The table shows the relative frequencies of the ages of students at a high school.
Age (years]
13
14
15
16
17
18
Total
Relative frequency
0.08
0.12
0.18
0.22
0.27
0.13
1
a A student is randomly selected from this school. Find the probability that:
i the student is 15 years old il the student is 16 years of
age or older.



Help please with all of this tasks!!

Answer:

m=3

Step-by-step explanation:

rise/run or y/x

using the y coords/x coords

15-0/-3-(-8)

=15/-3+8

=15/5

=3

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

its c

Step-by-step explanation:

i just too quiz and it siad this

Answer:

c

Step-by-step explanation:

took the quiz and got 100% on it

Given:

The parent sine function is \(f(x)=x^2\).

It shifts three units to the left and four units down.

To find:

The new function.

Solution:

The translation is defined as

\(f_1(x)=f(x+a)+b\)                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Graph shifts 3 units to the left. So, a=3.

Graph shifts 4 units down. So, b=-4.

Putting a=3 and b=-4, we get

\(f_1(x)=f(x+3)-4\)

\(f_1(x)=(x+3)^2-4\)          \([\because f(x)=x^2]\)

Here, new function is also defined by f(x). So, \(f(x)=(x+3)^2-4\).

Therefore, the correct option is d.

y = -2x - 3/2 is the equation of the line parallel to the line -3x + 6y = 7 and having the same y-intercept as -8x - 2y = 3.

To find the equation of a line perpendicular to another line, we need to know the slope of the original line. We can rewrite the original line as:

6y = 3x + 7

y = (1/2)x + 7/6

The slope of this line is 1/2. To find the slope of the line perpendicular to this, we can take the negative reciprocal:

slope of perpendicular line = -1 / (1/2) = -2

So, we know that the equation of the perpendicular line will have a slope of -2. We also know that it has the same y-intercept as the line -8x - 2y = 3. To find the y-intercept of this line, we can set x = 0 and solve for y:

-2y = 3

y = -3/2

So, the y-intercept of the perpendicular line is -3/2.

Now we can use the slope and y-intercept to write the equation of the perpendicular line in slope-intercept form:

y = mx + b

where m is the slope (-2 in this case) and b is the y-intercept (-3/2 in this case).

Therefore, the equation of the line perpendicular to the line -3x + 6y = 7 and with the same y-intercept as -8x - 2y = 3 is y = -2x - 3/2

Learn more on equation of perpendicular lines here: https://brainly.com/question/7098341

#SPJ1

Answer:

  4x +2y = -3

Step-by-step explanation:

You want an equation for the line perpendicular to the line -3x +6y = 7 having the same y-intercept as -8x -2y = 3.

The y-intercept of the given line can be found by setting x=0 and solving for y:

  -8(0) -2y = 3

  y = 3/-2 = -3/2

Perpendicular lines have slopes that are the opposite reciprocal of one another. That means we can write the equation of the perpendicular line by swapping the x- and y-coefficients and negating one of them. We want the leading coefficient to be positive, so our perpendicular line will have the equation ...

  6x +3y = constant

We know from the above that the constant will be the coefficient of y multiplied by the y-intercept:

  6x +3y = (3)(-3/2) = -9/2

Multiplying by 2/3 puts this equation in standard form with all coefficients mutually prime integers and the leading coefficient positive:

  4x +2y = -3 . . . . . line perpendicular to -3x+6y=7 through (0, -3/2)

Answer:

your answer is 0.4

Step-by-step explanation:

you can look for persentage calculators in

Answer:

Let the percentage be x%

\(x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}\)

The height of a juice cylinder container with base area of 100 cm² and volume of 1500 cm³ is 15 cm

Base area = πr²

base area = 100 cm²

100 = π × r²

r² = 100 / π

r = √100 / π

volume = πr²h

1500 = π (√100 / π)² × h

1500 = π(100 / π) × h

1500 = 100h

divide both sides by 100

h = 1500 / 100

h = 15 cm

learn more on cylinder here: https://brainly.com/question/27342403

To find a function that satisfies the given criteria, we can start by determining the requirements for its derivative, f'(x).

Let's break down the given properties and find the corresponding requirements for f'(x): f(x) is decreasing at x = -6: This means that the slope of the function should be negative at x = -6. Therefore, f'(-6) < 0. f(x) has a local minimum at x = -3: At a local minimum, the slope changes from negative to positive. Thus, f'(-3) = 0. f(x) has a local maximum at x = 3: At a local maximum, the slope changes from positive to negative. Hence, f'(3) = 0.

Now, let's integrate f'(x) to obtain f(x): Integrating f'(x) = -6 < x < -3 will give us a decreasing function on that interval. Integrating f'(x) = -3 < x < 3 will give us an increasing function on that interval. Integrating f'(x) = 3 < x < 6 will give us a decreasing function on that interval. To simplify the process, let's assume that f'(x) is a quadratic function with roots at -6, -3, and 3. We can represent it as: f'(x) = k(x + 6)(x + 3)(x - 3), where k is a constant that affects the steepness of the curve. By setting f'(-3) = 0, we find that k = -1/18.

Therefore, f'(x) = -1/18(x + 6)(x + 3)(x - 3). Integrating f'(x) will give us f(x): f(x) = ∫[-6,x] -1/18(t + 6)(t + 3)(t - 3) dt. Evaluating this integral is a bit complicated. Let's denote F(x) as the antiderivative of f(x): F(x) = ∫[-6,x] -1/18(t + 6)(t + 3)(t - 3) dt. Now, we can find f(x) by differentiating F(x): f(x) = d/dx[F(x)]. To get an explicit equation for f(x), we need to calculate the integral and differentiate the resulting antiderivative. Once you have the equation for f(x), you can plot it on the provided graphing option to verify that it matches the criteria mentioned in the question.

To learn more about derivative, click here: brainly.com/question/2159625

#SPJ11

x=8 is the equation for a vertical line passing through this place and y=7 is the equation for a horizontal line traveling through this place.

It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation seems to be a statement that has nearly identical sides and an equality sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a mathematical expression is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.

given

The value of x, in this case 8 for a vertical line, is constant. For whatever value of y, this will hold true. In light of this,

x=8 is the equation for a vertical line passing through this place.

The value of y, in this case 7, will also never change for a horizontal line. For whatever value of x, this will hold true. In light of this,

y=7 is the equation for a horizontal line traveling through this place.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

34 & 34

Step-by-step explanation:

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

1

Step-by-step explanation:

(5x) ^0 =1

every power zero is 1

Te equation -15 = 1/5x can be solved to find the value of X

which is -75.

Answer:

126°

Step-by-step explanation:

the total max percent can be 100%

OR

The total value of the pie is 100%

that means all sectors must add upto 100

=> x + x + 21 + 9 = 100

=> 2x + 30 = 100

=> 2x = 70

=> x = 35

therefore, the two large sectors which are both equal to x each represents 35% of the whole.

Angle subtended by one of those large sectors :-

\( \theta = \frac{component \: part}{total} \times 360\)

\( = \frac{35}{100} \times 360 \\ = 126\)

therfore, the central angle of the big sector is 126°

The area of the figure is 102 square inches.

To find the area of the figure, we need to first calculate the area of the rectangle and then the area of the triangle and add them together.

Area_rectangle = length x width

= 15 in. x 5 in. = 75 in²

The base of the triangle is the same as the length of the rectangle minus the distance from the vertex.

i.e. 15 in. - 3 in. = 9 in.

The height of the triangle is 11 in - 5 in = 6 in

Area_triangle = (1/2) x base x height

= (1/2) x 9 in. x 6 in. = 27 in²

Therefore, the required total area is the sum of the area of the rectangle and the area of the triangle

Total_area = Area_rectangle + Area_triangle

= 75 in² + 27 in² = 102 in²

So, the area of the figure is 102 square inches.

Hence, option d is correct.

Learn more about Area of Rectangle here

https://brainly.com/question/24943955

#SPJ4

Answer:

Common Difference: \(-\frac{1}{2}\)

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or \(-\frac{1}{2}\), and we can conclude that \(n^{th}\) number is \(3 - 0.5(n-1)\). So the 9th term is,

\(3 - 0.5(9 - 1)\\= -1\)

Answer:

The balance will be $25,525.63125 after 5 years

Step-by-step explanation:

The formula of the compounded interest is A = P\((1+\frac{r}{n})^{nt}\) , where

∵ Your friends' parents invest $20,000 in an account

∴ P = 20,000

∵ The account pays 5% compounded annually

∵ r = 5% ⇒ divide it by 100 to change it to decimal

∵ 5% = 5 ÷ 100 = 0.05

∴ r = 0.05

∵ n = 1 ⇒ compounded annually

∵ The time is 5 years

∴ t = 5

→ Substitute these values in the formula above

∵ A = 20,000\((1+\frac{0.05}{1})^{1(5)}\)

∴ A = 20,000\((1.05)^{5}\)

∴ A = 25,525.63125

∴ The balance will be $25,525.63125 after 5 years

Answer:

1

Step-by-step explanation:

The first step is to graph the line 2x + y = -8. To do this, we can graph the x and y-intercepts. Letting x = 0, we get y = -8, so the y-intercept is -8. Letting y = 0, we get 2x = -8, so x = -4.

Graph the line between the points (-4, 0) and (0, -8). The line should be dotted, because this is a strict inequality (the points on the line are not part of the solution).

The next step is to substitute a point - I like to use (0,0): when x and y are equal to zero, we have 2(0)+0>-8, which is true. Therefore, the right side of the graph (which contains the point (0,0)) should be shaded. Note: If the inequality was not true, you would want to shade the opposite side of the graph.

The required operating time, total expense and receipt are 33hours, $759 and $759 respectively.

How to get hours in operation?

It is time taken by worker or operator to operate particular work.

We have given,

Spend money = $594

Average hourly operating cost = $5.

Average hourly receipt = $23

Let time taking in operation be h,

594 + 5h = 23h

18h = 594

h = 33 hours.

and

Total expense = 23h =$23(33) =$ 759

receipt =594 + 5h = 594 + 5(33) = 594 + 165 =$ 759  

To know more about such problems visit:

brainly.com/question/15340173

#SPJ4

Answer:

the answer is 0.5.(a option is correct)

Step-by-step explanation:

first we add 1.09+1.86

=2.95

now we subtract 2.95-1.10

the answer will be 1.85

no we subtract 1.85-1.28

the answer will be 0.5.

Answer:

(4,11), (6,14), and (30,50)

Step-by-step explanation:

Graph the points, find the slope and write an equation.

Answer:

1st, third, and last one

Step-by-step explanation:

Answer:

90 degrees

explanation: angle 1 is a right angle

a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

Answer: then Tom has 21$

Step-by-step explanation:the ratio is just a fancy way of saying Tom has 7 dollars for every 13 dollars bill has so if bill has 39 dollars 39 dollars divided by 13 is 3 meaning Tom would do 7x3

Answer: 220 miles

Step-by-step explanation:

Car goes 55 miles in 1 hour.  

Constant speed.  

Formula is 55t = d.  

55 x 4 = 220 miles

Answer:

the guy above is right

Step-by-step explanation:

In the expression 2*4 + 3y, the coefficient of y is 3. The coefficient is the number next to the variable.

Answer:

9.9

Step-by-step explanation: