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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

Volume A = one third(Volume B)

Step-by-step explanation:

I just took the test

Answer:

Volume A = one third(Volume B)

Step-by-step explanattyy

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Step-by-step explanation:

the answer is in the above image

9514 1404 393

Answer:

  1a. f(4) = 1/2

  1b. DNE

  2a. f(2) = 5

  2b. f(-3/2) = 9 1/4

  2c. 4

  2d. -2

  2e. -1/3

Step-by-step explanation:

The limit for functions that can be evaluated is simply the value of the function. (1a, 2a, 2b are like that)

Some rational functions, particularly the ratios of polynomials, can be simplified by cancelling common factors from numerator and denominator. The simplified form can often be evaluated directly at the variable value that leaves the original function "undefined." (2c and 2d are like that)

Where a (simplified) rational function has an odd-degree zero in the denominator, there is no limit at that point. The function value changes sign at the discontinuity, so the left limit is different from the right limit. The limit Does Not Exist. (1b is like that)

Indeterminate forms (0/0 or ∞/∞)have their own methods for finding limits. Chief among these is L'Hopital's rule, which has you compare derivatives of numerator and denominator, repeating as necessary if those also give an indeterminate form. I like to gain a clue from the graph. Often, the function can be evaluated "arbitrarily close" to the limiting value of the variable, so the limit can be guessed at without much trouble.

__

1a. Evaluate the function: 1/(4-2) = 1/2

1b. the denominator changes sign at x=2, so the limit Does Not Exist

2a. Evaluate the function: (2-2)(2) +5 = 5

2b. Evaluate the function: (-3/2 -4)(-3/2) +1 = 33/4 +1 = 37/4 = 9 1/4

2c. Simplify and evaluate: (x -3)(x -7)/(x -7) = x -3 ⇒ 7 -3 = 4

2d. Simplify and evaluate: (x +1)(x +3)/(x +3) = x +1 ⇒ -3 +1 = -2

2e. The function has a hole at x=4 but can be evaluated nearby (approximation). (See attached). The limit is -1/3. (The ratio of derivatives per L'Hopital's rule reduces to -(√5-x)/√(5+x) = -√(1/9) = -1/3.)

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

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

Work Shown:

F = future value

P = present value = 280

r = rate of inflation in decimal form = 0.08

t = elapsed time in years = 2

---------

F = P*(1+r)^t

F = 280*(1+0.08)^2

F = 326.592

F = 326.59

Answer:

5x+7=9+3x

x=1

Step-by-step explanation:

Answer:

this one i dont know but ill try

a or 1 2744 cubed

Step-by-step explanation:

Given:

Base area = 196π cm²

Height of cylinder = diameter of base

To find:

Volume of cylinder

Steps:

First lets find the radius of cylinder,

Base area = πr²

        196π = πr²

          196 = r²                    (pi gets canceled)

            14 = r

Radius of cylinder is 14 cm

So, diameter of cylinder is 28 cm             (d= 2r = 2 * 14 = 28)

Therefore height of cylinder is 28 cm

Now lets find the volume of cylinder,

Volume of cylinder = Base area × height

= 196π × 28

= 5488π

= 5488 × π

= 17,241.1 cm cube

Therefore the volume of the cylinder is 17,241.1 cm³

Happy to help :)

If u didn't understand any topic, pls feel free to ask

Answer:

Step-by-step explanation:

(2*9/5d*9)-(1*5/9d*5)

18/45d-5/45d

13/45d

Answer:

Step-by-step explanation:

First the equation is 180 because W B Z is 180' - (48' + 32') which is K B R AND R B Z combined and the rest is equal to W B K and thats the equation now 180 - 48 + 32 = 100' which is your answers for all others

Answer:

Step-by-step explanation:

The equation would be 180 - 80. This is the equation because we would have to do 48 + 32 which is 80. Then we do 180 - 80 which would give us the answer of 100.

In triangle DEF, the length of segment DF is 15√3. So correct option is C.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of its sides. There are three primary trigonometric ratios: sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan, respectively.

Here are the definitions of these trigonometric ratios:

Sine (sin): The sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. This can be written as sin(theta) = opposite / hypotenuse.

Cosine (cos): The cosine of an angle in a right triangle is equal to the length of the adjacent side divided by the length of the hypotenuse. This can be written as cos(theta) = adjacent / hypotenuse.

Tangent (tan): The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the adjacent side. This can be written as tan(theta) = opposite / adjacent.

In triangle DEF, we have a right triangle at E, which means that angle DEF is a 90-degree angle. We are also given that angle DFE is 60 degrees, which means that angle EDF is 30 degrees (since the angles in a triangle add up to 180 degrees).

Let DF = x. Then, we can use the trigonometric ratios of the 30-60-90 degree triangle to solve for x

We know that the ratio of the sides in a 30-60-90 degree triangle is x : x√3 : 2x. Therefore, we have:

DE / DF = x√3 / x = √3

Simplifying this, we get:

x = DE / (√3) = 45 / (√3) = 15√3

Therefore, the length of segment DF is 15√3, which is answer choice C.

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Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

Answer:

(1.5,-0.5)

Step-by-step explanation:

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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Join Zoom Meeting

Meeting ID: 306 049 3953

Passcode: 033798

Answer:

125 shirts

Step-by-step explanation:

The percent error of the house of the pizza would be 2.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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Answer:

4 cakes

Step-by-step explanation:

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

The linear equation is.

y = -0.4*x + 28

Using that, we can see that a person that spends 10 hours in social media is about 45 years old.

Remember that the general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

\(a = (y_1 - y_2)/(x_1 - x_2)\)

In this case we have the two points:

(50, 8) and (20, 20)

Where the first value is the age and the second is the time they spend on social media.

Using these values, we can get the slope:

\(a = (20 - 8)/(20 - 50) = 12/-30 = -0.4\)

Then the line is something like:

y = -0.4*x + b

To find the value of b we can evaluate the point (20, 20), this gives:

20 = -0.4*20 + b

20 + 0.4*20  = b

28 = b

Then the linear equation that models this situation is:

y = -0.4*x + 28

Using this, the age of a person who spends 10 hours per week in social media is given by solving:

10 = -0.4*x + 28

(10 - 28)/-0.4 = x

45 = x

So a person that spends 10 hours in social media is about 45 years old.

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Answer:

the answer to this is

(a.)(2,-1)

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

since your in pre-k bud x+y+z = abc :)

Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc

this is totally correct:)

The probability of rolling a 6 given that the value is an even number is 1/3.

There are three even numbers on a die: 2, 4, and 6. The probability of getting an even number is therefore 3/6 or 1/2.

Since the problem specifies that the value is even, we only need to consider the outcomes 2, 4, and 6. The probability of rolling a 6 out of those three outcomes is 1/3.

Using conditional probability, the probability of rolling a 6 given that the value is even is:

P(6 | even) = P(6 and even) / P(even)

P(6 and even) = 1/6 (only 1 way to roll a 6)

P(even) = 1/2

P(6 | even) = (1/6) / (1/2) = 1/3

Therefore, the probability of rolling a 6 given that the value is an even number is 1/3.

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Answer:

636

8u2b4c9....°73vaultx8 3_2144,773,90=636

Step-by-step explanation:

993yuei92u83vaultx21564=636

Answer:

250

Step-by-step explanation:

because 147 rounded is 150 14 is 10 and 85 is 90 these added together are 250

Answer:

3.26%

Step-by-step explanation:

The computation of the probability that she is a student is shown below:

Percentage of student developers = 25.8% = SD

The Percentage of the developer is student = 7.4% = DS

The percentage of the developer is not student = 76.4% = ND

Based on this, the probability is

\(= \frac{SD \times DS}{SD \times DS + DS \times ND}\)

\(= \frac{25.8\% \times 7.4\%}{25.8\% \times 7.4\% + 7.4\% \times 76.4\%}\)

=3.26%

we simply considered all the elements

The equation that is used to determine the amount c, in pounds, of the cinnamon flavored coffee, and the amount h, in pounds, of the hazelnut flavored coffee is c + h = 20 and 6c + 9h = 20(8)

An equation is an expression that shows the relationship between two or more variables and numbers.

Let c represent the amount of cinnamon flavored coffee, and h represent the amount in pounds, of the hazelnut flavored coffee.

The required blend is 20 pounds:

c + h = 20    (1)

Also:

6c + 9h = 20(8)  (2)

From eqn 1 and 2:

The equation that is used to determine the amount c, in pounds, of the cinnamon flavored coffee, and the amount h, in pounds, of the hazelnut flavored coffee is c + h = 20 and 6c + 9h = 20(8)

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Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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