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julsineya [31]
3 years ago
15

A book drive recorded its daily results on a graph. The first five days are represented as points (1,8), (2,13), (3,13), (4,15),

and (5,21). What conclusions can be generated from the points of the graph of the data? Include what the input and output represent.
Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
<span>The input of days results in the output of total collected books. On day 1, 8 books were collected. Both inputs for days 2 and 3 have the same output of 13, meaning that no books were collected for day 3. After 5 days, 21 books were collected. The most books were collected on day 5.</span>
mina [271]3 years ago
5 0

Answer with explanation:

The results of Book Drive for first five days which is shown on the graph as points:⇒ (1,8), (2,13), (3,13), (4,15), and (5,21).

On First Day ,8 books were Collected ,and On Second Day 13 books, On third Day 13 Books ,On fourth Day 15 Books and On fifth Day 21 Books were Collected in Book Drive.

⇒It Can be Seen from the graph as number of Days are Increasing, Number of Books Collected in Book Drive on that Particular Day is also Increasing.

→Ordered Pair =(x,y)

x=Number of Days

y=Number of Books Collected on that Particular Day

   

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One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
o-na [289]

Hey there!

To find our answer, we need to set up a <u><em>system of equations. </em></u>Remember, <u><em>supplementary angles</em></u> equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

A=2B-15 (one angle is 15 degrees less than twice the other)

A+B=180

We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with <u><em>substitution.</em></u>

Let's solve with substitution!

2B-15+B=180

3B-15=180              We combine our Bs.

3B=195              We add 15 to both sides.

B= 65                We divide both sides by three.

Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

180-65=115

Our two angles are 65° and 115°.

We can also check this with the original problem.

If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!

I hope this helps! Have a great day!

5 0
3 years ago
How could the relationship of the data be classified? scatter plot with points scattered going up to the right
Anettt [7]

Answer:

The correct answer is A. A fairly strong positive correlation

Step-by-step explanation:

Scatter Plot : A graph of plotted points that show the relationship between two sets of data.

Now, the points of the scatter plot are going up this shows the increase in the data points so we can say the correlation is positive.

Now, the direction of the scatter plots is to the right. So, we can say that the correlation is strong correlation.

Hence, the correct answer is A. A fairly strong positive correlation


6 0
3 years ago
Read 2 more answers
For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean
ki77a [65]

Answer:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu=?,\sigma=?)  

We are interested on this probability

P(X>X+3\mu)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

And we can find the following probablity:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0
3 years ago
A bowling alley charges $3 to rent shoes. Four friends each pay for one game and for renting
Aleksandr [31]

Answer:

3(4)+g=28

Step-by-step explanation:

3 is the cost of one pair of shoes and 4 is how many shoes were rented. you multiple the 3 times 4 and get 12 and to get the amount of one game you have to subtract the total amount. the equation I came up with might not be what your teacher wants but thats a start. hope it helped!

3 0
3 years ago
What is the value of x
irga5000 [103]

Answer:

X=24

Step-by-step explanation:

1. (4x + 11) + (3x + 1) = 180 (Combine like terms)

2. 7x + 12 = 180 (Subtract 12 from both sides)

3. 7x = 168 (Divide both sides by 7)

4. x = 24

3 0
4 years ago
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