The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the game.

Number of free throws vs. Number of Points Scored
Number of free Throws Made (f) | Numbers of Points Scored (s)
5 15
3 11
8 20
7 18
9 21

Alex used a regression calculator to find the equation of the trend line y = a x + b for the data in the table. He rounded the values for a and b on his calculator as shown below.

a = 1.7
b = 6.2

Which trend line compares the data in the table?

s = 1.7 f + 6.2
s = 6.2 f + 1.7
f = 1.7 s + 6.2
f = 6.2 s + 1.7

Answer:

1500mm

Step-by-step explanation:

Multiply the length by 1000

therefore, 1.5×1000

Answer:

• One Fraction: 15/4

• Mixed Number:​ 3¾

Explanation:

There are 3 unit circles = 3.

The last circle is divided into 8 equal parts:

6 out of 8 parts are shaded = 6/8.

Therefore, the shaded amount as a mixed number is:

Next, express the fraction as one fraction.

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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9514 1404 393

Answer:

  π/360 radians/minute

Step-by-step explanation:

The angular velocity is ...

  (2π radians)/(12 h) = (π rad)/(6× 60 min) = π/360 rad/min

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

\((5x^3+4x^2)-(6x^2-2x-9)\)

Distribute the negative:

\(=(5x^3+4x^2)+(-6x^2+2x+9)\)

Rearrange the terms:

\(=(5x^3)+(4x^2-6x^2)+(2x)+(9)\)

Combine like terms. Hence:

\(=5x^3-2x^2+2x+9\)

Our answer is D.

The measures of the cylinder that has a diameter of 4 cm and height of 14 cm are:

i. circumference of the base = 6.29 cm.

ii. area of the base = 12.57 cm²

iii. volume = 176 cm²

The volume of a cylinder is calculated using the formula given as, volume (V) = πr²h, where:

Given the following:

i. The circumference of the base of the cylinder = πr = (22/7) * 2 = 44/7 = 6.29 cm.

ii. The area of the base of the cylinder = πr² = 22/7 * 2² = 88/7 = 12.57 cm²

iii. Volume of the cylinder = πr²h = 22/7 * 2² * 14 = 176 cm²

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The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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The given function is,

Answer:

Total revenue is the full amount of total sales of goods and services. It is calculated by multiplying the total amount of goods and services sold by their prices. Marginal revenue is the increase in revenue from selling one additional unit of a good or service.

Step-by-step explanation:

The expected number of investigators who will report that 3, 4, or 5 people are consumers of rice is 57 investigators.

The binomial distribution B(n, p) describes the behavior of a count X of successes in n independent trials, each with its own boolean-valued outcome: success (with probability p) or failure (with probability q = 1-p).

We want to find the probability that an investigator reports 3, 4, or 5 people are consumers of rice. The probability P(X=k) for a binomial distribution is given by the formula:

P(X=k) = C(n, k) * p^k * q^(n-k)

So we want to find P(X=3) + P(X=4) + P(X=5) :

P(X=3) = C(10, 3) * (0.5)^3 * (0.5)^(10-3)

= 0.117

P(X=4) = C(10, 4) * (0.5)^4 * (0.5)^(10-4)

= 0.205

P(X=5) = C(10, 5) * (0.5)^5 * (0.5)^(10-5)

= 0.246

The expected number of investigators who will report three or less of the people interviewed consumed is :

= P(X=3) + P(X=4) + P(X=5)

= 0.117 + 0.205 + 0.246

= 0.568

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Full question is:

Suppose that half the population of a town are consumers of rice. Each of 100 investigators interviews 10 individualas to see wheather they are consumers of rice. How many investigators do you expert to report that three or more but less than six people are consumers of rice?

The number of times the students on your floor order pizza in a week, population.

A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.

A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.

A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.

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The complete question is:

Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.

Answer:

1/4 a pint in each can

Step-by-step explanation:

honestly this is prob wrong anyways

Answer:

for 11 to be an integer, 11 has to be a whole number. Furthermore, for 11 to be an integer, you should be able to write 11 without a fractional or decimal component. 11 is a whole number that can be written without a fractional component, thus 11 is an integer

Step-by-step explanation:

The correct solution set for the given graph include the following: D. {infinite set of points on the line}.

In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

Generally speaking, the solution set of a graph simply refers to all of the points that lie on its line. By critically observing the graph of lines a and b, we can reasonably infer and logically deduce that they both have the same slope, solution set, as well as increasing and decreasing infinitely.

In this context, the correct solution set lies in both Quadrant II and Quadrant III because both lines move towards negative and positive infinity i.e [-∞, ∞].

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Answer:

23 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle = 180

z + 62 + 95  = 180

z = 23 degrees

Answer:

4

Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

Answer:1.225km is equal to each laps

Step-by-step explanation:

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

x = -1

Step-by-step explanation:

To solve this, we want to isolate x:

9 - 15x = 28 + 4x

Subtract 9 from both sides:

-15x = 19 + 4x

Subtract 4x from both sides:

-19x = 19

Divide both sides by -19:

x = -1

Answer:

48

Step-by-step explanation:

12*4=48

substitute y for the given value

Answer:

48

Step-by-step explanation:

12y

Let y=4

12*4 = 48

First, we are going to draw a picture for the problem

We can formulate the following equation, given that we can use triangle similarity theorem.

Replacing the values we have

Isolating x, we get x is equal to 19.4 ft, which is the height of the post.

Answer:

2.211 gallon of rainwater

Step-by-step explanation:

1.46 gallon + 0.751 gallon = 2.211 gallon

Answer:

Step-by-step explanation:

You want the solution to right triangle RST with RS = 15, R = 72°, T = 90°.

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse   ⇒   r = 15·sin(72°) ≈ 14.3

  Cos = Adjacent/Hypotenuse   ⇒   s = 15·cos(72°) ≈ 4.6

The acute angles in a right triangle are complementary, so ...

  S = 90° -R = 90° -72° = 18°

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

Answer:

60 students

Step-by-step explanation:

96/6=16=96-16=80/4=20=80-20=60

Answer:

(5x+12) (5x-12)

Step-by-step explanation:

Use the difference of squares fromula. \(a^{2} -b^{2} =(a+b)(a-b)\)

Where a = 5x and b =12.

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

multiply the diameter of the circle with π (

Step-by-step explanation:

Answer:

Approximate Irrational Numbers (solutions, examples, videos ...www.onlinemathlearning.com

Step-by-step explanation:try this it might help

Answer: The answer would be 10.4

Step-by-step explanation:

I know this because you would do 10 x 10.4 = 104  104-4=100  100 ÷ 5 = 20