Diego has a skateboard, scooter, bike, and go-cart. He wants to know which vehicle is the fastest. A friend records how far Diego travels on each vehicle in 5 seconds. For each vehicle, Diego travels as fast as he can along a straight, level path.


What is the distance each vehicle traveled in centimeters?



Skateboard:
cm

Scooter:
cm

Bike:
cm

Go-Cart:

Answer:

which of what ?

and the equation is not right. I don't know what you mean.

do you mean x = sqrt(-2) ?

all I can tell you just based on that assumption is that you can transform that into

\(x = \sqrt{2} \times i\)

you know,

\(i = \sqrt{ - 1} \)

but what else you might need is completely unclear.

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

To learn more about the repeated and independent measures, click here: https://brainly.com/question/15690601

#SPJ11

Answer:

x = 4.9 cm

Step-by-step explanation:

Note that sin theta = (opp side) / (hypotenuse), and that:

hypotenuse      (opp side)

------------------ = -----------------

         1                sin theta

and so:

hypotenuse      (opp side)                                           4 cm

------------------ = -----------------  or  hypotenuse = ---------------------------- = x

         1                sin theta                                     sin (55 degrees)

                     4 cm

Thus, x =  --------------- = x = 4.88 cm or (to 1 DP)        x = 4.9 cm

                    0.819

Answer:

58

Step-by-step explanation:

sinh=oppo/hypo

sinh=8/15

h=sin^-1(8/15)

h= 32.231 degrees

180 - (90+32)= X

X=58

Answer: 32.23°

Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B

The distance from the helicopter to the car and the road forms a right triangle

=> ΔABC is a right triangle at B

=> the angle of depression from  the helicopter from the car is ∠ACB

we have: ΔABC is a right triangle => sin ∠ACB = 24/45

=> m∠ACB = 32.23°

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step 1: Add 19 to both side

b-19+19=-11+19

b=8

Hope I helped:D

Answer: b = 8

Step-by-step explanation: To solve for b in this equation, we want to get b by itself on the left side of the equation.

Since 19 is being subtracted from b, to get b by itself,

we need to add 19 to the left side of the equation.

If we add 19 to the left side, we must also add 19 to the

right side in order to keep our equation balanced.

Notice that on the left side, -19 and +19 cancel

each other out so we're simply left with b.

On the right side, -11 + 19 equals 8.

So we have b = 8.

Answer:

Step-by-step explanation:

let 'x' represent the amount removed, then we require:

40-0.25 <= 48-x <= 40+0.25

which solves to:

7.75 <= x <= 8.25

the carpenter must saw off between 7.75 and 8.25 inches

When P is true, and Q is false, the proposition P ⊃ Q is false. Therefore, the answer is TFTT. The correct answer is option d. TFTT.

The given truth table for the compound proposition P ⊃ Q is: P Q P⊃QT T T T T F FT F T T F

The conditional P ⊃ Q implies that whenever the antecedent P is true, then the consequent Q is true as well.

This implies that the only time the conditional P ⊃ Q is false is when the antecedent is true, but the consequent is false.

Since we see in the truth table that when P is true, and Q is true, the proposition P ⊃ Q is also true.

However, when P is true, and Q is false, the proposition P ⊃ Q is false. Therefore, the answer is TFTT.

Learn more about  truth table here:

https://brainly.com/question/30588184

#SPJ11

To find the height of the can, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the radius is in inches and the volume is 12 cubic inches, so we can substitute these values into the formula and solve for h.

First, we need to find the value of the radius, which is given as "in". It is likely that the radius was measured in inches, so we will assume that "in" means inches. Therefore, the radius is r = in = 1 inch.

Now we can substitute the values into the formula and solve for h:

12 = π(1^2)h

h = 12/(π)

h ≈ 3.8 inches (rounded to the nearest tenth)

Therefore, the height of the can of ground coffee is approximately 3.8 inches.

To learn more about volume of a cylinder, click here:

brainly.com/question/15891031

#SPJ11

Answer:

x=-2, y=3

Step-by-step explanation:

substitute 11 + 4x into the second equation for y

3x + 2(11+4x) =0

3x +22+8x=0

11x=-22

To solve for y: y=11+4(-2)

Based on the given parameters, the amount of the investment after 4 years is $1030

The given parameters about the compound interest are

Principal Amount, P = $1000

Interest Rate, R = 0.85%

Time, t = 4

Number of times, n = 1 i.e. annually

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R/n)^nt - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R/n)^nt - P

Evaluate the like terms

A = P(1 + R/n)^nt

Substitute the known values in the above equation

A = 1000 * (1 + 0.85%/1)^(1 * 4)

Express 0.85% as decimal

A = 1000 * (1 + 0.0085/1)^(1 * 4)

Evaluate the sum

A = 1000 * (1.0085/1)^(1 * 4)

Evaluate the exponent

A = 1000 * 1.03

Evaluate the product

A = 1030

Hence, the value of the investment is $1030

Read more about compound interest at:

brainly.com/question/24924853

#SPJ1

Answer:

576 adult tickets were sold at the school play.

Step-by-step explanation:

638 - 62 = 576

Answer:

576

Step-by-step explanation:

you would do 638-62 and get 576

Answer:

44%

Step-by-step explanation:

Total number of students = 100

Number of girls = 49

So,

Number of boys = Total number of students - Number of girls = 100 - 49 = 51

Number of girls liking biology the best = 22

Number of girls liking chemistry = 21

Total number of students liking chemistry = 35

So,

Number of boys liking chemistry = 35 - 21 = 14

Number of boys liking Physics = 15

Number of boys liking biology = Total number of boys - Number of boys liking Physics - Number of boys liking Chemistry = 51 - 14 -15 = 22

Total number of students (girls and boys) liking biology the best =  Number of boys liking Biology +  Number of girls liking Biology = 22 + 22 = 44

Percentage of students who prefer bio = \(\frac{44}{100} \times 100 = \bold{44\%}\)

Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.

Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.

Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.

Learn more about variable:

brainly.com/question/1511425

#SPJ11

A and B are independent events if, the probability of getting a red convertible is 0.10

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, in a video game, the probability of getting a red car is 0.25 (event A), and the probability of getting a convertible is 0.40 (event B).

We need to identify the condition for events A and event B being independent events.

We know that,

The events in probability two are independent if event one does not affect the other one.

The formula for independent events =

P(A∩B) = P(A) x P(B).

So,

P(A) = 0.25 and P(B) = 0.40

P(A∩B) = P(A)xP(B)

= 0.25 x 0.4

= 0.10

Hence, the events A and B are independent events if, the probability of getting a red convertible is 0.10

Learn more about probability, click;

https://brainly.com/question/11234923

#SPJ9

Answer:

I believe this is the answer you are looking for:

x3-6x2-7x

Step-by-step explanation:

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

Answer: \(12\pi\)

Step-by-step explanation:

The formula for area of a circle is \(\pi r^2=A\)

The formula for circumference of a circle is \(2r\pi=C\)

Where r is the radius

A is area

C is circumference

Knowing this we can sub our values in and solve for r in the formula for area

Divide both sides by \(\pi\) to isolate r

\(\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36\)

Take the square root of both sides

\(r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6\)

Now sub the value of r into the formula for circumference

\(2r\pi =C\\2(6)\pi =C\\12\pi\)

Answer:

\(12\pi \: c \: m\)

step by step explanation:

\(area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm \)

The required volume of the sphere is given as 33.49 cubic centimeters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
Radius of sphere = 2 cm
The volume of the sphere = 4/3πr³
                                 = 4/3 × 3.14 × 2³
                                 = 33.49 cm³

Thus, the required volume of the sphere is given as 33.49 cubic centimeters.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ1

An airplane traveling at an average speed of 866.1 km/hr would take approximately 3 hours and 15 minutes to reach its destination, covering a distance of 2,817 km.

To calculate the time it takes for the airplane to reach its destination, we divide the distance traveled by the average speed. In this case, the airplane covers a distance of 2,817 km and has an average speed of 866.1 km/hr. Dividing the distance by the speed gives us the time taken:

Time = Distance / Speed

Time = 2,817 km / 866.1 km/hr  

Calculating this, we find that the time taken is approximately 3.25 hours. To convert this into minutes, we multiply by 60:

Time = 3.25 hours * 60 minutes/hour  

This gives us a total time of approximately 195 minutes. Converting this into hours and minutes, we have 3 hours and 15 minutes. Therefore, an airplane traveling at an average speed of 866.1 km/hr would take approximately 3 hours and 15 minutes to reach its destination, covering a distance of 2,817 km.  

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ11

Answer:

$131.60

Step-by-step explanation:

Answer:

$131.60

Step-by-step explanation:

Selling Price = $98.75 + $98.75*33.3%

Selling Price = $98.75 + $32.88375

Selling Price = $131.63375

Selling Price = $131.60

In linear equation, 24.9  tall is the tree .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

We can set up a proportion comparing the height of each object to the length of the shadow.

     h/15 = 21.1/12.7

     h = 1.66 * 15  

   h   = 24.9

Learn more about linear equation

brainly.com/question/29739212

#SPJ4

Answer:

x=-7.35 or x=-12.64

Step-by-step explanation:

you have to use the quadratic formula

quadratic formula =

Answer:

Let's assume the man's monthly salary is "S" Ghana cedis.

According to the given information:

He spent 1/4 of his monthly salary on rent.

He spent 2/5 of his monthly salary on food.

He spent 1/6 of his monthly salary on books.

The amount of money he had left can be calculated by subtracting the total amount spent from his monthly salary.

Total amount spent = (1/4)S + (2/5)S + (1/6)S

Total amount left = S - [(1/4)S + (2/5)S + (1/6)S]

To find his monthly salary, we need to solve the equation:

Total amount left = 55000

S - [(1/4)S + (2/5)S + (1/6)S] = 55000

To simplify this equation, let's find a common denominator for the fractions:

S - [(15/60)S + (24/60)S + (10/60)S] = 55000

S - [(49/60)S] = 55000

To eliminate the fraction, we can multiply both sides of the equation by 60:

60S - 49S = 55000 * 60

11S = 3300000

Dividing both sides by 11:

S = 3300000 / 11

S ≈ 300000

Therefore, the man's monthly salary is approximately 300,000 Ghana cedis.

The probability of a player being between 5′3 ′′ and 5' 10" is 77%.

To calculate the probability of a player being between 5′3 ′′ and 5' 10", we need to standardize the values using the formula:

z = (x - μ) / σ

where x is the height of the player, μ is the mean height of the chess club members, and σ is the standard deviation of the heights.

For x = 5′3 ′′, z = (63 - 66) / 2 = -1.5

For x = 5'10", z = (70 - 66) / 2 = 2

Using a standard normal distribution table or calculator, we can find the area under the curve between z = -1.5 and z = 2, which represents the probability of a player being between 5′3 ′′ and 5' 10".

This area is approximately 0.7745 or 77%.

Therefore, the value obtained is 77%.

To know more about probability refer here:

https://brainly.com/question/11034287#

#SPJ11

The double integral that gives the volume bound between the surfaces 2 ―= 9, = 5, the xz-plane, and the xy-plane is ∬(2 ― - 5) dA.

To set up the double integral that represents the volume bound between the given surfaces, we need to consider the limits of integration and the integrand. Let's break down the problem step by step.

Step 1: Determine the limits of integration

The volume is bound between the surfaces 2 ―= 9 and = 5. Since we are working in the xz-plane and the xy-plane, the limits of integration will correspond to the x and z coordinates.

For the x-coordinate, we need to find the range over which the surface 2 ―= 9 exists. This implies that 2 ― = 9 when 2 = 9, resulting in x = 4. So, the limits of integration for x will be from 0 to 4.

For the z-coordinate, the surface = 5 indicates that z = 5. Therefore, the limits of integration for z will be from 0 to 5.

Step 2: Determine the integrand

The integrand represents the difference between the two surfaces that bound the volume. In this case, the surfaces are 2 ―= 9 and = 5. Hence, the integrand is (2 ― - 5).

Step 3: Set up the double integral

Combining the limits of integration and the integrand, we can set up the double integral:

∬(2 ― - 5) dA

where dA represents the differential area element in the xz-plane and the xy-plane.

Learn more about : volume bound

brainly.com/question/30785714

#SPJ1