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Fed [463]
1 year ago
6

Mia's work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below. Mia's Work Step 1 StartFrac

tion 3 minus 35 Over 10 minus 91 EndFraction Step 2 StartFraction negative 32 Over negative 81 EndFraction Step 3 StartFraction 32 Over 81 EndFraction What was the first error that Mia made?
Mathematics
1 answer:
gogolik [260]1 year ago
7 0

Answer:

Mia switched the numerator and the denominator.

Step-by-step explanation:

i got it right on edge 2020

and uh also because its y2 - y1 over x2 - x1, not x2 - x1 over y2-y1.

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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
Find the indicated values: <br> Given: OA=AC=2<br> AB is a tangent line<br> Find: AB
nlexa [21]

Step-by-step explanation:

OA=AC=OC=2 (equal triangle)

which means angle O =60 degree

tan 60 = AB / 2

AB = 2 tan 60 =

2 \sqrt{3}

3 0
1 year ago
An item regularly priced at $80 is on sale for 20% off. There is a 3% sales tax.
Katena32 [7]

Answer:$14.08 and the discount is $16

Step-by-step explanation:first you find 20% of 80 which is 16 and you subtract it from 80 which gives you 64 then you have to find 3% of 64 which is 1.92 and you add it to 64 which is 65.92 then to find how much you are saving you subtract 65.92 from 80 which is 14.08

6 0
2 years ago
Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a
ziro4ka [17]
They are both correct in their computation

(28.5-28.5(.3))+.1(28.5-28.5(.3))=$21.945

28.5(.7)(1.1)=$21.945

And since they each have $22 to spend, they have enough to purchase the book.
5 0
1 year ago
Read 2 more answers
Sociologists want to test whether the number of homeless people in a particular urban area is increasing. In 2010, the average n
Kobotan [32]

Answer:

The test statistic value is 15.3.

Step-by-step explanation:

The hypothesis for this test is:

<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.

<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.

Given:

\bar x=45.3\\\sigma=6.2\\n=1000

As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{45.3-42.3}{6.2/\sqrt{1000}}=15.3

Thus, the test statistic value is 15.3.

7 0
1 year ago
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