Suppose that among the 5000 students at a high school, 1200 are taking an online class and 1700 prefer watching basketball to watching football. Taking an online class and preferring basketball are independent. How many students are taking an online course and prefer basketball to football

Answer:

which one?

Step-by-step explanation:

Answer:

q9:20cm q10:17 dice can fit in and you have 4cm3 space remaining

Step-by-step explanation:

1L= 1000cm3

base=50cm2

base=5x10

1000/50=20cm

height =20 cm

5x10x20=1000cm3=1L

Question 10:dice=2x2x2=8cm3

box=5x4x7=140cm3

answer=140/8

answer=17.5 meaning we can fit 17 full dice into the box

The space we have left is 4cm3

Answer:

n

Step-by-step explanation:

Answer: A. 5/99

Step-by-step explanation: This is bc it is repeating and 5 is an odd number.

(a) Yes, we have enough information to compute Probability P(A or B).

(b) If we know P(A) and P(B), we have enough information to compute P(A or B).

(a) The probability of the union of two events (A or B) is given by the formula P(A or B) = P(A) + P(B) - P(A and B)

We know P(A) and P(B), but we don't know P(A and B) - the probability that both events occur simultaneously. Therefore, we cannot compute P(A or B) with certainty unless we are given additional information about the relationship between A and B.

(b) If we know that events A and B are mutually exclusive, then we have enough information to compute P(A or B). Mutually exclusive events are events that cannot occur simultaneously, which means that P(A and B) = 0.

In this case, the formula for the probability of the union simplifies to:

P(A or B) = P(A) + P(B)

Since we know P(A) and P(B), we can simply add them to obtain P(A or B). Therefore, in this case, we have enough information to compute P(A or B).

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The first three nonzero terms of the Maclaurin series for f is f(x) = x^2 + 0x^3/3! + 0x^4/4!

We can use the formula for the Maclaurin series of a function to find the first few nonzero terms of the series for f:

f(x) = f(0) + f'(0)x + f''(0)x^2/2! + f'''(0)x^3/3! + ...

Since f(0) = 0, the first term of the series is 0. We can find the higher order derivatives of f as follows:

f'(x) = 2x cos(x^2)

f''(x) = 2 cos(x^2) - 4x^2 sin(x^2)

f'''(x) = -12x cos(x^2) - 8x^3 cos(x^2)

Evaluating these derivatives at x = 0 gives:

f'(0) = 0

f''(0) = 2

f'''(0) = 0

Substituting these values into the formula for the Maclaurin series, we get:

f(x) = 0 + 0 + 2x^2/2! + 0 + ...

Simplifying, we get:

f(x) = x^2

So the first three nonzero terms of the Maclaurin series for f are:

f(x) = x^2 + 0x^3/3! + 0x^4/4! + ...

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Answer:

45

Step-by-step explanation:

KL- because triangle is a isosceles

(base angles are congruent)

I think it's a

Step-by-step explanation:

associative property means you can change what ever is in the ()

Answer:

Step-by-step explanation:

If PQRS are points on a circle with the centre O, PS is a diameter of the circle Angle PQR=136, the measure of angle RPS is 88 degrees.

Since QR is parallel to PS, we can use alternate interior angles to determine that angle QPS is equal to angle PQR. This means that angle QPS is also 136 degrees.

Angle PQR and angle QPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

We can use this fact to find the measure of angle RPS. First, we know that the sum of angles in a quadrilateral is 360 degrees. Therefore, we can find the measure of angle PSR as follows:

Angle PSR = 360 degrees - Angle PQR - Angle QPS

Angle PSR = 360 degrees - 136 degrees - 136 degrees

Angle PSR = 88 degrees

Next, we use the fact that angles at the circumference of a circle subtended by the same arc are equal. Angle PSR and angle RPS both subtend the same arc, which is the arc between points P and R on the circle. Therefore, the two angles are equal.

Angle RPS = Angle PSR = 88 degrees

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Complete question is:

PQRS are points on a circle with the centre O PS is a diameter of the circle Angle PQR=136 Work out the size of angle RPS

Answer:

two ratios

Step-by-step explanation:

you need two to be able to solve it

Answer:

2 ratios

Step-by-step explanation:

Answer:

10x-15y

Step-by-step explanation:

So, when they say use the distrubutive property, they basically mean turning this:

a(b+c)

Into this:

ab+ac

So in this case, it would be:

5(2x-3y)

And we will turn it into:

10x-15y

ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:

2x*5

=

10x

And

-3y*5

=

-15y

Then we can combine these two:

10x-15y

Hope this helps!

The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.

A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.

A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.

A rectangular prism is a three-dimensional shape, having six faces, where all the faces are rectangles.

The longitudinal section perpendicular to the base of a rectangular prism is a rectangle.

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The average time it takes to rent a video tape is 0.141 minutes.

Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.

Thus, the average time it takes to rent a video tape is 0.141 minutes.

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Yes, the point (-5,3)  satisfy the inequality 3x+2y<12.

What is inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

The expressions on both sides of an inequality sign aren't equal. It means that the expression on the left- hand side should be lesser than or lower than the expression on the right- hand side or viceversa.

However, also it's called non fictional inequalities, If the relationship between two algebraic expressions is defined using the inequality symbols.

Still, “< ”, “ ≥ ”, “ If two real figures or the algebraic expressions are related by the symbols “> ”. ”

We have an expression;

3x + 2y < 12

We have point (-5, 3);

So, for checking the statisfaction of inequality we have to put the point in the expression;

Here, x = -5 and y = 3

so, 3(-5) + 2(3) < 12

     -15 + 6 < 12

      -9 < 12

Which is true.

Hence, we see the clearly that it the points (-5,3) satisfies the given expression 3x + 2y < 12.

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Answer:

Answers below

Step-by-step explanation:

1. The first expression tells the total number of students as well as the male students.  This means you only have to subtract to find the female number

7x^2+8x-16-(3x^2+14); Simplify

4x^2+8x-30, if you wanted it factored then if would be this;

2(2x^2+4x-15).

2. For this one you add the polynomials.

x^2-9x+11+2x^2+4x-5; Simplify

3x^2-5x+6

3. Ok, for this one you have the number of miles traveled on Monday and Tuesday ( x^2+8x-13+(x^2+10)) and the total numbers traveled from Mon.-Wed (2x^2+20x+19).  So, you first need to add Monday and Tuesday and then subtract that amount from the total of miles on Mon.-Wed.

( x^2+8x-13+(x^2+10))

=2x^2+8x-3

2x^2+20x+19-(2x^2+8x-3)

=12x+21, or if you wanted it factored;

3(4x+7)

slope = y2-y1/x2-x1

slope = 11-7/4-2

slope = 4/2

slope = 2

Answer:

(x,-y): (2,-2)

Step-by-step explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

\( \frac{3x - 4}{2} \)

This implies:

\(1 = \frac{3x - 4}{2} \)

\(3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2\)

In a similar way,

\(4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2\)

The question demanded (x,-y)

Hence(2,-2) is the answer

Answer:

Step-by-step explanation:

Given:

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken=?

Now,

P=x/n

P=124/400

P= 124/4×100

P= 32/100

P= 0.32 or 32%

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0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

Estimate of Proportion: If we divide the random variable, the mean, and the standard deviation by n, we get a normal distribution of proportions with P′, called the estimated proportion, as the random variable. (Recall that a proportion as the number of successes divided by n.)

a simple random sample of 400 individuals provides 124 yes responses

The point estimate of individuals that would provide yes responses is the sample proportion.

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken

The sample proportion is calculated by dividing number of yes responses by sample size

p = x/n = 124/400= 0.31 or 31%

0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

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Answer:

Yes, this is a function because none of the y values have 2 x values connected to them.

Answer:

  2/15

Step-by-step explanation:

You want to know the fraction that is 2/3 of 1/5.

In this context, "of" means "times."

  2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15

2/15 of the pets are alley cats.

Answer:

The domain is -418 < a < 8848 where a is an integer.

Step-by-step explanation:

We see from the data given that the  domain of T(a) takes both positive and negative integer values ( 8848 meters and  -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).

So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.

Answer:

because its 5 squared, therefore, the first number can not be a sqaure number

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5^9

The power is an odd number

To be a perfect square, the power has to be an even number

The total discount tickets sold are 8460 tickets.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.


The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.


We have that,
94% = 94/100
       = 0.94

By multiplying the tickets sold by the factor of 0.94, we get

0.94 × 9000
8460 tickets

The total discount tickets sold are 8460 tickets.

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The matrix corresponding to the relation {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)} can be constructed by considering the elements of the relation as entries in the matrix.

We have a set of distinct elements {1, 2, 3, 4}. The rows of the matrix represent the first element of each ordered pair, and the columns represent the second element. If an ordered pair (a, b) exists in the relation, then the corresponding entry in the matrix will be 1; otherwise, it will be 0.

Constructing the matrix:

       1   2   3   4

   1   0   1   1   1

   2   0   0   1   1

   3   0   0   0   1

   4   0   0   0   0

This is the matrix corresponding to the given relation {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}. The entry in row i and column j is 1 if the ordered pair (i, j) exists in the relation, and 0 otherwise.

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The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

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Answer:

This is the answer. a=-12/2+b

In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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Answer (25-30 words): In point 7 and 8, the concept of surveys is repeated because research techniques refer to the overall approach, while data collection specifically focuses on the method used to gather data.

In research methodology, point 7 refers to the research techniques employed, which in this case is surveys. Surveys are a common method for gathering data in quantitative research. Point 8, on the other hand, specifies the data collection process, which again involves the use of surveys. While it may seem repetitive to mention surveys twice, it is important to differentiate between the broader research technique (point 7) and the specific method used to collect data (point 8).

The research technique, surveys, encompasses the overall approach of using questionnaires or interviews to collect data from respondents. It represents the methodology chosen to gather information. On the other hand, data collection focuses on the actual process of administering the surveys and collecting responses from the target population.

By including both points, the outline or concept map reflects the distinction between the research technique (surveys) and the specific step of data collection using surveys. This ensures clarity and precision in describing the methodology.

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