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Suppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 11 students in the class. How many different combinations of three selected students can Professor Rodgers create? number of combinations of three students: _________If Professor Rodgers decides he needs four students in the focus group, how many combinations can he create? number of combinations of four students: _____________
Answer:
(A) 165
(B) 330
Step-by-step explanation:
Total number of students in the class = 11
(A) How many different combinations of 3 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 3
11! / [8! 3!] = 165
HINT: 8! or 8 factorial represents [8x7x6x5x4x3x2x1]
(B) How many different combinations of 4 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 4
11! / [7! 4!] = 330
Same hint applies here, for all numbers with the factorial sign.
I really don’t understand this can someone pls help this is due soon and I will mark brainliest do not answer if your not sure
Answer:
|-3|=3
|0|=0
|3|=3
|-5|=5
A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of Xis given (in units of months) byf(x) ={cxe -x/2 x>0 0 x<0 What is the probability that the system functions for at least 5 months?
Answer:
0.2397
Step-by-step explanation:
Given data:
fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.
The probability that the system functions for at least 5 months
= 0.2397
attached below is a detailed solution
Of the 30 girls who tried out for the lacrosse team at Euclid middle school 12 were selected . Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls?how do you know?
Answer:
Yes they are the same i know this because for every 10 girls or boys there are 4 who try out for the team. so for every 10 Boys or Girls there are 4 that will try out for the team. For those wondering the ratio is 4:10
Step-by-step explanation:
Answer:
Yes, when simpilfied or written as a fraction they are equal
Step-by-step explanation:
12:30 = [tex]\frac{12}{30\\ \left \\\}[/tex] = [tex]\frac{4}{10\\}[/tex]
16:40 = [tex]\frac{16}{40}[/tex] = [tex]\frac{4}{10}[/tex]
Suppose the average salary for a data scientist is $83,105 with a standard deviation of $10,503. What is the probability that the mean salary of 31 randomly selected data scientists is less than $80,000.
Answer:0.0499
Step-by-step explanation:
Let x be a random variable that represents the salary for a data scientist.
Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]
standard deviation [tex]\sigma=\$10503[/tex]
Sample size : n= 31
The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.
[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]
Hence, the required probability = 0.0499.
Please Hurry
The graph shows the savings in Andre’s bank account.
What is the slope of the line?
What is the meaning of the slope in this situation?
Answers:
Slope = 5
Interpretation = Andre is saving 5 dollars per week
================================================
Work Shown:
The two points (0,40) and (4,60) are on the line
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (60-40)/(4-0)
m = 20/4
m = 5
The slope is 5.
In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.
note: the y intercept tells us that Andre started off with $40 in his account.
The slope is 5 in slope-intercept form.
What is in slope-intercept form?
Y = mx + b, which defines a line, is an equation's slope-intercept form.When a line is graphed, its slope, m, and its point of intersection with the y-axis, b, also known as the y-intercept, are shown.To find answers for x, y, m, and b, utilize slope intercept form.the y intercept tells us that Andre started off with $40 in his account.
Slope = 5
The two points (0,40) and (8,80) are on the line
Use the slope formula
Take any two points
m = (y2-y1)/(x2-x1)
= 80-40/8-0
= 40/8
=5
The slope is 5.
In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.
Learn more about slope-intercept form
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Simplify the given expression:.
(12/8 t -5)2 =
Answer:
3t-10
Step-by-step explanation:
[tex]( \frac{12t}{8} - 5)2[/tex]
[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]
[tex] = ( \frac{12t - 40}{8} )2[/tex]
[tex] = ( \frac{2(12t - 8)}{8} )[/tex]
[tex] = 3t - 10[/tex]
Follow the steps to finish solving the equation -3x+ 18=7x
1. Add 3x to both sides to isolate the variable term
2.Divide both sides by 10
PLEASE HELP WILL GIVE BRAINLYEST AND 20 POINTS
Answer:
9/5=x
Step-by-step explanation:
-3x+ 18=7x
-3x+3x+ 18=7x +3x
18=10x
18/10=10x/10
9/5=x
Answer:
Step-by-step explanation:
- 3x + 18 = 7x
- 3x + 3x + 18 = 7x + 3x ⇔ 18 = 10x
[tex]\frac{18}{10}[/tex] = [tex]\frac{10x}{10}[/tex] ⇔ 1.8 = x
x = 1.8
Please help thanks :)
Answer:
A) Symmetric Property Of Equality
Step-by-step explanation:
[tex]The\ symmetric\ property\ of\ equality\ just\ says\ that\ , if\ the\ LHS=RHS; then; RHS=LHS[/tex]
[tex]Here,\\-5=x\\x=-5[/tex]
The ratio of boys to girls in Ms. Graham’s class is 3 to 5. There are 20 girls in the class.
What is the total number of students in Ms. Graham's class?
Answer:32
Step for step explanation:
PLS HURRY!
Which statement is true about the polynomial
5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.
Which expression is modeled by this arrangement of tiles?
A. -40÷10
B. 40÷(-10)
C. 40÷10
D. 40÷40
Answer:
c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I need serious help!
Answer:
a = 14 ; b = 10
Step-by-step explanation:
ΔJKL ≅ ΔXYZ
The order of letters in triangle's "names" is important, it indicates the corresponding angles and sides.
∠J ≅ ∠X, ∠K ≅ ∠Y, ∠L ≅ ∠Z
segment JK ≅ segment XY,
segment KL ≅ segment YZ,
segment JL ≅ segment XZ
m∠Z = m∠L = 180° - (60° + 55°) = 65°
(4a + 9)° = 65°
4a = 65 - 9 ⇒ a = 14
XY = JK = 24 units
3b - 6 = 24 ⇒ b = 10
Can someone pls help me solving this? ITS NOT A TEST
Answer:
10x +12
Step-by-step explanation:
2(3x+7) = 6x+14
2(2x-1) = 4x-2
6x+14 +4x-2 = 10x+12
Answer:
P = 10x + 12
Step-by-step explanation:
The length of the rectangle is
L = 3x + 7
The width of the rectangle is
W = 2x - 1
The formula for perimeter of a rectangle is
P = 2L + 2W
Plug in the values for length and width and simplify.
P = 2(3x + 7) + 2(2x - 1)
P = 6x + 14 + 4x - 2
P = 10x + 14 - 2
P = 10x + 12
A pair of shoes is on sale for 15% off.With this discount,customers will save $9 if they buy the shoes.What was the original price of the shoes?
15 percent off 9.00 is 7.65
Step-by-step explanation:
The difference is 1.35
2) Find BC
С
67
52
4
B
21
A) 20
C) 20.7
B) 16
D) 18
Answer:
i got D
Step-by-step explanation:
sin 67 = sin 52
21 BC
BC=17.98
BC=18
AACB = ADCE
ZA = 3x-10, ZC = 45°, ZD = 2x+10
Step-by-step explanation:
< A = < D
3x_10 = 2X+10
X=20
At a recent frog jumping contest, the winning frog jumped 21 1/4 feet. The second place frog jumped 20 1/2 feet. How much farther did the first place frog jump?
What is the value of the expression below?
-8+19+8
ОО
O 11
O 19
O 35
Answer:
the answer would be 19.
Step-by-step explanation:
-8+8=0
0+19=19
Answer:
19
Step-by-step explanation:
Please help me please
Answer:
it is A and C
Step-by-step explanation:
If you do the math and equations of all of these, you will find that:
10 is 2.5x bigger than 4 (Side lengths DE and BA)
and if we do the equation:
x · 2.5
(the x variable stands for the different side lengths of triangle ABC)
it will equal the side lengths of the bigger triangle.
and when I finished doing that, I multiplied all of the answers to find the area:
12.5 x 7.5 x 10 which altogether is 937.5
none of the other answers for the total of the triangle add up to be that, but side length EF is 7.5, which I used to get my total answer of 937.5.
So the answer is A and C
Please help! Not good at math whatsoever!!
I need help ASAP it’s the one with the distributive property
Answer:
6 × (7 + 9) = (6×7)+(6×9)
what is 2/5 of 3 3/4
1 1/2
Because I divided them and I got 1.5 then turned 1.5 into a simplified fraction.
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost
$25.65. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of
another 2 panes of glass?
Another 2 panes of glass cost $____
Step-by-step explanation:
so first you would ave to find the unit rate,so 25.65/9=$2.85 then you would multiply 2.85*2 for the other 2 that she broke. You would get $5.70 add that to the 25.65 you would get $31.35. the two panes of glass=$5.70 and altoger with the two pans of glass you would get $31.35
List the transformations of the function.
*
g(x) = -(x+5)-4
Answer:
Transformations of g(x) = -(x+5)-4:
reflects across x-axistranslates left translates downA psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 75 of the 729 randomly selected people who were surveyed agreed with this theory.
a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is betweenand .
b. If many groups of 729 randomly selected people are surveyed, then a different confidence interval would be produced from each group. About Correct percent of these confidence intervals will contain the true population proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain and about Correct percent will not contain the true population proportion.
PLZ answer fast! u will be rewarded
Answer:
65 and 115
Step-by-step explanation:
The two angles are same side interior angles which means they add to 180
3x-5 + 2x-15 = 180
Combine like terms
5x -20 = 180
Add 20 to each side
5x-20+20 = 180+20
5x= 200
Divide by 5
5x/5 = 200/5
x=40
The top angle is
3x-5 = 3*40 -5 = 120-5 = 115
The bottom angle is
2x-15 = 2*40 -15 = 80 -15 = 65
I WILL GIVE 10$ paypal siif answered correctly
Answer:
donald trump can su*k my d*ck
Step-by-step explanation:
1.What is the core characteristic that defines a zero-based budget?
2.Bianca has take-home pay every month of $800. She anticipates having $675 of expenses in August.
3.In a zero-based budget, why is it important that she put the extra $125 in some budget category?
4.Where might you suggest Bianca budget that extra $125? Why?
5.Does using a zero-based budget mean that your bank account will hit $0 at the end of every month? Explain.
Say that Bianca has take-home pay of $800, she budgets every cent out at the start of the month, and she then she needs less gas money than expected in August. She no longer spends the full $65 she budgeted there. What should she do with the leftover?
Answer:
1. You account for every dollar you make to where your budget shows you have $0
2. She will have $125 leftover to budget out as she sees fit
3. If she does not account for it she may over spend or think she has extra money
4. I would put it in savings
5. No this is not what it means. This means that your paycheck will be able to cover your expenses.
6. You should put extra money in savings. You never know what will occur and savings can always help.
Step-by-step explanation:
Blanca has a savings of $125, she needs to allocate this amount to fulfill the zero-based budget conditions, as a saving she can allocate the remaining amount.
What is the zero-based budget?It is defined as the budgeting method that allows you to fix an amount for everything such as utility expenses, savings, and miscellaneous expenses In other words income minus all expenses plus savings should be equal to zero.
1) The core characteristic of the zero-based budget as follows:
Strategy is dependent on what each unit can provide for the price.Quick changes can be made in the budget anytime if it is required to do so.All the people of the organization can participate in the budgeting process.The purposes of each unit are in line with the corporate aspirations.2) Blanca has take-home pay every month = $800
Total expenses = $675
Savings = Income - Total expenses
= $800 - $675 ⇒ $125
We can assume Blanca has savings of $125 at the end of the month.
3) The extra amount = $800 - $675 ⇒ $125
According to a zero-based budget income minus all expenses plus savings should be equal to zero.
Therefore Blanca needs to allocate this amount($125) to some budget category.
4) Blanca has a total of $675 expenses she will have $125 as saving at the end of the month.
She should allocate this amount to savings because it will increase her wealth.
5) Zero-based budget does not mean that at the end of every month Blanca has zero dollars in her bank account because as per the definition zero-based budgeting means income minus expenses should be equal to zero. Blanca has savings and other emergencies funds in her bank account.
Thus, Blanca has a savings of $125, she needs to allocate this amount to fulfill the zero-based budget conditions, as a saving she can allocate the remaining amount.
Learn more about the zero-based budget here:
https://brainly.com/question/15994567
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
Step-by-step explanation:
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0