A cyclist rides 8 miles in 30 minutes.

What is the speed of the cyclist in miles per hour? Round to the nearest mile per hour.

WHAT IS THE ANSWER

Answer:

Step-by-step explanation:

The standard form is:

Use coordinates of the line F:

The slope is:

The y- intercept is 3

Use slope- intercept form and convert into standard form:

Answer:

\(3x+4y=12\)

Step-by-step explanation:

First we need to the know standard form and slope-intercept form, both of which are:  \(ax+by=c\) (standard) & \(y=mx+b\) (slope)

Since we are given two ordered pairs to work with, we can use them to find the slope of our line using the slope formula. y2 - y1 / x2 - x1

(0, 3) would be x1 and y1 while (4, 0) would be x2 and y2

As such:  \(\frac{0-3}{4-0} =-\frac{3}{4}\)

Now since our y-intercept is given to us, we can just plug it into "b" in our  slope-intercept form equation. This would give us: \(y=-\frac{3}{4}x+3\)

Now we need to convert this equation into standard form; remember the format as stated above!

First lets add \(\frac{3}{4}x\) to the -3/4x in order to move it to the other side of the equation.

\(\frac{3}{4}x+y=3\)

Now we need to multiply the entire equation by the reciprocal of 3/4, this would be 4/3; so we multiply the entire equation by 4!

\(3x+4y=12\)

Huzzah! There is our answer!

Hope this helped! If you have any questions feel free to ask!

To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

Learn more about project:

https://brainly.com/question/25009327

#SPJ11

Answer:

inputs:outputs

7:8

output is equal to input plus one

Step-by-step explanation:

award brainliest

Answer:

2827.43

Step-by-step explanation:

Answer: Radius. I hope this helps.

Step-by-step explanation:

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

The scientific notation or representation of expression (2.5 X 1/10²)(4.2 X 10⁶) is equal to 10.5×10⁴.

Scientific notation is a way of writing very large or very small numbers. Numbers are written in scientific notation as a number from 1 to 10 multiplied by a power of 10.For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸. 

Scientific notation is utilized by scientists, mathematicians, and engineers whilst they may be operating with very huge or very small numbers

Solution for scientific notation according to the information given:

(2.5 X 10^-2)(4.2 X 10⁶) = 2.5 ×(1/10²) × 4.2 × 10⁶

                                        = 2.5 × 4.2 × 10⁴

                                        = 10.5 × 10⁴

To learn more about scientific notation, visit the link below

https://brainly.com/question/18073768

#SPJ1

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

(a) The predictor variable is Fall in feet and the response variable is Duration in seconds.

(b) The slope is in seconds per foot.

(c) The slope may be negative, as greater drop heights generally result in longer travel times.

(a) The predictor variable in this regression is Drop, which represents the drop height of the roller coaster, in feet, in feet. The response variable is Duration, which represents the duration of the trip, in seconds, in seconds.

(b) The units of slope in this regression are seconds per foot. This means that for each unit of increase in descent height in feet, the travel time will increase or decrease the value of the slope, measured in seconds per foot.

(c) The slope can be negative, as greater drop heights generally result in longer ride times, and the Tower of Terror roller coaster, which was exceptionally short despite its large drop height, has were removed from the analysis.

Therefore, the remaining 90 roller coasters in the dataset likely exhibit a negative relationship between drop height and time, meaning that as drop height increases, ride time decreases .

The Low R-value squared 29.4% means that the relationship between roller coaster drop and ride time in the data set is highly variable, but the negative slope indicates a general downward trend.

Learn more about Slope:

https://brainly.com/question/3605446

#SPJ4

Answer:

it shows a correlation and a causation

Step-by-step explanation:

shows a correlation because it's showing a positive correlation

it's showing a causation because the more water park admission the more ice cream sales there are

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

Answer:

\(u_{n} = 2n^{2} -4n-3\)

Step-by-step explanation:

a +b + c = - 5    First term in sequence

3a + b = 2   Difference between first two terms

2a = 4         Difference between  the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)

2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so  b = -4; 2 - 4 + c = -5  → -2 + c = -5 so c = -3

a. The area of one window is 0.72 m².

b. The area of the vent, rounded to one decimal place is 0.2 m².

c. The area of the rectangular part of the wall is 13 m²

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of one window = 1.2 × 0.6

Area of one window = 0.72 m²

Part b.

In Mathematics and Geometry, the area of a circle can be calculated by using this mathematical equation (formula):

Area of circle = π × (radius)²

Area of vent = 3.14 × (0.5/2)²

Area of vent = 0.19625 ≈ 0.2 m².

Part c.

Area of rectangular part of the wall = 2.6 × 5

Area of rectangular part of the wall = 13 m²

Read more on area of a rectangle here: brainly.com/question/29604954

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

Learn more about multiplication here:

https://brainly.com/question/30340107

#SPJ1

Answer:

the area of the space he can cover with carpet =  16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet =  A+B+C+D

the area of the space he can cover with carpet =  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards²

the area of the space he can cover with carpet =  16x⁴ yards²

The real part of the complex number is -5 and the imaginary part is -7i

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

Complex number = -7i - 5

For a complex number represented as

a + bi

We have

Real = a

Imaginary = bi

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

Real = -5

Imaginary = -7i

Hence, the real part is -5 and the imaginary part is -7i

Read more about complex number at

https://brainly.com/question/28007375

#SPJ1

On solving for hyperbolic function we get:

sech(x) =7/25

sinh(x) =24/7

csch(x) = 7/24

tanh(x) = 24/25

coth(x) =24/25

The cosh(x) function is a hyperbolic function which is equal to the ratio of the exponential function ex plus e-x over two.

Given that cosh(x) = 25/7 and x > 0, we can use this to solve for the other hyperbolic functions at x.

sech(x) = 1/cosh(x) = 7/25

sinh(x) = (e^x - e^(-x))/2 = (1/2) sqrt(7/25 - 25/49) = 24/7

csch(x) = 1/sinh(x) = 7/24

tanh(x) = sinh(x)/cosh(x) = (24/7)/(25/7) = 24/25

coth(x) = cosh(x)/sinh(x) = (25/7)/(24/7) = 25/24

To learn more about hyperbolic functions:

https://brainly.com/question/17131493#

#SPJ11

Answer:

Oooo I’m doing a question just like that one on my hw

Step-by-step explanation:

Answer:

Maggie is 6 years old

Step-by-step explanation:

M + B = 26

B = 26 - M

4M - 4 = B

4M - 4 = 26 - M

5M = 30

M = 6

Maggie is 6 years old

Answer:

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Step-by-step explanation:

A bag of skittles contains only red, yellow, and green colors.

The respective ratios are 1:3:5 for those three colors.

We have

red: yellow: green

1:3:5

The sum of the proportion = 1 + 3+ 5 = 9

If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?

Hence,

Number of red skittles is calculated as:

1/9 × 36 skittles

= 4 skittles

Number of yellow skittles is calculated as:

3/9 × 36 skittles

= 12 skittles

Number of green skittles is calculated as:

5/9 × 36 skittles

= 20 skittles

Therefore, the number of

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Answer:

1, 2, 4 are functions

3 are not

Answer:

Sn=a1(1−rn)1−r,r≠1 C.

Answer:

D.

Step-by-step explanation:

225 greeting cards

25 fathers day cards

How much would be expected to have fathers day cards be bought next year?

___________________________________________________________

Create a proportion of Fathers Day Cards bought and the amount of greeting cards bought.

\(\frac{45}{100} = \frac{x}{225}\)

You then would cross multiply, since we are finding x, let's isolate it. :

\(\frac{45*225}{100 * x}\)

\(10,125 = 100x\)

Divide both sides by 100 :

x = 101.25

We can round this to the nearest tenth, since the ones place is 1. It rounds down.

x = 100

Answer:

x² - 16x + 49 = 0

Step-by-step explanation:

If a polynomial has roots a and b, then the polynomial is (x - a)(x - b).

[x - (8 + √15)][x - (8 - √15)] = 0

[(x - 8) - √15][(x - 8) + √15] = 0

(x - 8)² - (√15)² = 0

x² - 16x + 64 - 15 = 0

x² - 16x + 49 = 0

Answer:

Ans = 1980

Step-by-step explanation:

(10 x 100 ) + 980 = (1000) + 980

therefore

1980 is the answer

Answer:

Step-by-step explanation:

sin30=a/17

a=17sin30

a=8.5 m

Answer:

f = -5

Step-by-step explanation:

If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.

If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.

2x - 1 = 0

2x = 1

x = 1/2

Hence

f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f

= 16(1/16) + 24(1/8) + 1 + f

= 1 + 3 + 1 + f

= 5+ f

f = -5

We can infer that there are more flaws caused on the day shift at the 0.05 significance level.

To determine if there are more defects produced on the day shift compared to the afternoon shift, we can conduct a one-tailed paired t-test. Let's go through the steps:

1. Null and alternate hypotheses:

H0: μd ≤ 0 (There is no significant difference or the day shift has fewer defects)

H1: μd > 0 (There are more defects on the day shift)

2. Sample information:

Day:                      1   2   3   4

Day shift:             10  12  15  19

Afternoon shift:    8    9    12  15

3. Calculate the differences:

We calculate the difference between the day shift and afternoon shift for each day:

d = (Day shift) - (Afternoon shift)

d = 10-8, 12-9, 15-12, 19-15

d = 2, 3, 3, 4

4. Calculate the mean and standard deviation of the differences:

Mean (xd) = (2+3+3+4)/4 = 3

Standard deviation (sd) = √[(Σ(d-xd)²)/(n-1)]

                     = √[(0²+1²+1²+2²)/3]

                     ≈ √(6/3)

                     ≈ √2

                     ≈ 1.414

5. Calculate the test statistic:

t = (xd - μd)/(sd/√n)

  = (3 - 0)/(1.414/√4)

  = 3/0.707

  ≈ 4.243

6. Degrees of freedom:

Degrees of freedom (df) = n - 1 = 4 - 1 = 3

7. Decision rule:

Since we are conducting a one-tailed test at the 0.05 significance level, the critical t-value is obtained from the t-distribution table for df = 3 and α = 0.05. The critical t-value is approximately 2.920.

8. Decision regarding H0:

If the calculated test statistic (t) is greater than the critical t-value, we reject H0. Otherwise, we do not reject H0.

9. P-value:

To find the p-value associated with the calculated test statistic, we need to look it up in the t-distribution table or use statistical software. The p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming H0 is true. In this case, the p-value is less than 0.005 (Between 0.0005 and 0.005).

Summary:

- Decision rule: Since the calculated test statistic (4.243) is greater than the critical t-value (2.920), we reject H0.

- The p-value is less than 0.005.

- Decision regarding H0: We reject H0.

Therefore, at the 0.05 significance level, we can conclude that there are more defects produced on the day shift.

To know more about hypotheses refer here:

https://brainly.com/question/28331914?#

#SPJ11

Answer:

Yep

Step-by-step explanation:

Hfbdjdjdkdjdjkeied

Answer:

The answer is 80 because 10x8 is 80 and the nearest 10 means it need to have a 0 behind so it is 80

Answer:

y= -3x + 5

Step-by-step explanation:

The slope of the line is m=−3

m=−3.

The equation of the line in the slope-intercept form is y=−3x+5y=−3x+5.

The equation of the line in the point-slope form is y−5=−3xy−5=−3x.