Each phrase in the table describes two variables which are strongly correlated. select all phrases that imply correlation without causation.

the number of stuffed animals produced at a factory and the number of newborn babies
the number of hits by a baseball team in a game and the number of runs they score
the number of people at a store and the number of coupons given out
the amount of snow plows on the street and the amount of snowfall
the number of videos rented and the number of new films in theaters
the number of pets in a neighborhood and the amount of grass fields nearby

Answer:

8, 15, 17  and \(\sqrt{2} , \sqrt{2}, 2\)

Step-by-step explanation:

\(c=\sqrt{a^2+b^2}\)

\(33=/=\sqrt{5^2+\sqrt{8}^2 }\)

\(17=\sqrt{8^2+15^2}\)

\(2=\sqrt{\sqrt{2}^2+\sqrt{2}^2 }\)

Answer:

#1) x=38

#2) x=12

Step-by-step explanation:

For (1)

Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.

For (2)

Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12

Answer:

\(8xy^{3}\)

Step-by-step explanation:

Answer:

4x+11

Step-by-step explanation:

you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.

so you just have to add 7+4

4x+11

I hope this helps

Step-by-step explanation:

hope this may help you tq

Answer:

J71763eua8w8w8us

Nakshatra w

Nskd8w8

I2991992

Answer: \(W=13,874\ \text{Pounds}\)

Step-by-step explanation:

Given

Elevator holds \(15,893\ \text{Pounds}\) of merchandise

Now, 3473 Pounds of the box is loaded, and then 5492 Pound of the container is taken off

Net weight held by elevator is

\(\Rightarrow W=15,893+3473-5492\\\\\Rightarrow W=13,874\ \text{Pounds}\)

x = number of people went to movies

equation

6.25x + 12 = 30.75

6.25x = 30.75 - 12

6.25x = 18.75

      x = 18.75 / 6.25

      x = 3

answer

3 people

Answer:

6.25x + 12 = 30.75

3 people

Step-by-step explanation:

The x-intercept is x = -7/2

The y-intercept is when y = 7.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The equation of the graph is -2x + y = 7.

Now,

The x-intercept is when y = 0.

The y-intercept is when x = 0.

So,

-2x + y = 7

Substitute x = 0 and y = 0.

-2 x 0 + y = 7

y = 7

And,

-2x + 0 = 7

-2x = 7

x = -7/2

Thus,

x = -7/2 is the x-intercept.

y = 7 is the y-intercept.

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ok

Result = 4 7/16

Answer:

x = 108°

Step-by-step explanation:

Formula to determine the sum of interior angles of a polygon is,

Sum of interior angles = (n - 2) × 180°

Here, n = Number of sides of the polygon

From the picture attached,

Number of sides 'n' = 6

m∠A + m∠B + m∠C + m∠D + m∠E + m∠F = (6 - 2) × 180°

143° + 160° + 51° + 133° + 125° + x° = 720°

612° + x° = 720°

x = 720 - 612

x = 108°

Answer: 56.2

Step-by-step explanation:

hope this is the right answer :)

Answer:

Step-by-step explanation:

Step-by-step explanation:

Option c, d,and f is correct

Answer:

Michelle.

Step-by-step explanation:

D'Andre's Bank Account:

Remember to find the line, you need to use the formula y=mx+b. The m stands for slope while the b is the y-intercept. For D'Andre's y-intercept we can see that it's 0 and the slope is 2 (you can find it by doing rise/run). His equation is y = 2x.

To find how long it'll take him to get to $500, plug 500 into y: 500 = 2x

Divide by 2 on both sides: 250 = x

It'll take D'Andre 250 months to reach $500.

Fiona's Bank Account:

Unlike D'Andre's graph, she already has the equation, except that it isn't in the easiest form. To get it back to what it was, add 12x to the other side of the equation:

                                       y - 12x = 100**

                                         + 12x = +12x

                                      y =  12x + 100

**Just in case you didn't know, the 100 just means that's how much money she had started out with.

Plug in 500 for y: 500 = 12x +100

Subtract 100 from both sides: 400 = 12x

Divide by 12 to get x alone: 100/3 = x

It'll take Fiona about 33 months to reach $500.

Sam's Bank Account:

Sam has a table for his account, so we need to subtract some of the y coordinates to find his slope. Using 60 and 45 difference, we get 15. Looking at the table I can tell that is the slope because 15 is continually being added. To find his y - intercept, we need to look when his x coordinates was a 0. Therefore, his y-intercept is 60. His equation is y = 15x + 60

Plug in 500 for y: 500 = 15x + 60

Subtract 60 from both sides: 440 = 15x

Divide by 15 to get x by itself: 88/3 = x

It'll take Sam about 29 months to reach $500.

Michelle's Bank Account:

Last we have Michelle. Since she started with 25 dollars, that'll be her y-intercept. It also says that she is depositing 25 dollars per month, meaning 25 is her slope. Her equation should look like y = 25x + 25.

Plug in 500 for y: 500 = 25x + 25

Subtract 25 from both sides: 475 = 25x

Divide 25 from both sides to get x isolated: x = 19

It'll take Michelle 19 months to get $500.

So, in the end, Michelle will reach $500 dollars first.

Mr. Schwartz will need to order more wheels after building 12 cars.

The number of cars x Mr. Schwartz builds before he places an order for more wheels can use the following steps:

Determine how many wheels are used per car:

4 wheels/car

Determine the number of wheels available at the start of the week:

85 wheels

Determine the minimum number of wheels needed to be available before placing an order:

40 wheels

Set up an inequality to represent the situation using x to represent the number of cars built before an order is placed:

Number of wheels used = 4x

Number of wheels remaining = 85 - 4x

Order is placed when number of wheels remaining is less than 40:

85 - 4x < 40

Solve for x by isolating the variable:

85 - 4x < 40

-4x < -45

x > 11.25

Since x represents the number of cars built can't have a fractional value for x.

The nearest integer to get the minimum number of cars that need to be built before an order is placed:

x > 12

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The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

Major publications

Step-by-step explanation:

Major Publications

9 books for $39.95

$4.44 per book

Answer:

          _

1. 4.438

39.95/9=4.43888888888888888888888888888

Step-by-step explanation:

The cost of a paperback book (P) is $5 and the cost of a hardcover book (H) is $7.50.

Let's denote the cost of a paperback book as "P" and the cost of a hardcover book as "H". We can set up a system of equations based on the given information:

Equation 1: 2P + 2H = 25

Nate buys two paperbacks (2P) and two hardcovers (2H) for a total of $25.

Equation 2: 3P + H = 22.50

Tia buys three paperbacks (3P) and one hardcover (H) for a total of $22.50.

Now, we can solve this system of equations to find the values of P and H. By rearranging Equation 1, we get:

2P = 25 - 2H

P = (25 - 2H)/2

Substituting this value of P into Equation 2, we have:

3((25 - 2H)/2) + H = 22.50

Simplifying the equation, we get:

37.5 - 3H + H = 22.50

-2H = 22.50 - 37.50

-2H = -15

H = -15/(-2)

H = 7.50

Substituting this value of H back into Equation 1, we can find P:

2P + 2(7.50) = 25

2P + 15 = 25

2P = 10

P = 5

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The price of a paperback book is $5, and the price of a hardcover book is $7.50.

Let's denote the price of a paperback book as "P" and the price of a hardcover book as "H".

Nate buys two paperbacks and two hardcovers for $25:

Equation 1: 2P + 2H = 25

Tia buys three paperbacks and one hardcover for $22.50:

Equation 2: 3P + 1H = 22.50

We can solve this system of equations using any method, such as substitution or elimination. Here, we'll use the substitution method.

2P + 2H = 25

2H = 25 - 2P

H = (25 - 2P)/2

H = 12.5 - P

Now, substitute this expression for H into Equation 2:

3P + 1H = 22.50

3P + 1(12.5 - P) = 22.50

3P + 12.5 - P = 22.50

2P + 12.5 = 22.50

2P = 22.50 - 12.5

2P = 10

P = 10/2

P = 5

Now that we have the value of P, we can substitute it back into Equation 1 to find H:

2P + 2H = 25

2(5) + 2H = 25

10 + 2H = 25

2H = 25 - 10

2H = 15

H = 15/2

H = 7.5

Therefore, the price of a paperback book (P) is $5, and the price of a hardcover book (H) is $7.50.

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8.5Step-by-step explanation:

Answer:

15

Step-by-step explanation:

1 dime = 10

1 quarter=25

x=number of coins - dimes

y= number of coins - quarters

x (10)+y(25)=10.25

x+y=50

x= 50-y

x(10)+y(25)=1025

(50-y)(10)+25y =1025

500-10y+25y=1025

500+15y=1025

15y= 1025 - 500

15y=525

y=525/15

y=35

x= 50-35=15

5x + 8

easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

Answer:

d

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

55 + x = 90

x = 90 - 55

x = 35

The probability of rolling a 2 when rolling two dice is 1/36. This is because there are 36 possible outcomes when rolling two dice, and only one of those outcomes is a 2.

To calculate the probability of rolling a 2, we need to consider all of the possible outcomes. There are 6 possible outcomes for each die, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. Only one of these outcomes is a 2, so the probability of rolling a 2 is 1/36.

It is also possible to calculate the probability of rolling a 2 by using the formula for the probability of two independent events. In this case, the two independent events are rolling a 2 on the first die and rolling a 2 on the second die.

The probability of rolling a 2 on any given die is 1/6, so the probability of rolling a 2 on both dice is 1/6 x 1/6 = 1/36.

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There will always be terms in the sequence that are greater than any fixed positive number. The correct option  is a. The sequence diverges.

The given sequence is 1, 4, 16, 64, 128, which can be represented as {1, 4, 4^2, 4^3, 2(4^3)}.  In this sequence, each term is obtained by multiplying the previous term by 4. The terms in the sequence increase rapidly as we go further down the sequence. This is because the difference between the nth term and the (n-1)th term increases as n increases.

The sequence does not converge to zero. In fact, it diverges to infinity. A sequence converges to a limit L if, given any positive number ε, there exists a positive integer N such that |an − L| < ε for all n > N. However, the sequence given here does not satisfy this criterion. No matter how large N is taken, there will always be terms in the sequence that are greater than any fixed positive number, such as ε. Hence, the sequence does not converge.

Hence, the correct answer is: a. The sequence diverges.


The given sequence 1, 4, 16, 64, 128, can be represented as {1, 4, 4^2, 4^3, 2(4^3)}. It is a geometric sequence, in which each term is obtained by multiplying the previous term by a constant factor called the common ratio. In this sequence, the common ratio is 4, which means that each term is four times the previous term.

The terms in the sequence increase rapidly as we go further down the sequence. This is because the difference between the nth term and the (n-1)th term increases as n increases. For example, the difference between the 3rd and 2nd terms is 12, while the difference between the 4th and 3rd terms is 48. This suggests that the sequence may diverge to infinity.

To see whether the sequence converges or diverges, we can use the definition of convergence. A sequence {an} converges to a limit L if, given any positive number ε, there exists a positive integer N such that |an − L| < ε for all n > N. In other words, the terms of the sequence get arbitrarily close to L as n becomes large.

Therefore, the correct option  is a. The sequence diverges.

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Answer: 9

Step-by-step explanation:

Answer:

Probability = 0.500

Step-by-step explanation:

If it is given that the reader is a teen, we have a total of 80 readers, where 40 of those readers have Rowling as their favorite.

So the probability that the reader's favorite is Rowling given that the reader is a teen is the number of teen readers that have Rowling as favorite (40) over the total number of teen readers (80)

Probability = 40 / 80 = 0.500

Answer:

Step-by-step explanation:

-7

Answer:

2 + 2 = 4

Step-by-step explanation:

Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it,  If we have 2 oranges and have another 2 oranges we have four oranges.