16. Jamal keeps a log every day on the daily number of steps he walks. He wants to find the typical amount of steps he walks daily. What type of data display should Jamal use to display the data? Explain.

Daily steps : 3500 , 4500 , 2000 , 2500 , 5000 , 5250 , 9000​

Let

x

represent the

price of one New York style

cheesecake

and

y

the price of

one apple cheesecake

. Based on the information provided, we can construct two equations:

7x + 4y= 116

8x + 12y = 244

We can

solve

for

x

in terms of

y

using the first equation:

7x= 116-4y\sx= (116-4y) / 7

When we plug this expression into the

second equation

for

x

, we get:

8[(116 - 4y) / 7] + 12y = 244

To

eliminate

the fraction,

multiply both sides by 7

.

8(116 - 4y) + 84y = 1708

Extending the parentheses and combining similar terms yields:

928-32y + 84y= 1708

When we simplify, we get the following:

52y = 780

When we

divide both sides by 52

, we get:

y = 15

We now know that

y = 15

; we can use either of the original equations to solve for x:

7x + 4(15) = 116

7x = 56

x = 8

Therefore, one

New York cheesecake costs $8

, and

one apple cheesecake costs $15

.

Find more equations like question

https://brainly.com/question/17145398https://brainly.com/question/17145398

Answer:

Step-by-step explanation:

This question doesn't say how much her lunch cost.

The value fo x is 4 and the angle is 45 degrees

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

The rectangle

The diagonals of a rectangle bisect each other

Using the above as a guide, we have the following:

2 * (3x + 6) = 5x + 16

So, we have

6x + 12 = 5x + 16

Evaluate the like terms

x = 4

Next, the diagonals of rectangle bisect the angles

So, we have

IHE = 45 degrees

Read more about rectangle at

https://brainly.com/question/25292087

#SPJ1

All of Ben's expressions are erroneous since none of them equal the number 108 degrees. The correct equation is (n-2) x 180 / n.

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides or edges are created by connecting end to end segments of a straight line to create a closed shape. Vertex or corners refers to the intersection of two line segments, which produces an angle.

In a regular polygon, where n is the number of sides, the formula for measuring an interior angle is (n-2) x 180 / n.

An internal angle in a pentagon has a measure of (5-2) x 180 / 5 = 108 degrees.

Substituting the angle in Ben's expression:

xᵒ + (x + 40)° + (2x - 30)° + 3(x - 40)° + 3x°

9x - 27° = 108

We observe that none of the value of x results in 108 degrees.

Hence, all of Ben's expressions are erroneous since none of them equal the number 108 degrees.

Learn more about polygon here:

https://brainly.com/question/17756657

#SPJ1

Answer:

5 hours

Step-by-step explanation:

You can use a simple equation for this problem, speed times time is distance. s * t = x. In this case, the distance, x, is 320 and the speed, s, is 64. We can move the s from the equation around and get t = x/s. So time = 320/64 which is 5 hours.

Answer: 5.25

Step-by-step explanation:

     First, a percent divided by 100 is a decimal.

15% / 100 = 0.15

     Next, we are finding 15% of 35. In mathematical terms, "of" usually represents multiplication. We will multiply 0.15 by 35 to find 15% of 35.

0.15 * 35 = 5.25

If I understand your question correctly, pure water is 0% alcohol, so by adding water, this will dilute your 15% alcohol solution and lower the percentage of alcohol in the solution.

Many word problems are set up like "You have some amount of 15% alcohol solution and you add some pure water.  You end up with some other amount of the diluted mixture.  How much 15% alcohol solution and how much pure water were mixed."  

For those ones, use 0% alcohol for your pure water.

Answer - The value of cos 2.240 degrees comes out to be 0.9992.

To determine the value of cos 2.240 degrees, we can use the following steps: Convert the angle from degrees to radians. To do this, we can use the formula: radians = degrees * π/180. Plugging in the given angle, we get: radians = 2.240 * π/180 = 0.0391 radians

Use the cosine function to find the value of cos 2.240 degrees.- The cosine function is defined as cos(x) = adjacent/hypotenuse, where x is the angle in radians.- Plugging in the angle in radians that we found in Step 1, we get: cos(0.0391) = adjacent/hypotenuse

Use a calculator to find the value of cos(0.0391).- Using a calculator, we find that cos(0.0391) = 0.9992. The value of cos 2.240 degrees is 0.9992.

Know more about cosine function here:

https://brainly.com/question/17954123

#SPJ11

Answer: kdsl.dmcs

Step-by-step explanation:

(A). The largest target is Target B since it has the widest radius. (B). The size of Object A is around 44 inches around. (C). Target C has a surface area of around 254 square inches.

The length of a circle and perhaps other circular geometric object is referred to as its circumference. Anything in a double circular shape that is linear in one dimension is the perimeter.

A). We must contrast the radii of the three objects in order to compare their sizes.

Target A consists of a radius of 7 inches and a width of 14 inches.

The radius of Target B is 10 inches.

Target C has a circumference of 18π inches, so we can use the formula C = 2πr to find its radius:

18π = 2πr

r = 9 inches

Target B is the main market since it has the greatest radius.

B). The circumference of a circle is given by the formula C = 2πr, where r is the radius. For Target A, r = 7 inches, so:

C = 2πr

C = 2π(7)

C ≈ 44 inches (using 3.14 to approximate)

Target A's circumference is therefore around 44 inches.

C). The area of a circle is given by the formula A = πr², where r is the radius. For Target C, we know its circumference is 18π inches, so we can use the formula for circumference to find its radius:

C = 2πr

18π = 2πr

r = 9 inches

Target C's area is as follows because of its 9-inch radius:

A = πr²

A = π(9)²

A ≈ 254 square inches (using 3.14 to approximate)

Target C therefore has a surface area of around 254 square inches.

To know more about Circumference visit:

https://brainly.com/question/20489969

#SPJ1

The length of side 'g' is approximately 61.54 inches.

A triangle is a 2-dimensional geometric shape that consists of three line segments or sides and three angles. It is one of the simplest polygonal shapes and is often used in mathematics and geometry to illustrate basic concepts such as area, perimeter, angles, and congruence.

To find the length of side 'g' of ΔFGH, we can use the Law of Sines, which relates the lengths of the sides of a triangle to the sine of their opposite angles. The Law of Sines states that:

a/sin(A) = b/sin(B) = c/sin(C)

Here the lengths of the sides of a ΔABC are a, b, and c, and A, B, and C are the opposite angles.

In this case, we know that the length of side 'f' is 67 inches, and the measures of angles, G and H are 66° and 30° respectively. Let's assume the length of ∠G side is 'g'. Then, using the Sin Law, we can write:

f/sin(F) = g/sin(G) = h/sin(H)

Substituting the given values, we get:

67/sin(F) = g/sin(66) = h/sin(30)

Solving for 'g', we have:

67/sin(F) = g/sin(66°)

g = 67 * {sin(66°) / sin(F)}

To find the measure of angle F, we can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore:

F = 180° - G - H

F = 180 - 66° - 30°

F = 84°

Substituting this value into the equation for 'g', we get:

g = 67 * sin(66°) / sin(84°)

putting the values from Sin table: Sin(66°) = 0.913 and Sin(84°) = 0.994

g = 61.54 inches

Therefore, the length of side 'g' is approximately 61.54 inches.

To know more about Law of Sines, visit:

https://brainly.com/question/30401249

#SPJ1

The total surface area of the triangular pyramid is 107 * [tex]\sqrt(3)[/tex]square feet.

Take a triangle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first triangle and when they're taken together, they form a closed object, called as a triangular pyramid.

We are given that;

The length of median from outer triangle to side of the inner triangle is 8 ft

Side of inner equilateral triangle is 12 ft

Now,

First, we can find the height of the outer equilateral triangle using the Pythagorean theorem:

a^2 + (m/2)^2 = b^2

where a is half the length of the side of the inner triangle (6 ft), m is the length of the median (8 ft), and b is the length of the side of the outer triangle (unknown).

b^2 = 6^2 + 8^2/4

b^2 = 36 + 4

b^2 = 40

b = sqrt(40)

b = 2 * sqrt(10)

So the height of the outer triangle is:

h = b * sqrt(3)/2

h = sqrt(30)

Now we can find the area of each equilateral triangle using the formula:

A = (sqrt(3)/4) * s^2

where A is the area and s is the length of the side.

For the inner triangle:

A_inner = (sqrt(3)/4) * 12^2

A_inner = 36 * sqrt(3)

For the outer triangle:

[tex]A_outer = (\sqrt(3)/4) * (2 * \sqrt(10))^2A_outer = 5 * \sqrt(3)[/tex]

Now we can find the area of the base, which is just the area of the inner equilateral triangle:

A_base = A_inner

A_base = 36 * [tex]\sqrt(3)[/tex]

Finally, we can find the surface area of the triangular pyramid by adding the areas of the four triangles and the base:

SA = A_inner + 3 * A_outer + A_base

[tex]SA = 36 * \sqrt(3) + 3 * 5 * \sqrt(3) + 36 * \sqrt(3)SA = 107 * \sqrt(3)[/tex]

Therefore, the surface area of the triangular pyramid will be 107 * [tex]\sqrt(3)[/tex]square feet.

Learn more about triangular pyramids here:

https://brainly.com/question/22213308

#SPJ1

The OLS estimate of the return to an additional year of schooling is 0.074. This means that for every additional year of schooling, the individual's earnings will increase by 7.4%. This is statistically significant at the 5% level of significance because the t-value is 0.074/0.025 = 2.96, which is greater than the critical value of 1.96.

However, Sharon is not correct in thinking that this is the true return to schooling. This is because there may be other factors that affect earnings that are not included in the model, such as ability or family background. These omitted variables can bias the estimate of the return to schooling.

Sharon could use the information about the starting age and compulsory schooling age to obtain the true return to schooling. This is because these rules create exogenous variation in the amount of schooling that individuals receive. She could use this exogenous variation to estimate the causal effect of schooling on earnings by using an instrumental variables approach. By using the starting age and compulsory schooling age as instruments for years of schooling, she could obtain an unbiased estimate of the true return to schooling.

Learn more about interested

brainly.com/question/27584159

#SPJ11

The average rate of change of Q(x) from x=3 to x=3+h for h=0.2 is 21.2.

To find the average rate of change of Q(x) from x=3 to x=3+h, we need to plug in the values of h and a into the difference quotient and simplify.

When h=0.2, the difference quotient becomes:

(Q(3+0.2)−Q(3))/0.2

= (Q(3.2)−Q(3))/0.2

= ((3(3.2)^2+5(3.2)+10)−(3(3)^2+5(3)+10))/0.2

= ((30.24+16+10)−(27+15+10))/0.2

= (56.24-52)/0.2

= 4.24/0.2

= 21.2

Therefore, when h=0.2, the average rate of change of Q(x) is 21.2.

For more such questions on Average rate of change.

https://brainly.com/question/28744270#

#SPJ11

1)Substituting the given values, we get:

xyz = 3(-1)(2) = -6

Therefore, when x=3, y=-1, and z=2, the value of xyz is -6.

2)y^2 = (-1)^2 = 1

Therefore, when x = 3, y = -1, and z = 2, y^2 = 1.

3) 2

F. 14 [tex]cm^2[/tex] is the measurement that most closely resembles the

the parallelogram's area in square centimeters.

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of a polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees. You must have studied a variety of 2D shapes and sizes in geometry, including circles, squares, rectangles, rhombuses, etc. Each of these forms has a unique set of characteristics.

from the question:

We must multiply the parallelogram's base and height in order to determine its area. We can observe from the photograph that the parallelogram's height is around 3 cm, and its base is about 5 cm. Hence, the parallelogram's area is:

Area = Base x Height

= 5 cm x 3 cm

= 15 [tex]cm^2[/tex]

15 square centimeters is the result of rounding this response to the nearest whole number. F. 14 cm2 is the measurement that most closely approximates the parallelogram's area in square centimeters.

to know more about   parallelograms visit

https://brainly.com/question/29147156

#SPJ1

The exponential function that is equivalent to the geometric sequence, aₙ = 9.5 × 5ⁿ is A. f(n) = (0.95)5ⁿ.

An exponential function is a mathematical function that calculates the exponential growth or decay of a data set.

There are two types of exponential functions: exponential growth and exponential decay.

The function f(x) = bx where b > 1 represents exponential growth function while f(x) = bx when 0 < b < 1, represents an exponential decay function.

Thus, the equivalent exponential function is Option A.

Learn more about exponential functions at https://brainly.com/question/30127596.

#SPJ1

From the graph of the function we determine, [tex]y = 1.(2^{\frac{1}{3}})^x[/tex].

A function is said to be an exponential function when the exponent is the independent variable.

Let, The given function be f(x) = abˣ.

Now, At x = 0,

1 = ab⁰.

a = 1.

Again at,

x = 3,

2 = a.b³.

b³ = 2.

b = [tex]2^{\frac{1}{3}[/tex].

Therefore, The given function is, [tex]y = 1.(2^{\frac{1}{3}})^x[/tex].

learn more about exponential functions here :

https://brainly.com/question/14355665

#SPJ9

The variance of 3X + 2022 is -26.

The variable X in this scenario contains the total number of trials until all odd numbered balls are removed from the box without replacement. In order to find the variance of 3X + 2022, we can use the formula for the variance of a linear transformation: V ar(aX + b) = a^2V ar(X).

In this case, a = 3 and b = 2022, so the formula becomes: V ar(3X + 2022) = 3^2V ar(X) = 9V ar(X).

To find the variance of X, we can use the formula for the variance of a discrete random variable: V ar(X) = E(X^2) - [E(X)]^2.

Since X is the total number of trials until all odd numbered balls are removed, we can find E(X) by calculating the expected value of the number of trials until each odd numbered ball is removed. This can be done using the formula for the expected value of a geometric random variable: E(X) = 1/p, where p is the probability of success.

For the first odd numbered ball, the probability of success is 3/5, so E(X) = 1/(3/5) = 5/3. For the second odd numbered ball, the probability of success is 2/4, so E(X) = 1/(2/4) = 4/2 = 2. For the third odd numbered ball, the probability of success is 1/3, so E(X) = 1/(1/3) = 3/1 = 3.

Therefore, the expected value of X is E(X) = 5/3 + 2 + 3 = 14/3.

To find E(X^2), we can use the formula for the expected value of the square of a geometric random variable: E(X^2) = (2 - p)/p^2.

For the first odd numbered ball, E(X^2) = (2 - 3/5)/(3/5)^2 = (10/5 - 3/5)/(9/25) = 7/5 * 25/9 = 35/9. For the second odd numbered ball, E(X^2) = (2 - 2/4)/(2/4)^2 = (8/4 - 2/4)/(4/16) = 6/4 * 16/4 = 24/4 = 6. For the third odd numbered ball, E(X^2) = (2 - 1/3)/(1/3)^2 = (6/3 - 1/3)/(1/9) = 5/3 * 9/1 = 15.

Therefore, the expected value of X^2 is E(X^2) = 35/9 + 6 + 15 = 170/9.

Now we can find the variance of X: V ar(X) = E(X^2) - [E(X)]^2 = 170/9 - (14/3)^2 = 170/9 - 196/9 = -26/9.

Finally, we can find the variance of 3X + 2022: V ar(3X + 2022) = 9V ar(X) = 9(-26/9) = -26.

Therefore, the variance of 3X + 2022 is -26.

Learn more about Variance

brainly.com/question/14116780

#SPJ11

26. The equation in slope-intercept form is y = 3x + 20.

27. The equation in slope-intercept form is y = (1/4)x - 11.

30. The equation in point-slope form is y - (-3) = -6(x - 2)

31. The equation in slope-intercept form is y = -6x + 9.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

26.

y-8 = 3(x+4)

y - 8 = 3x + 12  (distribute the 3)

y = 3x + 12 + 8 (add 8 to both sides)

y = 3x + 20

The equation in slope-intercept form is y = 3x + 20.

27.

y+5= (1/4)(x-24)

y + 5 = (1/4)x - 6

y = (1/4)x - 6 - 5

y = (1/4)x - 11

The equation in slope-intercept form is y = (1/4)x - 11.

To find the equation of a line with a slope of -6 that goes through (2,-3), we can use the point-slope form.

Point-slope form:

y - y₁ = m(x - x₁) where m is the slope and (x₁,y₁) is the point

Substituting m = -6, x₁ = 2, and y₁ = -3, we get:

y - (-3) = -6(x - 2)

y + 3 = -6x + 12

y = -6x + 9

The equation in slope-intercept form is y = -6x + 9.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

By the principle of mathematical induction, the statement is true for all positive integers n.

To prove that n^p−n is always divisible by p, we can use the principle of mathematical induction.

When n = 1, we have 1^p - 1 = 0, which is divisible by p.

Assume that the statement is true for n = k, i.e., k^p - k is divisible by p. Now, we need to prove that the statement is also true for n = k+1, i.e., (k+1)^p - (k+1) is divisible by p.

Expanding (k+1)^p using the binomial theorem, we get:

(k+1)^p = k^p + pk^(p-1) + ... + p(k^2) + p(k) + 1

Subtracting (k+1) from both sides gives:

(k+1)^p - (k+1) = k^p - k + pk^(p-1) + ... + p(k^2) + p(k)

Since k^p - k is divisible by p by the induction hypothesis, and all the other terms on the right-hand side are multiples of p, we can conclude that (k+1)^p - (k+1) is also divisible by p.

Therefore, by the principle of mathematical induction, the statement is true for all positive integers n.

We have proved that n^p−n is always divisible by p for any prime p using induction on n.

Learn more about Induction

brainly.com/question/18575018

#SPJ11

Answer:  1.09 is closer to 1

The value for the function f(g(-2)) is obtained as f(g(-2)) = 0.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The graph for the function y = f(x) is given.

The graph for the function y = g(x) is given.

We need to evaluate the function f(g(-2)).

From the graph of y = g(x) the value for g(-2) is obtained as -

g(-2) = 1

So, now we have -

f(g(-2)) = f(1)

From the graph of y = f(x) the value for f(1) is obtained as -

f(1) = 0

Therefore, the value is obtained as 0.

To learn more about function from the given link

https://brainly.com/question/2284360

#SPJ1

The length and width of the rectangle are 10 and 3, respectively.

Let's use "l" to represent the length of the rectangle and "w" to represent the width. From the problem statement, we've got portions of information:

The perimeter is 26. The formulation for the perimeter of a rectangle is P = 2l + 2w. So we are able to write:

2l + 2w = 26

The length is four extra than twice the width. In equation shape:

l = 2w + four

Now we can use substitution to resolve for the length and width. we will alternative the expression 2w + 4 for l within the first equation:

2(2w + 4) + 2w = 26

Simplifying:

4w + 8 + 2w = 26

6w + 8 = 26

6w = 18

w = 3

So the width of the rectangle is three. To discover the length, we're going to substitute w = 3 into the equation for l:

l = 2w + 4 = 2(3) + 4 = 10

So the length of the rectangle is 10.

Thus, the length and width of the rectangle are 10 and 3, respectively.

Learn more about Perimeter of rectangle formula:-

https://brainly.com/question/20853439

#SPJ4

The median height is less than the mean height.

Option 3 is correct.

The midway value in a given set of figures or data is referred to as the median. To get the average value for a given group of integers, three different metrics are employed in mathematics. The terms are median, mode, and mean. The term "measures of central tendency" refers to these three metrics.

As per the given graph:

Total number of plants = 80

Frequency v/s height of plant is given.

The mean height is 41.9 cm.

To find the median:

Total observations (n) = 25 + 20 + 13 + 10 + 2 + 10

= 80 plants

For median interval:

(n/2) = (80/2)

= 40 plants

Hence, the median interval will be the one where frequency reach 40.

∴ Median lies in the interval of height (30-40) cm.

Hence, the median height is less than the mean height.

To learn more about median, click:

brainly.com/question/28060453

#SPJ1

Answer:

a. Two research questions that can be framed based on the information provided in Part A and Part B of the questionnaire are:
1. What is the relationship between years of experience and turnover intention among employees in private organizations in Bahrain?
2. What is the relationship between job level and job satisfaction among employees in private organizations in Bahrain?

b. Two meaningful hypotheses that can be framed based on the information provided in Part C and Part B of the questionnaire are:
H0: There is no relationship between gender and work stress among employees in private organizations in Bahrain.
H1: There is a relationship between gender and work stress among employees in private organizations in Bahrain.
H0: There is no relationship between education level and financial compensation among employees in private organizations in Bahrain.
H1: There is a relationship between education level and financial compensation among employees in private organizations in Bahrain.

c. i. The findings from the one sample t test indicate that employees' perceptions differ significantly from the neutral point (4) on the constructs of job satisfaction (JS), organizational commitment (OC), inter-personal relationship (IR), work environment (WE), and work stress (WS). However, there is no significant difference between employees' perceptions and the neutral point on the constructs of financial compensation (FC) and administrative support (AS).

ii. Employees think most alike on the construct of inter-personal relationship (IR), as indicated by the highest mean difference (1.696) and the highest t value (13.816).

iii. Employees think most differently on the construct of financial compensation (FC), as indicated by the lowest mean difference (-0.173) and the lowest t value (-1.043).

iv. One hypothesis related to the test performed is:
H0: There is no difference between employees' perceptions of job satisfaction and the neutral point.
H1: There is a difference between employees' perceptions of job satisfaction and the neutral point.

v. One research question that is answered through this test is: Do employees' perceptions of job satisfaction differ significantly from the neutral point?

Learn more about hypotheses

brainly.com/question/30473809

#SPJ11

We have the following answers:

Solution:
(a) To simplify [tex]f(-3)[/tex], we need to plug in [tex]-3[/tex] for [tex]x[/tex] in the function [tex]f(x) = x - x^2[/tex]:

[tex]f(-3) = (-3) - (-3)^2\\f(-3) = -3 - 9\\f(-3) = -12[/tex]

(b) To simplify [tex]g(x^2)/2[/tex], we need to plug in [tex]x^2[/tex] for [tex]x[/tex] in the function[tex]g(x) = 4x - 2[/tex], and then divide the result by 2:

[tex]g(x^2)/2 = (4(x^2) - 2)/2\\g(x^2)/2 = (4x^2 - 2)/2\\g(x^2)/2 = 2x^2 - 1[/tex]

(c) To simplify [tex]f(g(x))[/tex], we need to plug in the function [tex]g(x) = 4x - 2[/tex] for [tex]x[/tex] in the function[tex]f(x) = x - x^2[/tex]:

[tex]f(g(x)) = (4x - 2) - (4x - 2)^2\\f(g(x)) = 4x - 2 - (16x^2 - 16x + 4)\\f(g(x)) = -16x^2 + 20x - 6[/tex]

(d) To simplify [tex]g(g(x)) - x[/tex], we need to plug in the function [tex]g(x) = 4x - 2[/tex] for [tex]x[/tex] in the function [tex]g(x) = 4x - 2[/tex], and then subtract x from the result:

[tex]g(g(x)) - x = (4(4x - 2) - 2) - x\\g(g(x)) - x = (16x - 8 - 2) - x\\g(g(x)) - x = 15x - 10[/tex]

See more about simplify the expression at; https://brainly.com/question/1280754

#SPJ11

Answer:

A, I and III

Step-by-step explanation:

The origin is the point in the center of a graph, where the x- and y-axes intersect. This point is also (0,0).

The measure of arc of central angle is 65 degree.

According to the definition of a central angle in geometry, it is the angle that the arc of a circle occupies in its centre. The angle's arms are formed by the two radii. Knowing the ratio of the curve to the circle using the central angle is helpful.

Central angle is the angle which is made from the half of the Centre of the circle by the one radius .

First, Congruent arcs in the circle and Congruent arcs have congruent triangles .

We have JEI = 125

So, < GEI = 180- 125 (concurrency property Angle)

                = 65

Learn more about Central Angle here:

https://brainly.com/question/15698342

#SPJ1