2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.

Answer:

Step-by-step explanation:

Discussion

This is a proportion question. A proportion is 2 ratios separated by an equal sign.

If you know three of the components you can solve for the fourth.

Givens

28.1 % are females

42000 are female doctors.

100% is what is required.

Equation

28.1% / 100% = 42000 / x                  Cross Multiply

28.1 * x = 42000 * 100                        Combine

28.1 * x = 4200000                             Divide by 28.1

28.1/28.1 x = 4200000/28.1

x  = 149466 is the total doctors

Answer

149366 is the total number of doctors.

Answer:

[tex]2.75[/tex]

Step-by-step explanation:

Step 1:  Determine the median

[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]

The median of a set is the middle of the set.  In this instance, we have 6 numbers so we don't have a number directly in the set representing the median.  Instead, we need to find the average or middle between the 3rd and 4th number.  So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.

Answer:  [tex]2.75[/tex]

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is

f(x)=-4x³+x²-6x+8

The option given as,

From the given expression, if we take out x from the first three terms, it looks like option 2.

f(x)=-4x³+x²-6x+8

f(x)=x(-4x²+x-6)+8

From the given expression, if the last three terms factored, it looks like option 3.

f(x)=-4x³+x²-6x+8

f(x)=-4x³+x^2-4x-2x+8

f(x)=-4x³+x(x-4)-2(x-4)

f(x)=-4x³+(x-4)(x-2)

Rearrange the given expression, and make it looks like option 4.

f(x)=-4x³+x²-6x+8

f(x)=-4x²+8+x²-6x

f(x)=-4(x³-2)+x(x-6)

Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Learn more about the equivalent expression here;

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El oh Elllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Answer:

−x^2+10x−21

Step-by-step explanation:

Hope this helped you! If this is wrong, please tell me and have a good day!

Answer:

v=2143.57

Step-by-step explanation:

4/3 x 3.14 x 8³

3.14 x 512 x 4/3

3.14 x 512=1607.68

1607.68 x 4/3=2143.57333333

round to nearest hundreth

v=2143.57

Answer:

V ≈ 2143.57= 2144

Step-by-step explanation:

[tex]v=\frac{4}{3} *3.14*8^3[/tex]

=2143.57333333

you dont need to round, so!

=2144 (if you want)

sorry for the confusion

Answer:

brainly please

Step-by-step explanation:

yes because 5 is less than 8

Answer:

No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)

Answer:

D. Coal.

Step-by-step explanation:

Doesn’t really affect the earth in any way.

Answer:

[tex]D.\:\:\:\:\:\sec^4\theta[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

D

Step-by-step explanation:

using the identities

1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then

[tex]\frac{1+tan^20}{cos^20}[/tex]

= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]

= sec²Θ × sec²Θ

= [tex]sec^{4}[/tex]Θ

Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5

Answer:

like a 85 hop this helps I'm so sorry have a good day stay safe

Answer:

your grade will be 166%.

Step-by-step explanation:

First I subtract 86-50=36.

second I add 100+30=130.

total is 130+36=166%

Apply Pythagorean theorem

Answer:

Angles around a point sum to 360°

⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°

⇒ ∠SPT + ∠TPU = 60°

Therefore:

∠SPQ clockwise = ∠SPT + ∠TPU + 86°

                            = 60° + 86°

                            = 146°

∠SPQ anticlockwise = 60° + 154°

                                  = 214°

Answer:

See below ~

Step-by-step explanation:

The total internal measure is 360°.

Finding ∠SPQ (clockwise):

Finding ∠SPQ (counterclockwise) :

Answer:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Step-by-step explanation:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Answer:

Tan(51.06) = 1.24 so the correct answer is A

Step-by-step explanation:

Sin0 = 7/9

0 =Arcsin(7/9)

0 =51.06

So,

Tan(51.06) = 1.24 so the correct answer is A

Answer:

A. [tex]\frac{7\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Finding the missing side :

7² + x² = 9²

x² + 49 = 81

x² = 32

x = 4√2

Taking the tan value :

tanθ = 7/(4√2)

tanθ = 7(4√2)/4√2(4√2)

tanθ = 28√2/32

tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]

Answer:

Step-by-step explanation:

Problem a

a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.  

The top angle = x

x + 70.5 + 70.5 = 180      All triangles have 180 degrees.

x + 141 = 180                    Subtract 141 from both sides

x + 141-141 =180 - 141       Combine

x = 39

c + 39 + 87.2 =180           Combine the left

c + 126.2 = 180                 Subtract 126.2 from both sides

c+126.2-126.2 = 180-126.2

c = 53.45

Answer: 53.45

Problem B

Comment

Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.

Supplement of 115.6

Call the supplement = y

y + 115.6 = 180                         Supplementary angles = 180 degrees

y +115.6-115.6 = 180 - 115.6     Combine

y = 64.2

Now we need the supplement of 99.9

Call the supplement = z

z + 99.9 = 180                           Supplementary angles = 180

z+99.9-99.9 = 180-99.9

z = 80.1

Now subtract y + z from 180

180 - 64.2 - 80.1 = x

x = 35.7

x is opposite d

d = x

d = 35.7 degrees.

Answer

d = 35.7

Answer:

Step-by-step explanation:

Let the number of 1-point shots is x and 2-points shots is y.

The system as per question is

Solve it by elimination, subtract the first equation from the second

Find the value of x

Answer:

36 different combinations

The 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's assume the exponential growth is:

[tex]\rm y = Ae^{rt}[/tex]

From the problem:

[tex]\rm 130 = 20e^{5r}[/tex]

[tex]\rm e^{5r}= 6.5[/tex]

Taking ln both side:

We get:

r = 0.374

[tex]\rm 5000 = 20e^{0.374t}[/tex]

After solving, we get:

t = 14.76 ≈ 15 years

Thus, the 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

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Case 1

Case 2

Option A

It's impossible thing

Answer:

d.  (4w2 + 180w) m2

Step-by-step explanation:

Area of tiled floor = (area of tiled floor+ pool ) - area of pool

area of pool =l x b = 30 x 60 =1800  ...............a

length of pool + tiled floor = 30+2w

breadth of pool + tiled floor = 60+2w

Hence, (area of tiled floor+ pool ) =

(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b

b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w

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the probability of getting one head and one tail on the toss of two coins is 0.5percent chance

Answer:

1:1

Step-by-step explanation: