish to find the total.
Answer:
D. 12*d, or 12d
what is the answer to 2(1-x)=11
Answer:
-9/2 in exact form but -4.5 in decimal form
Answer:
x=-4.5
Step-by-step explanation:
distribute
2(1-x) = 11
2-2x=11
combine like-terms
-2x = 9
isolate x and divide out the negative
-2x/-2 = 9/-2
x = -4.5
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.
Answer:
(1) The required ratio of spirit to varnish is 1:3.
(2) You need 80 ml of mineral spirit.
(3) The ratio of tapestries' heights to width is 3:2.
Step-by-step explanation:
(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.
So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]
[tex]=\frac{1}{3}[/tex]
Thus, The required ratio of spirit to varnish is 1:3.
(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.
Let [tex]x[/tex] be the quantity of total solution.
Then, [tex]240:x=3:4[/tex].
⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]
⇒[tex]3x=240*4[/tex]
⇒[tex]x=\frac{240*4}{3}[/tex]
⇒[tex]x=320[/tex]
That is, total solution is 320 ml.
Now, Spirit = Total solution - Varnish
⇒Spirit = 320ml-240ml
⇒Spirit = 80ml
Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.
(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.
Then, dimensions are 15m long and 10m wide.
Now, Height : Width = 15:10
⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]
⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]
Hence, the ratio of tapestries' heights to width is 3:2.
Which is the product of 11/12 and 4
Answer:
3.66666666667
Step-by-step explanatio
Do Now
A company has 3 locations with 70,010 employees altogether. The
first location has 34,857 employees. The second location has 17,595
employees. How many employees work in the third location?
Model
Answer:
17, 558 employees
Step-by-step explanation:
Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?
Let the number of employees in the third location be x
70,010 + 17, 595 + x = 70,010
x = 70, 010 - 52452
x = 17, 558( Answer)
17, 558 employees work in the third location
Rebecca and John worked a total of 25 hours last week. If Rebecca worked R hours and John worked 5 hours less than Rebecca, which of the following equations represents the situation?
Answer:
25=r+5
he worked 20
Step-by-step explanation:
A grey umbrella costs $8 plus $0.72 in taxes. A yellow
umbrella costs 3 times as much as the grey umbrella. How
much does the yellow umbrella cost, in total?
Select the expression that represents the problem above,
Answer:
$26.16
Step-by-step explanation:
Since it says "A grey umbrella costs $8 plus $0.72 in taxes"that means a grey umbrella costs $8.72.So you have to do $8.72 * 3 which equals,$26.16
hope this helped!
Question 6 (1 point) Express the complex number in trigonometric form. Question 6 options: 7(sin 60° + i cos 60°) 7(cos 60° + i sin 60°) 7(cos 30° + i sin 30°) 7(cos 60° + sin 60°)
7. At an online retailer, the price of the camera is discounted 15% to $212.50. What was the
price of the camera before the discount?
Answer:
$250
Step-by-step explanation:
discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85
set up equation and solve
.85x=212.50
x=250
Show how to to find the product 0.19 times 10 to the power of 3
Answer:
190
Step-by-step explanation:
10x10x10=1000
then multiply 1000 by 0.19
190
Can someone answer these 2 questions for me?
Write the equation of a line that has a slope that is greater than 1 but
less than 2
Answer:
y=3/2x
Step-by-step explanation:
Just find a fraction that is greater than one, but less than two and plug it in right next to x. I chose 3/2, but you can choose anything else if you like.
The equation of a line that has a slope that is greater than 1
but less than 2 in slope-intercept form is y = (3/2)x + b.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.∴
Given a line has a slope of greater than 1 and less than two,
∴ We can take any value from 1.01 to 1.99, for our convenience let us take 1.5which is 3/2.
So, the equation of the line will be y = (3/2)x + b.
learn more about lines here :
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Select the correct answer from each drop-down menu.
The sides of ABC are 30 units, 40 units, and 60 units long. The corresponding sides of AXYZ are r times as long
as the sides of AABC.
2. If the area of AABC is n square units, the
The expression that gives the perimeter of AXYZ is
area of AXYZ is
square units.
Answer:
Area of ΔXYZ = n(r * r) square units
Step-by-step explanation:
Sides of ΔABC are 30 units, 40 units and 60 units.
Corresponding sides of another triangle XYZ are r times as long as the sides of ΔABC.
Therefore, sides of ΔXYZ will be, 30r units, 40r units and 60r units.
Perimeter of the triangle XYZ = 30r + 40r + 60r
= 130r units
If the area of ΔABC = n square units
Then the ratio of the area of ΔXYZ and ΔABC = (Ratio of the sides of ΔXYZ and ΔABC)²
[tex]\frac{\text{Area of triangle XYZ}}{\text{Area of triangle ABC}}=(\frac{\text{Side length of XYZ}}{\text{Side length of triangle ABC}})^2[/tex]
[tex]\frac{\text{Area of triangle XYZ}}{n}=(r)^2[/tex]
Area of ΔXYZ = nr² ≈ n(r * r)
Therefore, Option (3) will be the answer.
The expression that gives the perimeter of ΔXYZ is: 130r
The area of ΔXYZ = nr²
Similar FiguresIf A and B, with sides a and b respectively, are similar figures, therefore: area of A/area of B = a²/b².
Thus;
Given that the sides of ΔABC, which are 30, 40 and 60, are r times the corresponding sides of ΔXYZ, the sides of XYZ would be:
30r, 40r, 60r.
Perimeter of ΔXYZ = 30r + 40r + 60r = 130r
Given that the area of ΔABC is n units², therefore:
(area of ΔABC)/(area of ΔXYZ) = (side of ΔABC)²/(side of ΔXYZ)²
Substitute(n)/(area of ΔXYZ) = (30)²/(30r)²
n/area of ΔXYZ = 1/r²
Cross multiplynr² = area of ΔXYZ
area of ΔXYZ = nr²
Therefore, the expression that gives the perimeter of ΔXYZ is: 130r
The area of ΔXYZ = nr²
Learn more about area of similar figures on:
https://brainly.com/question/26145340
Determine if the ordered pairs represent a function.
•Yes
•No
{(1,3), (4, 12), (5, 15), (6, 18)}
Thirteen more than three times a number is 25.
Answer:
x = 4
Step-by-step explanation:
Equation: 3x + 13 = 25
Step 1: Subtract 13 from both sides.
3x + 13 = 25
- 13 - 13
3x = 12
Step 2: Divide both sides by 3.
3x = 12
3 = 3
x = 4
Please answer ASAP. Find x
I think its B. if im wrong, am soo sorry
Answer:
x = 13
Step-by-step explanation:
<CBE = 180 - x
<BEC = x
<BCE = 180 - 90 - 64 = 26
180 - 3x + x + 26 = 180
206 - 2x = 180
2x = 26
x = 13
The price of a telephone is 200$ in shop A and 240$ in shop B. If you get 15% discount
shop B, where would you buy the telephone (both shops are next to each other
Answer: Shop A
15% of 240 is 36 and 240-36 is 204 so shop B is more expensive.
The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The price of a telephone is $200 in shop A and $240 in shop B. If you get a 15% discount shop B.
The price of the telephone after the discount at shop B will be given as,
⇒ (1 - 0.15) x $240
⇒ 0.85 x $240
⇒ $204
The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.
More about the percentage link is given below.
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A garden table and a bench cost 821 combined.The garden table costs 79 less than the bench. What is the cost of the bench?
Mr. Cohen used 25 kilograms of fertilizer on his lawn. The fertilizer contained 4 kilograms of nitrogen. What percent of the nitrogen was in the fertilizer that Mr. Cohen used?
Answer:
The answer to this question is the percentage of the nitrogen is 17%