You ride your bike 1 3/10 mi to school. At the end of the day, you stop at a park on the way home. The park is 25 mi from school. Question : how far is the park from your house

Answer:

16 2/45

Step-by-step explanation:

10 + 5= 15

1/9 + 14/15= 47/45

47/45= 1 2/45

1 2/45 + 15= 16 2/45

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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Answer:

Option B, The mean will increase, but the median will remain the same.

Step-by-step explanation:

Given

Mean value is  \(31.52\) dollars

Median Value is \(32\) dollar.

Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.

Here the mean is 31.25

Total money would be \(31.25 * 25 = 781.25\\\)

A number is changed from 2 to 20 , i.e addition of 18 dollars

the new mean would be 781.25 + 18/25 = 31.97

However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.

Option B is correct

Answer:

x³ - 8

Step-by-step explanation:

Answer:

C. 60 among 200 students would like Tulip (Assuming pie chart - 15 among 50 students like Tulip)

Step-by-step explanation:

Percent students liking tulip = (Tulip liking students / Total students) x 100

= (15 / 50) x 100 = 30%

Expected students to like Tulip among 200 students =  30% of 200

( 30 / 100 ) x 200

= 60 students

Answer:

f(-5) = 22

Step-by-step explanation:

f(x) =-3x+7

Let x = -5

f(-5) =-3*-5+7

      = 15 +7

       =22

The ratio of girls to boys in the class is 3:7.

To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.

Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:

Number of girls = Total number of students - Number of boys

Number of girls = 50 - 35

Number of girls = 15

Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 15 / 35

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:

Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)

Ratio of girls to boys = 3 / 7

This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.

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The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

The parameters given in this sample are:

Population proportion: p = 0.35

Sample size: n = 90

The standard error is calculated as:

Standard error = √(0.35 × 0.65/90) = 0.05

phat = sample proportion

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z₁ = (0.32 - 0.35)/0.05 = -0.6

z₂ = (0.46 - 0.35)/0.05 = 2.2

Using online p-value between two z-scores calculator, we have:

p = 0.7118

Hence, the probability that the sample proportion is between 0.32 and 0.46 is 0.7118

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The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

To find the proportion of a given value within a sample, you need to divide the number of occurrences of that value by the total sample size.

In this case, the proportion = 0.35

sample = 90 is not provided.

First, Standard error = √(0.35 * 0.65/90) = 0.05

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z1 = (0.32 - 0.35)/0.05 = -0.6

z2 = (0.46 - 0.35)/0.05 = 2.2

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It will take 21/2 tiles to cover the length of the floor and it will take 13/2 tiles to cover the width of the floor.

What is width?

Width is a term used to describe the measurement of the shortest side or dimension of an object or space.

To determine the number of tiles needed to cover the length of the bathroom floor, we need to divide the length of the floor by the length of each tile. Similarly, to determine the number of tiles needed to cover the width of the floor, we need to divide the width of the floor by the width of each tile.

First, we need to convert the mixed numbers of the length and width to improper fractions:

Length = 10 1/2 feet = (2 x 10 + 1)/2 = 21/2 feet

Width = 6 1/2 feet = (2 x 6 + 1)/2 = 13/2 feet

Now, let's assume that each tile is 1 foot by 1 foot. Since each tile covers an area of 1 square foot, the number of tiles needed to cover a rectangular area can be calculated by dividing the total area of the rectangle by the area of each tile.

To determine the number of tiles needed to cover the length of the floor, we divide the length of the floor by the length of each tile:

Number of tiles to cover length = Length / Length of each tile

= (21/2) / 1

= 21/2

Therefore, it will take 21/2 tiles to cover the length of the floor.

To determine the number of tiles needed to cover the width of the floor, we divide the width of the floor by the width of each tile:

Number of tiles to cover width = Width / Width of each tile

= (13/2) / 1

= 13/2

Therefore, it will take 13/2 tiles to cover the width of the floor.

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Answer:

k=0.4

Step-by-step explanation:

y=kx, x=10, y=4

k=y/x

k=4/10 = 0.4

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

Answer:

4 5/12 %

4.41667 %

Dividend = 13 1/4 %

Divisor = 3 hours

Quotient = 4 5/12 %

Step-by-step explanation:

Given that :

Percentage charge left = 23 1/4%

Percentage to be used hourly such that atleast 10% is left in other to make a call 4 hours from now

Hence,

Usable charge = Percentage left - target percentage

23 1/4 % - 10% = 13 1/4 %

Number hours of usable charge = 4 - 1= 3 hours

13 1/4 % ÷ 3

53/4 % ÷ 3

4.41666 % per hour

Or

53/4 * 1/3 = 53/12 =4 5/12 %

Dividend = 13 1/4 %

Divisor = 3 hours

Quotient = 4 5/12 %

The length of the segment shown in the graph is 10 units

The endpoints on the line segment are : (2, - 1) and (-4,7)

The Length of a line segment can obtained using the relation :

Length = √(x2 - x1)² + (y2 - y1)²

Here,

x2 = - 4, x1 = 2, y2 = 7, y1 = - 1

Length of segment = √((-4) - 2)² + (7 - (-1))²

Length of segment = √(-6)² + (8)²

Length of segment = √36 + 64

Length of segment = √100 = 10 units

Therefore, the length of the segment on the graph shown is 10 units.

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Answer: 450

Step-by-step explanation: 95+115+240=450

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Answer:

The function that can be used in the online shopping club about its monthly revenue is:

\(R = -400x^{2} +7200x+70000\)

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

How the variable \(x\) represents the price increase, we can do the formula below:

In this formula, we represent in the first part that by each 1 in the variable \(x\), the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of \(x\). Now we must simplify this function:

We operate the values:

Solve we can:

And organize:

At the end, how \(R\) represents the monthly revenue received by the club, we use that variable for our formula:

Answer:

5:8

Step-by-step explanation:

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Translation is the movement of a point up, down, left or right.

Transformation is the movement of a point from its initial location to a new location.

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Therefore the coordinates remains same as previous figure.

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Answer:

the answer i would go with is A

Good luck on your Test :)

Step-by-step explanation:

B doesnt really have a constant rate of change as it depends on how many games happen and usually the longer an arena stays open has no correlation on how many people attend the games there

C has no real constant rate of change as it always ends up stopping after a little bit, and the change is usually not a constant one

D this could count, but since its a number that would go down if its not brought back up, its not a real constant rate of change, since it cant go below or above a certain range

so by process of elimination, A is the answer. also seeing as how its saying the distance with the number of times, that means that its an objective thing, as a track is a set distance, and the distance of a run or the track cant be affected by time or anything and could technically never end. so its a constant thing, meaning the longer the distance is, the higher the laps around the track are, and it could theoretically go on forever.

i hope this helped answer your question! :)

Answer:

Step-by-step explanation:

Answer:

$62.50

Step-by-step explanation:

The amount of private mortgage insurance required in this case per annum is 0.75% of the entire loan which is $100,000.

Annual insurance=0.75%*loan amount

Annual insurance=0.75%*$100,000

Annual insurance=$750

Since the annual cost of mortgage insurance per year is established, monthly cost would be annual cost divided by 12 months is which is number of months in a year that payments are to be made

monthly payment=$750/12

monthly payment=$62.50

Answer:

A

Step-by-step explanation:

Answer:

p = 7

Step-by-step explanation:

trust me

Answer:

p = 7

Step-by-step explanation:

Given value of q = 4 so,

5p - 11 = 6 × 4

=> 5p = 24 + 11

=> 5p = 35

\( = > p = \frac{35}{5} \)

=> p = 7(Ans)

Answer:

y=-x-3

Step-by-step explanation:

The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

The area of a parallelogram is the product of its base and its perpendicular height. It is given by:

Area = base * perpendicular height

If Height of parallelogram is 3m and Area is 9m². Let h represent the height, hence:

Area = base * perpendicular height

Substituting:

9 = 3 * h

h = 3 m

A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

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The experimental research conducted by the scientist takes into account the following factors:

a)The change in temperature is the independent variable.

b) The effect of temperature on the chimp's act of aggression is the dependent variable.

c)The dependent variable is continuous.

d)The scale of measurement used to measure the dependent variable is interval.

e) The research method being used here is experimental.

In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.

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