What percent is 60 is 42

Using Venn diagram, if a student is chosen randomly, (a) the probability that he or she is not in any of the language classes is 0.5, (b) the probability that he or she is taking exactly one language class is 0.32, and (c) if 2 students are chosen randomly, the probability that at least 1 is taking a language class is 0.753.

Venn diagram is a diagram used to present the relationship between sets in a logical form. (See attached image)

Let A = students in the Spanish class = 28

B = students in the French class = 26

C = students in the German class = 16

Hence, the probability of each class is:

P(A) = 28/100 = 0.28

P(B) = 26/100 = 0.26

P(C) = 16/100 = 0.16

P(A ∩ B) = 12/100 = 0.12

P(B ∩ C) = 6/100 = 0.06

P(A ∩ C) = 4/100 = 0.04

P(A ∩ B ∩ C) = 2/100 = 0.02

(a) P(not A, B, C) = 1 - P(A ∪ B ∪ C)

P(not A, B, C) = 1 - [P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]

P(not A, B, C) = 1 - (0.28 + 0.26 + 0.16 - 0.12 - 0.06 - 0.04 + 0.02)

P(not A, B, C) = 1 - 0.5

P(not A, B, C) = 0.5

(b) P(A, B, C only) = P(A only) + P(B only) + P(c only)

P(A, B, C only) = [P(A) - P(A ∩ B) - P(A ∩ C) + P(A ∩ B ∩ C)] + [P(B) - P(A ∩ B) - P(B ∩ C) + P(A ∩ B ∩ C)] + [P(C) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]

P(A, B, C only) = (0.28 - 0.12 - 0.04 + 0.02) + (0.26 - 0.12 - 0.06 + 0.02) + (0.16 - 0.06 - 0.04 + 0.02)

P(A, B, C only) = 0.14 + 0.10 + 0.08

P(A, B, C only) = 0.32

(c) P = 1 - (50/100 x 49/99)

P = 1 - (49/198)

P = 149/198

P = 0.753

To complete the problem, here are the questions:

(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?

(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?

(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

Learn more about Venn diagrams here: brainly.com/question/24713052

#SPJ4

The final equation for the population as a function of time is:
p(t) = 5000e^(ln(2)/10 * t).

The correct initial value problem for the population, p(t), as a function of time, t, is:
dp/dt = kp, p(0) = 5000

where k is the proportionality constant. This is a first-order linear differential equation with constant coefficients, which can be solved using separation of variables. The solution is:
p(t) = 5000e^(kt)

where e is the base of the natural logarithm. The value of k can be found by using the fact that the population doubles every 10 years, which means that:

p(10) = 10000 = 5000e^(10k)

Solving for k, we get:

k = ln(2)/10

Therefore, the final equation for the population as a function of time is:
p(t) = 5000e^(ln(2)/10 * t)

Learn more about  function here:

https://brainly.com/question/30721594

#SPJ11

Answer:

Option 3

Step-by-step explanation:

If you multiply the numbers inside the root of option 3, you get the equation

2 * 2 * 3 * 3 * 5

Which equals 180

Replacing the root sign will show that you have the right answer.

Answer:

a.

Step-by-step explanation:

a. is the answer to your question

Answer: I can't see what it is, cause it says of and I do not know what you are talking about. I hope you find some luck somewhere.

Have a blessed day. Bye

Step-by-step explanation:

To find f(g(x)), we need to substitute g(x) into the function f(x) and simplify the expression. f(g(x)) represents the amount of money Sonia earns per hour based on the number of hours she works.

The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works.

To find f(g(x)), we substitute g(x) into the function f(x). Since g(x) represents the number of bread loaves Sonia bakes per hour, we substitute it for x in the function f(x). This gives us f(g(x)) = f(g(x)) represents the amount of money Sonia earns per hour based on the number of hours she works.

For example, if g(x) = 10, it means Sonia bakes 10 bread loaves per hour. Substituting this value into f(x), we find f(g(x)) = f(10), which gives us the amount of money Sonia earns per hour when she bakes 10 bread loaves.

By evaluating f(g(x)) for different values of x or g(x), we can determine the relationship between the number of hours Sonia works, the number of bread loaves she bakes per hour, and the amount of money she earns per hour.

Learn more about substitute here:

https://brainly.com/question/29383142

#SPJ11

After answering the given query, we can state that Consequently, interest  Edward received interest of $780.

Divide the capital by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing strategy. This method makes it easiest to compute interest. The most typical method to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is typically determined as an annual percentage of the loan amount. The interest on the debt is this percentage.

Edward's interest can be calculated using the following formula:

Interest is calculated as follows: Principal x Interest Rate x Time

where

$6,500 is the principal. (the initial amount deposited)

Rate = 4% (the simple interest rate per year)

t equals three years (the time period for which interest is being calculated)

When the numbers are added to the formula, we obtain:

Interest: $780 ($6,500 multiplied by 0.04% times three)

Consequently, Edward received interest of $780.

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

Therefore, the formula for converting 35 liters to milliliters is 35000, with a conversion factor of 1000.

This is further explained below.

Generally,  The amount that is supplied in liters must be multiplied by 1000 in order to be converted to milliliters.

A conversion factor is a number that may be multiplied or divided to shift the units of measurement used for one set to another.

In situations when a conversion is required, the correct conversion factor that results in the same value must be used. For the purpose of converting inches to feet, for instance, the correct value for the conversion is 12 inches equaling 1 foot.

In conclusion, Therefore 35 liters to milliliters is given as 35000, conversion factor of 1000

Read more about the conversion factors

https://brainly.com/question/20822566

#SPJ4

Answer:

1000ml and 1 liter

Step-by-step explanation:

Answer:

250 pounds

Step-by-step explanation:

405 ÷ 1.62 = 250pounds

Answer:

£250

Step-by-step explanation:

$405 ÷ 1.62 = £250

Using the properties of exponents, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

From the question, we are to evaluate the given expression

The given expression is

(y^3/2 x^-1/2)^4

Using the properties of exponents, we can simplify the expression as shown below

(y^3/2 x^-1/2)^4

[y^(3/2×4) x^(-1/2×4)]

[y^(12/2) x^(-4/2)]

(y^6 x^-2)

OR

(y⁶ x⁻²)

Hence, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

Learn more on Evaluating an expression here: https://brainly.com/question/1403904

#SPJ1

The quadrilateral with vertices (0,0), (5,0), (8,4), and (3,4) is a rhombus.

What is a rhombus?

A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.

What is a distance formula?

D = √(x₂ - x₁)² + (y₂ - y₁)²

Here, we have

Given vertices A(0,0), B(5,0), C(8,4), and D(3,4)

By applying the distance formula, we get

AB = √(5 - 0)² + (0 - 0)²  = 5

BC = √(8 - 5)² + (4 - 0)²  = 5

CD = √(3 - 8)² + (4 - 4)²  = 5

Hence, it's all sides are equal so it is a rhombus.

To learn more about rhombus from the given link

https://brainly.com/question/20627264

#SPJ1

Answer:

Step-by-step explanation:

Given:

Find the amount of the tax:

Answer:

2 liters > 473mlx4

Step-by-step explanation:

This is your answer because as you can see, that 1 liter = 1000ml, that means that 500ml of juice, will make perfect 2 liters of juice if multiplied by 4. But here, we can see that the ml in one can is just 473, so, that means that it is less than, it's just simple logic.

Thanks!

Area (ABC) is measured as Area (PQR), which equals 16:25.

To locate,

Area (ABC) is measured as: (PQR).

Solution,

This mathematical issue can easily resolved by utilising the procedure outlined below:

According to the "Area of Similar Triangles Theorem" in mathematics,

When two triangles are similar, their area ratios are proportional to the square of the ratio of the respective sides.

{Statement-1}

In light of the query and assertion 1, we can state,

Area (ABC) is measured as: (PQR)

= (AB: PQ), (BC: QR), and (AC: PR)

= (4:5)2 = (4/5)2

= 16/25 = 16:25

As a result, Area (ABC): Area (PQR) is measured at 16:25.

To know more about Similar Triangles, click the below link

https://brainly.com/question/14926756

#SPJ4

Answer: f(x) = (1/8)(x + 5)3

Step-by-Step:

f(x) = a(x + 5)3

f(3) = a(3 + 5)3 = 64

a = 64 / 83 = 82 / 83 = 1/8

a complementary functions

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Replace the letters with their given values:

6(6) - 8 / 4

Do the multiplication:

36-8 / 4

Subtract:

28/4

Divide to get the final answer :7

Answer = 7

Answer:

it’s , 7

Step-by-step explanation:

To evaluate an expression with variables: 1. Substitute the values for the variables. 2. Identify grouping symbols, beginning with the innermost symbols. 3. Determine and apply the rules of exponents to simplify. 4. Evaluate. Evaluate the expression using x = –1 and y=3. (6x4y3) What is the value of the expression?

Answer:

57.8 or 57 and four fifths

Step-by-step explanation:

5+14=19

19*3=57

57+0.8= 57.8

Answer: w = -6

Step-by-step explanation:

-30 = 3(w + 6) + 5w

-30 = 3w + 18 + 5w

-30 = 8w + 18

-48 = 8w

w = -6

Hope this helps

The given expression is

First, we express the first number in scientific notation. We have to make sure that both scientific notations have the same exponent.

Then, we subtract the coefficients.

Answer:

85%

Step-by-step explanation:

34/40 = 0.85

0.85 * 100 = 85

By solving the systems of equations we can say there were 373 children and 235 adults who swam at the public pool that day.

To determine the number of children and adults who swam at the public pool, we can set up a system of equations based on the given information.

Let's assume the number of children is represented by 'C' and the number of adults by 'A'.

From the problem, we have the following information:

1. The total number of people who used the pool is 608:

C + A = 608

2. The total receipts from admission were $1029.50:

1.50C + 2.00A = 1029.50

To solve this system of equations, we can use various methods, such as substitution or elimination.

Using the substitution method, we can solve the first equation for C:

C = 608 - A

Substituting this value into the second equation:

1.50(608 - A) + 2.00A = 1029.50

912 - 1.50A + 2.00A = 1029.50

0.50A = 117.50

A = 235

Substituting the value of A back into the first equation:

C + 235 = 608

C = 373

Therefore, there were 373 children and 235 adults who swam at the public pool that day.

To know more about systems of equations, click here: brainly.com/question/20067450

#SPJ11

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9/3 + 4

3 + 4 =

7

The relation between multiplying and dividing two negative fractions is needed.

When multiplying and dividing two negative fractions the answer will be always positive.

Let \(-\dfrac{a}{b}\) be one fraction

and \(-\dfrac{c}{d}\) be another fraction

Let us multiply them

\(-\dfrac{a}{b}\times -\dfrac{c}{d}=+\dfrac{ac}{bd}\)

Let us divide them

\(\dfrac{-\dfrac{a}{b}}{-\dfrac{c}{d}}\)

This can also be written as

\(-\dfrac{a}{b}\times -\dfrac{d}{c}=+\dfrac{ad}{bc}\)

Since, multiplication and division are the inverse of each other the negative signs cancel each other and the sign is positive.

Hence, when multiplying and dividing two negative fractions the answer will be always positive.

Learn more:

https://brainly.com/question/15381501

https://brainly.com/question/17639366

Applying the scale factor of 1:5, Lisa del Giocondo's face was 1.6 inches long in the sketch.

If the scale factor from the sketch to real life is 1:5, then it means that every inch in the sketch represents 5 inches in real life.

Therefore, to find out how long Lisa del Giocondo's face was in the sketch, we need to multiply the real-life length of her face by the inverse of the scale factor, which is 1/5.

If her face was 8 inches long in real life, then her face in the sketch would be:

8 inches * (1/5) = 1.6 inches

Therefore, based on the scale factor given, Lisa del Giocondo's face was 1.6 inches long in the sketch.

Learn more about scale factor on:

https://brainly.com/question/30943490

#SPJ1

Answer:

d≈134.35

P Perimeter

380

Using the formulas

P=4a

d=2a

Solving ford

d=2P

4=2·380

4≈134.35029

Step-by-step explanation:

Answer:

vnfcjvfn dcjxfhhnvn vn

Step-by-step explanation:

Answer:

the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

Answer:

To determine the density of the mixture, we need to first find the total volume of the mixture, which can be calculated by adding the volumes of metal A and metal B.

The volume of metal A can be calculated using the formula:

Volume = Mass / Density

So, the volume of metal A is:

Volume of A = 3.3g / 2.7g/cm³ = 1.2222... cm³ (rounded to four decimal places)

Similarly, the volume of metal B is:

Volume of B = 2.4g / 4.8g/cm³ = 0.5 cm³

The total volume of the mixture is therefore:

Total Volume = Volume of A + Volume of B

= 1.2222... cm³ + 0.5 cm³

= 1.7222... cm³ (rounded to four decimal places)

To find the density of the mixture, we can use the formula:

Density = Mass / Volume

The total mass of the mixture is:

Total Mass = Mass of A + Mass of B

= 3.3g + 2.4g

= 5.7g

So, the density of the mixture is:

Density = Total Mass / Total Volume

= 5.7g / 1.7222... cm³

= 3.3103... g/cm³ (rounded to four decimal places)

Therefore, the density of the mixture is approximately 3.3103 g/cm³

Step-by-step explanation:

The side length of BC in ∠ABC is 11.

Solution:

∠A = 32°

∠C = 39°

∠B = 180°-39°-42°

∠B = 99°

side length of AC = 16

a / sin A = b / sin B = c / sin C

a / sin42° = 16 / sin99°

a = 16 sin42°/ sin99°

a = 10.84

a = 11

The side length of BC = 11

To learn more about side length of triangle refer to:

https://brainly.com/question/24597672

#SPJ1

Answer:

Step-by-step explanation:

c - d = 7

c = 3 - 8i            Substitute into the top equation

3 - 8i - d = 7      Subtract 3 from both sides

- 8i - d = 7 - 3    Combine

-8i - d =4            Add 8i to both sides

-d = 4 + 8i           Multiply through by -1

-1*-d = -4 - 8i

d = - 4 - 8i

Looks like B is the answer.