Problem
The table compares the heights (in centimeters) and the weights (in kilograms) of Karim's friends.
Can the weight of Karim's friends be represented as a function of their height?
Height (centimeters) Weight (kilograms)
163
163163
65
6565
167
167167
70
7070
154
154154
60
6060
172
172172
70
7070
167
167167
68
6868
159
159159
58
5858
160
160160
64
6464
166
166166
69
6969
Choose 1 answer:
Choose 1 answer:
(Choice A) Yes
A
Yes
(Choice B) No
B
No

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

learn more x and y-intercepts here: https://brainly.com/question/14180189

#SPJ1

You would use a histogram to illustrate data for a variable measured at the interval/ratio scale of measurement.

A histogram is a type of graph that uses adjacent rectangles to depict the distribution of continuous numerical data.

A variable is a feature or property that can take on several different values. In the research context, a variable can be described as anything that may have an effect on the outcome of a study or research project.

Variables can be classified according to the scale of measurement, which is a mathematical categorization of the nature of variables that have been measured. There are four different levels of measurement: nominal, ordinal, interval, and ratio.

Nominal data describes categories that cannot be ordered, while ordinal data describes categories that can be ordered. Interval data measures differences between variables, but there is no true zero point. On the other hand, ratio data has a true zero point and describes the ratio of two variables.

Therefore, histograms are used to illustrate data for a variable measured at the interval/ratio scale of measurement.

Learn more about variable:

brainly.com/question/15078630

#SPJ11

The rate per hour at which she delivers the newspapers would be option C. 140 newspapers/hour.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Mia takes 5/7 hours to deliver 100/1 newspapers on her paper route.

For 5/7 hours, she can deliver = 100/ 1 newspapers

For 1 hours, she can deliver = (100/ 1) / (5/7)newspapers

                                                = 100 x (7/5)

                                               = 140

Hence, the rate per hour at which she delivers the newspapers would be option C. 140 newspapers/hour.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

Answer:

x=10/3

Step-by-step explanation:

Let's solve your equation step-by-step.

−7x=−10x+10

Step 1: Add 10x to both sides.

−7x+10x=−10x+10+10x

3x=10

Step 2: Divide both sides by 3.

3x 3=10 3

x=10/3

Answer: 13.33

Step-by-step explanation:

Answer:

Angle B =  75 degrees

AC =  35.7

BC =  9.6

Step-by-step explanation:

Angle A = 15 degrees (given)

Angle C = 90 degrees (given)

c = 37 (given)

Angle B = 90-15 = 75 degrees

AC = AB cos(A) = 37 cos(15) = 35.7

BC = AB sin(A) = 37 sin(15) = 9.6

Answer:

Not sure but I'm gonna try

Step-by-step explanation:

x-2y=42

-2y=-x+42

y= (-x/2)+(42/2)

y=-x/2 + 21

We can find percent by dividing savings by total earned. 28/350=8%

8%

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

Answer:

The area is 225 and they are not directly proportional

Step-by-step explanation:

find the area by doing 15 x 15 which is 225

Answer:

225

Step-by-step explanation:

easy

The answer choice which can be modelled using the number line given in the task content is; (1/10) × 7.

It follows from the task content that the answer choice which can be modelled using the number line be identified.

Hence, since each successive threshold on the number line is 1/10 from the next. It follows that the number line best models the expression; (1/10) × 7.

Read more on number line;

https://brainly.com/question/24644930

#SPJ1

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

Learn more about exponential distribution here: https://brainly.com/question/28256132

#SPJ11

Answer:

Hahahahahahahahahahaha Sorry

the answer Is found in the question

The least number of buses required for the trip will be 5 buses.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Total number of classes = 9

Number of students in each class = 25

Number of teachers = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

A total number of students.

= 9 × 25

= 225

A number of chaperones.

= 4 × 2

= 8

Total people = 225 + 8 + 4 = 237

Least number of buses required for trip = Total people / Bus hold

= 237 / 45

= 5.266

Learn more about the unitary method here:

brainly.com/question/22056199

#SPJ2

The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 \(cm^{3}\).

Volume of cup by rounding off nearest tenth = 146.4 \(cm^{3}\).

The volume V of a cylinder with radius r is the area of the base B times the height h .

V=Bh  or  V=π\(r^{2}\)h

It is given that,

height= 8.3 cm

Circumference = 14.9 cm

By using the circumference we first find the radius of circular base or top,

Circumference of the circle = 2πr

14.9= 2 x  3.14 x r

14.9= 6.28 x r

r= \(\frac{14.9}{6.28}\)

r= 2.37 cm

Hence, the radius of the circle is 2.37 cm.

Volume of cup( cylindrical shape ) = π\(r^{2}\)h

                                                         = 3.14 x 2.37 x 2.37 x 8.3

                                                         = 26.062 x 5.616

                                                         = 146.364 \(cm^{3}\)

                                                         = 146.4 \(cm^{3}\) (nearest tenth)

The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 \(cm^{3}\).

Learn more about Volume of cylinder here:

https://brainly.com/question/15891031

#SPJ1

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = \(\sqrt{(8-5)^2+(8-5)^2}\)

  = \(\sqrt{3^2+3^2}\)

   = \(\sqrt{9+9}\)

   = \(\sqrt{18}\) ⇒ r² = (\(\sqrt{18}\) )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

The subsequent three words in the list. 3 14, 32, 60, 98, ... is 276 . In this case, the order is 3, 14, 32, 60, 98, and 276.

To learn more about Sequence refer to :

https://brainly.com/question/28369191

#SPJ1

The next three terms in the sequence are 79, 90, and 101.

a) To find a formula for the sequence, we can use a difference table.

First, let's write out the first few terms of the sequence:

3, 14, 32, 60, 98, ...

Next, we'll create a difference table:

n | Term | Difference

1 | 3 |

2 | 14 | 11

3 | 32 | 18

4 | 60 | 28

5 | 98 | 38

We see that the difference is increasing by 10 each time, so our formula can be written as:

Term = 11n + 3

To check the formula, we can plug in a few values of n and see if it matches the terms in the sequence:

n = 1, Term = 11(1) + 3 = 14

n = 2, Term = 11(2) + 3 = 32

n = 3, Term = 11(3) + 3 = 60

The formula matches the terms in the sequence, so it is correct.

b) To find the next three terms in the sequence, we can use our formula:

n = 6, Term = 11(6) + 3 = 79

n = 7, Term = 11(7) + 3 = 90

n = 8, Term = 11(8) + 3 = 101

So the next three terms in the sequence are 79, 90, and 101.

To learn more about sequence from the given link :-

https://brainly.com/question/30262438

#SPJ1

On the new planet, your mass will be the same. Therefore, the correct option is A.

The mass of an object is a fundamental property that remains constant regardless of the location or environment. Therefore, if you were to travel from Earth to a planet with an acceleration of gravity of 2.5 m/s², your mass would remain the same. Therefore, the correct answer is A: the same.

It is important to note that although the mass remains constant, the weight of the object may vary based on the strength of gravity. Weight is the measure of the force of gravity on an object, and it is directly proportional to the acceleration of gravity. As the acceleration of gravity increases, the weight of an object also increases.

Note: The question is incomplete. The complete question probably is: Suppose you go from the earth to a planet where the acceleration of gravity is 2.5 m/s. On the new planet, your mass will be about a. a) the same b. b) 7 times its value on Earth c. c) 2 times its value on Earth d. d) 4 times its value on Earth.

Learn more about Mass:

https://brainly.com/question/86444

#SPJ11

If a coin is flipped 100 times, it is likely to land on heads around 50 times. However, it is possible for it to land on heads more or less than 50 times. The exact number of times it lands on heads will vary each time the coin is flipped.

Each time a coin is flipped, there is a 50% chance that it will land on heads and a 50% chance that it will land on tails. If a coin is flipped 100 times, the expected number of times it will land on heads is 50.

This means that if you flip a coin 100 times many times, about half of the time it will land on heads and about half of the time it will land on tails.

However, the exact number of times a coin will land on heads in any given 100 flips is random. It is possible for it to land on heads more or less than 50 times. For example, if you flip a coin 100 times, it is possible for it to land on heads 51 times, 49 times, 60 times, or any other number of times.

The probability of a coin landing on heads a certain number of times in 100 flips can be calculated using statistics.

The probability of a coin landing on heads exactly 50 times in 100 flips is very low. The probability of a coin landing on heads around 50 times in 100 flips is much higher.

Visit here to learn more about probability:

brainly.com/question/13604758

#SPJ11

Answer:

1.=scalene+acute . 2. equilateral .  3. obtuse+scalene .  4. isosceles+right .  5. scalene+acute(cant tell exactly)  6. acute+isosceles .  7. right+isosceles . 8. isosceles + obtuse

Step-by-step explanation:

look at pictures

Answer:

x=8+4y

Step-by-step explanation:

Add 8y to both sides:

2x=16+8y

Divide both sides by 2:

x=8+4y

True, Wn is bipartite for n ≥ 3 because we need to partition its vertices into two disjoint sets, such that no two vertices in the same set are adjacent.

To show that Wn is bipartite, we need to partition its vertices into two disjoint sets, such that no two vertices in the same set are adjacent.

Step 1: Consider a wheel Wn, where n is the number of vertices, and n ≥ 3.

Step 2: The wheel Wn is formed by adding an additional vertex, called the hub, to a cycle Cn.

Step 3: Divide the vertices into two sets:
- Set A: The hub vertex and every other vertex of the cycle Cn.
- Set B: The remaining vertices of the cycle Cn.

Step 4: Observe that no two vertices in Set A are adjacent, as the hub is only connected to the vertices in the cycle, and the vertices from the cycle in Set A are separated by vertices from Set B. Similarly, no two vertices in Set B are adjacent since they are separated by vertices from Set A in the cycle.

Step 5: Since the vertices can be divided into two sets with no adjacent vertices within each set, we can conclude that Wn is bipartite for n ≥ 3.

Learn more about bipartite here:

https://brainly.com/question/30889414

#SPJ11

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

Learn more about Green's theorem

https://brainly.com/question/27549150

#SPJ11

Answer:

missing angle is A - 105

Step-by-step explanation:

angle TRS = 180-105 = 75 (all angles in a triangle add up to 180)

180 - 75 = 105 ) angles on a straight line add up to 180)

Answer:

The answer is y=3/4+5 (C)

Step-by-step explanation:

You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.

The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.

From the given graph, the coordinate points are (4, 8) and (16, 17).

Here, slope (m) = (y₂-y₁)/(x₂-x₁)

= (17-8)/(16-4)

= 9/12

= 3/4

Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get

8=3/4 ×4+c

8=3+c

c=5

Substitute m=3/4 and c=5 in y=mx+c, we get

y=3/4 x+5

Therefore, the correct answer is option C.

To learn more about the line of fit visit:

https://brainly.com/question/14279419.

#SPJ4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value

https://brainly.com/question/30701897

#SPJ4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value here:

brainly.com/question/30701897

#SPJ4

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

To know more about function,

https://brainly.com/question/31418405

#SPJ11

Answer:

the digit in the ten thousandths place is 1

Step-by-step explanation:

Answer:

1 is the digit that is in the ten thousandth place

Step-by-step explanation:

can i get brainlisest

The odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test if the probability is 0.20

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents impossibility (an event that cannot occur) and 1 represents certainty (an event that is certain to occur).

For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 0.5 (or 1/2) because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

The odds of an event happening are defined as the ratio of the probability of the event occurring to the probability of the event not occurring. Mathematically, odds can be expressed as:

odds = P(event happening) / P(event not happening)

In this case, the probability of the employee passing the test is 0.20, so the probability of the employee not passing the test is 0.80 (since the sum of probabilities of all possible outcomes must be 1).

Therefore, the odds of the employee passing the test can be calculated as:

odds = 0.20 / 0.80 = 0.25

So the odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test (since 0.25 can be written as a fraction of 1/4).

To know more about the probability visit:

brainly.com/question/12629667

#SPJ1

Answer:

The answer is the first one

Step-by-step explanation: