chantel has a goal to complete a triathlon. the race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run. in training, chantel can swim at an average pace of 2.1mph. she rides her bike at an average of 18.2mph and runs at 5.1mph. estimate how long it will take her to complete the triathlon.

Answers

Answer 1

It will take Chantel approximately 2.028 hours or 122.68 minutes to complete the triathlon.

What is average ?

An average, also known as a mean, is a measure of central tendency that represents the typical value of a set of data. To calculate the average of a set of numbers, you add them up and then divide by the number of items in the set.

Time = Distance / Speed

For the swimming segment, the distance is 0.93 miles and the speed is 2.1 mph. So the time it will take Chantel to swim the 0.93 miles is:

Time = 0.93 / 2.1 = 0.445 hours or 26.7 minutes

For the biking segment, the distance is 24.8 miles and the speed is 18.2 mph. So the time it will take Chantel to bike the 24.8 miles is:

Time = 24.8 / 18.2 = 1.367 hours or 81.02 minutes

For the running segment, the distance is 6.2 miles and the speed is 5.1 mph. So the time it will take Chantel to run the 6.2 miles is:

Time = 6.2 / 5.1 = 1.216 hours or 72.96 minutes

To get the total time, you have to add the time for each segment:

Total time = 0.445 + 1.367 + 1.216 = 2.028 hours or 122.68 minutes

So , It will take Chantel approximately 2.028 hours or 122.68 minutes to complete the triathlon.

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Related Questions

Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 3000, where X is the number of
hours he works each week. Carlos works with Jacob and earns a yearly Income given by the expression 3800x - 39000.A
manager predicts that if Carlos and Jacob each work 42 hours, they will earn the same amount of money.

Answers

Answer:20

Step-by-step explanation:

you do it

Half of this two digit number is 3 times half of 28 this number is ?

Answers

Answer:

84

Step-by-step explanation:

x/2=3*28/2=3*14 = 42

x=84

Monomial of 9p^3 and 4p

Answers

Answer: A monomial is a polynomial with only one term. So 9p^3 and 4p are monomials.

9p^3 is a monomial with coefficient 9 and exponent 3 in the variable p.

4p is a monomial with coefficient 4 and exponent 1 in the variable p.

Step-by-step explanation:

Four points B, A, E, and L are on a straight line, as shown. The point G is off the line so that angle BAG = 120 degrees and angle GEL = 80 degrees. If the reflex angle at G is x degrees, then what does x equal?

Answers

Given that the reflex angle at G is x degrees, then x is equal to

What is a reflex angle?

A reflex angle is a type whose value falls within 180^o and 360^o. This implies that the value of the angle is greater than 180^o, but less than 360^o.

Considering the reflex angle given in the question, it can be deduced that;

m<AGE + m<GAE + m<GEA = 180^o

But,

i. m<GAB + m<GAE = 180^o    (sum of angles on a straight line)

120 + m<GAE = 180

m<GAE = 180 - 120

             = 60

m<GAE = 60^o

ii. m<GEA + m<GEL = 180^o

  m<GEA + 80 = 180

m<GEA = 180 - 80

             = 100

m<GEA = 100^o

Thus,

m<AGE + m<GAE + m<GEA = 180^o

m<AGE + 100 + 60 = 180

m<AGE = 180 - 160

            = 20

m<AGE = 20^o

Therefore,

x + m<AGE = 360  (sum of angles at a point)

x + 20 = 360

x = 360 - 20

  = 340

x = 340^o

x is equal to 340^o.

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Simplify fully.


[tex]3\cdot \log_{\frac{4}{9}}(\sqrt[4]{\dfrac{27}{8}})[/tex]


I know how to get the fourth root fraction inside the log to [tex](\dfrac{3}{2})^{3/4}[/tex] but don't understand how to advance from there

Answers

Answer:

  -9/8

Step-by-step explanation:

You want a full simplification of ...

  [tex]3\cdot\log_{\frac{4}{9}}{\sqrt[4]{\dfrac{27}{8}}}[/tex]

Rules of logarithms

The relevant rules of logarithms are ...

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

  logₐ(b) = log(b)/log(a)

Application

  [tex]3\cdot\log_{\frac{4}{9}}{\sqrt[4]{\dfrac{27}{8}}}=\dfrac{3}{4}\log_{\frac{4}{9}}\left(\dfrac{27}{8}\right)=\dfrac{3}{4}\cdot\dfrac{\log\dfrac{27}{8}}{\log\dfrac{4}{9}}\\\\\\=\dfrac{3(\log(3^3)-\log(2^3))}{4(\log(2^2)-\log(3^2))}=\dfrac{3(3\cdot\log(3)-3\cdot\log(2))}{4(2\cdot\log(2)-2\cdot\log(3))}\\\\\\=\dfrac{9(\log(3)-\log(2))}{8(\log(2)-\log(3))}=\boxed{-\dfrac{9}{8}}[/tex]

__

Additional comment

We have reduced everything to the difference of the logs of 2 and 3. You could stop the reduction to smallest parts at any point where you recognize things that will cancel. You could write numerator and denominator in terms of powers of (3/2), for example.

solve. 10) what are the dimensions of a right triangle with a 5 inch hypotenuse and an area of 6 square inches?

Answers

Answer:

The dimensions are 3, 4 and 5 inches.

Step-by-step explanation:

Area = 1/2 * height * base

6 = 1/2 * h * b

h * b = 12.

As the hypotenuse is 5 inches long

H^2 + B^2 = 5^2

From the third line: h = 12/b, so we have
(12/b)^2 + b^2 = 25

144/b^2 + b^2 = 25

144 + b^4 = 25b^2

b^4 - 25b^2 + 144 = 0

Let B = b^2, so

B^2 - 25B + 144 = 0

(B - 16)(B - 9) = 0

B = 16, 9

So, b = 4, 3

h = 12/b

= 3 , 4.

A composite figure is shown.

A five-sided figure with two parallel bases. The top one is 4 inches. The vertical height between these bases is 2.3 inches. That vertical height intersects the bottom base, leaving 2.5 inches between it and the vertex to the left. The side on the right is the longest at 5.2 inches. There is a horizontal line connecting the vertex of the bottom base to the 5.2-inch side and that line is 3 inches.

Which of the following represents the total area of the figure?

Answers

The total area of the figure is 14.35 square inches

How to determine the total area of the figure?

The six-sided figure is not given, however we can deduce the following parameters from the question:

The shape is made of a triangle and a trapezoid

The side lengths derived from the question are:

The triangle on top:

base: 4 inches and height: 2.3 inches

The trapezoid at the bottom:

Parallel sides: 2.5 inches and 4 inches with a height of 3 inches

So, we have the total area of the figure to be

Area of figure = 1/2 * 4 * 2.3 + 1/2 * (2.5 + 4) * 3

Area of figure = 14.35

Hence, the total area is 14.35 square inches

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Answer:

Step-by-step explanation:

dddcdcdcdc its d

•What turtle won the race?
•How long did the race take to complete?
•What speed was the Blue turtle traveling from 6-13 hours?
•Which turtle maintained a consistent speed through the entire race?

Answers

The time that it took to complete the race is given as follows: 16 hours.The velocity of the blue turtle from the time of 6 hours to 13 hours is of 0 km/h.The red turtle maintained a consistent speed through the entire race.

How to obtain the features?

The time that it took to complete the race is the time it took for them to stop at the same position, hence it is of 16 hours.

For the Blue turtle, we have that:

At hour six, she was at a position of 10 km.At hour 13, she was at a position of 10 km.

The velocity is given by the change in position divided by the change in time, hence:

v = (10 - 10)/(13 - 6)

v = 0.

The red turtle maintained a consistent speed through the entire race, as the slope of her line is constant.

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Your savings account increased by 3% in the last year. Write an expression as a product to represent the amount of money in your savings account(s) now.​

Answers

how much was in your savings account last year? i need to know

how many different paths from a to b are possible if each path must avoid the point with the circle around it?

Answers

This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.

The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.

For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.

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Can I get help on this question ?

Answers

The solution of the expression is 3m-5.

How to simplify the equation?

Basic Guidelines and Procedures for Condensing Any Algebraic Expression

By multiplying factors, remove the parentheses and brackets.If the terms have exponents, you should eliminate grouping using the exponent rule.Add or subtract coefficients to combine similar terms.Incorporate the constants.

step1:

(6m² -13m+5)/(2m-1): 3m-5

6m²  -13m+5/2m-1

factor 6m² -13m+5 : (2m-1) (3m-5)

=(2m-1) (3m-5)/2m-1

step2:

cancel the common factor 2m-1

=3m-5

The solution of the expression is 3m-5

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Jose has scored 320 points on his math tests so far this semester. To get an A for the semester, he must

score at least 389 points.

Part 1 out of 2

Enter an inequality to find the minimum number of points he must score on the remaining tests in order to

get an A. Let n represent the number of points Jose needs to score on the remaining tests.

The inequality is

+ n (select)


HELP ME WAAKAIAKAKAKAK

Answers

The inequality that represents the minimum number of points he must score on the remaining tests in order to get an A is 320 + n ≥ 389, n ≥ 69, where n is the number of points.

When we use ≥ symbol, as at least means greater than or equal to.

320 + n ≥ 389

Subtracting 320 on both the sides,

n ≥ 69,

n represents the score he must receive on the remaining tests. Then n + 320 represents his total score for the semester.

Thus, the required inequality is n ≥ 69, which means that n is the minimum scored points to get A.

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Amadou i going to invet $11,000 and leave it in an account for 9 year. Auming the interet i compounded continuouly, what interet rate, to the nearet tenth of a percent, would be required in order for Amadou to end up with $14,000?

Answers

The required interest rate would be 6.9% to the nearest tenth of a percent.

We can use the formula A = P(1+r/n)^nt, where A is the amount of money at the end of the investment, P is the principal, r is the interest rate, n is the number of times the interest is compounded, and t is the time period.

In this case: A = $14,000, P = $11,000, n = 1 (continuous compounding), and t = 9.

Plugging these values into the percent formula, we get: 14,000 = 11,000(1+r)^9. Solving for r, we get: r = 0.069 or 6.9%.

We can use the formula A = P(1+r/n)^nt, where A is the amount of money at the end of the investment, P is the principal, r is the interest rate, n is the number of times the interest is compounded, and t is the time period.

In this case: A = $14,000, P = $11,000, n = 1 (continuous compounding), and t = 9.

Plugging these values into the formula, we get: 14,000 = 11,000(1+r)^9. Solving for r, we get: r = 0.069 or 6.9%.

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I'LL DO ANYTHING!! PLEASE

Answers

The original length is 250 meters and the scale drawing width is 0.67 cm

The original length of the land

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

Scale length = 0.5 meters

So, we have

Original length = 0.5/(1/500)

Evaluate

Original length = 250

This means that the original length is 250 meters

The scale drawing width

Here, we have

Scale drawing width = 335 * 1/500

Scale drawing width = 0.67 cm

Hence, the scale drawing width is 0.67 cm

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The_____area includes all surfaces.The______area does not include bases
1st blank (lateral surface or total surface)
2nd blank (lateral surface or total surface)

Answers

Total surface for the first and lateral surface for the second

Quadrilateral U is a scaled copy of quadrilateral T.


What scale factor takes quadrilateral T to quadrilateral U?

Answers

The scale factor that takes quadrilateral T to quadrilateral U would be = 1.6

What is a scale factor?

A scale factor is defined as the factor that is used to creat a similar shape of an object with a different dimension.

The formula that is used for the new object = original object × scale factor

The original object = quadrilateral T

The new object = quadrilateral U.

The scale factor the was used to form U using the length of the quadrilateral as 16;

16 = 10 * Scale factor

This gives

Scale factor = 16/10

Scale factor = 1.6

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There are 50 bacteria present initially in a culture. In 3min., the count is 204800.
What is the doubling period?

Answers

Answer: The doubling period is the time it takes for the population of bacteria to double. To find the doubling period in this case, we need to determine how often the population doubles during the 3-minute period.

We know that the initial population is 50 and the final population is 204800, which means that the population has grown by a factor of 204800/50 = 4096. Since this is a multiplication by a factor of 4096, this means that the population has doubled 4096 times in 3 minutes.

To find the doubling period, we need to divide the total time (3 minutes) by the number of doublings (4096).

So, the doubling period is:

3 minutes / 4096 = 3/4096 minutes ≈ 0.0007 minutes ≈ 0.042 seconds

So, the population of bacteria doubles every 0.042 seconds

Step-by-step explanation:

Write this polynomial in descending order:
Photo Below

Answers

The polynomial in descending order is

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

-4[tex]x^5[/tex] + 4x³ + [tex]x^7[/tex] - 10 + 2[tex]x^4[/tex]

Arranging in descending order means arranging the terms in their descending order of power.

Now,

[tex]x^7[/tex] > [tex]x^5[/tex] > [tex]x^4[/tex] > x³

So,

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

Thus,

The polynomial is:

[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³  + 2[tex]x^4[/tex] - 10

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For the translation​ below, give the vertices of ABC

Answers

Answer:

see explanation

Step-by-step explanation:

a translation [tex]T_{(-5,-4)}[/tex]

means subtract 5 from the original x- coordinate and subtract 4 from the original y- coordinate.

A (2, - 1 ) → A' (2 - 5, - 1 - 4 ) → A' (- 3, - 5 )

B (- 4, - 2 ) → B' (- 4 - 5, - 2 - 4 ) → B' (- 9, - 6 )

C (3, 2 ) → C' (3 - 5, 2 - 4 ) → C' (- 2, - 2 )

I. Jill is training for a marathon
and runs 2 ⅓ miles three times
a week. How far will she run in
six weeks?

Answers

Answer:42 miles

Step-by-step explanation: She runs 3 times a week so 2  1/3 times 3 is equal to 7.

7x6=42

Alg Fndins 1 A
Order of Operations
Evaluate each expression.
(Help me please)

Answers

So I’m algebra the key is to evaluate one part of equation at a time. So , You take you 130 degree angle 130-5x +-21

Find the area of shaded region?
Please help me!!!!​

Answers

The are of shade part of semi-circle is 75.36 cm^2.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Now,

Area of the shaded region=area of large semicircle-2*area of small semicircles

radius for large semicircle=7cm

radius for small semicircle=3.5cm

Therefore,

         Area of the shaded region=πR^2-2*πr^2

                                        =3.14(7^2-2*3.5^2)

                                         =3.14*(49-25)

                                         =3.14*24

                    Area of the shaded region =75.36 cm^2

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two side lengths of a triangle are 11 and 17. what is the longest possible integer length of the third side of the triangle?

Answers

Therefore, the potential length of a triangle's third side is 17-11<x<17+11 is equals to 6 < x< 28.

A triangle's third side must always have a length that falls between (but not exactly equal to) the sum and difference of the other two sides. Consider the examples 2, 6, and 7 as an example. The third side length must therefore be larger than 4 and less than 8.

According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length. To find the potential length of a triangle, multiply the sum of the two sides by the difference of the two sides.

Therefore, the potential length of a triangle's third side is 17-11<x<17+11.

= 6 < x< 28

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As a result, the third side of a triangle may be equal to 17-11<x<17+11 is equals to 6 < x< 28.

The third side of a triangle must always have a length that is between the sum and difference of the other two sides, but is not exactly equal to either. As an illustration, think about cases 2, 6, and 7. Therefore, the third side length must be more than 4 and lower than 8.

The Triangle Inequality Theorem states that any two triangle sides must add up to greater than the length of the third side. Multiply the sum of the two sides by the difference of the two sides to determine the potential length of a triangle.

Consequently, 17-11<x<17+11.= 6 < x< 28 is the possible length of the third side of a triangle.

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the area of trapezoid $abcd$ is $80$. one base is $12$ units longer than the other, and the height of the trapezoid is $5$. find the length of the median of the trapezoid.

Answers

The trapezoid abcd median is 16 lengths long.

Regarding the query,

Considering that,

The trapezoid's area is equal to 80,

The trapezoid abcd is 5 inches tall.

Let a be the base of the trapezoid abcd.

So, b = a + 12 ,

In the formula Area of the trapezoid = A =(a+b)h/2, the value is substituted.

(a + a + 12)5/2 = 80

(2a + 12)5 = 160

2a + 12 = 160/5

2a + 12 = 32

2a =32 - 12

2a = 20

a = 20/2

a = 10 units

additional base is 10 + 12 = 22 units.

Therefore, the median's length will be equal to (10 + 22)/2.

= 32/2 = 16 units

As a result, the median's length is 16.

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Determine the intercepts of the line.
Do not round your answers.
y=-3x+12
y-intercept:
x-intercept:

Answers

Answer:

y- intercept = 12, x- intercept = 4

Step-by-step explanation:

to find the y- intercept, the point where the line crosses the y- axis.

let x = 0 in the equation and solve for y

y = - 3(0) + 12 = 0 + 12 = 12

then y- intercept = 12

to find the x- intercept, where the line crosses the x- axis.

let y = 0 in the equation and solve for x

0 = - 3x + 12 ( subtract 12 from both sides )

- 12 = - 3x ( divide both sides by - 3 )

4 = x

then x- intercept = 4

the back of dante's property is a creek. dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. if there is 200 feet of fencing available, what is the maximum possible area of the corral?

Answers

If there is 200 feet of fencing available, the maximum possible area of the corral is 5000 Feet.

In the question, if there is 200 feet of fencing available, then we have to find the maximum possible area of the corral.

The formula of area of rectangle is:

A = L × B, where L is the length of the rectangle and B is the breadth of the rectangle.

The A = 200 feet and rectangular area is enclosed using the creek as one side and fencing for the other three sides, to create a corral.

So, L + 2B = 200

Subtract L on both side, we get

2B = 200 - L

Divide by 2 on both side, we get

B = 100 - L/2

A = f(L)

A = L·(100 - L/2)

A = 100L - [tex]L^2[/tex]/2

Now finding the derivative.

A' = [tex]\frac{df(L)}{dL}[/tex]

A' = -L + 100

Let A' = 0

-L + 100 = 0

Subtract 100 on both side, we get

-L = -100

L = 100 feet

Now putting the value of L in B = 100 - L/2.

B = 100 - 100/2

B = 100 - 50

B = 50 feet

The maximum possible area of the corral = 100 × 50

The maximum possible area of the corral = 5000 Feet

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I need help understanding how to do this

Answers

Answer:

113.04

Step-by-step explanation:

see attached

stressed out, part ii. in a study evaluating the relationship between stress and muscle cramps, half the subjects are randomly assigned to be exposed to increased stress by being placed into an elevator that falls rapidly and stops abruptly and the other half are left at no or baseline stress. can this study be used to conclude a causal relationship between increased stress and muscle cramps?

Answers

The following type of study can be concluded as an observational study.

An observational study is a type of study that is used to gather data on the characteristics and behaviors of a particular group of people or subjects without actively manipulating or interfering with the subjects.

This study can be used to suggest a causal relationship between increased stress and muscle cramps, but it cannot conclusively prove causality.

There are several reasons why this study design cannot be used to conclude a causal relationship. First, the study is a non-randomized, uncontrolled experiment, which means that there may be other factors that could be influencing the results.

For example, the subjects in the stress group may have other characteristics or preexisting conditions that are related to muscle cramps. Additionally, the study does not have a control group for comparison, so it is not possible to determine if the muscle cramps are caused by stress or by some other factor.

Second, the study design is a single-blind study, which means that only the subjects are not aware of their group assignment, but the experimenter knows which group the subjects are in. This can lead to bias in data collection, analysis, or interpretation.

Therefore, The following type of study can be concluded as an observational study.

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Solve the equation with the quadratic
formula. Enter the smallest solution
first and round to the nearest tenth.
2x² - 4x - 48 = 0
x = [?], [?]

Answers

For the quadratic equation 2x² - 4x - 48 = 0 value of x is 6 and -4.

What is quadratic equation?

The second-degree equation is a quadratic equation. This indicates that it has at least one (1) squared phrase. Ax2 + bx + c = 0 is one of the most used formulas for solving quadratic equations. Here, a, b, and c are constants or numerical coefficients. Here, the variable "X" is unknowable.

ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

We have a quadratic equation;

2x² - 4x - 48 = 0

To find the value of x we have to follow these steps ;

(2x^2 -  4x) -  48  = 0

Pull out like factors :

2x^2 - 4x - 48  =   2 • (x^2 - 2x - 24)

x2 multiplied by 2x and 24

x^2 is the initial term, and it has a coefficient of 1.

The coefficient of the middle term, which is -2x, is 2.

"The constant," the final term, is -24.

⇒ x^2 - 6x + 4x - 24

⇒   (x+4)  •  (x-6)

⇒ 2 • (x + 4) • (x - 6)  = 0

therefore x+4 = 0

 x = -4

and   x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

Hence, for the quadratic equation 2x² - 4x - 48 = 0 value of x is 6 and -4.

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Sammy wants to know what percent of students at her high school have a driver’s license. She surveys all students in her statistics class and finds that 68% of the students in her sample have a driver’s license.

What type of sample did Sammy obtain?

Explain why this sampling method is biased. Is 68% likely to be greater than or less than the percent of all students at her high school who have a driver’s license?

Explain how Sammy could avoid the bias described in part (b)

Answers

Sammy obtained a convenient sample.

The sampling method is biased because the students in the statistics class are not representative of the entire high school population. The sample only includes the students in one particular class and does not account for the experiences or characteristics of other students in the school.

68% is likely to be greater than the percent of all students at the high school who have a driver's license.

To avoid the bias, Sammy could use a more representative sample, such as a simple random sample or a stratified sample, to ensure that the sample includes a diverse group of students from various backgrounds, classes, and demographics. This would give a more accurate representation of the experiences and characteristics of the entire high school population.

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Which kind of cycle is the rock cycle-one with a set path or one with many possible paths? Construct an explanation that describes at least two possible changes to a rock. If you borrow $220,000 at an APR of 3.5% for 25 years, you will pay $1,101.37 per month. If you borrow the same amount at the same APR for 30 years, you will pay $987.90 per month.a. What is the total interest paid on the 25-year mortgage? b. What is the total interest paid on the 30-year mortgage? a spherical balloon is inflated so that its volume is increasing at the rate 6 cm^3/min. at what rate is the radius increasing when the radius is 3 cm Evaluate: 3(x+4)(x+1) / (x+2)(x-2) for x = 4A.10/3B.10C.-10/3D.-10 I need help, please. This is overdue. I need the answers asap(Please don't search up these questions, answer them by knowledge please)(You will get brainliest if it's helpful) which of the following is also called learning theory because it describes the laws and processes by which actions are learned? Your boss is the director of reporting for the Athens County Construction Agency (ACCA). It has been his job to track the cost of construction in Athens County. Twenty-five years ago he created the ACCA Cost Index to track these costs. Costs during the first year of the index were $12 per square foot of constructed space (the index value was set at 100 for that first year). This past year a survey of contractors revealed that costs were $72 per square foot. What index number will your boss publish in his report for this year FILL IN THE BLANK Many European countries follow the theory of ______, which is a hybrid system combining a capitalist economy and a government that supports equality. how does shakespeare present attitudes to death in romeo and juliet occurs when a behavior in a particular situation is followed by a reinforcing consequence, thus making the behavior more likely to occur in similar circumstances in the future.a. trueb. false a 22-year-old woman pregnant with a single fetus has a preconception body mass index (bmi) of 24. when she was seen in the clinic at 14 weeks of gestation, she had gained 1.8 kg (4 lb) since conception. how would the nurse interpret this? What is the purpose of this section of the US Constitution?to limit the powers of the representativesto establish rules for electing representatives to Congressto explain how the representatives of government will make lawsto show how the three branches of representatives will work togetherAnswer=B A mountain has a snow line at an elevation of 9000 feet which runs parallel to its base. The mountain is a triangle, the length of the snow line is 2. 4 times the height of the snow covered part of the mountain. If the snow covers 1,200,000 square feet of part of the mountain, how high is the mountain? This image is by Milton Glaser, and was a poster for tenth anniversary of holocaust museum. It was created using a stone press on which areas are made receptive to ink. This form of printing is known as at westville high school there are 315 seniors and 389 juniors. 65% of the seniors have parkign passes and 42% of teh juior have parking passes. the statistics teacher selects a srs of 30 seniors and a seperate srs of 30 juniors. imagine that a recent study found that people who eat large amounts of bananas get bitten by mosquitoes on average more often than people who eat smaller amounts of bananas. what causal relationship can we conclude from this study alone? is the lower legislative house in the united states congress. A 3.0-cm object is placed 8.0 cm in front of a mirror. The virtual image is 4.0 cm further from the mirror when the mirror is concave than when it is planar. . Determine the focal length of the concave mirror. (a) 6.0 cm (c) 24 cm (e) 96 cm (b) 12 cm (d) 48 cm . Determine the image height in the concave mirror. (a) 0.5 (c) 2.0 (e) 4.5 (b) 1.5 (d) 3.0 whats the mean median mode and range of 75 55 68 44 82 28 19 31 75 36 59 93 48 I need the answer as soon as possible!3x + 4y^2 ; x = -3 and y = 5Thank You!