Suppose a group of 12 students consists of five freshmen and seven sophomores. How many six-student teams can be chosen that consist of three freshmen and three sophomores? Give your answer as an integer.

Answers

Answer 1

Answer:

350

Step-by-step explanation:

Suppose A Group Of 12 Students Consists Of Five Freshmen And Seven Sophomores. How Many Six-student Teams

Related Questions

please help out
3/2÷5

Answers

Answer:

0.3

Step-by-step explanation:

[tex] \frac{3}{2} \div 5[/tex]

[tex] = \frac{3}{2} \times \frac{1}{5} [/tex]

[tex] = \frac{3}{10} [/tex]

= 0.3 (Ans)

Answer:

3/10

Step-by-step explanation:

3/2÷5

3/2÷5/1

3/2÷10/2 ( LCM of denominators)

3/2×2/10 ( Reciprocal of 10/2)

3/10 (Cancelling 2 by 2)

a 16- ounce package of cereal costs $4.00. what is the units cost?

Answers

Answer:

1 oz = $25

Step-by-step explanation:

Answer:

1 OZ= 25 cents.................. this is correct

Step-by-step explanation:

you multiple 16 times .25 which gets 4.00


[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]
What the value of n​

Answers

Step-by-step explanation:

[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]

[tex] {7}^{2n + 1} \div {7}^{2} = {7}^{3} [/tex]

[tex] {7}^{2n + 1 - 2}= {7}^{3} [/tex]2n-1=32n=4n=2

What is the slope of the line passing through (-3, 5) and (5, -3)?

Answers

Answer:

The line has a slope of -1.

Step-by-step explanation:

To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2 }-y_{1} }{x_{2} -x_{1} }[/tex].

For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.

[tex]y_{2}=-3[/tex]

[tex]y_{1}= 5[/tex]

[tex]x_{2}=5[/tex]

[tex]x_{1} =-3[/tex]

Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(5)}{5-(-3)}[/tex]. Then, simplify the equation, which will look like  [tex]\frac{-8}{8}=-1[/tex]. The final answer will be -1.

What is the distance between the points?

Answers

Answer:

[tex] \sqrt{113} [/tex]

Step-by-step explanation:

To find the distance between the two points, apply the distance formula given as:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] (-4, -5) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]

[tex] d = \sqrt{64 + 49} [/tex]

[tex] d = \sqrt{113} [/tex]

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: Determine the distance between (-4, -5) and (4, 2).

From inspection on the given problem:

[tex]\sf (x_1, y_1) = (-4, -5)[/tex][tex]\sf (x_2, y_2) = (4, 2)[/tex]

Substitute the given values into the distance formula and solve for d:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]\sf d = \sqrt{[4 - (-4)]^2 + [2 - (-5)]^2}[/tex]

[tex]\sf d = \sqrt{(8)^2 + (7)^2}[/tex]

[tex]\sf d = \sqrt{64 + 49}[/tex]

[tex]\bold{d = \sqrt{113} \approx 10.6 \: units}[/tex]

Therefore, the distance between two points is [tex]\sqrt{113}[/tex] or 10.6 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

Find the distance between P(1, 3) and Q(7, 11).

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437

I need help with this math problem please

Answers

It’s D

have a great day!

photo attached below :)

Answer:

option D

Step-by-step explanation:

[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]

[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]

how do your find solution to z^5 = *7776i

Answers

Answer:

you have to solve for z, z = 6\root(5)(i), this to the power of 5 equals 77761

Step-by-step explanation:

What is the standard form polynomial that represents this product?
(-2m3+3m2-m) (4m2+m-5)

Answers

Correct answer on Edmentum

If the diameter of the Ferris wheel is 70 feet across, find the total distance traveled in one revolution.

Answers

Answer: Assuming pi is rounded off to 3.14, it is 219.8 feet; if not it is 70π feet

Circumference=one revoloution

Circumference=Diameter times pi

C=Dπ

C=3.14*70

=219.8

219.8 feet

Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal, and as a
percent.
You choose a marble at random from a bag containing 12 red, 12 blue, 13 green, 5 yellow, and 18 black
marbles.
The marble is red.
The probability expressed as a fraction is
The probability expressed as a decimal is
The probability expressed as a percent is
%.

Answers

Answer:
1/5
0.2
20%

Please mark brainliest!

Work out 7/9×18/63 Give your answer in its simplest form.

Answers

Answer:

2/9

Step-by-step explanation:

7/9×18/63

Rewriting

7/63  * 18/9

1/9 * 2/1

2/9

[tex]\longrightarrow{\green{ \frac{2}{9}}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

✒[tex] \: \frac{7}{9 } \times \frac{18}{63} [/tex]

✒[tex] \: \frac{2}{9} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

help me please it’s timed !!!

Answers

ANSWER:

AD is C. 5.42

While

AB is A. 5

Welcome :)

Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)... a. Bar graph b. Time plot c. Histogram d. Box plot

Answers

Answer:

Time plot

Step-by-step explanation:

The data from which a plot or graph is to be generated will have only one variable, which is the rain acidity, that is acidity level of Rainfall over a certain period. However, the data gbwre is time dependent, hence, it is a time series plot. Hence, this is a two dimensional univariate plot, with the acidity label of Rainfall on one axis and time on the other. Therefore, the graph which is best to display such information is the time series plot.

Darla decides to buy books and magazines with her money. Books cost $16 each and magazines cost $8 each. Write a function that shows the function of the total money that she spends.

Answers

Answer:

m=16x+8y

Step-by-step explanation:

let the amount of money she spend be 'm'

m=16x+8y

Answer:

a=16x+8y

Step-by-step explanation:

Let the amt of money she spends be a.

hope it helps!!!

Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function

f (x)=6x+8

f(x+h)-f (x)/h =

Answers

See56.7 cause it is the correct one to the 20th

The expression w^4 - 36 is equivalent to

Answers

Answer:

(w² + 6)(w² - 6)

Step-by-step explanation:

difference of squares

w⁴ - 36 = (w² + 6)(w² - 6)

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
O f(x)= x2 – 3x-+3-17
O f(x)= 4x² -1245x+3/7
O f(x)=x2 – 3x? – X+21
O x) = 4x° - 12x - 28x+84

Answers

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

[tex]x^2-3x-7x+21[/tex] which simplifies to

[tex]x^2-10x+21[/tex] and we distribute in the 4:

[tex]4(x^2-10x+21)[/tex] to get

[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.

Triangle Q R S is cut by line segment V W. Point V is the midpoint of side Q S and point W is the midpoint of side R S. The length of Q R is 3 a + 6, the length of V W is 2 a minus 2, and the length of V S is 2 a.
If V is the midpoint of Line segment Q S and W is the midpoint of Line segment R S, then what is VS?

4 units
8 units
10 units
20 units

Answers

Answer:

20 units

Step-by-step explanation:

We can see that triangle QRS and triangle VWS are similar triangles.

Similar triangles are triangles in which the ratio of their corresponding sides are in the same proportion.

V is the midpoint of QS.

VS = 2a, QS = 2 * VS = 2(2a) = 4a

Since both triangles are similar triangles, hence:

\begin{gathered}\frac{VS}{QS}=\frac{VW}{QR}\\\\\frac{2a}{4a} =\frac{2a-2}{3a+6} \\\\\frac{2a-2}{3a+6} =\frac{1}{2} \\\\2(2a-2)=3a+6\\\\4a-4=3a+6\\\\a=10\ units\\\\VS=2a=2(10)=20\ units\end{gathered}

QS

VS

=

QR

VW

4a

2a

=

3a+6

2a−2

3a+6

2a−2

=

2

1

2(2a−2)=3a+6

4a−4=3a+6

a=10 units

VS=2a=2(10)=20 units

ur wlcm♥️♥️

Answer:

20 UNITS

Step-by-step explanation:

EDG 2020

PLEASE HELP ME WILL GIVE BRAINLIEST

Answers

Answer:

Reason 5

Step-by-step explanation:

Reason 1 and 2 are Given

Reason 3 is Reflexive

Reason 4 is Side-Side-Side congruency

Answer:

Reason 5

Step-by-step explanation:

It helps to know what CPCTC means and how it's used.

CPCTC means "corresponding parts of congruent triangles are congruent."

To use it, you must first either prove two triangles to be congruent or be given that two triangles are congruent.

Once you have the congruent triangles, then you state that two corresponding parts of those triangles are congruent, and you use CPCTC as the reason.

In step 4, the triangles are proven congruent by SSS.

Then CPCTC can be used as reason 5 for stating that the corresponding angles A and C are congruent.

The table shows the displacement-time data for a ship relative to a shore.
t(hours) 2.95 3.15 3.75 3.95 3.99 4.00
s(0 (miles) 14.95 17.61 27.23 31.01 31.80 32.00
Estimate the instantaneous velocity of the ship at t = 4 hours.
A.
20.00 mi./h.
B.
20.15 mi./h.
C.
20.25 mi./h.
OD.
20.50 mi./h.

Answers

Answer:

Step-by-step explanation:

Interpret the 95% confidence interval for average BMI. What do the lower and upper bounds of the confidence interval tell us?

Answers

Answer:

(26.2252 ; 27.3748)

Step-by-step explanation:

The confidence interval is given by :

x ± Margin of error

The margin of error = Zcritical * (σ/√(n))

σ = 7.5 ; n = 654

Zcritical = Zα/2 = 1.96

The margin of error = 1.96 * (7.5/√654) = 0.5748

The confidence interval :

Upper boundary = 26.8 + 0.5748 = 27.3748

Lower boundary = 26.8 - 0.5748 = 26.2252

(26.2252 ; 27.3748)

We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)


Olivia can bake 95 cookies in 5 hours. At this rate, how many cookies can she bake
in 11 hours?

Answers

209 I’m pretty sure…………………………………..

Answer:

Olivia will make 209 cookies on 11 hours

Step-by-step explanation:

if she makes 95 per 5 hours

we can make

5 + 5 = 10

this is the same as doing

95 + 95 = 190

now, for the 1 hour

95 : 5 = 19

now to verify it

19 x 5 = 95

now you make

95 + 95 + 15 = 209

Oops, srry my bad, i fixed the thing i did wrong

what is the width of a triangle that has a 15 cm height and hypotenuse of 19 cm​

Answers

Answer:

Pythagorean Theorem

Question Answer

Find the width of a triangle that has a 15cm height and a hypotenuse of 19cm. 11.7cm

A helicopter rises straight up 300m then flies west 400m. How far is it from the beginning (if it travels in a straight line back)?

A company needs to hire a new director of advertising. It has decided to try to hire person A or B, who are assistant advertising directors for its major competitor. To decide between A or B, the company finds that A is in charge of 2/3 of the total accounts while Peron B is in charge of only 1/3 of the accounts. Also, A’s campaigns have satisfactory results 3 out of 4 times, while B’s campaigns has satisfactory results only 2 out of 5 times. Suppose one of the competitors ad campaigns is selected randomly
a) Draw the tree diagram of the info above
b) Find the probability that A is in charge of the selected campaign and that is produces satisfactory results
c) Find the probability that the selected campaign is satisfactory

Answers

Answer:

b) 0.5

c) 0.633

Step-by-step explanation:

a) Please find the attached image - tree diagram

b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results  = 2/3 * 3/4 = 1/2 = 0.5

c) P (selected campaign is satisfactory)

         = P(A's campaign and satisfactory) + P(B's campaign and satisfactory)

         = 2/3*3/4 + 1/3*2/5

         = 0.6333

Jason leaves Detroit at 4:00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at 4:40 PM. (a) Express the distance d traveled in terms of the time t (in hours) elapsed. d(t)

Answers

4:48 minus 4:00 = 48 min
Time in hours is +48%2F60+=+4%2F5++ hrs
+40+=+r%2A%284%2F5+%29+
+r+=+%285%2F4%29%2A40+
+r+=+50+ mi/hr
+40+=+50%2A%284%2F5%29+

Which of the following is not an example of a parent function?
y=x
y=2x^3
y=1/2
y=2^x

Answers

9514 1404 393

Answer:

  (b)  y=2x^3

Step-by-step explanation:

The function y=2x^3 is an example of the parent function y=x^3 being vertically scaled by a factor of 2. As such, it is not the parent function.

_____

Additional comment

A parent function is one that has not been translated or scaled in any way. One could argue that the parent function of the form y=constant is y=1, so that the function y=1/2 has been scaled by a factor of 1/2. In this problem, we recognize the parent function y=x^3 has clearly been scaled to get y=2x^3, so the latter is not an example of a parent function.

If this is a "check all that apply" question, then y=1/2 is another reasonable answer.

Answer:(b)  y=2x^3

Step-by-step explanation:

Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)
f(x) = 8|x − 6|
f(−2) =

f(0) =

f (1/2)=

f(2) =

f(x + 1) =

f(x2 + 7) =

Answers

Step-by-step explanation:

my answer is in the image above

A cosmetics salesman earns a basic wage of $2000 per month plus 10% commission on all sales he makes. Calculate his total wage for the month when he sold $89,000 worth of cosmetics.

Answers

bsbdhhdjdjdhdjjrjdhdndhnrjf

Q2 find the degree of the polynomial
x4(4x+1)​

Answers

Step-by-step explanation:

x⁴(4x+1)

4x⁵+x⁴

degree is 5

Pls I’ve been stuck on this

Answers

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

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