Answer:
79,920 different ways
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666
120 * 666 = 79,920 ways
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
O x=-5
O X= 4
O y=-5
O y = 4
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Point-slope form
Complete the point-slope equation of the line through (-4, 8) and (4,4).
Use exact numbers.
WHOEVER ANSWERS RIGHT GETS BRAINIST
There are actually two correct answers, one of them is y-4=-0.5(x-4)
First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=[tex]-\frac{x}{2} +6[/tex], with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.
$22 haircut; 20% tip
help..
Answer:
20% tip = $4.40; total = $26.4
Step-by-step explanation:
20 % = 0.20 ------> 22 * 0.20 = 20% of 22
20% of $22.00 = $4.40
total = $22.00 + $4.40
total = $26.40
Julie has two bags of grapes. One weighs 5/8 pound and the ther weighs 1/4 pound. What is the difference in the two bags of grapes?
Answer:
one bag is heavier and the other is lighter.
Step-by-step explanation:
5/8 = more than half a pound
1/4 = less than half a pound
Answer:
3/8
Step-by-step explanation:
You have to make 1/4's denominator match the denominator of 5/8.
By multiplying it by 2.
1/4 =2/8
You then subtract 2/8 into 5/8 to get 3/8
Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.
Answer: B.The range Is Higher for city A than City B
E. The median is the same for city A and City B
According to the calculations, the correct statements are B and C.
Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:
The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.
Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.
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[tex]\frac{x-c}{2} =d, for ( x)[/tex]
SHow your work!
Which of the following is not a function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 2, 3. Column 2 is labeled y with entries 3, 4, 5, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Answer:
A on edge. -
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Step-by-step explanation:
got it right
Answer:
it is A on edge the guy before me is wrong
Step-by-step explanation:
i neeed thiss pleaseeeeeee!!!!!!
What is the slope of the line represented by the equation y = 4/5x - 3
Answer:
the slope 4/5x and the y intercept is -3
Step-by-step explanation:
find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.
Answer:
the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Step-by-step explanation:
Given the equation
$t² = 324$
Let us solve the equation
[tex]t^2=324[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]
as
[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]
so
[tex]t=18,\:t=-18[/tex]
Thus, the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Ur account got ha ked again...
well...
ill let you see for
Not an emergency question, but it’s kinda important.
Which one is greater 4% or 0.001%
Answer:
4%
Step-by-step explanation:
dude if you got a whole number and a decimal, the whole number is going to be greater (as long as it isn't negative)
8x=24
Solve the equation for x
Answer:
x=3
Step-by-step explanation:
Divide both sides by 8.
Answer:
3
Step-by-step explanation:
8x3=24..............
Write an algebraic expression in simplest form that represents the purchase described below.
Use the information provided:
Cat toy $4
Cat food $12
Litter box $16
Ms. James bought x number of litter boxes and 8 bags of cat food for the animal shelter.
Answer: 16x+96
Step-by-step explanation:
Since x is the number of litter boxes, you multiply it by the cost of the litter box. It would be 16*x, but you can also phrase it as 16x. For the cat food, you need to multiply 12 by 8. This is because it costs $12, and she bought 8 bags of the food. If you do 12*8, you get 96. In the end, you get 16x+96
A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
46.78
Step-by-step explanation:
you divide 16 by the cos of 70 and it turns out to be 46.78
What is the answer.”what is the slope and the y-intercept of the line on the graph below.
Answer: A: Slope = -4, y-intercept 1
Step-by-step explanation:
To find slope, do rise over run. The y-intercept is where the line crosses the y-axis.
13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi
Answer:
What is the circumference of a circle whose area is 16 π ?
A. 64 π
B. 32 π
C. 8 π
D. 4 π
Step-by-step explanation:
its 8 π cause it said it was correct
If Oni uses all 3 of the $0.44 cent stamps he has, what
is the minimum number of $0.10 stamps he needs to
use?
Ori needed at least $1.47 in postage to mail an
envelope to his cousin overseas. If x represents the
number of $0.44 cent stamps he has and y represents
the number of $0.10 cent stamps he has the inequality
representing the number of stamps he can use to mail
the envelope is 0.44x+0.1021.47
O 1
O2
O 3
05
Answer: b
Step-by-step explanation: edge 2020
Ursula ordered products for the craft store. She ordered baskets that cost $17 each and flower arrangements that cost $13 each. She spent a total of
$576.
If Ursula ordered 14 baskets, how many flower arrangements did she order?
Answer:
26 flower arrangements
Step-by-step explanation:
14 times $17 equals $238
$576 - $238 = $338
$338/13 = 26 flower arrangements
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
forgot to put photo but this is a repost HELP EMEBAHNDJFKG
Answer:
a
Step-by-step explanation:
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
Question options:
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river
Explanation:
Formula to calculate standard deviation = √p(1-p)/n
Given p= population proportion
n= sample size
From the question,
We are given p(population proportion of catfish in the river)= 0.47
n(sample size of fish collected from river) = 25
The standard deviation using the formula above = √0.47(1-0.47)/25
= 0.0998
The 10% condition demands that a sample size be not less than 10% of the population
To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,
10% of 250= 0.10×250=25 fish
Therefore the option B chosen is correct
The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.
Answer:
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
The calculation is as follows:
For Elevator A: -4x+16
And,
Elevator B: -3x +16
Therefore the above statements are true.
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What is - 2 x 6 - 5^2?
Answer:
The answer is -300
Step-by-step explanation:
The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300
I need help asap pleaseeee
Answer: B,C
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards
Answer:
3
Step-by-step explanation:
V=πr2h
3
Solving for r
r=3V
πh=3·47.1
π·5≈2.99924
Answer:
3
Step-by-step explaination
YALL HELP PLEASE THANK U
Answer:
I am not getting this question
Step-by-step explanation:
Given Vertex (5,4) and focus (8,4)
It can be easily noticed that focus and vertex lie on the same horizontal line y = 4
Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.
(y−k)^2=4a(x−h)
a=8-5=3 as y coordinates are the same.
Since the focus lies to the left of vertex, a = 3
(y−4)^2=4⋅3⋅(x−5)
(y−4)^2=12(x−5)
is the equation of the parabola.
7. Use the base angles of triangle ABC to find the measure of angle CBD.
Answer:
96
Step-by-step explanation:
For those of you who have an 84 angle for angle D and E isosceles trapezoid the base legs will be equal due to the congruent legs, all of the interior angles of a trapezoid will add up to 360, D and E equal 84, 360-84-84 would be 192, now since the base angles are equal due to the congruent legs 192/2 would be 96. Angles B and C are 96.
The external angles of a triangle are those created outside of it. The measure of ∠CBD is 132°.
What is an exterior angle?The external angles of a triangle are those created outside of it. In other terms, a triangle's external angle is the angle produced between one of its sides and its neighbouring extended side.
The diagram for the given condition can be made as shown below.
In a triangle, the sum of two interior angles is equal to the exterior angle for the angle which is left. Therefore, the measure of ∠CBD can be written as,
∠CBD = ∠BAC + ∠BCA
∠CBD = 43° + 89°
∠CBD = 132°
Hence, the measure of ∠CBD is 132°.
The complete question is:
Triangle ABC with the measure of ∠A equal to 43° and the measure of ∠C equal to 89°. Ray AD passes through point B, creating external angle CBD.
Based on the information provided, what is the measure of ∠CBD?
m∠CBD =__________.
Learn more about Exterior Angle:
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Sara got 720 marks out of 800 in the Basic Level Examination. How many percent of marks did she obtain?
In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.
∠3and∠5
A
Complementray Angles
B
Vertical Angles
C
Corresponding Angles
D
Supplementary Angles
Answer:
I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol
Step-by-step explanation:
i hope it work
Which table does not show y as a function of x please show explation
