In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.
[tex]nCr = \frac{n!}{(n - r)!r!} \\ [/tex]
Plugging in our values,
[tex]8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ [/tex]
That means 3 desserts from a tray of 8 desserts 56 times.
What's the translation notation from JKL to J'K'L?
Answer:
1 up 2 right or y+1 and x+2
Step-by-step explanation:
Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]
The population of the world in 1987 was 5 billion and the growth rate was estimated at3 percent per year.the population size (in billions) can be modeled by the formula A = 5(1.03)t where t is the number of years after 1987. Find the projected world population in 1995 . Give your answer in terms of billions of people.
Answer:
6.3 billion people
Step-by-step explanation:
[tex]A=5(1.03)^t[/tex]
The "base year" is 1987 when there were 5 billion people. That year corresponds to t = 0 (t measures years after 1987)
That makes 1995 = 1995 - 1987 = 8, so t = 8.
Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
9 weeks 2 days = ?
days?
Answer:
9weeks 2days = (9 × 7) + 2 = 63 +2=65 days
Step-by-step explanation:
Answer:
65 days
Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days
Solve for x. Show your work.
Why are both of the answers to the last question correct?
the answer is : An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
(05.02)Find the measure of angle x in the figure below:
O 60° O 50° O 110° O 70°
What is the volume of this triangular pyramid?
5 yd
3 yd
3 yd
Answer:
45
Step-by-step explanation:
volume=length x width x height
5x3x3=45
Help me quickkkkkkk!!!!!!!!
Answer:
a) G
b) C
Step-by-step explanation:
Nikki had swim practice 4 days this
week. She swam 425 yards Monday and
450 yards Tuesday. She swam 100 less
yards Wednesday than she did Tuesday.
If Nikki swam 1,600 yards in all, how
many yards did she swim on Thursday?
Nikki swam 375 yards on Thursday.
what is addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
Given
Nikki swam 375 yards on Thursday.
425+450+350= 1,225
1,600- 1,225= 375
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The question is in the photo, that answer is not correct. At least I do not know if it is.
Answer:
Step-by-step explanation:
To get the solution lying in the shaded region,
Justify the equation with the given options,
Option (1)
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
For (1, 1),
[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]
[tex]\frac{1+4}{16}\leq 1[/tex]
[tex]\frac{5}{16}\leq 1[/tex]
True.
Therefore, point (1, 1) justifies the equation.
Option (2)
For (4, 1),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]1+\frac{1}{4}\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (4, 1) doesn't justify the equation.
Option (3)
For (-1, 2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+1\leq 1[/tex]
[tex]1\frac{1}{16}\leq 1[/tex]
False.
Therefore, point (-1, 2) doesn't justify the equation.
Option (4)
For (2, -2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{4}+1\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (2, -2) doesn't justify the equation.
Option (1) will be the answer.
1) Mike can run a miles in 12 minutes he starts his run at 11:30am and run 4miles what time dose mike finish his run
Help fast
Answer:
12:18
Step-by-step explanation:
12*4 = 48 minutes
Answer:
Mike stops running at 12:18 PM
Step-by-step explanation:
We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.
Can someone tell me the answer
Answer:
-3
Step-by-step explanation:
(-6)/(+2)
-6/+2
-3
Answer:
C. -3
Step-by-step explanation:
If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.
ASAP PLS HELP!!! Find the value of x
A)127
B)147
C)53
D)None of these answer
E)37
Answer:
should be C
Step-by-step explanation:
They are congruent
In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
Write a equation that will represent the information.
Answer:
consider r to be x. and t to be y
[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]
Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.
Answer:
a. reflection across one of the lines of symmetry of the figure.
Step-by-step explanation:
Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees
Answer:
A is correct
Step-by-step explanation:
17*180=3060
3060/4= 765
765-360=405-360=45
How many arc degrees are in the minor arc?
- 32.5 degrees
- 65 degrees
- 115 degrees
- not here
Answer:
115°
Step-by-step explanation:
x =180-65=115°
------
Which number is an integer?
Answer:
0
Step-by-step explanation:
0 is an integer.
plz mark as brainliest
Find the measure of angle x
Answer:
Angle x would be equal to the sum of its two opposite angle
x= 47 + 110
x= 157°
Given that A, O & B lie on a straight line segment, evaluate
x
.
Answer:
Step-by-step explanation:
It is the same way:
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
please mark me as brainliest
A biased 4-sided dice is rolled. possible scores are 1,2,3 or 4. The probability of rolling a 1,3 or 4 is shown below. what is the probability of rolling a 2?
Answer:
0.2
Step-by-step explanation:
A probability is always out of 100% (which also means out of 1)
So the probability that the dice rolls a 1 is 0.15/1, the probability it rolls a 3 is 0.3/1 and the probability it rolls a 4 is 0.35/1. The probability it rolls a 2 is x/1 where x is what we're looking for. If you add all the probabilities up you should have 1 in total. So 0.15 + x + 0.3 + 0.35 = 1
So to find the missing one you need to subtract all the probabilities you know from 1:
1 - 0.15 - 0.3 - 0.35 = 0.2
The probability of the die rolling 2 is 0.2
What is probability?Probability is a measure of the likelihood of an event occurring. The probability of all the events in a sample space adds up to 1.
Given here the probabilities are 0.15,0.3, 0.35
since the probabilities, all add upto 1
therefore P(2) = 1-(0.15+0.3+0.35)
= 0.2
Hence the probability that the die will roll 2 is 0.2
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Figure A maps to figure B with a scale factor of 0.25
Answer:
x would be 6
Step-by-step explanation:
This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.
Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:
x * 0.25 = 1.5
x * 0.25 (4) = 1.5 (4)
x * 1 =6
x = 6
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
Can anyone please help me
Answer:
-5
-8
49
Step-by-step explanation:
if a circle has a enter of (-5,-8) the first part looks like
(x+5)²+(y+8)²
to find the radius just plug in x=2 and y= -8
(2+5)²+(-8+8)²
7²+0=49
Pleaseeeeeeeeee helppppp
Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.
please i need help fast with explantion
9514 1404 393
Answer:
60°
Step-by-step explanation:
You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.
x° = 60°
_____
In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:
Cos = Adjacent/Hypotenuse
cos(x°) = 16/32 = 1/2
x° = arccos(1/2)
x° = 60°