The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)

Answer:

3

Step-by-step explanation:

f(x) = 2x-5      put in 4 for x

f(4) = 2(4) - 5   = 3

Answer:

X=15

Step-by-step explanation:

First add 7 to the 3(numerator)=10. Since anything equivalent to half is half of the denominator, the denominator needs to be 20. 20-5=15. So, X=15

Answer:

Step-by-step explanation: X=15

Answer:

389

Step-by-step explanation:

20 - 11 = 9

29 - 20 = 9

This is a geometric sequence with a common difference of 9.

a_1 = 11

a_2 = 11 + 9

a_3 = 11 + 2 × 9

...

a_n = 11 + (n - 1) × 9

a_43 = 11 + (43 - 1) × 9

a_43 = 11 + 42 × 9

a_43 = 389

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

What is the sequence?

A  sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is [tex]11, 20, 29, ...[/tex]

Here,

[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]

The general formula is

[tex]a_n=a+(n-1)d[/tex]

where,

[tex]a_n[/tex] is the [tex]n[/tex]th term

[tex]a[/tex] is the first term

[tex]n[/tex] is the number of terms

[tex]d[/tex] is the common difference

Substituting the values in the general formula

[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

To know more about the sequence

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Answer:

A. <

B. =

C. >

D. <

Step-by-step explanation:

Answer:

a. 3.07 < 3.7

b. 12.3 = 12.30

c.0.7 > 0.65

d. 1.82 < 1.89

Step-by-step explanation:

a. By looking at the tenths place, you can see that 3.07 is less than 3.7.

b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.

c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.

d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.

Answer:

6. $62.74 7.$331

Step-by-step explanation:

6. The original cost= $119.5

After 30% of discount = (70/100)× 119.5

= $83.65

After 25% discount = (75/100)× 83.65

= $62.74

7. Original cost= 679

Price after 35% discount = (65/100)×679=$441.35

Price after 25% discount = (75/100)× 441.35

=$331

So the final price will be = $331

Answer:

A) 4mn

Step-by-step explanation:

2m × 2n = 4mn

I hope this helps!

Answer:

14 : 24

Step-by-step explanation:

If 10 of the 24 pupils are female, then that means the other 14 is male. Therefore, the ratio of males : total would be 14 : 24.

I hope this helps! Have a lovely day!! :)

(brainliest is much appreciated!!)

Answer:

14:24

Step-by-step explanation:

24 pupils = total

24 total - 10 females = 14 males

The ratio is

males : total

14 males : 24 people total

the simplified ratio is

7 males : 12 people

Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at https://brainly.com/question/24855677

Answer:

13.4 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

12^2 + b^2 = 18^2

144 + b^2 = 324

Now we subtract!!

324 - 144 = b^2

180 = b^2

Now we need to find the square root!!

[tex]\sqrt{180}[/tex] = 13.4

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

I think the answer is 792

Answer:

SA = 696cm^2

Step-by-step explanation:

First we need to identify the shapes

There are 3 rectangles and 2 triangles

Now the individual surface area for each shape

20 x 10 = 200 (1 rectangle)

1/2(12 x 8) = 48 (1 triangle)

Now we add them together

(200 x 3) + (48 x 2) = 696

Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

(x+2)² + (y+6)² = 64

Given:

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

Formula's:

===========

equation:

Answer:

47

Step-by-step explanation:

6n + 5y + 4z

substitute the variables

6(4) + 5(3) + 4(2)

6 x 4 = 24

5 x 3 = 15

4 x 2 = 8

24 + 15 + 8

= 47

Answer:

Below.

Step-by-step explanation:

The graph shown is f(x).

3. The graph 3  is the same shaped graph as drawn but moved 3 units to the left.

4. The graph 4  is the same shaped graph as drawn but moved 5 units to the right.

Hope this helps.

Answer:

Step-by-step explanation:

The required area is between 9+3 = 12 feet and 9 feet radius circles.

Find the area:

The atmospheric layer responsible for weather is the troposphere.

Answer:

the cost of labor per hour is $55

Step-by-step explanation:

Let C = cost of labor per hour

Let h = hours worked

Let p = cost of parts

Let t = total price

[tex]c = \frac{t - p }{h} \\\\c = \frac{309.50 - 62}{4.5} \\\\c = \frac{247.50}{4.5} \\\\c = 55[/tex]

Answer:

2,3,4,5

Step-by-step explanation:

The ones you selected are all correct.

Hope this helps.

Parallel lines were coplanar endless straight lines in geometry that never intersect. Therefore, all the options are correct.

Parallel lines were coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Euclid's parallel postulate deals with parallel lines. Euclidean geometry is just a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries. Lines can have similar characteristics known as parallelism in various other geometries, including such hyperbolic geometry.

∠2≅∠8 ( alternate interior angle)

∠1≅∠8 (vertical angle)

∠1≅∠5 (corresponding angle)

∠2≅∠5 (consecutive interior angle)

∠4≅∠6 (exterior angle)

Therefore, all the options are correct.

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Answer:

27

Step-by-step explanation:

a+b=7; a-b=3

Add the two equations together

a+b=7

a-b=3

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

2a + 0b = 10

2a = 10

Divide by 2

2a/2 = 10/2

a = 5

a+b = 7

5+b = 7

b = 7-5

b = 2

3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27

Answer:

a

when you round the number up it becomes 300,000.00

Answer:

3(x + 8) = 6

Step-by-step explanation:

let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is

3(x + 8) = 6 ( divide both sides by 3 )

x + 8 = 2 ( subtract 8 from both sides )

x = - 6

the number x is - 6

Answer:

the fourth graph, bottom left, is the correct one

Step-by-step explanation:

the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.

I hope this helps! :)

Answer:

0.444

Step-by-step explanation:

im a bit confused with the anwser choices, so just pick which ever one contains states 0.444 as it's answer choice.

hope this helps :)

Answer:

0.444

Step-by-step explanation:

1.) A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator.

2.) Now let's divide 111.000000... by 250. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. [tex]111/250 = .444[/tex]. Since the remainder is 000, this is a terminating decimal.

3.) The terminating decimal is [tex]\frac{111}{250} = 0.444.[/tex]

50 total students

Explanation:

total students: 100%

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

number of girls: