Answer:
b
Step-by-step explanation:
There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
How many ways can 1 woman and 1 man be chosen to take coats as
people enter?
Answer: 20 ways
Step-by-step explanation:
Given: There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
i.e. Number of women = 5
Number of men = 4
According to the fundamental counting principle , we have
(Number of women ) x (Number of men)
= 5 x 4
= 20
Hence, 1 woman and 1 man can be chosen in 20 ways to take coats.
Please help me thank you.
Answer:
Option 2: 5.34 is the correct answer.
Step-by-step explanation:
As it can be seen that the given triangle is a right-angled triangle.
Here
Base = 12
Perpendicular = x
θ = 24°
We can use trigonometric ratios to find the value of x. We have to choose a trigonometric ratio which involves base and perpendicular as we only know these two and the angle in the triangle
So,
[tex]tan 24 = \frac{perpendicular}{base}\\0.4452 = \frac{x}{12}\\x = 0.4452*12\\x = 5.3424[/tex]
Rounding off to nearest hundredth
x = 5.34
Hence,
Option 2: 5.34 is the correct answer.
A shop sells 20 different flavors of ice cream, in how many ways can a customer choose4 ice cream cones (one dip of ice cream per cone, please) if they:_________(a) are all of different flavors.(b) are not necessarily of different flavors.(c) contain only 2 or 3 flavors.(d) contain 3 different flavors.
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.
Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)
Answer:
(g ￮ f)(-2) = 32
Step-by-step explanation:
Given
[tex]f(x)=5x+4[/tex]
[tex]g\left(x\right)=x^2-4[/tex]
We have to evaluate (g ￮ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).
Finding f(-2)
[tex]f(x)=5x+4[/tex]
[tex]f(-2) = 5(-2)+4[/tex]
[tex]= -10 + 4[/tex]
[tex]= -6[/tex]
Then
[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]
[tex]=36-4[/tex]
[tex]= 32[/tex]
Therefore,
(g ￮ f)(-2) = 32
Darnell is counting the number of vehicles that pass through an intersection per hour. Based on his count, he writes a function that approximates his data. What number set serves as the domain of Darnell's function?
Answer:
all whole numbers greater than or equal to 0
Step-by-step explanation:
What is standard form for this equation?
Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?
You are given the following information about y and x. Y X Dependent Independent Variable Variable 5 15 7 12 9 10 11 7The least Squares of b1 equals?a) -0.7647b) -0.13c) 21.4d) 16.412The least squares estimate of bO equals?a) -7.647b) -1.3c) 21.4d) 16.41176The sample correlation coefficient equals:__________a) -86.667 b) -0.99705c) 0.9941d) 0.99705The coefficient of determination equals:__________a) -0.99705b) -0.9941c) 0.9941d) 0.99705
Factorise fully 2x+8
Answer:
2(x+4)
Step-by-step explanation:
To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.
Answer: 2(x + 4)
Explanation: If you're asked to factor a polynomial,
the first thing you want to look for is the greatest common factor
for the terms that are involved.
The greatest common factor of 2x and 8 is 2.
So a 2 can factor out.
Inside the parenthses, we have each term divided by
the 2 that factored out of the polynomial.
So we have 2(x + 4).
What is 25% of 80 what is the answer fo this question
25% of 80 is 20
I hope this helps!!!
Answer:
25% of 80 is 20
Step-by-step explanation:
solve for 4x-3=-89 please!!
Answer:
Your answer is: x = -43/2
Move all terms that don't contain x to the right side and solve.
Step-by-step explanation:
Hope this helped : )
PLEASE HELP I'VE WAISTED ABOUT 30 POINTS ON THIS AND ITS ALMOST LATE
Gavin is correct.
Because, Blaise did mistake in the 2nd step and after that all the steps became incorrect.
Blaise did 7x - 16x + 2
While it should be 7x - 16x - 2
Who ever does this gets brainliest
What type of processing is being defined: "If something is true, do something else."
Comparing
If/Then
Finding A Match
Counting
The diameter of Saturn at its equator is about 120,540,000 meters. What is 120,540,000 written in word form?
Answer:
Step-by-step explanation:
Onehundred twenty-million-fivehundred forty thousand
Use the diagram to solve. What is 135% of 280?
Percent
Total
100%
5%
5%
5%
5%
5%
5%
5%
135%
315
378
525
560
Answer:
b
Step-by-step explanation:
hope it helps :D
Who watches nfl and what yo fav team?
Answer:
patriots and cowboys!
Step-by-step explanation:
Answer:
Patriots and Cardinals
Step-by-step explanation:
PLS ANSWER FAST ITS DUE IN 10 mins DO NOT ANSWER IF YOUR NOT SURE ALSO I WILL MARK BRAINLIEST
Answer: The answer is
-1/3 > -0.5
Step-by-step explanation:
1/3 written as a decimal is -0.333333, which is more than -0.5, Hope this works :)
Identify the system of equations that is satisfied by the given ordered pair. (20, −12) or a = 20, b = −12
Answer:
a=20; b=-12
Step-by-step explanation:
if you just say (20,-12) then a can anything it can be 20 or it can be -12 so (a=20; b=-12) is an organized way of keeping it.
Answer:
3a − 2b = 84
3a = 36 − 2b
Help me and also show steps thanks will mark brainliest.
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55.
How much George pay for his computer in total?
Answer:
£530
Step-by-step explanation:
Answer:
£530
I hope this helps!
Help solve this equation
Answer:
x=1
You solve for x by cross multyplying
if 8 identical items together weigh 30 kg, how much does each one weigh?
Answer:
each weighs 3.75 minimum
Answer:
Each item weighs 3.75 kg, or 3 and 3/4 kg.
Step-by-step explanation:
divide the total weight by the total amount of items. 30/8=3.75
hope this helped! :)
y = 12 • 3x for x = –2
Answer:
y=-72
Step-by-step explanation:
3(-2) = -6, y=12 times -6, y= -72
Ratio.. 5 roses in a vase of 12 flowers .. rest daises
Answer:
roses : daises
5 : 7
Step-by-step explanation:
roses=5
daises=12-5=7
therefore ratio
roses : daises
5 : 7
Mr Kumar bought a car for $5,000
During the first year, its value depreciated by 20%. What was the value of the car after one year?
A $1,000
B $4,000
C $4,500
D $6,000
Answer:
b
Step-by-step explanation:
20% of 5000 is 1000 so 5000-1000=4000
Answer:
the answer is A trust me its right
solve: 6m+5=-(1-8m) (please solve!)
Answer:
=3
Step-by-step explanation:
I really hope this helps c:
Answer:
m=3Step-by-step explanation:
[tex]\sf 6m+5=-(1-8m)[/tex]
[tex]\sf 6m+5=-1+8m[/tex]
[tex]\sf 6m+5-5=-1+8m-5[/tex]
[tex]\sf 6m=8m-6[/tex]
[tex]\sf 6m-8m=8m-6-8m[/tex]
[tex]\sf -2m=-6[/tex]
[tex]\sf \frac{-2m}{-2}=\frac{-6}{-2}[/tex]
[tex]\sf m=3[/tex]
Where is the punctuation error in this sentence?
More people came to the meeting1 than had been expected. They were standing2 in the aisles3 in the hall,4 and on the front steps.
Answer:
That is that It is Most not More
Answer:
It is number 3
Step-by-step explanation:
Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°
Answer:
Last option is the correct answer.
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex]
Step-by-step explanation:
Since, 61° + 57° + 61° = 179° < 180°
Therefore,
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex] cannot be the measurements of triangle ABC.
Solve the inequality 3(x+1)<18
Answer:
3(x+1)<18
3x+3<18
3x<15
x<5
Step-by-ste3(x+1)<1p explanation:
the picture is the question
Answer:
3x
Step-by-step explanation:
gradient is slope.
rise/run = 3/1x = 3x