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3 years ago

4. Does the scatterplot have positive correlation, negative correlation, or no correlation?

Mathematics

1 answer:

bija089 [108]3 years ago

5 0

Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

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The graph is supposed to show f(x)=3sin(x/4+1)-1/2. Which of the following are correctly represented in the graph? Select all th

Drupady [299]

Amplitude is correct
The vertical shift is correct
and the horizontal shift is correct

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3 years ago

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A triangle has a height of 8 feet and an area of 48 square feet. Find the base.

weqwewe [10]

The base of the triangle is 12 because area of a triangle is 1/2 base times height

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3 years ago

If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years. $13,455.78

STatiana [176]

What is that $13,455.78? Something? I did this and got $13,122.76. Here's how I did it:
Use this formula
$A=P(1+ \frac{r}{n} ) ^{(n)(t)}$ where A is the ending amount, P is the starting amount, n is the number of times it compounds a year, and t is the number of years. We have all we need to set it up:
$A=9,250(1+ \frac{.07}{52} ) ^{(52)(5)}$
First divide and add inside the parenthesis:
$A=9,250(1.001346) ^{(52)(5)}$
then multiply the exponents:
$A=9,250(1.001346) ^{260}$
raise the value inside the parenthesis to the power of 260:
$A=9,250(1.418676)$
and finally multiply to get A = $13,122.76

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3 years ago

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 7% is applied to the room rate, and an a

Serjik [45]

Answer: $543.7325

Step-by-step explanation:

room rate = $99.95 / night

Tax fee = 7% of room rate

Therefore, tax fee = 7% of $99.95

Tax fee = 0.07 × $99.95

Room charge =[$99.95 + 0.07($99.95)]

Room charge = 1.07($99.95) per night

Additional onetime untaxed fee = $9

Therefore for 5 nights :

Room charge = 5×[1.07($99.95)] +

Total room charge = 5×[1.07($99.95)] + one time untaxed fee

Total room charge = 5×[1.07($99.95)] + $9

= $543.7325

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3 years ago

Why is it necessary to use the absolute value of the difference when finding the distance on a number line, but not necessary wh

padilas [110]

Remember that the distance on a number line is given by the formula: $d=|x_{2}-x_{1}|$
where
$d$ is the distance between the points.
$x_{2}$ is the second point in the number line.
$x_{1}$ is the first point in the number line.
Now, suppose we are trying to find the distance between the points -1 and -5; our first point is -1, so $x_{1}=-1$ , and our second point is $-5$ , so $x_{2}=-5$ . Suppose we are going to find the distance between the two point without using absolute value:
$d=x_{2}-x_{1}$
$d=-5-(-1)$
$d=-5+1$
$d=-4$
Look what we have here, a negative distance! Since distances cannot be negative, we must use absolute value to always get postie distances between two point on a umber line:
$d=|x_{2}-x_{1}|$
$d=|-5-(-1)|$
$d=|-5+1|$
$d=|-4|$
$d=4$

Now, the distance between two coordinates on a plane is given by the formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$
$where$
$d$ is the distance between the two coordinates
$(x_{1},y_{2})$ are the coordinates of the first point
$(x_{2},y_{2})$ are the coordinates of the second point
Notice that $(x_{2}-x_{1})^2$ and $(y_{2}-y_{1})^2$ are squared, so it doesn't matter if we get a negative distance because a negative number raised to an even power (like 2) is always positive; therefore we don't need absolute value in this case because we won't ever get a negative distance.

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3 years ago