p and q are two numbers such that p > q
When you subtract 15 from p and subtract 15 from a the
answers are in the ratio 2 : 1
When you add 30 to p and add 30 to q the answers are in the
ratio 5:4
Find the ratio p:q
Give your answer in its simplest form.​

If AC=10 inches and CB=5 inches what is AB...

now, AB= AC+CB

= 10+ 5

=15 inches......

hope it helps you.have a nice day/ night...........

Answer:

It depends on the positions of the points.

Step-by-step explanation:

Since there is no figure, we cannot tell what the correct answer is since there is more than one possibility.

Here is one valid possibility.

                                   10                     5

<----------------+--------------------------+------------+--------------------->

                    A                             C              B

Here we have point C between points A and B. Then according to the definition of a point between two points, we have AB = AC + CB.

AB = AC + CB

AB = 10 + 5

AB = 15

Here is another equally valid possibility.

                   <----------- AC = 10----------------->

                                                          5

<----------------+--------------------------+------------+--------------------->

                    A                             B              C

Here we have AC = 10 and CB = 5, but we have point B between points A and C. According to the definition of a point in between two points, we have AC = AB + CB

10 = AB + 5

AB = 5

AB may be 10 or 5 depending on the order of the points on the number line. That makes the problem ambiguous without a figure.

Answer:

{19,13,7,1}

Step-by-step explanation:

Since the domain is the input we have to plug in each of those numbers to get the range ( or the output.) When we plug in -4 we get 19. When we plug in -2 we get 13, when we plug in 0 we get 7 and when we plug in 2 we get 1. (:

To create the two groups, the researcher should take into account the fact that (B) each pair of students has a similar IQ or level of mathematical proficiency.

Pair testing is a software development technique in which two team members evaluate the software application while seated at the same keyboard.

One person conducts the testing while the other assesses or analyzes the testing.

One tester can work alongside a developer or business analyst, or two testers can collaborate on this, with each taking turns using the keyboard.

In agile software development, where two team members sit side by side to test the software application, this may be more relevant to pair programming and exploratory testing.

This will enable both participants to gain additional knowledge about the application.

This will enable ongoing testing while also focusing on the issue's primary source.

So, in the given situation the researcher should consider the fact that each pair of students has a similar IQ or level of mathematical skill when forming the two groups.

Therefore, to create the two groups, the researcher should take into account the fact that (B) each pair of students has a similar IQ or level of mathematical proficiency.

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Complete question:

A researcher wants to determine if eating more vegetables helps high school juniors learn algebra. One junior class has extra vegetables and another junior class does not. After 2 weeks, the entire both classes take an algebra test and the results of the two groups are compared. To be a valid matched pair test, what should the researcher consider in creating the two groups?

A. that the group without extra vegetables receives different instruction

B. That each pair of students has similar IQs or abilities in mathematics

C. that each class of students has similar ages at the time of the testing

D. that each class has similar average IQs or abilities in mathematics

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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To determine the degree of a polynomial function given in factored form, a good first step is to count the highest power of the variable in the factored expression.

In factored form, a polynomial function is expressed as the product of linear factors or irreducible quadratic factors.

Each factor represents a root or zero of the function.

The degree of a polynomial is determined by the highest power of the variable in the expression.

To find the degree of the function, examine each factor in the factored form.

For linear factors, the degree is 1 since the highest power of the variable is 1.

For irreducible quadratic factors, the degree is 2 since the highest power of the variable is 2.

By observing the highest power in the factored expression, you can determine the degree of the polynomial function.

If the highest power is 1, the polynomial has a degree of 1 (linear function). If the highest power is 2, the polynomial has a degree of 2 (quadratic function). And so on.

It's important to note that the degree of a polynomial corresponds to the highest power of the variable in the expression and not the number of factors.

The number of factors indicates the number of roots or zeros of the polynomial, but it doesn't determine the degree.

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Answer:

1064.8 km³

Step-by-step explanation:

The triangular base of the prism can be divided into a right triangle and an isosceles triangle. The right triangle has legs of 10 km and 8.8 km, while the isosceles triangle has two sides of 12 km and an altitude of 8.8 km.

To find the area of the triangular base, we can use the formula for the area of a triangle:

Area = ½ * base * height

For the right triangle, the base is 10 km and the height is 8.8 km, so the area is:

Area = ½ * 10 km * 8.8 km = 44 km²

For the isosceles triangle, the base is 12 km and the height is also 8.8 km, so the area is:

Area = ½ * 12 km * 8.8 km = 52.8 km²

The total area of the triangular base is the sum of the areas of the two triangles:

Total Area = 44 km² + 52.8 km² = 96.8 km²

To find the volume of the prism, we can multiply the area of the base by the height of the prism:

Volume = Base Area * Height

Volume = 96.8 km² * 11 km = 1064.8 km³

Rounding to the nearest tenth, the volume of the prism is 1064.8 km³.

The volume of the given triangular prism is 975.7 km³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

The figure is a triangular prism, with a triangular base and three rectangular faces.

To calculate the volume of the prism, we will use the formula V = Bh, where B is the area of the base and h is the height of the prism.

The area of the base can be calculated using Heron's formula:

Area = √s(s-a)(s-b)(s-c)

where a, b, and c are the side lengths of the triangle and s is the semi perimeter (half of the perimeter).

For this figure, the side lengths are 10 km, 12 km, and 13 km, and the semi perimeter is (10 + 12 + 13)/2 = 35/2 = 17.5 km.

Substituting these values into Heron's formula, we get:

Area = √(17.5)(7.5)(5.5)(4.5) = 88.7 km²

Now that we have the area of the base, we can use the formula V = Bh to calculate the volume of the prism:

V = 88.7 km² × 11 km = 975.7 km³

Therefore, the volume of the given triangular prism is 975.7 km³.

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Answer:

$37.60

Step-by-step explanation:

If 7 shirts = 32.90 then (32.90/7) x 8 = 37.60

The cross product a × b is 8e^-tj - 6etk.

To find the cross product a × b, use the formula:
a × b = (a₂b₃ - a₃b₂)i - (a₁b₃ - a₃b₁)j + (a₁b₂ - a₂b₁)k
Given the vectors a = i + etj + e^-tk and b = 7i + etj - e^-tk, we can identify the components as:

a₁ = 1, a₂ = et, a₃ = e^-t
b₁ = 7, b₂ = et, b₃ = -e^-t

Now, compute the cross product:
a × b = ((et)(-e^-t) - (e^-t)(et))i - ((1)(-e^-t) - (e^-t)(7))j + ((1)(et) - (et)(7))k
a × b = (-e^0 + e^0)i - (-e^-t - 7e^-t)j + (et - 7et)k
a × b = 0i + 8e^-tj - 6etk

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Answer:

y = -5x + 2

Step-by-step explanation:

Slope intercept form is:

\(y=mx+b\)

m - slope

b - y-intercpt

We are given the slope of '-5' and the y-intercept of '2'.

This means that -5 will replace m and 2 would replace b.

\(y=mx+b\rightarrow\boxed{y=-5x+2}\)

Hope this helps.

x^3-x^2-x+1=0

The answer to this problem is x=1, and x=-1.

sorry i took so long to answer hope this helps you fam:)

x^3 +x^2 +x +1 = 0

=> x^2( x + 1) + 1(x + 1) = 0

=> (x^2 + 1)(x + 1) = 0

x + 1 = 0

=> x = -1

x^2 + 1 = 0

=> x^2 = -1

answer is...

x=1,x=-1

Answer:

The Radiant Equivalent of 90 degrees, would be 1.57079633.

a. The mean of the given data set is 24.15.

b. The median of the given data set is 19.

c. The mode of the given data set is 12.

d. The range of the given data set is 91 (95 - 4).

e. The variance of the given data set is 616.23.

f. The standard deviation of the given data set is approximately 24.82.

g. The coefficient of variation of the given data set is approximately 0.408.

h. The interquartile range (IQR) of the given data set is 14 (Q3 - Q1).

i. The data set does not contain any outliers.

j. The probability of drawing a number higher than 20, if one number was drawn at random from the list, is 0.45 (9 out of 20 numbers are higher than 20).

k. The probability of drawing a number higher than 20, not putting it back, and then drawing a second number higher than 20 from the list is 0.21 (4 out of 19 numbers are higher than 20 after the first draw, and 3 out of 18 numbers are higher than 20 after the second draw).

l. The probability of drawing a number higher than 20 given that an even number was drawn is 0.545 (6 out of 11 even numbers are higher than 20).

The IQR is 14. No outliers exist in the data. The probability of drawing a number higher than 20 from the list is 0.45. The probability of drawing a number higher than 20 and then drawing a second number higher than 20 is 0.21. The probability of drawing a number higher than 20 given that an even number was drawn is 0.545.

In the given data set, the IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). Q1 is the median of the lower half of the data set, which is 15.75, and Q3 is the median of the upper half of the data set, which is 27.75. Therefore, the IQR is 14 (27.75 - 15.75).

To determine the presence of outliers, we use Tukey's fences rule, which defines outliers as values falling below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR. In this case, the lower fence is -4.5 and the upper fence is 48. As all the values in the data set fall within this range, there are no outliers present.

To calculate the probability of drawing a number higher than 20 from the list, we divide the count of numbers higher than 20 (9) by the total count of numbers (20), resulting in a probability of 0.45. The probability of drawing a number higher than 20 and then drawing a second number higher than 20 is calculated by considering the reduced sample size after the first draw.

After the first draw, there are 19 numbers remaining, and out of those, 4 are higher than 20. Therefore, the probability is 4/19, approximately 0.21. Finally, to calculate the probability of drawing a number higher than 20 given that an even number was drawn, we consider only the even numbers in the data set (11 in total). Among those even numbers, 6 are higher than 20, resulting in a probability of 6/11, approximately 0.545.

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Answer:

The answer is that in my case y (the smaller number) is 2 and x (the bigger number) is 6

Step-by-step explanation:

The equations are x=3*y and y+4=x. This makes y=2 and x=6.

we find that you would need to deposit approximately $15,000 to have a retirement fund of $93,447 after 41 years, assuming no additional deposits are made to the account.

To calculate the amount you need to deposit now to have a retirement fund of $93,447 after 41 years, we can use the formula for compound interest:

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

Where:
A = the future value of the investment (retirement fund)
P = the principal amount (the initial deposit)
r = annual interest rate (in decimal form)
n = number of times the interest is compounded per year
t = number of years

In this case, the future value (A) is $93,447, the annual interest rate (r) is 3% (0.03 in decimal form), the number of times interest is compounded per year (n) is 365 (since it is compounded daily), and the number of years (t) is 41.

Plugging in these values into the formula, we get:

93,447 = P(1 + 0.03/365)^(365*41)

To find the principal amount (P), we can isolate it on one side of the equation. Dividing both sides by (1 + 0.03/365)^(365*41), we have:

P = 93,447 / (1 + 0.03/365)^(365*41)

Calculating this expression, we find that you would need to deposit approximately $15,000 to have a retirement fund of $93,447 after 41 years, assuming no additional deposits are made to the account.

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First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

Hope this helps!

Answer: b(x) and c(x)

Step-by-step explanation:

Answer:not sure how to answer this but logically unless your coin is tampered with to put the odds in your favor then no you don't risk it because your playing fair if that makes sense, sorry i tried my best but you didn't give me all of the information.

Step-by-step explanation:

By breaking the front yard into two rectangles, we will see that the area of the front yard is 915 ft^2

The front yard is the green part of the map, we can break this into two rectangles.

One of the rectangles measures 35ft by 25ft, then its area is:

A = 35ft*25ft = 875 ft^2

The other rectangle (in the part that goes from H to Q) has a length of 8ft and a width of 5ft, then its area is:

A' = 8ft*5ft = 40ft^2

The total area of the front yard is the sum of the two that we got above:

area = A + A' =  875 ft^2 + 40ft^2 = 915 ft^2

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35

Step-by-step explanation:

200-60 =140

140/4 which is the bonus

you should get 35

Answer:

it should be 35

Step-by-step explanation:

if the combined total of both prizes is 200, and we know the first one is 60, the second prize must be 140. now because the second prize had a bonus of 4 times the original prize amount, we divide 140 by 4 and get 35.

35*4=140+60=200

200-60=140÷4=35

hope this helped

900 millimeters is equivalent to 35.433070866 inches.

Inches and millimeters are both units of measurement for length. To convert from millimeters to inches, we can use the conversion factor that 1 inch is equal to 25.4 millimeters. To convert 900 millimeters to inches, we can multiply 900 by the conversion factor.

The formula for converting millimeters to inches is:

inches = millimeters / 25.4

So in this case:

inches = 900 / 25.4

After doing the calculation, we find that 900 millimeters is equivalent to 35.433070866 inches.

It's important to note that the conversion factor is a constant value which is used multiple times during the conversion process.

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Answer:59.0551

Step-by-step explanation:

Answer:

its 0

Step-by-step explanation:

6 squared plus 2 squared = 40 40/4=10 10-10=0

Answer: D

Step-by-step explanation:

Assuming that the mean amount of coffee dispensed is 7 ounces and the standard deviation is 0, Approximately 16% of the cups should have less than 7.9 ounces of coffee.

Given that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 0.1 ounces, we can use the 68-95-99 rule to determine the percentage of cups that should have less than a certain amount of coffee.

For the first question, we want to find the percentage of cups that should have less than 7.9 ounces of coffee. Since this value is one standard deviation below the mean (i.e., 8 - 0.1 = 7.9), we know that approximately 16% of the cups should have less than this amount of coffee. This is because the 68-95-99 rule tells us that about 68% of the cups will have amounts of coffee within one standard deviation of the mean, which leaves approximately 16% of the cups with amounts less than one standard deviation below the mean.

For the second question, we want to find the percentage of cups that should have less than 8.4 ounces of coffee. Since this value is one standard deviation above the mean (i.e., 8 + 0.1 = 8.1), we know that approximately 84% of the cups should have less than this amount of coffee. This is because the 68-95-99 rule tells us that about 68% of the cups will have amounts of coffee within one standard deviation of the mean, and the remaining 32% will have amounts that are either more than one standard deviation below the mean or more than one standard deviation above the mean.

Since we know that the standard deviation is 0.1 ounces, we can say that 16% of the cups will have amounts less than 7.9 ounces and 16% will have amounts more than 8.1 ounces, which leaves approximately 68% of the cups with amounts between 7.9 and 8.1 ounces. Therefore, approximately 84% of the cups should have less than 8.4 ounces of coffee.

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Complete Question:

Due to random variations in the operation of an automatic coffee machine_ not every cup is filled with the same amount of coffee Assume that the mean amount of coffee dispensed is ounces and the standard deviation is 0. ounces. Use the 68-95-99 rule to complete the following What percent of the cups should have less than ounces of coffee? What percent of the cups should have less than 8.4 ounces of coffee? Approximately % of the cups should have less than ounces (Type an integer or decimal )

Answer:

(a) 0.00000221    (b) 4.2 x \(10^{5}\)

Step-by-step explanation:

(a)  \(10^{-6}\) means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221

(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x \(10^{5}\)

Answer:

152

Step-by-step explanation:

6840 divided by 45 is 152

Yes, Alex is correct as 35% of the circle will be created when a 35 angle is made in the circle. The survey shows 35% which we have to represent on the circle graph.

A pie chart is a type of graph that separates the data into sectors to show each sector's data as a percentage of the overall data and employs circular data recording. Each of these slices or segments represents a proportionate piece of the whole. Pie charts, also known as pie diagrams, make it easier to grasp and convey the data.

Here in the question,

Alex is correct as 35% of the circle will be created when a 35 angle is made in the circle. The survey shows 35% which we have to represent on the circle graph.

The part created or shaded by the 35 angle in the circle graph will represent the 35% of the result that shows in the survey.

As out of 100 the country represents 35% of the data.

So, if we assume the circle graph to be 100, than a 35 angle made will represent the data we have surveyed.

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Answer:

s

Step-by-step explanation:

Answer:

The number is 100 x greater than the other number

Step-by-step explanation:

406,000 is the number

400,060 is the comparing number

use a place value .Brainiest would be needed Please.

Given statement "3-4 If you know the rise and run of a fable roof, you can calculate the rake length and area using slope factors." is true. Because the rise and run of a gable roof allows you to calculate the slope factor, which can then be used to calculate the rake length and area of the roof.

If you know the rise and run of a gable roof, you can calculate the rake length and area using slope factors. The slope factor is a ratio that relates the length of the roof to the height of the roof.

The slope factor is calculated by dividing the rise of the roof by the run of the roof. Once you have the slope factor, you can use it to calculate the rake length and area of the roof.

The rake length is the length of the diagonal edge of the roof, and it can be calculated by multiplying the slope factor by the run of the roof.

For example, if the run of the roof is 10 feet and the slope factor is 0.5 (which corresponds to a 6:12 pitch), then the rake length would be 5 feet (0.5 x 10).

The area of the roof can be calculated by multiplying the rake length by the width of the roof.

For example, if the width of the roof is 20 feet and the rake length is 5 feet, then the area of the roof would be 100 square feet.

Statment is true.

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