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3 years ago

Daniel, Isabella, and Mia began their

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

50% of 60 is 30.

100% of 60 is 60, plus 50% is 60+30, which gets you 90.

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Jessa started with 100 sugar cookies for the Christmas banquet and gave away x cookies. Cooper started with 120 cookies but gave

masya89 [10]

Answer:

20 cookies

Step-by-step explanation:

To find the answer start by plugging in numbers. first, subtract the number from 100 or Jessa's number of cookies then multiply that by 2 and subtract that from 120 or Cooper's cookies. If the two resulting numbers are equal then you have the right answer.

5 0

2 years ago

3^2 + (6 • 4^2)10 - 22

baherus [9]

9+(<span>6•16)10-22
9+(96)10-22
9+960-22
969-22
947
</span>

3 0

3 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

3 years ago

which three numbers make a right triangle the square root of 4 the square root of 5 the square root of 9 + square root of 6 the

statuscvo [17]

Please, group your sets of numbers, using { } notation or at least semicolons ( ; ). Thanks.

Looking at what I think is your first set: { sqrt(4), sqrt(5), sqrt(16) }

Square each of these and then subst. the results into the Pythagorean Theorem:

{ 4, 5, 16 } Do 4 and 5 when added together result in 16? NO.
Therefore, { sqrt(4), sqrt(5), sqrt(16) } does not produce a right triangle.

Your turn. Pick out the next 3 numbers and test them using the Pyth. Thm.

8 0

3 years ago

Determine the slope of the line passing through the given points (1,2) and (2,-1)

alex41 [277]

I hope this helps you

slope=y2-y1/x2-x1

slope=2-(-1)/1-2

slope=3/-1

slope= -3

3 0

3 years ago

Read 2 more answers