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UkoKoshka [18]
3 years ago
10

hey johanna, octavius or Lj if u see this please comment or answer, this is my new account bc my other one got reported to many

times for no reason and they deleted my account

Mathematics
2 answers:
il63 [147K]3 years ago
7 0

Answer:

y=-½x-3

...............

bogdanovich [222]3 years ago
3 0

Answer:

\displaystyle y = -   \frac{1}{2} x  - 3

Step-by-step explanation:

we are given a line

we want to figure out the equation of theline remember the slope-intercept form of linear equation:

\displaystyle y = mx + b

where:

  • m is the slope of the equation
  • b is y-intercept

from the graph we can clearly see that the line passes y-intercept at <u>(</u><u>0</u><u>,</u><u>-</u><u>3</u><u>)</u> point therefore b is <em>-</em><em>3</em>

to figure out m we can consider the following formula:

\displaystyle m =   \frac{ y_{2} -  y_{1}}{ x_{2} -  x_{1}}

from the graph we obtain:(0,-3),(2,-4)

\displaystyle m =   \frac{  - 4 - ( - 3)}{ 2 - 0}

simplify substraction:

\displaystyle m =    - \frac{   1}{ 2 }

now altogether substitute:

\displaystyle y = -   \frac{1}{2} x  - 3

and we are done!

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A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
3 years ago
An alternating current. I Amperes, is given by i = 10sin2nft.where f is the frequenct in Hertz and t the time in seconds.What is
defon

Answer:

150

Step-by-step explanation:

8 0
3 years ago
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of co
r-ruslan [8.4K]
First let's find how many total ounces it would be by multiplying 16 ounces by the number of mugs (26).

16 × 26 = 416

So she needs 416 ounces of coffee. Now we have to convert ounces to quarts. We need to know that there are 32 ounces per quart. So to find quarts we divide 416 ounces by 32...

416 ÷ 32 = 13 quarts

*FYI- since the mugs hold 16 ounces we can see that 16 is half of 32 so we could have just taken 1/2 of 26 mugs which is 13.
4 0
3 years ago
Find the perimeter of triangles are 3.6, 5.7,4.5c
garri49 [273]

Answer:

13.8 cm

Step-by-step explanation:

the sides of the triangle measure 3.6, 5.7,4.5cm?

So, we have

perimeter is 3.6 + 5.7 + 4.5

13.8 cm

3 0
3 years ago
Jonah finished 24 math problems in
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Answer:

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Step-by-step explanation:

In an hour there are 60 minutes to find the unit rate of problems per minute you divide 60/24 and get 2.5 multiply 2.5 by 72 get 180 in minutes that is 3 hours

3 0
3 years ago
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