A school’s prom committee is composed of 10 students. Seven are girls: Kelly, Karri, Michela, Raquel, Rara, Nadya, and Neesa. Three are boys: Rio, Elke, and Kevin. If they choose a student at random, what is the probability the choose a student whose name begins with "K" P(K name)?



Question 1 options:



30%




70%




40%




50%

Answer:8/3x

Step-by-step explanation:tell if this didnt work

There is a high likelihood of a positive correlation between a placement test score and the final grade in a class, although it is not guaranteed.

A placement test is designed to assess a student's knowledge and skills in a particular subject area, and is often used to determine the appropriate starting level for the student in that subject. Since the placement test is intended to measure the student's proficiency in the subject area being tested, a high score on the placement test can indicate a strong foundation of knowledge and skills that may be relevant to the class.

If the class material builds upon the content covered in the placement test, it is reasonable to expect that students who score well on the placement test will have an advantage over those who score poorly, and may perform better in the class. However, other factors such as the difficulty of the class, teaching style, motivation, and prior knowledge may also contribute to a student's final grade in the class. Therefore, while a positive correlation between placement test score and final grade is likely, it is not a guarantee.

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The average rate of change of the function over the interval is 2.07

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

The graph

The interval is given as

From x = -2 to x = 1

The function is a polynomial function

This means that it does not have a constant average rate of change

So, we have

f(-2) =-2.2

f(1) = 4

Next, we have

Rate = (4 + 2.2)/(1 + 2)

Evaluate

Rate = 2.07

Hence, the rate is 2.07

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The independent events are illustrations of probability, and the value of P (b) is 0.60

To determine the value of P (b):

The given parameters are:

P (a) = 0.20

P (a and b) = 0.12

The two events a and b are independent, if

P (a and b) = P (a) × P (b)

So, we have:

0.20 × P (b) = 0.12

Divide both sides by 0.20

That is,

( 0.20 x P (b) ) ÷ 0.20 = 0.12 ÷ 0.20 = 0.60

Hence, the value of P (b) is 0.60

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Answer:

-6a - 48

4 + 36x

-30n + 42

18m + 20

Answer:

0.0037

Step-by-step explanation:

In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.

The required answer is : D. I and III

If there is an increase in the number of workers hired, the AFC curve would shift.

This is the correct option: D. I and III

Explanation:

There are three types of costs in the short run: total cost (TC), average variable cost (AVC), and average fixed cost (AFC).

The Total Cost (TC) curve would be affected by an increase in the number of workers hired.

The average variable cost (AVC) curve represents the per-unit variable costs incurred when producing a product or service. This curve would be affected if there was a change in the cost of producing each unit of output. Because the increase in the number of workers does not change the cost of producing each unit of output, the AVC curve would not be affected .

Average fixed cost (AFC) refers to the per-unit fixed cost of producing a product or service. This curve would be affected if there were changes in the fixed costs of production. If the number of workers hired increases, the AFC curve will shift downwards (fall). A typical total cost curve (TC) and marginal cost curve (MC) are illustrated below:

Therefore, if there is an increase in the number of workers hired, the AFC curve would shift.

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Roland made 16 sales this week, while Vickie made 8 more sales than Roland.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Let x represent the number of sales Roland has.

Roland earns a base of $49 plus $15 per sale. HenceL

Total earning by Roland = 15x + 49

Vickie made 8 more sales than Roland. Vickie earns a base of $145 plus $6 per sale.

Total earning by Vickie = 6(x + 8) + 145 = 6x + 193

Roland and Vickie are salespeople who earned the same amount this week, Therefore:

15x + 49 = 6x + 193

9x = 144

x = 16

Roland made 16 sales this week.

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The North Celestial Pole would appear 61 degrees above your horizon at 29 degrees north latitude and 111 degrees west longitude.

To calculate how many degrees the North Celestial Pole would appear above your horizon, we need to take into account your latitude. At the North Pole, the North Celestial Pole is directly overhead (90 degrees above the horizon), while at the equator, it is on the horizon (0 degrees above the horizon).

The angle between the horizon and the North Celestial Pole is equal to your latitude. Therefore, at 29 degrees north latitude, the North Celestial Pole would appear:

90 degrees - 29 degrees = 61 degrees above the horizon.

So the North Celestial Pole would appear 61 degrees above your horizon at 29 degrees north latitude and 111 degrees west longitude.

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Answer:

no i dont think so

Step-by-step explanation:

The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.

In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.

To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.

Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:

0.375x = 50% of x

0.375x = 0.5x

0.5x - 0.375x = 0

0.125x = 0

x = 0 / 0.125

x = 0

However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.

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\(\stackrel{ \textit{scale of both radii} }{\stackrel{M}{3}~~ : ~~\stackrel{N}{1}\implies \cfrac{M}{N}=\cfrac{3}{1}}\qquad \textit{M has a radius 3 times larger than N's}\)

since M has a diameter of 12, that means its radius is half that, or 6. and since N is three times smaller, then its radius is 2 and its diameter is twice that or 4.

\(\stackrel{ \textit{\LARGE M} }{\textit{circumference of a circle}}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies C=2\pi (6)\implies C=12\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE N} }{\textit{area of a circle}}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies A=\pi (2)^2\implies A=4\pi\)

Answer:

18 eggs

Step by step explanation is given above.

Answer:

12 + 15= 27/2 = 13.5 kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since there are two lines on the graph, we will find the equation of both lines. The standard form of equation of a line is y = mx+c where;

m is the slope of the line = y₂-y₁/x₂-x₁

c is the intercept (the point where the line cuts the y axis)

For the blue line;

It can be seen that the coordinate of the lines are (1,4) and (0, -1)

m = -1-4/0-1

m = -5/-1

m = 5

For this line, it can be seen that the line cuts the y-axis at -1, hence the intercept of the line is -1

The equation of the blue line will be y = 5x+(-1)

y = 5x-1

For the red line;

It can be seen that the coordinate of the lines are (0,5) and (5, 0)

m = 0-5/5-0

m = -5/5

m = -1

For this line, it can be seen that the line cuts the y-axis at 5, hence the intercept of the line is 5

The equation of the red line will be y = -x+5

Hence, the system of equations that has the solution shown in the graph are y = 5x-1 and  y = -x+5

Answer: 155

Step-by-step explanation:

$300-$85-$60= $155

Answer:

y = -3x - 4

Step-by-step explanation:

Find the slope.

y2-y1/x2-x1

-9/3 = -3

-3 is the slope. You know the y-intercept is -4 since (0, -4) is a point. The y-intercept is the value of y where x = 0.

So if you know the slope is -3 and the y-intercept is -4, plug it into slope-intercept form.

y = mx+b

y = -3x - 4

The linear approximation for the change in the predicted probability per degree increase in temperature is approximately 0.003.

Linear approximation is an estimation method that approximates a function by a linear function. Linear approximation is also known as the tangent line approximation method.

This method is useful for finding out the approximate value of the function at a point near the given point. The linear approximation of the change in predicted probability per degree increase in temperature can be found using the formula given below: Linear Approximation Formula: Linear approximation formula is given by the following equation: f(x) ≈ f(a) + f′(a)(x − a)Where f(x) is the function, f(a) is the value of the function at the point x=a, f′(a) is the first derivative of the function at x=a, and x is the point near the point a that we want to find the approximation.

Let us apply the linear approximation formula to find the linear approximation for the change in the predicted probability per degree increase in temperature.

Let f(t) be the function that gives the predicted probability of a particular event at a temperature t. Suppose that at a temperature of 100 °F, the predicted probability is 0.8. Let f′(t) be the first derivative of the function f(t).

We need to find the linear approximation of the change in predicted probability per degree increase in temperature when the temperature is 100 °F. We can use the following steps to find the linear approximation.

Step 1: Find the value of f(100)f(100) = 0.8This means that when the temperature is 100 °F, the predicted probability is 0.8.

Step 2: Find the value of f′(100)f′(100) = df/dt = 0.003 This means that the rate of change of predicted probability with respect to temperature at 100 °F is 0.003 per degree.

Step 3: Use the linear approximation formula to find the linear approximation of the change in predicted probability per degree increase in temperature. The linear approximation formula is given by: f(x) ≈ f(a) + f′(a)(x − a)Substitute a=100, f(100)=0.8, f′(100)=0.003, and x=101 into the formula. f(101) ≈ f(100) + f′(100)(101 − 100)f(101) ≈ 0.8 + 0.003(1)f(101) ≈ 0.803

This means that the predicted probability of the particular event when the temperature is 101 °F is approximately 0.803.

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Answer:

\(\frac{40}{3}\) or 13 \(\frac{1}{3}\)

Step-by-step explanation:

The volume of a cone is 1/3 the volume of the cylinder.

Answer:

30*4^q-1

Step-by-step explanation:

I just did the test and it said I got it right.

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

Answer: 750

Step-by-step explanation:

3000/4= 750

750

Answer:

222 grams.

Step-by-step explanation:

If it is 20% more, then it is 1.2 times more. 1.2*185=222, so the cereal box comes with 222 g of cereal.

Alternative and null hypotheses are always based on populations.

A population cannot have both the alternative hypothesis and the null hypothesis be true. A hypothesis test determines whether to accept or reject the null hypothesis based on sample data.

null assumption (H0)

Under the null hypothesis, a population parameter (such as the mean, standard deviation, and so on) is equal to an assumed value. Often, the first claim that constitutes the null hypothesis is based on prior research or expert knowledge.

alternative hypotheses (H1)

A population parameter is either less, greater, or different from the value assumed by the alternative hypothesis, according to the former. The alternative hypothesis is what you could believe to be accurate or what you aim to prove.

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The answer you are looking for is 1/5(a+34).

Solution/Explanation:

"Of"="multiplication (x)."

So, therefore, write it like this, to get the better picture and visualization,

1/5 times the sum of a number "a" and "34."

"Sum" obviously is related to "addition."

So, therefore, we can simplify the algebraic expression a little bit more,

1/5 times (a+34).

Now, we can finally write it like this.

1/5x(a+34).

The more proper way to write it, however is like this:

1/5(a+34).

So, therefore, the final answer is 1/5(a+34).

I hope that this has helped you. Enjoy your day, and take care!

The given statement is required in the form of an algebraic expression.

The statement is a fifth of the sum of number a and 34.

The sum means addition

So, the sum is \(a+34\)

The statement states a fifth of which, means multiplied by \(\dfrac{1}{5}\)

The algebraic expression will be the product of \(\dfrac{1}{5}\) and \((a+34)\)

The algebraic expression is \(\dfrac{1}{5}(a+34)\)

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Step-by-step explanation:

value of b is 73 (reason : sum of triangles)

a= 34 ( reason:180-73-73=34)

Answer: 73+73=146, 180-146= 34°

Step-by-step explanation:

b is parallel to 73, b= 73°

c = 34°

so

Equation

As how many moNey left is to be decided .

So our equation is

Answer:

$391.2 per owner

Step-by-step explanation:

find the total price of the items and divide it by five