in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science.
A)How many students were majoring in math only?
B)How many students were not majoring in computer science?
C) how many students were not math or computer science majors?

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

Answer:

100 degrees

Step-by-step explanation:

The measure of angle T is 100 degrees.

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{4}{6}[/tex]

[tex]\text{Probability}=\dfrac{2}{3}[/tex]

In decimal form, it can be written as:

[tex]\text{Probability}\approx 0.67[/tex]

In percentage form, it can be written as:

[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]

[tex]\text{Probability}\approx 66.67%[/tex]

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.

Answer:

r≈3.55%

Step-by-step explanation:

Answer:

(1/2,4)

Step-by-step explanation:

because that is where the line crosses each other

the x is 1/2

the y is 4

Answer:

c = 29

Step-by-step explanation:

Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio

Sin(41) = [tex]\frac{19}{c}[/tex]

=> To isolate the c all by itself first multiply c on both sides of "="

Sin(41) * c = 19

=> Now divide each side by Sin(41)

c = [tex]\frac{19}{Sin(41)}[/tex]

c = 28.96 or 29

Hope this helps!

Answer:

what area do u need, l think it's 5 in 19

Step-by-step explanation:

see the photo for explanation

Answer:

We are finding hypotenuse

3^2 + 2.5^2

9 + 6.25 = 15.25

3.9^2 = 15.21 close enough.

3.9 would be your answer.

When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.

Answer:

The present age of the mother is 40 years

Step-by-step explanation:

Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then

M = 2.5D

Given that Four years ago the ratio of their ages was 3:1

The mother's age 4 years ago was

= M - 4

and that of the daughter then was

= D - 4

Hence

(M - 4)/(D - 4) = 3/1

Cross multiply

M - 4 = 3(D - 4)

M - 4  = 3D - 12

M = 3D - 12 + 4

M = 3D - 8

Substitute into the first equation

3D - 8 = 2.5D

3D -2.5D = 8

0.5D = 8

D = 8/0.5

= 16 Years

M = 2.5D

M = 2.5 * 16

= 40 Years

Answer:

7 1/2 divided by 3/4 is 10

Step-by-step explanation:

10

Brainiest please and thank you

Answer:

84 seconds

Step-by-step explanation:

7    12

14    24

21    36

28     48

35     60

42     72

49    84

56

63

70

78

84

Answer:

-4.5

Step-by-step explanation:

so i personally think that the answer is -4.5.

my reason is that since point A is -7.7, and point C is 0, it has to be close to point A. since a negative that has a smaller number (ex: -3 > -8) is worth more than a negative with a bigger number, the answer can't be -9.2 or -8. now we're left with -4.5 and -1.3. Since -1.3 would be a closer point to 0, and B is pretty far from C, -4.5 is the most reasonable answer.

hope this helps !

Step-by-step explanation:

most likely be drawn: blue

pulling orange: 3/10

pulling red: 2/10 or 1/5

pulling purple: 1/10

pulling white: 0

Answer:

See explanation.

Step-by-step explanation:

An expression is a set of terms that are combined using addition, subtraction, multiplication, or division. The following are examples of expressions:

[tex]2x-1[/tex]

[tex]5y+8[/tex]

[tex]2[/tex]

Note: expressions do not equal anything.

In contrast, equations are expressions that equal at least one term. The following are examples of equations:

[tex]2y-4=26[/tex]

[tex]4x-4=0[/tex]

[tex]x=10[/tex]

[tex]y=x+2[/tex]

Note: equations do equal a term, as shown in the examples.

Answer:

508.68

*sorry if this is late

Step-by-step explanation:

Divide 36 by 2 to get radius

Multiply 18 by itself to get 324

Multiply 324 by 3.14 to get the area of a circle

Divide it by 2 to get the area of the semi circle

Answer:

I think is b

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

Answer:

A. 11/12 cup

Step-by-step explanation:

3 1/4 = 2 5/4

2 5/4-2 1/3 = 5/4-1/3

5/4-1/3 = 11/12

Answer:

2/9 is less than 1/3

Step-by-step explanation:

2/9= 0.222

1/3=0.333

Answer:

19.4 m³

Step-by-step explanation:

V=[tex]\frac{4}{3} \pi r^{3}[/tex]

radius-2.1

plug in:[tex]\frac{4}{3} (2.1)^{3}[/tex] =38.7923860865

[tex]\frac{38.7923860865}{2}[/tex] =19.3961930433

=19.4²

Answer:

1.5secs

Step-by-step explanation:

Given the expression that models  the height as;

h(t) = -16t²+20t +6

The ball will touch the ground at when h(t) = 0

0 =  -16t²+20t +6

Swap

-16t²+20t +6 = 0

Divide through by -2

8t²-10t-3 = 0

Expand using the general formula

t = -(-10)±√(-10)²-4(8)(-3)/2(8)

t = 10±√100+96/16

t = 10±√196/16

t = 10±14/16

t = 10+14/16

t = 24/16

t = 1.5

Hence it will take the ball 1.5secs to hit the ground

Answer:

opposite - hypotenuse

Answer:

a. 192 b.60 c. 184, 164, 350

Step-by-step explanation:

a.Total of males=88+104

b.Female, Anaerobic=156-96

c. aerobic= 88+96=184

anaerobic=104+60

total=192+158

Answer: A.

Step-by-step explanation:

Answer:

A (10,985)

Step-by-step explanation:

y= 1,350(1+0.15)^15

1,350 is the student =a

0.15 which originally was 15% is the rate. =r

^15 is the time because 1995 to 2010 took 15 years. =t

The equation I use for this question:

y=a(1+r)^t  a.k.a Exponential growth formula

Answer:

Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.

If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.

The number of permutations of n objects taken r at a time is determined by the following formula:

P(n,r)=n!(n−r)!

Example

A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:

P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040

In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:

C(n,r)=n!(n−r)!r!

Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?

Step-by-step explanation:

1(Identifying):

Tomatoes-x--$3 per lb

Mushrooms- 1/3 x-- $10 per lb

Peaches- x+1-- $6 per lb

2(Equation):

3x+6(x+1)+1/3x*10=80

3x+6x+6+10/3 x=80

12 1/3 x= 74

x=74÷(12+1/3)

Step 3(Final Equations):

74*3/37=6=tomatoes

Meaning...

6+1=7=Peaches

6/3=2= mushrooms

Answer:

7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms

Answer:

7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms

Step-by-step explanation:

Answer:

58.1 (not rounded)

Step-by-step explanation:

You add all sides given to you to get the SA of the prism.