for a generic a→b, what quantity, when graphed versus time, will yield a straight line?

Answer: b) increasing

Step-by-step explanation: It seems evident that the sequence is made up of all the odd numbers.

[tex]\begin{gathered} \bold{a_1=1}\\ \bold{a_2=3=a_1+2}\\ \bold{a_3=5=a_2+2}\\ \bold{a_4=7=a_3+2} \\ \bold{a_n=a_{n- 1}+2}\end{gathered}[/tex]

As we can see, in the nth position (any position), we take the value of the previous position and add 2 to it. This leads us to conclude that the sequence is monotonic increasing since as we add 2 to the values, these grow up.

Answer:

240$

Step-by-step explanation:

we multiply 40 with 6

(40×6)

It will show the individual values for each row in the view, rather than a sum of the values By time

When the aggregate measures option is unchecked, Tableau will display the individual values for each row in the view instead of totaling them up. This means that instead of showing the sum of the minutes of delay, the view will show the individual delay minutes for each row.

For example, if the view contains three rows with a delay of 10 minutes, 15 minutes and 20 minutes of time, the view will display 10, 15 and 20 instead of 45.

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Answer:

x and y are inversely proportional , constant of proportion k = 30

Step-by-step explanation:

If x and y are inversely proportional then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion

multiply both sides by y , then

k = xy

to check that k is constant use the ordered pairs from the table

(0.1, 300 )

k = 0.1 × 300 = 30

(0.5, 60 )

k = 0.5 × 60 = 30

(75, 0.4 )

k = 75 × 0.4 = 30

(100, 0.3 )

k = 100 × 0.3 = 30

thus x and y are inversely proportional with constant of proportion k = 30

Answer:

450%<cube root of 92

Step-by-step explanation:

When two friends are playing a video game where the player goes on quests to earn coins with an average number of 2000 coins earned in a quest, if one plays an average of 20 quests a day and other play 5 quests a day, none of them are likely to record an average earning below 1500 coins in a day.

Therefore the answer is both Heather and Suzanne are less likely to record an average earning below 1500 coins.

Here the average number of coins earned in a quest is not dependent on the number of quests played in a day. So for both Heather and Suzanne the average earning is to be 2000, so they are less likely to earn below 1500 coins.

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The option that correctly describes the given box plot is; e. approximately half of the males in the sample of customers spent at least as much time in the store as any females in the sample of customers.

A box plot is defined as a method for graphically showing the locality, spread and skewness groups of numerical data through their quartile.

Some of the terms in box plot is as follows;

Minimum Score; This is the lowest score, that excludes the outliers (located at the end of the left whisker).

Lower Quartile; This is twenty-five percent of scores that fall below the lower quartile value (the first quartile).

Median; This is the mid-point of the data and is shown by the line that divides the box into two parts.

Now, looking at the box plot in the given attachment, we see that the middle line on a boxplot graph is the same as the median of the data, which for the males was equivalent to the highest value for females. This tells us that approximately half of the males spent more time in the store than any females.

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Answer:

DF = 24

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion.

[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )

[tex]\frac{DF}{4}[/tex] = [tex]\frac{36}{6}[/tex] = 6 ( multiply both sides by 4 )

DF = 4 × 6 = 24

Answer:

Parralel lines are congruent

Step-by-step explanation:

Tbh i would say that RU is congruent to TS because they are both parralel lines to eachother, and parralel lines are always congruent to eachother.

I hope this helps

:))

Answer: look at explanation <3

Step-by-step explanation:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

The probability that at least one will have defect is 0.1855 if a manufacturing machine has a 5 % defect rate.

If manufacturing machine has 5% defect rate. The probability is ration of the number of favorable outcomes.  Probability is the branch of math in which we calculate he number of observation and favorable outcomes of a certain event to be occur. if the manufacturing company has 5% defect rate then there is also to find the number probability of non defect rate.   so,  

Probability of defect (p) = 0.05 

Probability of non defect (q) = 1- 0.05 = 0.95 

4 items are chosen at random .

We have to calculate the probability that at least one will have a defect.

Now ,

P ( at least one will have defect ) = 1 - P ( None will have defect )

P ( none will have defect) = 1 × 1 × 0.81450625

P (none will have defect) = 0.81450625

putting the value we get,

P ( at least one will have defect) = 1 - 0.81450625

P ( at least one will have defect) = 0.18549375

P ( at least one will have defect) = 0.1855

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Answer:

3x+10y

Step-by-step explanation:

3x+2y(5) =

3x+2(5)y =

3x+2*5y = 3x+10y

The three f-tests in a two-way ANOVA do you collapse across the levels of the other factor(s) in computing the means both the A main effect and the B main effect.

What is meant by f-test?

In math, f-test refers to carry out the test for the equality of the two population variances.

Here we need to find in which of the three f-tests in a two-way ANOVA do you collapse across the levels of the other factor(s) in computing the means.

As per the definition of f-test, here we know that a two-way ANOVA do you collapse across the levels of the other factor has only two options that is main effect and interaction effect.

As we know that ANOVA separates the within group variance from the between group variance and the F-test is the ratio of the mean squared error between these two groups.

Therefore, in this one, both A and be has the main effect on each other.

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Take a six-sided dice for example.

If we let a, then a = 3.

Write about p (ac).

A six-sided die will obviously be rolled.

Obtaining a number fewer than three is required for letter A.The initials "AC" stand for "Anything which is not in A" on a die or "A-Complement".

A = 3 can be used to calculate a number less than 3 or a number greater than 3.

Taking into account that the possibilities 1, 2, 4, 5, and 6 are all in AC.

If we take the ratio of successful outcomes to overall outcomes, we have a chance.

P(AC) = 4/6 = 2/3

P(AC) is thus equal to 2/3.

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Answer:

x is less than 0

Step-by-step explanation:

Because the inside of the square root needs to be positive to make sense, the cube of -5x must be positive. The only way for a cube to be positive is if the base is positive, so x must be a negative number

Answer:

Step-by-step explanation:

Subtract 2.5d from both sides.

7.5d = 2.5d

5d = 0

d = 0

The percentage decrease when original is 180 and the new is 150 is 16.7%

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

In this case, the original is 180 and the new is 150. The percentage decrease will be:

= (180 - 150) / 180 × 100

= 30/180 × 100

= 1/6 × 100

= 16.7%

The percentage is 16.7%

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Answer:

x = - 2 , x = 6

Step-by-step explanation:

x² - 4x = 12 ( subtract 12 from both sides )

x² - 4x - 12 = 0 ← in standard form

to factor, consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)

the factors are - 6 and + 2 , since

- 6 × 2 = - 12 and - 6 + 2 = - 4 , then

(x + 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 6 = 0 ⇒ x = 6

The slope of the line y = 10x + 3 is 10

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the change of the output values to the input values

Hence in the equation of the form y = 10x + c when compared with the equation of line in slope intercept form y = 10x + c

We can see that m which is the slope is 10

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Answer:

First one

Step-by-step explanation:

first one because of the 2 letters which occur the same number an causing a little change

Answer:

Step-by-step explanation:

a) 10/18 · 9/17

5/9 · 9/17

5/17

b) 8/18 · 7/17

4/9 · 7/17

28/153

c) 10/18 · 8/17

5/9 · 8/17

40/153

Answer:

[tex]\textsf{a)} \quad \dfrac{5}{17}=29.4\%[/tex]

[tex]\textsf{b)} \quad \dfrac{28}{153}=18.3\%[/tex]

[tex]\textsf{c)} \quad \dfrac{40}{153}=26.1\%[/tex]

Step-by-step explanation:

Bag of 18 fruit drop sweets:

[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]

The probability of the first sweet chosen being apple flavoured is:

[tex]\implies \sf P(apple)=\dfrac{10}{18}[/tex]

Now there are 9 apple flavoured sweets and a total of 17 sweets remaining, so the probability of choosing a second apple flavoured sweet is:

[tex]\implies \sf P(apple)=\dfrac{9}{17}[/tex]

Therefore, the probability of both sweets being apple flavoured is:

[tex]\implies \sf P(apple)\;and\;P(apple)= \dfrac{10}{18} \times \dfrac{9}{17}=\dfrac{5}{17}[/tex]

The probability of the first sweet chosen being blackberry flavoured is:

[tex]\implies \sf P(blackberry )=\dfrac{8}{18}[/tex]

Now there are 7 blackberry flavoured sweets and a total of 17 sweets remaining, so the probability of choosing a second blackberry flavoured sweet is:

[tex]\implies \sf P(blackberry )=\dfrac{7}{17}[/tex]

Therefore, the probability of both sweets being blackberry flavoured is:

[tex]\implies \sf P(blackberry )\;and\;P(blackberry )= \dfrac{8}{18} \times \dfrac{7}{17}=\dfrac{28}{153}[/tex]

The probability of the first sweet chosen being apple flavoured is:

[tex]\implies \sf P(apple)=\dfrac{10}{18}[/tex]

Now there are 9 apple flavoured sweets, 8 blackberry sweets, and a total of 17 sweets remaining, so the probability of choosing a blackberry flavoured sweet is:

[tex]\implies \sf P(blackberry)=\dfrac{8}{17}[/tex]

Therefore, the probability of the first sweet being apple flavoured and the second sweet being blackberry flavoured is:

[tex]\implies \sf P(apple)\;and\;P(blackberry)= \dfrac{10}{18} \times \dfrac{8}{17}=\dfrac{40}{153}[/tex]

Answer: The mean score for this class is 17.13.

Step-by-step explanation:

Add up all of the scores for the boys: 78 + 58 + 79 + 45 + 39 = 249

Add the mean score for the girls: 249 + 8 = 257

Add up the number of students in the class: 10 + 5 = 15

Divide the total score by the number of students to find the mean: 257 / 15 = 17.13

What do you understand by mean and how many methods are there to find it ?

Mean is a statistical term that refers to the average value of a set of data. There are two main methods for finding the mean:

Arithmetic mean: This is the most common method of calculating the mean. It is simply the sum of all the values in the set of data, divided by the number of values in the set.

Geometric mean: This method is used when the data set includes both positive and negative values. It is the nth root of the product of all the values in the set, where n is the number of values in the set.

There are also other methods for finding the mean, such as the harmonic mean, the weighted mean, and the trimmed mean, but these are less commonly used.

To find the mean score for the entire class, we need to add up all of the scores and divide by the total number of students. First, let's start by adding up all of the scores for the boys. We have: 78+58+79+45+39 = 249

Next, let's add the mean score for the girls, which is 8.

So the total is now: 249 + 8 = 257.

Now we need to divide this total by the number of students in the class to find the mean score. There are 10 boys and 5 girls in the class, for a total of 10 + 5 = 15 students.

Therefore, the mean score for this class is :

257/15 = 17.13.

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The mean score for this class is 17.13.

Add up all of the scores for the boys: 78 + 58 + 79 + 45 + 39 = 249

Add the mean score for the girls: 249 + 8 = 257

Add up the number of students in the class: 10 + 5 = 15

Divide the total score by the number of students to find the mean: 257 / 15 = 17.13

What do you understand by mean and how many methods are there to find it?

Mean is a statistical term that refers to the average value of a set of data. There are two main methods for finding the mean:

Arithmetic mean: This is the most common method of calculating the mean. It is simply the sum of all the values in the set of data, divided by the number of values in the set.

Geometric mean: This method is used when the data set includes both positive and negative values. It is the nth root of the product of all the values in the set, where n is the number of values in the set.

There are also other methods for finding the mean, such as the harmonic mean, the weighted mean, and the trimmed mean, but these are less commonly used.

To find the mean score for the entire class, we need to add up all of the scores and divide by the total number of students. First, let's start by adding up all of the scores for the boys.

We have: 78+58+79+45+39 = 249

Next, let's add the mean score for the girls, which is 8.

So the total is now: 249 + 8 = 257.

Now we need to divide this total by the number of students in the class to find the mean score. There are 10 boys and 5 girls in the class, for a total of 10 + 5 = 15 students.

Therefore, the mean score for this class is :

257/15 = 17.13.

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The inequality describes the problem of a local ice cream shop has a parking lot with enough space for 18 cars is x + 7 ≤ 18

In mathematics, an inequality describes a relationship between two values of an algebraic expression that are not equal. “If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then, this relationship is called an inequality." For example, x>8 (x should be greater than 8).

We have, a local ice-cream shop has a parking lot with enough space.

The maximum number of cars will be parked in parking lot = 18.

At right now, the number of cars in parking lot= 7. Let assume that x be number of more cars can park in the lot. We have to express this in form of an Inequality. Total cars in parking lot = 7 + x but this number of cars cannot exceed the 18 , so x + 7 ≤ 18

Hence, required Inequality is x + 7 ≤ 18.

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Mrs. Tran's son mowed more land than she and 9/28 of the land still need to be mowed.

let us convert all the fractions into equivalent fractions to make our calculations easy.

The land mowed by Mrs Tran = 1/4 x 7/7 = 7/28

The land mowed by her son = 3/7 x 4/4 = 12/28

Hence, we can clearly see that Mrs. Tran's son mowed more land than she.

The total land mowed by both of them = 7/28 + 12/28

                                                                       = 19/28

The total land to be mowed = 1 - 19/28

                                               = (28 - 19)/28

                                               = 9/28

Hence, the land still to be mowed is 9/28.

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The complete question is -

Mrs. Tran mowed 1/4 of the lawn. Her son mowed 3/7 of it. Who mowed more? How much of the lawn still needs to be mowed?

Answer:

Step-by-step explanation: The points that have a distance of 3 units between them are:

N=(1,4) and P=(1,1)

P=(1,1) and R=(1,-2)

P=(1,1) and Q=(3,1)

Answer:

2/3

Step-by-step explanation:

slope = rise/run

Start at point (0, -3).

Go up 2. That is a rise of 2.

Go right 3. That is a run of 3.

slope = rise/run = 2/3

The results of the two equations show that the tangent of a negative angle is always equal to its tan.

tan(-∅) =  - tan∅

tan (- ∅) = QR / OQ

=> tan (- ∅) = -y /x.

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Answer:

y = -1/2x + 2