Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
3z - 3
when z = 7
pls respond asap
The prism and pyramid above have the same width, length, and height. The volume of the prism is 36 cm3. What is the volume of the pyramid?
tom scored 23 points in a basketball game. He attempted 15 field goals and 6 free throws. If each successful field goal is 2 points and each successful free throw is 1 point, is it possible he successfully made all 6 of his throws?
Answer:
No
Step-by-step explanation:
The number is odd, so if he makes all 6 the number wouldn't make sense, because for every successful field goal he gets is 2points; so mathematically it wouldn't make sense.
Answer:
I don't know sorry
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease
Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
PLZ HALP!!!!! the length of a rectange is 1 7/9 inches, and its width is 3/4 of its length. find the area of this rectangle.
9514 1404 393
Answer:
2 10/27 square inches
Step-by-step explanation:
The length is 1 7/9 = 16/9 inches. The width is 3/4 of that, so is ...
(3/4)(16/9) = 4/3 inches
The area is the product of length and width, so is ...
A = (16/9 in)(4/3 in) = 64/27 in²
The area of the rectangle is 2 10/27 square inches.
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
Evaluate x divided by y if x = 3 1/2 and y = 3/4
Answer:
4 2/3
Step-by-step explanation:
hope this helps
What interval notation represents the data graphed below?
A. [1, 4]
B. [1, 4)
C. (1, 4)
D. (1, 4]
Hello please help me through 11-13 .
Answer:
Step-by-step explanation:
Points to remember while solving a system of linear equations,
1). If the equations have same slope, solution of the system will have no solution.
2). If both the equations are same, system will have infinitely many solutions.
3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.
Question 11,
ax + 4y = 10 ------ (1)
-9x - 6y = -15
-3x - 2y = -5
-6x - 4y = -10
6x + 4y = 10 -------(2)
For infinitely many solutions,
Coefficients of variables will be same.
a = 6 will be the answer.
Option B is the correct option.
Question 12,
[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)
[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)
Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.
System will have NO SOLUTION.
Question 13,
x + 3y = 6 ------- (1)
6x + 18y = 36
x + 3y = 6 -------- (2)
Both the equations are same.
Therefore, system of the equations will have infinitely many solutions.
2x - 3y = -3 ------(1)
4x + 6y = 18
2x + 3y = 9 -------(2)
Coefficients of the variables are different, therefore, one solution.
3x + 2y = 6 -------(1)
6x - 4y = 24
3x - 2y = 12 -------(2)
One solution.
8x - 10y = 6
4x - 5y = 3 -------(1)
-4x + 5y = 3
4x - 5y = -3 ------(2)
One solution.
4x + 10y = 16
2x + 5y = 8 --------(1)
10x + 25y = 40
2x + 5y = 8 --------(2)
Infinitely many solutions.
EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .
Answer:
#8 ---> 1/4 2/5 1/2 3/5
#9 ---> 6 3/8 6 1/2 6 3/4 6 5/6
#10 ---> 1.75 feet is the longest
the other lengths are 1.58 ft. and 1.67 ft.
Step-by-step explanation:
good luck!
it's easy if you turn them into decimals.
to do that, you just divide the numerator (top number) by the denominator (bottom number).
e.i. 1/4= .25 (25%)
1/2= .5 (50%)
3/5= .6 (60%)
Answer:
8. 1/4, 2/5, 1/2, 3/5
9. 6 3/8, 6 1/2, 6 3/4, 6 5/6
10. the length of the longest bar is 1.75 feet
Step-by-step explanation:
(just convert all the fractions to decimal, it will be easier for you to do!)
8.
3/5 = 0.6
1/4 = 0.25
1/2 = 0.5
2/5 = 0.4
9.
6 3/4 = 6.75
6 1/2 = 6.5
6 5/6 = 6.83
6 3/8 = 6.375
10.
1 7/12 = 1.583
1 2/3 = 1.6 or 1.7
What is the volume of the pyramid?
A 17cm^3, 56cm^3, 84cm^3 or 168cm^3
Answer:
56cm2
Step-by-step explanation:
1÷3×4×6×7
=56cm2
Simplify: 14 + 3k = 6k - 7k
4k = 14
14 = -k
k = 14
4k = -14
help ME PLS
WILL MARK BRAINLIEST
Answer:
62b+27nb-12n-12
Step-by-step explanation:
u gotta combine like terms
Answer:
-0.7 .................
if I was 15 ft tall and I grew 17 yards how much have I grown
Answer:
66 ft or 22 yards
Step-by-step explanation:
1 yard = 3 ft.
Convert 15 ft to yards (multiply by 3) and add 17.
10 is what % of 50?
5 is what % of 50?
1 is what % of 50?
17 is what % of 50?
Answer:
10/50 X 100 = 20%
5/50 X 100 = 10%
1/50 X 100= 2%
17/50 X 100= 34%
Answer:
To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left. To calculate 5 percent of a number, simply divide 10 percent of the number by 2. To find 1% of something (1/100 of something), divide by 100. For 17 is what % of 50 is hard. So maybe this is right? We need to multiply the decimal by the number we are finding the percentage of.
Step-by-step explanation:
10% is what % of 50?
Answer: 5%
5 is what % of 50?
Answer: 10
1 is what % of 50?
Answer: 2
17 is what % of 50?
Answer: 34
Hope this helps!
2 + 6d = _____ d = 8
Answer:
The answer is 50 :)
Step-by-step explanation:
Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.
pls i need help due tonight
Answer:
-3/4
Step-by-step explanation:
-1 1/4 = -5/4
1/2 = 2/4
-5 + 2 = -3
-3/4
Answer: The answer is -3/4
Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.
12x-20=n(3x-5) plzzzz help fast
Answer:
n=4 x=4
Step-by-step explanation:
3-5 = -2
12-20 = -8
find their what they have in common = 4
12·4= 48
3·4= 12
rearrange = 48-20 = n (12-5)
we should end up with 28 = n · 7
now we just need to figure out what ? · 7 = 28 which is 4
n = 4
I'm not sure if I did this correctly but I hope it helps
The table shows the temperature (y) at different altitudes (x), This is a linear relation ship. Use the equation y= -0.004x+69 to determine the temperature at an altitude of 5,000 feet.
Answer:
49
Step-by-step explanation:
i just did it
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?
Answer:
No
Step-by-step explanation:
Given that:
Amount saved = $300
Monthly data cost = $29.95
Number of monthly data that can be done from saving :
= amount saved / monthly data cost
= $300 / $29.95
= 10.016694
Hence, saving can only last for 10 months of data subscription.
Hence it can't last till September 1, if the following year, which is about 12 months
please help
determine all the unknown values of the figure below.
Answer:
F=12.76
S=27.18
X=62 degrees
Step-by-step explanation:
hope this helps
mark brianliest ;)
The population of a community of foxes is observed to fluctuate on a 10-year cycle due to variations in the availability of prey. When population measurements began (t=0, the population was 35 foxes. The growth rate in units of foxes>>year was observed to be P′(t)=5+10sinπt/5
a. What is the population 15 years later? 35 years later?
b. Find the population P(t) at any time t≥0.
Answer:
Population 15 years later P(15) = 100 + 50/π
Population 35 years later P(35) = 200 + 50/π
Population any t ≥ 0 P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)
Step-by-step explanation:
P´(t) = 5 + 10*sinπt/5 ⇒ dP/dt = 5 + 10*sinπt/5
dP = ( 5 + 10*sinπt/5 ) *dt
P(t) = ∫ ( 5 + 10*sinπt/5 ) dt
P(t) = 5*t + 10 * ∫ sinπ*t/5* dt
P(t) = 5*t - 10*5/π *cos πt/5 + k
To determine k t = 0 P(t) = 35
P(0) = 5*0 - 50/π (1) + k
35 = - 50/π + k
k = 35 + 50/π and
P(t) = 5*t + 10*cos(π*t/5) + 35 + 50/π
b)P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5) (1)
a) Population 15 years later
P(15) = 35 + 50/π + 5*15 - 10
P(15) = 100 + 50/π
Again from equation (1)
P(35) = 35 + 50 /π + 5*35 + 10*cos(35*π/5)
P(35) = 35 + 50/π + 175 + 10*cos (7*π )
P(35) = 210 + 50/π - 10
P(35) = 200 + 50/π
Please help me ASAP........
Answer:
More on supplies than she earned in sales.
Answer:
She spent 25 dollars from her pocket. No profit
Step-by-step explanation:
Which of the following is a simple event?j
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Answer:
D. tossing a coin 3 times
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
Answer:
$21.15
Step-by-step explanation:
6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90
15/5 = 3 then 3 x 4.75= 14.25
14.25 + 6.90 = 21.15
Hope this helped <3
Answer:
$21.15
Step-by-step explanation:
Total Folder Amount: $1.15 • 6 = $6.90
Total Pen Amount: $4.75 • 3* = $14.25
*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*
$14.25 + $6.90 = $21.15
What property would you use to find an equivalent expression for 8 + ( 7 + 9)?
Answer:
Associative Property
Step-by-step explanation:
I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)8 + 7 + 9(8 + 7) + 9(8 + 9) + 7I hope this helps!
Answer:
associative property using this question
Solve -2a - 5 > 3
Which graph shows solutions
I-Ready diagnostic
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2a-5>3 Equation/Question
Step 2
-2a-5>3 Simplify
-2a-5>3
Step 3
-2a-5>3 Divide
answer
a<-4
Hope this helps
simple math! i'll mark you if you get it right
Answer:
C
Step-by-step explanation:
2 in this case is the weight and 34 is pounds
the graph is 100% proportional
If MN is a midsegment of ∆ABC, find the values of x and y.
Answer:
Step-by-step explanation:h
Answer:
d
Step-by-step explanation: