Adam wants to learn more about a college basketball team. Which of the following is a statistical question Adam could ask? PLS HELP!

Answer:

x = 5

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

I don car e dry because I debt

Answer:

5 nights

Step-by-step explanation:

39 divided by 3 = 13

so we divided 65 by 13 hence your answer 5 nights

The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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Answer:

a=-2

Step-by-step explanation:

\(2(3a + 4) = - 8 \\( 2 \times 3a = 6a)(2 \times 2 = 4) \\ - 8 - 4 = - 12 \\ 6a \div - 12 = - 2\)

To determine the Carry (C) and Overflow (V) flags when adding the given decimal values using 4-bit registers, we need to convert the values to 4-bit binary representation and perform the addition. Here's the calculation for each case:

X = 2, Y = 3

Binary representation:

X = 0010

Y = 0011

Performing the addition:

0010 +

0011

0101

C (Carry) = 0

V (Overflow) = 0

X = 2, Y = 7

Binary representation:

X = 0010

Y = 0111

Performing the addition:

0010 +

0111

10001

Since we are using 4-bit registers, the result overflows the available bits.

C (Carry) = 1

V (Overflow) = 1

X = 4, Y = -5

Binary representation:

X = 0100

Y = 1011 (2's complement of -5)

Performing the addition:

0100 +

1011

1111

C (Carry) = 0

V (Overflow) = 0

X = -5, Y = -7

Binary representation:

X = 1011 (2's complement of -5)

Y = 1001 (2's complement of -7)

Performing the addition:

1011 +

1001

11000

Since we are using 4-bit registers, the result overflows the available bits.

C (Carry) = 1

V (Overflow) = 1

X = 2, Y = -1

Binary representation:

X = 0010

Y = 1111 (2's complement of -1)

Performing the addition:

0010 +

1111

10001

Since we are using 4-bit registers, the result overflows the available bits.

C (Carry) = 1

V (Overflow) = 1

Note: The Carry (C) flag indicates whether there is a carry-out from the most significant bit during addition. The Overflow (V) flag indicates whether the result of an operation exceeds the range that can be represented with the available number of bits.

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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:

x=7+ the square root of 85 /2  ,  x = 7- the square root of 85/2

Step-by-step explanation: hope I helped

Answer:

\(x = \frac{7 + \sqrt{85} }{2} \:\: or \:\: \frac{7 - \sqrt{85} }{2}\)

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

Quadratic Formula :-

For a quadratic equation ax² + bx + c = 0 , by using quadratic formula the roots of the equation are :-

\(x = \frac{-b + {\sqrt{b^2 - 4ac} } }{2a} \:\: or \:\: \frac{-b - \sqrt{b^2 - 4ac} }{2a}\)

__________________________________________________________

Lets solve the equation x² - 7x - 9 = 0 by quadratic formula.

\(=> x = \frac{-(-7) + \sqrt{(-7)^2 - 4 \times 1 \times (-9)} }{2 \times 1} \:\: or \:\: \frac{-(-7) - \sqrt{(-7)^2 - 4 \times 1 \times (-9)} }{2 \times 1}\)

\(=> x = \frac{7 + \sqrt{85} }{2} \:\: or \:\: \frac{7 - \sqrt{85} }{2}\)

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer:

420

Step-by-step explanation:

300+40% equals 420 so he earned 420 last month from the commission

Answer:

$120

Step-by-step explanation:

A 40% commission means he earns 40% of the total revenue. That's 40% of $300 in this case.

To convert from a percentage to a multiplier, divide by 100:

\(\frac{40}{100} =0.4\)

Then multiply the total revenue by that number:

\(300*0.4=120\)

Using probability the value of p + q = -0.4

Probability is the likelihood of an event.

Given the Venn diagram and that the probabilities are independent events.

The probability of A or B is given by

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Also, the probability of A and B is given by P(A ∩ B) = P(A)P(B)

So, we have that

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

From the Venn diagram, we have that

P(A) = p + q

P(B) = q + 0.6

P(A ∩ B) = q

P(A ∪ B) = 0.2

So, substituting these into the equation, we have that

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

0.2 = p + q + q + 0.6 -  q

0.2 = p + 2q - q + 0.6

0.2 - 0.6 = p + q

-0.4 = p + q

So, the value of p + q = -0.4

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The correct statement that assigns the value 1.667 to the array "fractions" at element 9 is not included in the options given.

It is important to note that arrays start counting from 0, so the 9th element would be at index 8. If there was a statement like "fractions[8] = 1.667", then that would be the correct answer.

However, since none of the options include the correct index, none of them are assigning the value 1.667 to the 9th element of the "fractions" array.

None of the options have the index of 9, and therefore cannot assign a value to that specific element

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Answer:

(2,-8)

Step-by-step explanation:

(2,-8)

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

Answer: -9

Step-by-step explanation:

5a+18 < -27

5a< -27-18

5a<-45

a< -45/5

a< -9

Answer:

OB

because domain is all X values that satisfy graph. And on graph X has all +ve values going to infinity.

When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.

Since the Function g is defined as g(x) = 2f(x – 4) + 3

So here OB should be considered as the domain of the all x values should satisfied the graph. Also, on graph X it contains the positive values that goes to infinity.

Hence, When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.

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the solution w = -36 is correct

The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:

Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.

Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.

Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.

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Answer:

Step-by-step explanation:

Answer:

Regular pentagon

Solve for perimeter

P=25cm

a Side

5

cm

To find the area of the surface generated when the curve y = (3x)^(1/3) for 0 ≤ y ≤ 5 is revolved about the y-axis, we can use the formula for the surface area of a solid of revolution.

The surface area is given by the integral:

A = 2π∫[a, b] x(y)√(1 + (dx/dy)^2) dy,

where x(y) is the inverse function of y = (3x)^(1/3), and a and b are the values of y that correspond to the range of the curve.

First, let's solve the equation y = (3x)^(1/3) for x:

y = (3x)^(1/3)

y^3 = 3x

x = (y^3)/3

Now, we need to find the range of y for the given curve. We are given that 0 ≤ y ≤ 5.

Using the inverse function x(y), the integral becomes:

A = 2π∫[0, 5] [(y^3)/3]√(1 + (dx/dy)^2) dy

Next, we need to find dx/dy:

dx/dy = d/dy [(y^3)/3]

= (3y^2)/3

= y^2

Now, substituting back into the integral:

A = 2π∫[0, 5] [(y^3)/3]√(1 + (y^2)^2) dy

Simplifying the integrand:

A = 2π∫[0, 5] [(y^3)/3]√(1 + y^4) dy

Integrating this expression will give us the surface area. However, this integral does not have a simple closed-form solution. Therefore, the exact answer in terms of π would involve the indefinite integral and cannot be expressed as a single number.

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the radius of the larger circle is 8 cm.

Let's denote the radius of the smaller circle as r and the radius of the larger circle as r+2 (since the larger radius is 2 centimeters more than the smaller radius).

The area of a circle is given by the formula A = πr^2, so the sum of the areas of the two circles is:

πr^2 + π(r+2)^2 = 100π

Expanding the second term and simplifying, we get:

πr^2 + π(r^2 + 4r + 4) = 100π

2πr^2 + 4πr - 96π = 0

Dividing both sides by 2π, we get:

r^2 + 2r - 48 = 0

This is a quadratic equation that we can solve using the quadratic formula:

r = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 2, and c = -48. Plugging in these values, we get:

r = (-2 ± sqrt(2^2 - 4(1)(-48))) / 2(1)

r = (-2 ± sqrt(4 + 192)) / 2

r = (-2 ± sqrt(196)) / 2

Taking the positive solution, we get:

r = (-2 + 14) / 2

r = 6

Therefore, the radius of the smaller circle is 6 cm. The radius of the larger circle is 2 cm more than the radius of the smaller circle, so it is:

r+2 = 6+2 = 8

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Rotation is the type of rigid transformation which is equivalent of two reflections across intersecting lines.

Define rigid transformation

A rigid  transformation is a transformation that persists the original size or shape of a given figure. Examples of rigid transformations are rotation, reflection etc;  

In mathematics a rigid transformation is also known as Euclidean Isometry or Euclidean transformation. Euclidean Isometry deals mainly with transformation of any figure. But, doesn't changes the length, shape or size of a given figure.

The concept of of two reflections across intersecting lines is equivalent to single rotation transformation of the original figure.  

Therefore the rigid transformation or Euclidean  isometry which is similar to two reflections across intersecting lines is rotation.  

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The outer diameter of the thin-walled pipe can be calculated by adding twice the thickness to the inner diameter. Therefore, the outer diameter is 0.5 in + 2(0.025 in) = 0.55 in.

A thin-walled pipe is a hollow cylinder with a relatively small thickness compared to its inner and outer diameters. In this case, the inner diameter of the pipe is given value as 0.5 in, and the thickness is 0.025 in.

To find the outer diameter, we add twice the thickness to the inner diameter. This is because the thickness is divided equally on both sides of the inner diameter. So, the outer diameter can be calculated as 0.5 in + 2(0.025 in) = 0.55 in.

The outer diameter is an important parameter in determining the overall size and structural integrity of the pipe. It affects the flow capacity, strength, and compatibility with other pipe fittings.

Knowing the outer diameter allows for proper sizing and fitting of the thin-walled pipe in various applications, such as plumbing, HVAC systems, or fluid transportation.

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Answer:

3,600

Explanation:

There's nine thousand numbers here, 4,500 of which are even, you will need to subtract mutiples of five from this number, making it even smaller.

subtract the non-even five's (exactly half of the 1800 hundred fives that fit in our little original number, (900!) ) 4,500-900= 3,600. Which should be your answer. :D

Step-by-step explanation:

Given

France won more gold medals than Italy and Italy won more gold medals than Korea.

total number of gold medals won by these three countries is three consecutive integers whose sum is 33

Find

number of gold numbers won by each.

Explanation

Let smaller number be x

so , three consecutive numbers are x , x + 1 , x + 2

according to the question ,

so , x = 10

x + 1 = 10 + 1 = 11

x + 2 = 10 + 2 = 12

Final Answer

Therefore ,

the number of golds won by korea = 10

the number of golds won by Italy = 11

the number of golds won by France = 12

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

Answer:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

Step-by-step explanation:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.