Answer:
512 ways
Step-by-step explanation:
Given
Selection
Faculty Member = 1
Male Student = 1
Female Student = 1
Parent = 1
School Board Member = 1
Select from:
Faculty Member = 2
Male Student = 4
Female Student = 4
Parent = 4
School Board Member = 4
Required
Determine how many ways they can be selected
There are 2 faculty members of which 1 will be selected from.
Any of these two members may be selected.
So, Selection = 2
There are 4 male students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 female students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 parents of which 1 will be selected from.
Any of these four parents may be selected.
So, Selection = 4
There are 4 school board members of which 1 will be selected from.
Any of these four members may be selected.
So, Selection = 4
Total number of selection is then calculated as thus:
[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]
[tex]Selection = 512[/tex]
Hence, there are 512 ways
If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class
Answer:
10 girls
Step-by-step explanation:
A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?
Answer:
7/9
Step-by-step explanation:
There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!
Given vectors u = ⟨–2, 1⟩ and v = ⟨4, –2⟩, which statement is true concerning u and v? a. The vectors form an obtuse angle of approximately 93°. b. The vectors form an obtuse angle of approximately 96°. c. The vectors form an obtuse angle of approximately 127°. d. The vectors point in opposite directions.
Answer:
D) The vectors point in opposite directions.
Step-by-step explanation:
got it right on edge :)
see graph below
Answer:
D. The vectors point in opposite directions.
Step-by-step explanation:
The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.
Answer:
The population at the beginning of 2016 is 55,326.
Step-by-step explanation:
Giving the following information:
Population 2010 (PV)= 42,000
Growth rate (g)= 4.7% = 0.047
Number of years (n)= 6 years
To calculate the population at the beginning of 2016, we need to use the following formula:
FV= PV*(1+g)^n
FV= 42,000*(1.047^6)
FV= 55,326
The population at the beginning of 2016 is 55,326.
Simplify
5.x - 3+27 +7
Answer:
5x+31
Step-by-step explanation:
Answer:
x2+3x+9
Step-by-step explanation:
X squared plus 3x plus 9, just for clarity. I believe this is the right answer, if not let me know in the comments.
PLS HELP!!!!!!?? 21 points
f(x)=x2. what is g(x)?
A.g(x)=(9x)2
B.g(x)=(1/3x)2
C.g(x)=(3x)2
D. g(x)=3x2
I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent
Answer:
F(p) = 500 + 0.5p
Step-by-step explanation:
Given that :
Bonus point on first purchase = 500
Number of points earned for every 2 dollar spent = 1
Points earned as a function of amount spent :
Bonus point + points earned per dollar
Number of points earned per dollar = 1 / 2
Let p = amount spent
F(p) = function representing the points earned
Hence,
F(p) = 500 + 0.5p
Which statement correctly describes the expression (–12)7
Answer:
answer #n
Step-by-step explanation:
we cant see the options
Answer:
One factor is positive and one factor is negative, so the product will be negative.
Step-by-step explanation:
Factor this polynomial completely
x2 - 8x+ 12
O A. (x-2)(x-6)
B. (x + 2)(x-6)
c. (x - 2)(x+6)
D. (x-3)(x - 4)
Answer:
(x-2)(x-6)
Step-by-step explanation:
We look for two integers which multiply to +12 but add to -8 and we find those numbers by looking at the factors of 12={1,2,3,4,6,12}
We find that by picking 6 and 2,6×2=12 but 6+2 is not -8 so we tweak that as -6 and-2
By so doing, now -6×-2=12,-6+(-2)=-8
so we factor to get (x-2)(x-6)
When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?
Set up a ratio with height over shadow height:
40/30 = x/15
Cross multiply:
40 x 15 = 30x
600 = 30x
Divide both sides by 30:
X = 20
The tree is 20 feet tall.
Answer:
20
Step-by-step explanation:
It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15
30 = 2 * 15
So we simply do that to 40 too.
40 / 2 = 20
So 20 is our answer.
3/4g=-12
solve and if you can explain the process bc I have no clue what I'm doing
Answer:
-16
Step-by-step explanation:
3/4 = 0.75
0.75 x -16 = -12
Find each amount:
3.8% of 25
Answer:
0.95
Step-by-step explanation:
3.8 % of 25 is equal to 0.95.
To find 3.8 % of 25, we can calculate it using the following formula : Amount = ( Percentage / 100 ) * Base.
In this case, the percentage is 3.8 and the base is 25.
Using the formula , we have : Amount = ( 3.8 / 100 ) * 25.
First, we divide 3.8 by 100, which gives us 0.038. Then, we multiply 0.038 by 25 to find the amount.
Calculating, we have : Amount = 0.038 * 25 = 0.95.
Therefore, The value of 3.8 % of 25 is equal to 0.95.
Learn more about percentage here
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What is the order for this?
need help ASAP
thanks
Answer:
Crust, mantle, outer core, inner core
Step-by-step explanation:
Does anyone know thissss
what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6
Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.
Step-by-step explanation:
Another name for Rotation is slide.
True
False
False:
A rotation is the action of rotating around an axis or center.
A slide means to move along a smooth surface while maintaining continuous contact with it.
same question again. ugh
Answer:
-3
Step-by-step explanation:
the slope is -3 because it goes down 3 y for every 1 forward on x
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, -3)
Point (-1, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract: [tex]m=\frac{6}{-2}[/tex]Divide: [tex]m=-3[/tex]if f(x)=x^2+4x-12. find f(2)
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
If you want to know more about evaluating:
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You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18
Answer:
B 1/9
Step-by-step explanation:
Because there are 6 sides of a die then your adding 3 to the 6
I think. (please dont hate me if im wrong!!)
The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
For this case, let we define two events:Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.
Thus, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Total number of outcomes for any roll = n(S) = 6
Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)
Thus, P(A) = n(A)/n(S) = 1/6
And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)
Thus, P(B) = n(B)/n(S) = 2/6
Hence, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]
Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
Learn more about probability here:
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what is the y-intercept of the graph of the function
Answer:
(0,-5)
Step-by-step explanation:
It is where the line meets the y axis
What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?
La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?
what is the y-intercept of a line that has a slope of -3 and passes through point (0,-7)
A -7
B -3
C 0
D 4
bruh math problems really be like
"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"
smh.
Answer:
Bruu for real and they don't make sense LOL
Step-by-step explanation:
Answer:
FACTS lmbooo
Step-by-step explanation:
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
Amy said 49 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A.
0.49
B.
0.444
C.
0.444
D.
0.49
what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :
Answer:
10x^2+7x+1
Step-by-step explanation:
Let's simplify this step-by-step.
3x^2+5x−9+7x^2+2x+10
=3x^2+5x+−9+7^x2+2x+10
After, combine like terms. (Simplify the expression)
Here is a step-by-step row.
= 3x^2+5x+-9+7x^2+2x+10
= (3x^2+7x^2)+(5x+2x)+(-9+10)
= 10x^2+7x+1
That is the most simplified form, I hope this helped!
I also adore your profile picture, it's so aesthetic ♡
..you watch anime? if so, me too! here's the answer, 18 :))
step-by-step explanation:
3 + 5= 8
8 - 9= -1
-1 + 7= 6
6 + 2= 8
8 + 10= 18
your answer is 18!!
ANSWER THIS URGENTLY PLEASE !!!!
A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
20 minutes. After 20 minutes, they open another drain valve and it drains 200 gallons in the next 20 minutes. The drain valves are closed for
10 minutes, while the workers take a break and then the water heater is drained until the water heater is completely empty.
What are the domain and the range of this relation?
Answer:
0<x<70
0<y<500
Step-by-step explanation:
The range is the values horizontally (up to down)
The domain is the values vertically (left to right)
Answer:
0 ≤ x ≤ 70
0 ≤ y ≤ 500
Step-by-step explanation:
By the ways, 0 ≤ y ≤ 70 and 0 ≤ x ≤ 500 look similar BUT not the right answer, so be careful.
4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is
Answer:
Step-by-step explanation:
If Sheila buys
200 shares for 18.25
200*18.25==3650
she sells them for
200*32.50=6500
her profit is
6500-3650=2850.00
another way to solve this would be
32.50-18.25=14.25
14.25*200=2850
In 2004 pin header Marie walk 680 miles to the south pole the trip took 58 days suppose they travel the same distance each day write and solve a multiplication equation to find how many miles they travel each day to the nearest whole number
Answer: 12 miles
Step-by-step explanation:
From the question, we are informed that Marie walk 680 miles to the south pole and that the trip took 58 days and they travel the same distance each day.
The number of miles that they travel each day to the nearest whole number will be gotten by dividing 680 miles by 58. This will be:
= 680 miles / 58
= 11.72
= 12 miles to nearest whole number.