If Dwight Johnson has 7 courses to choose​ from, how many ways can he arrange his schedule if he must pick 4 of​ them?

Answers

Answer 1

Answer:

35 ways

Step-by-step explanation:

[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]

Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.


Related Questions

It took the computer 120 days to break the code. How many
hours did it take?

Answers

Hi Student!

Looking at the question we can see that we are given a number which is 120 days.  The question is asking for us to convert the amount of days it took to break the code into hours.  We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day.  The days would cancel and that would result us with just hours left.

[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]

[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]

[tex]\frac{2880\ hours}{1}[/tex]

[tex]2880\ hours[/tex]

Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.

Х
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.

Answers

====================================

[tex]\large \sf \underline{Problem:}[/tex]

The weight of the rectangle is 80 grams.

The weight of the triangle is double the weight of the

circle.

Determine the weight of the circle.

====================================

[tex]\large \sf \underline{Answer:}[/tex]

Rectangle has four sides. The total weight of the circle is 20 grams.

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

What is a rectangle?

A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.

As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,

[tex]Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams[/tex]

It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,

[tex]Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle

[/tex]

[tex]Weight \: of \: the \: circle = 20 grams[/tex]

Hence, the total weight of the circle is 20 grams.

Learn more about Rectangle:

https://brainly.com/question/994316

====================================

Hence the weight of the circle is 20 grams.

Answer:

Solution Given:

Weight of rectangle =80grams

we know that

twice the weight of triangle =weight of rectangle

2*weight of triangle =80 grams

weight of the triangle = 80/2=40 grams

again

The weight of the triangle is double the weight of the

circle.

weight of the circle=½*weight of triangle

=½*40=20grams

Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00.She budgets $25.50 per month for her total cell phone expenses without taxes.
What's the maximum number of minutes Paige could use her phone each month and still stay within her budget?
A. 675
B.425
C. 250
D.175

Answers

The answer is 175 explanation: 25.50 -15 =10.5 divided by 0.06 = 175
D. Is the correct answer because minus the 15 from the 25.50 you get how much is left then decide that by 0.06 and you get the answer x

Which solution set is graft on the number line

Answers

Answer:

x < 1

Step-by-step explanation:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x <  1 (thats a less then sign only) ....no equal sign in there

Answer:

x < 1

Step-by-step explanation:

Open circle:  < or >

Closed circle:  ≤ or ≥

Shading to the left: < or ≤

Shading to the right: > or ≥

Therefore, as there is an open circle and shading to the left:

x < 1

(x is smaller than 1)

I need help with this math question please!

Answers

Answer:

x < 0

( x is less than 0 )

Explaination:

That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).

If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)

The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.

A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.

Hope this helps out! :D

please help. Trying to find the missing measure. Explanations needed

Answers

Answer:

l=5.1in

r=2.4in

Step-by-step explanation:

size increase of 50% so just add (+50%) to both existing values

1. Find the vertex, (x, y) x-value is the number inside the brackets, but take the opposite of its; y-value number outside at the back of the bracket: (4,8)​

Answers

Answer:

9y(c=7) witch means the answer is 8,6

Step-by-step explanation:

I took it and got 5 out of 5 right ✅

FIND BA Just Need the answer tbh

Answers

Step-by-step explanation:

some might be wrong..if u can..try to cross check it..


Estimate the weight of the chips in the bag.

Answers

Answer:

Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2

Step-by-step explanation:

um just round

P.S. Iready sucks

Answer:

Kale ; 1(oz)

Carrots; 4(oz)

Sweet Potatoes; 4(oz)

Beets; 2(oz)

Step-by-step explanation:

When rounding anything that is equal to or greater than 5 rounds up, anything that is less than 5 rounds down.

Round to the nearest whole ounceVegetable        |     Weight(oz)

       Kale              \          1.35                ⇒    1(oz)

    Carrots            \         3.50                ⇒   4(oz)

Sweet potatoes   \         3.81                ⇒   4(oz)

      Beets              \        2.29                ⇒   2(oz)

Find the volume of each figure. Round you
137cm
5 cm
B) 350 cm³
D) 116.67 cm³
10 cm
A) 88.74 cm³
C) 148.29 cm³
Please help ASAP!!

Answers

Answer:

e

Step-by-step explanation:

e

#89 will give brainliest for best answer!​

Answers

Answer:

Median: 11

Range: 12

25th Percentile: 9

75th Percentile: 14

Interquartile Range: 5

Step-by-step explanation:

The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.

Hope this helps! :)


What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters

Answers

Answer:

15cm

Step-by-step explanation:

150 meters are too long since 1 meter is about one big step.

15 meters would also be too long.

150 centimeters is the same as 1.5 meters, which is also too long.

A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapling is

48

inches tall. The student finds that the tree sapling grows an average of

3

inches per month.


Which expression represents the height of the tree sapling after

x

months?
pls hurry, i need help asap

Answers

Answer:  3x+48

Reason:

The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.

Let's say x = 5 months have elapsed as an example.

The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.

When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)

Answers

Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.

What is the definition of probability?

It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.

Given data;

Total outcomes rolling a pair of dice =6×6=36

Probability obtaining the total of 12 is;

P(A) = 1/36

P(A) = 1/36

P(A) = 1/36

Probability of obtaining the total is less than 5:

P(B)=6/36

the probability of rolling the sum of 12 OR less than 5 is calculated as;

P(sum of 12 OR 5) = 1/36 + 6/36

P= 7/36

Hence,the probability P (sum of 12 OR 5) is 7/36.

To learn more about the probability, refer to the link;

https://brainly.com/question/795909

#SPJ1

Write an equation of the graph

A. y = 1/2x + 5

B. y - 3 = 1/2 (x + 1)

C. y + 3 = -1/2 (x - 1)

D. y - 3 = -1/2 (x + 1)

Answers

Answer:

It's A

Step-by-step explanation:

y/x

it's starting point is 5 and it goes up 1 and over 2

1 is on the y-axis and 2 is on the x-axis and it is y over x so the answer is 1/2x+5

NOTE:I MAY NOT BE ACCURATE BUT IM PROBABLY IT COULD BE WRONG BUT IF U REALLY ARE STUCK ON A QUESTION THEN CHOOSE A

how to do a reflection on the line y=-x

Answers

change (x,y) -> (-y,-x)

pls help asap The scatter diagram shows the grades and number of missing assignments for students in a grade 8 math class

Answers

Don’t use this

Answer A

can someone help me with this problem? Thank you!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Since, the Area of smaller rectangle is 35,

width = 5 ft

Let's calculate it's length ~

[tex]\qquad \sf  \dashrightarrow \:a = l \cdot w[/tex]

[tex]\qquad \sf  \dashrightarrow \:35 = l \cdot5[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 35 \div 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 7 \: ft[/tex]

And the two rectangles are similar ~ so the ratio of their sides are equal as well ~

Assume length of greater rectangle be x

[tex]\qquad \sf  \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \times 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 35[/tex]

Now, since the length and width of the greater rectangle is known, let's find it's Area ~

[tex]\qquad \sf  \dashrightarrow \:a = l \cdot w[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 35 \sdot25[/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]

So, Area of the greater rectangle is 875 ft²

Find the volume of the composite solid. Round your answer to the nearest hundredth.
3 cm
3 cm
10 cm
The volume is about cubic centimeters.

Answers

Answer: see my work

Step-by-step explanation:

volume is lwh

volume is 3*3*10

volume is 9*10

volume is cubic cm

volume is 90

volume is 90 cubic cm

Answer:

90cm^2

Step-by-step explanation:

3x3=9

9x10=90

John paid $34 for two algebra and three geometry books. he paid $36 for three algebra and two geometry

Answers

Answer:

Each geometry book costs $6, each algebra book costs $8.

Let a=cost of one algebra book and g=cost of one geometry book. We have:

2a + 3g = 34-------->6a + 9g = 102

3a + 2g = 36-------->6a + 4g = 72

-------------------

5g = 30

g = 6

2a + 3(6) = 34

2a + 18 = 34

2a = 16--->a = 8

Question: John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?

Answer: The cost of each algebra book is $8 and the cost of each geometry book is $6.

Step-by-step explanation:

a= algebra book cost

g= geometry book cost

Here's what we know:

2a + 3g = 34 (the 2 alg and 3 geo comes to $34)

3a + 2g = 36 (the 3 alg and 2 geo comes to $36)

This is a classic elimination method problem. I suggest that we multiply the first equation by -2 and the second by 3. This way, we can eliminate the variable g and still keep the other parts of the problem in the positive range:

-4a - 6g = -68

9a + 6g = 108

-------------------

5a = 40

Divide by 5:

a = 8

Now to solve for g:

2 * 8 + 3g = 34

16 + 3g = 34

3g = 18

g = 6

check (by using the second equation):

3 * 8 + 2 * 6 = 36

24 + 12 = 36

Solve for the value of x -
[tex]5(4x-4)=-60[/tex]
Thanks! ^^​

Answers

Answer:

x = -2

Step-by-step explanation:

[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]

hope this helped!!

Answer:

x = -2

Step-by-step explanation:

Divide both sides by 5 :

5/5 (4x - 4) = -60/54x - 4 = -12

Add 4 to both sides :

4x - 4 + 4 = -12 + 44x = -8

Divide both sides by 4 :

4x/4 = -8/4x = -2

find the area of parallelogram whose height is 6 cm and base 5 cm

Answers

Answer:30cm^2Step-by-step explanation:

A parallelogram is a type of quadrilateral(four sides polygon) that has both the pair of opposite sides parallel and equal.

Area of a parallelogram = height× base

from the question,

height= 6cm

base= 5cm

area= 6×5= 30cm^2

Which chip design has a greater probability of selection than what the actual results show after the 10 draws?
stripe
dot
star
heart

Answers

Answer:

the stripe chip design has

the greatest probability of selection

Step-by-step explanation:

p(draw a dot chip) = 1/10

p(draw a star chip) = 2/10

p(draw a heart chip) = 3/10

p(draw a stripe chip) = 4/10

4/10 > 3/10 > 2/10 > 1/10

Therefore , the stripe chip design has

the greatest probability of selection.

I was confused on how to write the quadratic in standard form

Answers

[tex]\\~~~~~3x^2 +4x +7 = -1\\\\\implies 3x^2 +4x +7 +1 = 0\\\\\implies 3x^2 +4x +8 = 0\\\\\text{It is now in the standard form of quadratic equation}~( ax^2 +bx +c = 0)\\[/tex]

On a piece of paper graph f(x) = 3x if x<3 2x if x>3 then determine which answer choice matches the graph you drew​

Answers

It's a combine function (Alike signum function)

Which is given by

[tex]\\ \rm\Rrightarrow f(x)=\begin{cases}\sf 3x,x<3\\ \sf 2x,x>3\end{cases}[/tex]

Find some points

(0,0)(1,3)(4,8)(2,6)

Graph attached

Red line is 2x and blue one is 3x

Give a full description of how you solve it and I'll give the brainiest. Solve both, please.

Answers

#1) any number, variable etc. to the 0 power will always be 1 so x to the 0 power is 1. add the y values on both sides so y to the the 7 power and y to the 3 power should be added 7+3 = 10 so it would now be y to the 10th power. for the 9 it would be multiplied by the number on the other side and there is no number standing on its own we would multiply it by 1. the final answer would be 9y^10

#2) let’s start off with the numbers. multiply 10•7•8 to get 560. then we will add all the U powers so that would be 7+9 = 16 making it u^16. lastly we should add all the v powers so it would 3+8+4 = 15 so ur final answer would be 560u^16v^15.

Amaya travels from her home to Stoke
the distance from her home to stoke is 150 miles she travels at an average speed of 50 miles per hour
she stops for 20 minutes on the journey
amaya arrives in stoke at 11:15am
what time did she leave home?

Answers

Answer:

She left at 7:55

Step-by-step explanation:

She travels 150 miles at 50 miles an hour, it takes her 3 hours to get to stoke but she stopped for 20 minutes. Subtract 20 minutes from 11:15, and you get 10:55, then subtract 3 hours. You get 7:55. This means she left the house at 7:55.

The picture is the question

Answers

Answer:

exponential

Step-by-step explanation:

The function follows the rule :

y = 3ˣAs y varies directly to the power of the exponent, this function is exponential

Let's check

Common ratio

3/1=39/3=3

Its a geometric sequence

Hence exponential

-please help im so dum dum and id like therapy < <<<<<<<<33333333 TYY
-20 -8 + (-12)

Answers

Answer:

Step-by-step explanation:

-40

−20−8-12

−28−12

-40

Graph the inequality.
-1

Answers

Answer:

                       

Step-by-step explanation:

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