1960 were polled. 279 of them preferred Rock and Roll. What is the % of these students?​

Answer:

-4(5)+1(-2*-5+5*3)

Step-by-step explanation:

-20+1(10+15)

-19(25)

-475

Answer:

5

Step-by-step explanation:

Given :- a = -2 , b = 5 , c = -5 & d = 3

Solution :-

The piecewise linear equation is y = -0.556x - 2.444, -8 ≤ x ≤ 1, y = 1.333x - 4.333, 1 < x ≤ 4 and y = -0.667x - 3.667 4 < x ≤ 10

From the question, we have the following parameters that can be used in our computation:

X: -8, 1, 4, 10

Y: 2, -3, 1, -3

In the interval [-8, 1], we have

X: -8, 1

Y: 2, -3

A linear equation is represented as

y = mx + c

Using the points, we have

-8m + c = 2

m + c = -3

So, we have

m = -0.556

c = -2.444

So, we have

-0.556x - 2.444, -8 ≤ x ≤ 1

In the interval (1, 4], we have

X: 1, 4

Y: -3, 1

Using the points, we have

m + c = -3

4m + c = 1

So, we have

m = 1.333

c = -4.333

So, we have

1.333x - 4.333, 1 < x ≤ 4

In the interval (4, 10], we have

X: 4  10

Y: 1   -3

Using the points, we have

4m + c = 1

10m + c = -3

So, we have

m = -0.667

c = 3.667

So, we have

-0.667x - 3.667 4 < x ≤ 10

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Answer:

0.8 = 80% probability that they did in fact study for the test.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Passed the exam.

Event B: Studied.

Probability of passing the test:

80% of 60%(Studied).

30% of 100 - 60 = 40%(did not study). So

\(P(A) = 0.8*0.6 + 0.3*0.4 = 0.6\)

Probability of passing the test studying:

80% of 60%, so:

\(P(A \cap B) = 0.8*0.6 = 0.48\)

Find the probability that they did in fact study for the test with this knowledge in hand.

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.48}{0.6} = 0.8\)

0.8 = 80% probability that they did in fact study for the test.

Answer:

D. 17 to 9

Step-by-step explanation:

I calculated it logically

Answer:

The frequency of B in the C major key can be found in the table, and it is 494 Hz.

The frequency of middle C is 262 Hz.

So the ratio of the frequency of B to middle C is:

494 Hz / 262 Hz ≈ 1.886

To express this as a simple integer ratio, we can divide both 494 and 262 by their greatest common factor, which is 2:

494 Hz / 2 = 247 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of B to middle C is:

247 Hz / 131 Hz = 19/10 ≈ 1.9

This ratio is closest to 2, but we need to express it as a simple integer ratio. The closest simple integer ratio is 19 to 10.

Therefore, the answer is (D) 17 to 9

The expressions that will correctly calculate what percent 19 is of 20 are:

A.19/20 .100

D.19.100/20

The concept that will be used here is percentage. A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

From the options we can see that to find the percentage of 19  of 20, iot can be expressed mathematically as :

(19/20) *100 and this can as well be expressed as (19*100)/20 becausethey will still give use the same value which is 95%

Therefore, option A and D are correct.

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Answer:don’t understand number 5??

Step-by-step explanation:

?

Step-by-step explanation:

Answer:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.

In this case, (x1, y1) = (4.25, 6.25) and (x2, y2) = (22, 6.25).

Plugging these values into the distance formula, we get:

distance = sqrt((22 - 4.25)^2 + (6.25 - 6.25)^2)

= sqrt(17.75^2 + 0^2)

= sqrt(315.0625)

= 17.75

Therefore, the length of the line segment is 17.75 units.

Answer:

There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Step-by-step explanation:

Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. \(z_{\frac{\alpha}{2} }=1.96\)

The margin of error (E) is given by:

\(E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.96*\frac{12.4}{\sqrt{15} }= 6.28\)

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)

The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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The standard deviation of the number of toys donated by juniors is greater than that of seniors.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

For the seniors, the mean is given as,

Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10

σ = 14.28

For the juniors, the mean is given as,

Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10

σ = 13.19

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

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The complete question is given below.

Answer:

\(x > - 12\)

Step-by-step explanation:

\( - \frac{1}{2} x > 6 \\ \frac{ - \frac{1}{2} }{ - \frac{1}{2} } x > \frac{6} { - (\frac{ 1}{2} )} \\ x > 6 \times - \frac{2}{1}\)

Therefore:

\(x > - 12\)

Answer:

x=6,2

Step-by-step explanation:

Answer:

The  angle of depression from Platform A to Platform B is \(43.1^{\circ}\)

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

\(Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}\)

Hence  the  angle of depression from Platform A to Platform B is \(43.1^{\circ}\)

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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Here you go.

The answer is A
II Only

Answer:

34

Step-by-step explanation:

3rd and 5th square numbers means 3² and

5² .

so we know 3² is another word of saying 3×3

3×3=9

5×5=25

9+25=34

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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We have the equation:

We can start by dividing both sides by 5:

Now, we can add 3 to both sides:

And we solved it.

Answer:

g(-2)=3

g(0)=-5

g(3)=2

Step-by-step explanation:

g(-2)= -2(-2)+ 3(-2) - 5

4-6-5

2-5

g(-2)=3

g(0)= -2(0) + 3 (0)-5

0+0-5

g(0)=-5

g(3)= -2(3) + 3(3)-5

-6+9-5

3-5

g(3)=2

Answer: g(-2)=-7, g(0)=-5, g(3)=-2

Step-by-step explanation: g(x)=-2x+3x-5

g(-2)=-2(-2)+3(-2)-5=-7

g(0)=-2(0)+3(0)-5=-5

g(3)=-2(3)+3(3)-5=-2

Step-by-step explanation:

so what you're going to want to do is set this equal to 0. add the 6 over. add the 30 over. subtract 16x-14x they have the same degree of power so you can do that. divide the coefficient of x over and x=12 maybe who really knows anymore

[-9, 7]

The domain describes the x-values contained in a graph.

Finding the Domain

As stated above, the domain shows the x-values that are covered by a function. The x-values are listed on the horizontal axis. Starting on the left, the x-values range from -9 to 7. Additionally, the circles on points -9 and 7 are both closed. This means that both of the values are included within the domain.

Interval Notation

There are different ways to write a domain. One way is interval notation. In this notation, the minimum x-value is listed, then the maximum x-value is listed. If the min and max values are included, then surround the values with brackets. If they are not included, then use parentheses.

In the graph above, the minimum domain value is -9 and the max is 7. Since both are included, the interval notation for the domain is [-9, 7].

Answer:

220/7

Step-by-step explanation:

circumstance/diameter = 22/7

circumstance = diameter * 22/7  

=10 * 22/7 = 220/7 (inches)

Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368