A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.

A 2-column table with 9 rows. Column 1 is labeled number of free throws made with entries 0, 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Probability with entries 0.002, 0.008, 0.04, 0.12, 0.23, 0.28, 0.21, 0.09, 0.02.

What is the standard deviation of the distribution?

A 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung contains 833.33 mg of Vaseline. This can be found by dividing the weight of the mixture by the sum of the ratio parts.

A 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung (ointment) means that there are 5 parts of Vaseline for every 1 part of hydrocortisone.

To find how many mg of Vaseline is in the mixture, we need to know the total weight of the mixture. Let's assume that the weight of the mixture is 1 gram (1000 mg) for simplicity.

Since the mixture is 5:1 Vaseline to hydrocortisone, we can divide the total weight of the mixture by the sum of the ratio parts (5+1=6) to get the weight of 1 part of the mixture:

Weight of 1 part of the mixture = 1000mg / 6 = 166.67 mg

Therefore, the weight of 5 parts of the mixture (which is the amount of Vaseline in the mixture) is:

5 x 166.67 mg = 833.33 mg

So, a 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung contains 833.33 mg of Vaseline.

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The statement first, third, and fifth are correct because the range of a function [-1, ∞), and the Axis of symmetry is x = 3.

It is described as a particular kind of relationship, and each value in the domain is associated to exactly one value in the range according to the function. They have a predefined domain and range.

We serve a purpose:

f(x) = (x – 3) ² – 1

The domain of a quadratic function is (-∞, ∞)

The range of a function [-1, ∞)

The function decreases over the interval (-∞, 3)

The Axis of symmetry is x = 3

The vertex is at (3, -1)

Thus, the statement first, third, and fifth are correct because the range of a function [-1, ∞), and the Axis of symmetry is x = 3.

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Answer:

C

(B2:B6,C4,100)

Step-by-step explanation:

edg 2020!!!

An illustration of a four-argument functional is the hypergeometric function. (B2:B6,C4,100) is the argument of the given function.

An argument is a value that is supplied to a function in mathematics in order to acquire the function's outcome. Another name for it is an independent variable. The binary function, for instance, takes two arguments, as well as, in the form of an ordered pair. An illustration of a four-argument functional is the hypergeometric function.

Astronomy, which historically utilized tables to establish the geographical positions of planets given their positions in the sky, is where the name "argument" in this sense originated. (B2:B6,C4,100) is the argument of the given function.

Therefore, (B2:B6,C4,100) is the argument of the given function.

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Answer: -1 17/20

Step-by-step explanation: use order of operations to solve, parenthesis, multiplication, addition/subtraction

Answer:

3:2 , 3/2,  3 to 2

Step-by-step explanation:

The best one is 3:2 cause it is the most used way to write a ratio. 3:2 also means 3 divided by 2 or 3 out of 2 so that's why you would use the other 2.

Answer:

1, (2,5)

2, (6,2)

3, (-5,9)

Step-by-step explanation:

OMG I was doing the same thing solving by elimination. can I get the brainlest? Pls

Answer:

Step-by-step explanation:

Dilation: multiply each coordinate

(x, y) - (5x, 5y)

(-7, 6) - (5 x -7, 5 x 6) = (-35, 30)

Answer:

Length: 3(10.75) = 32.25 cm

Width: 10.75 cm

Step-by-step explanation:

Length: 3x

Width: x

2(3x)+2x=86cm

6x+2x=86cm

8x = 86cm

x = 86/8

x = 10.75

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

\(\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14\)

So, the coordinates of G are (15,-14).

Statistics report that the average successful quitter is able to stop smoking after multiple attempts, usually between 8 to 10 times.  everyone's journey to quitting smoking is unique and may take more or fewer attempts to achieve success.

According to statistics, the average successful quitter is able to stop smoking after attempting to quit 6 to 30 times. This number varies due to individual factors and the methods used for quitting. Remember, persistence is key, and it is never too late to quit smoking for a healthier lifestyle.

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All three riders have the same speed of 20 miles per hour. Therefore, they all ride their bikes at the same rate, and no one rides at a faster rate than the others.

To compare the rates at which Jamal, Matt, and Greg ride their bikes, we need to calculate their respective speeds (or rates of motion), which are given by the distance traveled divided by the time taken.

The speed of Jamal is:

speed = distance / time

speed = 60 miles / 3 hours

speed = 20 miles per hour

The speed of Matt is:

speed = distance / time

speed = 70 miles / (3 1/2 hours)

speed = 70 miles / (7/2 hours)

speed = 20 miles per hour

The speed of Greg is:

speed = distance / time

speed = 40 miles / 2 hours

speed = 20 miles per hour

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The given statement: The standard deviation is a resistant measure of spread is true.

Standard deviation is the measure of how spread out numbers are. It is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a little variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the data deviate from the mean.

When outliers are included, resistant statistics don't change (or vary very little). Resistance does not imply that anything is immobile; that would be "immovable." It implies that your results could fluctuate a bit, but not much.

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Answer:

Step-by-step explanation:

\(a_{1}\) = 2 and d = 5

\(a_{2}\) = 7

\(a_{3}\) = 12

\(a_{4}\) = 17

\(a_{5}\) = 22

Answer:

y=4/3x+2

Step-by-step explanation:

The expected value of the square of the distance of the knight after 2016 moves is approximately 462.05.

The expected value of the square of the distance of the knight from the origin after n moves can be calculated using the following formula:

E(d²) = (1/8) * (2 * (E(d²) - 1) + 5)

where d is the distance from the origin, and E(d²) is the expected value of d².

Using this formula, the expected value of the square of the distance after 2016 moves can be calculated iteratively.

Starting with an initial estimate of E(d²), we can use the formula to calculate a better estimate in each iteration. This process can be repeated until the estimate converges to a value within a desired accuracy.

Using this approach, the expected value of the square of the distance after 2016 moves can be approximated to be 462.05.

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Answer:

$1,350

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

⇒ Total interest earned = 1000 × 0.1 × 5 = $500

If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.

⇒ 70% of $500 = 0.7 × $500 = $350

Account balance = principal + interest earned after tax

                             = $1,000 + $350

                             = $1,350

Answer:

a.

Required equation is

b.

Solve the equation

Answer:

x = 0

y= -3

Step-by-step explanation:

x = y + 3 into the equation y = -4x - 3, so

y = -4(y+3) - 3

y = -4y - 12 - 3

y = -4y - 15

5y = -15

y = -3

Then, you can substitute this into the equation x = y + 3

\(x = -3 + 3\\x = 0\)

Answer:

Step-by-step explanation:

A. Linear- the add up to 180

B. 3x-5+2x+3+4x+2=180

   9x=180

    x=20

C. plug x in

   ABD- 55, DBK- 82, KBC- 43

The limit of the sequence of partial sums does not exist.

Consider the given series ₁ In (²1₁) [infinity] n=1.

Here,In(²1₁) refers to the natural logarithm of the (n + 1)th term of the series and the subscript (n) refers to the term number.

Let's discuss the given questions one by one. A) The first three partial sums of this series are:S1 = In 2S2 = In 2 + In 3 = In 6S3 = In 2 + In 3 + In 4 = In 24 B) The nth partial sum of this series is:S = In 2 + In 3 + ... + In (n + 1)

Now, using the logarithmic properties, we can write:S = ln(2 * 3 * ... * (n + 1))= ln [ (n + 1)! / 2 ]

C) To find the limit of the sequence of partial sums as n approaches infinity, we use the formula we found in part (B).Let's take L as the limit of the sequence of partial sums. Then,L = lim n → ∞ S= lim n → ∞ ln [ (n + 1)! / 2 ]= ln [ lim n → ∞ (n + 1)! / 2 ]= ln [ ∞ / 2 ]= ∞

Therefore, the limit of the sequence of partial sums does not exist.

D) The series diverges as the limit of the sequence of partial sums does not exist.

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Answer:

The sum of given mixed fractions is 1/2.

Given that, .

What is addition of two fractions?

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible).

Now,

= -9/4 + 11/4

= (-9+11)/4

= 2/4

= 1/2

Hence, the sum of given mixed fractions is 1/2.

Step-by-step explanation:

To find the probability of either event occurring, we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).

Given that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.25, we can substitute these values into the formula.

\(P(A or B) = P(A) + P(B) - P(A and B)\)
\(P(A or B) = 0.6 + 0.5 - 0.25\)
\(P(A or B) = 0.85 - 0.25\)
\(P(A or B) = 0.60\)
The probability of either event occurring is 0.60 or 60%.

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The probability of either event occurring can be found by adding the probabilities of the individual events and subtracting the probability of both events happening together. In this case, the probability of either event A or event B occurring is 0.6.

The probability of either event occurring can be calculated using the principle of addition. To find the probability of either event happening, we need to sum the individual probabilities of the events and subtract the probability of both events happening together.

Given:

p(a) = 0.6 (probability of event A occurring)
p(b) = 0.5 (probability of event B occurring)
p(a and b) = 0.25 (probability of both events happening together)

To calculate the probability of either event occurring, we can use the formula:

p(a or b) = p(a) + p(b) - p(a and b)

Substituting the given values into the formula:

p(a or b) = 0.6 + 0.5 - 0.25

p(a or b) = 0.85 - 0.25

p(a or b) = 0.6

Therefore, the probability of either event A or event B occurring is 0.6.

To understand this concept better, let's consider an example. Suppose event A represents rolling a fair six-sided die and getting an even number (2, 4, or 6). The probability of event A occurring would be 0.5. Now, let event B represent flipping a fair coin and getting heads. The probability of event B occurring would be 0.5.

If we want to find the probability of either rolling an even number or flipping heads, we can use the formula mentioned earlier. The probability of rolling an even number is 0.5, the probability of flipping heads is 0.5, and the probability of both happening together is 0.25. Plugging these values into the formula, we get:

p(A or B) = 0.5 + 0.5 - 0.25

              = 0.75

Therefore, the probability of either rolling an even number or flipping heads is 0.75.

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Answer:

2 times 11 times 3511

Step-by-step explanation:

i kinda dont know what your asking but i tried

The common prime factor of the numbers  77 and 242? will be 11.

A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,

Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,

77 / 11 = 7

242 / 11 = 22

Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.

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The curve y = x^(-2) represents a hyperbola that is symmetric about the y-axis. Let's examine the two given points on the curve, (-4, 1/16) and (-1/2, 4), within the interval -4 to -1/2.

The point (-4, 1/16) means that when x is -4, y (or f(x)) is 1/16. This indicates that at x = -4, the corresponding y-value is 1/16. Similarly, the point (-1/2, 4) signifies that when x is -1/2, y is 4.

By plotting these two points on a graph, we can visualize the curve and its behavior within the given interval.

The point (-4, 1/16) is located in the fourth quadrant, close to the x-axis. The point (-1/2, 4) is in the second quadrant, closer to the y-axis. Since the curve y = x^(-2) is symmetric about the y-axis, we can infer that it extends further into the first and third quadrants.

As x approaches -4 from the interval (-4, -1/2), the values of y decrease rapidly. As x approaches -1/2, y approaches positive infinity. This behavior is consistent with the shape of the hyperbola y = x^(-2), where y becomes increasingly large as x approaches zero.

It's worth noting that the given interval (-4, -1/2) does not include x = 0, as x^(-2) is undefined at x = 0 due to division by zero. Therefore, we do not have information about the behavior of the curve at x = 0 within this interval.

To summarize, the given points (-4, 1/16) and (-1/2, 4) lie on the curve y = x^(-2) within the interval -4 to -1/2. Plotting these points reveals the shape and behavior of the hyperbola, showing a rapid decrease in y as x approaches -4 and an increase in y as x approaches -1/2.

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Consider the curve y=x^-2 on the interval -4 -1/2, recall that the two given points on the curve y = x^(-2) on the interval -4 to -1/2 are (-4, 1/16) and (-1/2, 4).

The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.

What is the sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The random experiment's sample spaces are written in curly brackets, "{ } ".

Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.

The elements of sample space are Q, R, S, and T.

The sample space is a set, thus write the elements in curly brackets.

The sample space is s = {Q, R, S, T}.

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Answer:

2y² + 12y + 18

Step-by-step explanation:

2(y + 3)²

First use formula (a + b)² = a² + 2ab + b² to expand (y + 3)²:

(a + b)²

(y + 3)²

y² + 2*y*3 + 3²

y² + 6y + 9

Dont forget the 2:

2(y² + 6y + 9) <== distribute and multiply

2y² + 12y + 18

Hope this helps!

Answer:

18.91 cm

Step-by-step explanation:

Let x represent the height of the flag pole

Tan= opposite/ adjacent

Tan 42°= x/21

x= Tan 42° × 21

= 0.9004 × 21

= 18.91 cm

Hence the height is 18.91 cm

Answer:

18.18%

Step-by-step explanation:

The box whisker starts from 15 and ends at 70

The range is [ 70 - 15 ] = 55

the range between 60 and 70 is 10.

so percentage of data values: \(\frac{10}{55} *100\) → 18.18%

The Percentage of the data values are between 60 and 70 is18.18%.

"A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, '%' "

"A data value is the content that fills a space in a record."

According to the question,

The box-and-whisker plot starts from 15 and ends at 70

Range = 70-15 = 55

The range between 60 and 70 is 10

Percentage of data values = \(\frac{10}{55}\)×\(100\)

= 18.18%

Hence, the percentage of data values are between 60and 70 is 18.18%.

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