Using the combination formula, it is found that the committee can be selected in 1,211,760 ways.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
2 sophomores from a set of 18.2 juniors from a set of 12.3 seniors from a set of 10.They are independent, so we can just multiply them, thus:
[tex]T = C_{18,2} \times C_{12,2} \times C_{10,3} = \frac{18!}{2!16!} \times \frac{12!}{2!10!} \times \frac{10!}{3!7!} = 1211760[/tex]
The committee can be selected in 1,211,760 ways.
A similar problem is given at https://brainly.com/question/24650047
Which of the following are in the range of the function graphed below? Check all that apply.
A. 0
B. -1
C. 6
D. -4
E. 2
F. 1
How to know domain and range from co-ordinate pairs?
If a pair be (x,y) then x is domain and y is range .Here range of graph is
[tex]\\ \sf\longmapsto y\in\{-2,3\}[/tex]
Hence answers are
-1,0,1,2fx) varies directly with x and f(x) = 50 when x = -10, then what is f(x) when x = 15?
Answer:
f(x)=-75
Step-by-step explanation:
since f(x) varies directly with x
it implies that f(x)=Kx
k=f(x)/x
when f(x)=50 and x=-10
k=50/-10
k=-5
but when x=15, f(x)=-5×15
f(x)=-75
Please help me out, im struggling with this one
Answer:A
Step-by-step explanation:
City Cab Taxi charges a $2.95 flat rate for a ride in the cab in addition to that they charge $0.50 per mile Katie has no more than $25 to spend on a ride at most how many miles can KD Travel without exceeding her spending limit
Answer:
44 miles
Step-by-step explanation:
25-2.95
22.05
22.05/0.5
They can go 44 miles
She can travel 44.1 miles at most.
What is inequality?Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Let Katie can travel [tex]x[/tex] miles
[tex]2.95 + 0.50x\leq 25[/tex]
[tex]0.50x\leq 25-2.95[/tex]
[tex]x\leq 44.1[/tex]
She can travel 44.1 miles at most.
Find out more information about inequality here
https://brainly.com/question/20383699
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Read the story. Barry is on the school tennis team. At practice yesterday, he did 3 forehand strokes for every 2 backhand strokes. Pick the diagram that models the ratio in the story. Barry did 50 strokes when he practiced yesterday, and all were either forehand or backhand. How many backhand strokes did he do?
How many gallons of gas did I Maria use?
Answer:
tyler used is 17.04 and maria used 6.2
is 1020591 answer
1. What is the degree? *
For the polynomial 10x2 – 8x4 + x3 +5,
Your answer
We know, the exponent of the highest degree term in a polynomial is known as its degree.
Here, the highest power is 4.
So, the degree of the polynomial is 4.
Answer:
4
Step-by-step explanation:
The degree of any polynomial is the highest power contained by the variable. In the given polynomial, the highest power of x is 4. Hence, 4 is the degree of the polynomial.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807i don't know how to do math lol
Answer:
6.5 I'm not sure
Step-by-step explanation:
Pls help meeee and if y’all want give me yalls snap or sum cus I need more help
Answer:
30+10 which equals 40
Step-by-step explanation:
jsdghwhi
Question In The Screenshot
y=mx+b m= rise/run = change in Y/change in x/ b= y-intecept.
Answer:
y = -[tex]\frac{2}{8}[/tex] + 5
Step-by-step explanation:
You have all that you need
(y = mx+b, m= rise/run which is the change in y/change in x, b = y-intercept.)
so now we just need to put it to use!
Let's take y = mx + b and break it into two parts. We need the b and the m. The b is easier, because we can conclude by looking at the graph it is equal too 5. Here is our equation so far:
y = mx + 5
Now we need to solve for m:
[tex]\frac{rise}{run} = \frac{2}{8}[/tex]
The line is going dowards, so the slope (m) is negative.
Here is our final answer:
y = -[tex]\frac{2}{8}[/tex] + 5
Can somone llsss hell plssss
Answer:
D
Step-by-step explanation:
a hearty breakfast cause it sound more better
Help I’ll mark you brainlist
Answer:
it says you did it already
Step-by-step explanation:
insta dfl.jacob messeage for help
Simplify:
A)
B)
C)
D)
8y - 2 - 3(y – 4)
lly - 6
5y - 6
5y - 14
5y + 10
I
36a
Write the fraction in lowest terms:
Please help. I’m reviewing algebra and i have no memory of this.
5y + 10
step by step :
8y - 2 - 3 ( y - 4)
8y - 2 -3y + 12
8y - 3y - 2 + 12
3y + 10
A soap manufacturer advertises that it has increased the size of their bottle of
dishwashing soap to 18,4 ounces, which is 5% more than the original size,
What is the original size of the bottle?
Round your answer to the nearest tenth
The original size of the bottle is 17.5 ounces.
The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottle was increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle.
To determine the original size of the bottle, this formula would be used:
New bottle size / total percentage increase in the bottle = initial size of the bottle
18.4 / 1.05 = 17.5 ounces
A similar question was answered here: https://brainly.com/question/24666000?referrer=searchResults
The original size of the bottle is 17.5 ounces.The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottlewas increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle. To determine the original size of the bottle, this formula would be used: New bottle size / total percentage increase in the bottle = initial size of the bottle 18.4 / 1.05 = 17.5 ounces.
4 x 3 + 4 x 2 + 13 x + 6 4x 3 +4x 2 +13x+6 is divided by 2 x + 1 2x+1.
Answer:
If you are trying to simplify this then the answers 304 + 13x
Step-by-step explanation:
What is the slope between (-14,-12),(7,17)
Answer:
[tex]let, slope=m[/tex]
[tex]Therefore,m = 29 / 21 = 1.38095[/tex]
Answer:
Slope ≈ 1.38
Step-by-step explanation:
GIVEN :-
(x₁ , y₁) = (-14 , -12)(x₂ , y₂) = (7 , 17)TO FIND :-
Slope between the given pointsSOLUTION :-
Formula for slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using this formula ,
[tex]Slope = \frac{17 - (-12)}{7 - (-14)}[/tex]
[tex]= \frac{17 + 12}{7 + 14}[/tex]
[tex]= \frac{29}{21}[/tex]
[tex]= 1.38 (appx.)[/tex]
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
85 points -
Answer:
y ≥ -1/2x + 2y > 2x - 3Step-by-step explanation:
Find equations of each line using two points on each and then determine the inequalities.
Line 1Points
(0, 2) and (2, 1)The slope is:
m = (1 - 2)/2 = -1/2The y -intercept is 2.
The line is:
y = -1/2x + 2The shaded region is to the right and the line is solid, so the inequality is:
y ≥ -1/2x + 2Line 2Points:
(0, -3) and (2, 1)The slope is:
m = (1 - (-3))/2 = 2The y- intercept is -3The line is:
y = 2x - 3The shaded region is to the left and the line is not solid, so the inequality is:
y > 2x - 3If you help me thank you so much I appreciate you
Answer:
Alek can be annoying some times and I understand
Step-by-step explanation:
The answer should be 13.2
84.6-5.4 = 79.2
79/6 = 13.2
Which of the following functions represent exponential decay? f(x)=3(1.7)^x-2
f(x)=3(1.7)^-2x
F(x)=3^5(1/4)^x
F(x)=3^5(2)^-x
Answer:
F(x)=3^5(1/4)^x
Step-by-step explanation:
By the exponential decay definition: y = ab×
b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.
There is only (1/4)ˣ : where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice
----------------------------------------------------------------------------------------------------------
But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)
Answer:
B, C, D
Step-by-step explanation:
A group consisting of 6 people is to be selected from eight parents and four teachers.
Find the probability of selecting three parents and three teachers.
Answer:
9/32 or 0.28125
Step-by-step explanation:
8 parents and 4 teachers
There are 12 possible outcomes.
probability = # of favorable outcomes / # of possible outcomes
Let's do the teachers first.
There are 4 teachers, and we are finding the probability for 3 of them being picked.
Therefore,
P = 3/4
Now let's do the parents.
There are 8 parents, and we want 3.
Therefore,
P = 3/8
Now, we do [tex]\frac{3}{4} *\frac{3}{8} = \frac{9}{32}[/tex]
Therefore, the chance of 3 teachers and 3 parents being picked out of 4 teachers and 8 parents is 9/32, or in decimal form 0.28125.
Hope this helped!
A politician claims that he is supported by a clear majority of voters. In a recent survey, 38 out of 60 randomly selected voters indicated that they would vote for the politician. (You may find it useful to reference the z table.)
a. Select the null and the alternative hypotheses.
multiple choice 1
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b. Calculate the sample proportion. (Round your answer to 2 decimal places.)
c. Calculate the value of test statistic. (Round final answer to 2 decimal places.)
d. Find the p-value.
multiple choice 2
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025
e. At the 5% level of significance, what is the conclusion?
multiple choice 3
Do not reject H0; the politician’s claim is not supported by the data.
Do not reject H0; the politician’s claim is supported by the data.
Reject H0; the politician’s claim is not supported by the data.
Reject H0; the politician’s claim is supported by the data.
Testing the hypothesis for the proportion, it is found that:
a) H0: p ≤ 0.50; HA: p > 0.50
b) The sample proportion is [tex]\pi = 0.6333[/tex].
c) The test statistic is [tex]z = 2.07[/tex].
d) The p-value of the test is of 0.0192.
e) Reject H0; the politician’s claim is supported by the data.
Item a:
At the null hypothesis, we test that the politician does not have the majority, thus:
[tex]H_0: p \leq 0.5[/tex]
At the alternative hypothesis, we test that he/she does have the majority, thus:
[tex]H_1: p > 0.5[/tex]
Item b:
38 out of 60, thus:
[tex]\pi = \frac{38}{60} = 0.6333[/tex]
The sample proportion is [tex]\pi = 0.6333[/tex].
Item c:
The test statistic is:
[tex]z = \frac{\pi - p}{\sqrt{\frac{p(1 - p)}{n}}}[/tex]
For this problem, [tex]\pi = 0.6333, p = 0.5, n = 60[/tex], thus:
[tex]z = \frac{0.6333 - 0.5}{\sqrt{\frac{0.5(0.5)}{60}}}[/tex]
[tex]z = 2.07[/tex]
The test statistic is [tex]z = 2.07[/tex].
Item d:
The p-value of the test is the probability of finding a sample proportion above 0.6333, which is 1 subtracted by the p-value of z = 2.07.
Looking at the z-table, z = 2.07 has a p-value of 0.9808.
1 - 0.9808 = 0.0192
The p-value of the test is of 0.0192.
Item e:
The p-value of the test is of 0.0192 < 0.05, thus, his claim is supported by the data, and we reject the null hypothesis. Then, the correct option is:
Reject H0; the politician’s claim is supported by the data.
A similar problem is given at https://brainly.com/question/24166849
for science project, you want to dispaly 36 rocks in row, with the same number of rocks in each row find the arrangement that you can use
Answer:
1 row with 36 rocks in them
2 rows with 18 rocks in them
3 rows with 12 rocks in them
4 rows with 9 rocks in them
6 rows and 6 rocks in each one
9 rows with 4 rocks in them
12 rows with 3 rocks in them
18 rows with 2 rocks in them
36 rows with 1 rock in them
Step-by-step explanation:
Just find what can be multiplied to 36 and you get your answer! (without a decimal)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
f(x)=3x-1 and g(x)=x+2, find (f-g)(x)
A. 2x-3
B. 2x-1
C. 4x+1
D. 3-2x
Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (3x-1) - (x+2)
(f - g)(x) = 3x-1 - x-2
(f - g)(x) = (3x-x) + (-1-2)
(f - g)(x) = 2x-3
Need help on this, what is the correct name for this number?
Answer:
I believe its the third one
17. Part A
How can you round 955,555 two different ways to get the same rounded number?
Answer:
Round it to 1,000,000 or 956,000
Step-by-step explanation:
Six times the sum of a number and 5 is 2
Answer:
Here's the sentence in an equation: 2 = 6(x + 5)
Solve this. get Brainliest for CORRECT answer. And a thanks. And 5 stars.
9514 1404 393
Answer:
D
Step-by-step explanation:
The absolute value function has its vertex at (1, 3). It is scaled by a factor of -2, so its transformation of the parent function f(x) = |x| will be ...
-2f(x -1) +3 = -2|x -1| +3
This represents the left side of the equation you're seeking.
The right side equation is the equation of a line with slope 2/5 and y-intercept -2.2 = -11/5.
The equation that has both the left side and the right side correct is ...
D. -2|x -1| +3 = 2/5x -11/5
If the rectangle below is enlarged by a scale factor of 1.5, what will be the area of the new rectangle?
Sigma notation of 8+4+2+1+1/2+…
Answer:
-1 have a great day ahead