A volleyball player’s serving percentage is 75%. Six of her serves are randomly selected. Using the table, what is the probability that at most 4 of them were successes?




A 2-column table with 7 rows. Column 1 is labeled number of serves with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0. 0002, 0. 004, 0. 033, 0. 132, 0. 297, 0. 356, question mark.




0. 297



0. 466



0. 534



0. 822

Answer:

C

trust

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angle measures for this problem are given as follows:

The quadrilateral A'B'C'D' is similar to quadrilateral ABCD, meaning that they have the same angle measures, and thus we have to obtain the angle measures of quadrilateral ABCD.

To obtain the angle measures of the quadrilateral ABCD, we must first obtain the angle measures of the triangle.

The sum of the measures of the internal angles of a triangle is of 180º, and the measures are given as follows:

Angle D is vertical with the angle of 77º, hence:

m < D' = 77º.

Angle B is supplementary with it's external angles, hence:

m < B' = 180 - 80 = 100º.

Angle C is congruent with the angle of 80º.

m < C' = 80º.

The sum of the measures of the internal angles of a quadrilateral is of 360º, hence:

m < A' + 100 + 77 + 80 = 360

m < A' = 103º.

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The row and column totals will be the same as for the observed frequency is 86.4.To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, you can use the formula for expected frequency:

Expected Frequency = (Row Total * Column Total) / Grand Total

Let's call the expected frequency "EF."

For the "fewer than 6 hours" row, the total is 72. For the "39 or younger" column, the total is 240. The grand total is 500.

Plugging in the values into the formula:

EF = (72 * 240) / 500

Calculating the result:

EF = 86.4

So, the expected frequency is 86.4, which means that you would expect 86.4 people in the sample to get fewer than 6 hours of sleep per night and be age 39 or younger.

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The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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x>3 is the answer

Step-by-step explanation:

\(3( x− 3) − 5x >− 3x − 6 \\ 3x - 9 - 5x > - 3x - 6 \\ 3x - 9 - 5x + 5x > - 3x - 6 + 5x \\ 3x - 9 > 2x - 6 \\ 3x - 9 - 2x > 2x - 6 - 2x \\ x - 9 > - 6 \\ x - 9 + 9> - 6 + 9 \\ x > 3\)

Answer:

V=lwh

3

Step-by-step explanation:

Forming a triangle using the 45 degree angle both the horizontal and vertical dimensions need to be identical.

The horizontal dimension is given as 2.5m , so the vertical dimension also has to be 2.5m.

Can calculate it as:

Tan(45) = vertical/ horizontal

Tan(45) = x/2.5

Tan(45) = 1

1 = x/2.5

X = 2.5/1

X = 2.5

Answer:

hope this helps

Step-by-step explanation:

hope this helps

In order to present a performance evaluation achieved by Fitness function 1 and Fitness function 2, we need to consider the route distance and convergence rate. Firstly, Fitness function 1 calculates the distance of each possible route and returns the shortest distance as the fittest solution.

On the other hand, Fitness function 2 optimizes the route based on the number of stops and the shortest distance .

Both functions have their own advantages and disadvantages. For example, Fitness function 1 is very effective when there are a small number of stops on the route, whereas Fitness function 2 is more suitable when there are a large number of stops on the route. Moreover, Fitness function 1 provides better convergence rate as it optimizes the shortest distance in the route. However, Fitness function 2 has a slower convergence rate as it optimizes the shortest distance and the number of stops together.

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Answer:

Rotation does not change lengths.

Answer:

68266==874624./4

Step-by-step explanation:

77353877473=287365-2874662kkh=2875

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

let n be the number , then

\(\frac{1}{3}\) n = \(\frac{1}{2}\) ( multiply both sides by 3 )

n = 3 × \(\frac{1}{2}\) = \(\frac{3}{2}\)

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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Answer:

Step-by-step explanation:

If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.

Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is

d) Time taken will be less if number of workers are increased to complete the same work.​

The rest are direct variation scenarios

A histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.

To study the center, shape, and spread of the data for the amount spent on rent for apartments in the Gainesville area, the student would typically create a histogram.

A histogram is a type of graph that represents the distribution of continuous data by dividing it into intervals, or bins, and displaying the frequency or count of data points falling within each interval. It provides insights into the center (central tendency), shape, and spread (dispersion) of the data.

In the student's case, the amount spent on rent for apartments would be the continuous variable, and the student would group the data into intervals (e.g., rent ranges) and count the number of apartment complexes falling within each interval.

By creating a histogram, the student can visually analyze the distribution of rent amounts, identify the most common rent ranges (mode), and observe the shape of the distribution (symmetric, skewed, etc.). The histogram can also provide insights into the spread of the data, such as the range of rent amounts and the presence of outliers.

Overall, a histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.

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Answer:

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

Answer:

I got you.

Step-by-step explanation:

A. >

B. =

C. >

D. <

Answer:

a >

b =

c >

d <

Step-by-step explanation:

hope this helps

Answer:

C,) the right triangle altitude theorem  

Step-by-step explanation:

EDGE 2021 AQR ASSIGNMENT, Justifying Steps in the Proof of the Pythagorean Theorem

Right triangle altitude theorem allows you to state that the triangles are similar in order to write the true proportions

A triangle is a three-sided polygon that consists of three edges and three vertices.

Angle ACB is a right angle.

Altitude h is drawn from point C to point D on side A B.

Line A D is labeled e, line D B is labeled f, side A B is labeled c, side A C is labeled b, and side C B is labeled a.

AC = b, CA = a, CD = h.

In a proof of the Pythagorean theorem using similarity, we need to find allows you to state that the triangles are similar in order to write the true proportions.

The right triangle altitude theorem states that the geometric mean of the two segments equals the altitude.

Hence, right triangle altitude theorem state that the triangles are similar in order to write the true proportions

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The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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Answer:

400 milliliters or 0.4 liters

Step-by-step explanation:

To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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Answer:

(1.5, 11)

Step-by-step explanation:

Answer:

Step-by-step explanation:

760+620+80=1460 total monthly expenses.

$32,580 annually divided by 12 months = monthly income of $2,715

2,715-1460=1,255

Her budget shows a surplus of $1,255

Step-by-step explanation:

1/6

Probability of rolling more than a certain number (e.g. roll more than a 5).

Roll more than a… Probability

2 4/6 (66.67%)

3 3/6 (50%)

4 4/6 (66.667%)

5 1/6 (66.67%)

Answer:

I believe it is 108

Step-by-step explanation:

6×6=36×6 is 216 and 216 ÷2 is 108

Answer:

72cm cubed

Step-by-step explanation: