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Tems11 [23]
4 years ago
11

(1,2)   with a slope of−4/5

Mathematics
1 answer:
Serga [27]4 years ago
8 0
Here, (x₁, y₁) = (1, 2)
m = -4/5

As we already have slope, we need to calculate constant number (c) as follows:
y = mx + c
2 = -4/5 * 1 + c
2 = -4/5 + c
c = 14/5

We know, equation is y = mx + c
y = -4/5x + 14/5        [ The equation in slope-intercept form ]

Now, if you want the equation in point-slope then, it would be:
y - y₁ = m(x - x₁)
y - 2 = -4/5 (x - 1)     [ The equation in point slope form ]

Hope this helps!

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The olympics are held every four years. In 2016, the XXXI olympiad were held in Rio de Janeiro,Brazil. Determine the year of the
Anna007 [38]

Answer:

First Olympic held in year 1896.

Step-by-step explanation:

Number of Olympiad held in Rio = XXXI = 31st

Difference of years in two consecutive Olympiads = 4 years

Number of years spent in 31 Olympiads can be calculated by,

Number of years spent = (n - 1)d

Here n = number of Olympiads held

d = difference between two consecutive Olympiads

Number of years spent till 31st Olympiads = (31 - 1)×4

                                                                      = 120 years

Therefore, 1st Olympiad held in the year = 2016 - 120

                                                                   = 1896

6 0
3 years ago
(a) Complete this synthetic division table.<br> -2) 3<br> -1<br> -11<br> 8 7
arlik [135]

Answer:

i didnt understand can you plz explain

3 0
3 years ago
Round 218 to the nearest hundred
Sergio [31]
When rounding to the nearest hundred, if the number in the tens place is less than 5, you should round downwards (keep the same number shown in the hundreds place). However, if the number in the tens place is 5 or greater, than you have to round up, which means adding one to the number currently in the hundreds place. So, for this problem, the digit 1 is in the tens place. Because 1 is less than 5, we know that we have to round down. Thus, 218 rounded to the nearest hundred is 200. Hope this helps!!
7 0
3 years ago
A study conducted at a certain college shows that 6868​% of the​ school's graduates find a job in their chosen field within a ye
PolarNik [594]

Answer: Hello mate!

each school graduate has a 68% to find a job in their chosen field within a year after graduation.

And we want to know the probability for a randomly chosen group of 11 graduates to all get a job in their area within a year of graduating.

(you used the numbers 6868% and 1111, I am assuming that you write this wrong and repeated the numbers)

Ok! so each of the 11 students has the same probability of 0.68 to find the job. Then the joint probability for the 11 events ( where the events is that each one finds a job) is the product of the probability for each one.

P = (0.68)^11 = 0.01437

and if we round it to the nearest thousandth we get:

p = 0.014

3 0
3 years ago
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 1
TEA [102]

Answer:

The correct answer will be "0.3043".

Step-by-step explanation:

The given values are:

\mu = 15

n=41

\sigma^2=25

then,

\sigma=5

If researchers know representative sample n > 30 and default deviation those who use z-test

∴  P(x>15.4)

⇒  1-P(x

⇒  1-P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }

⇒  1-P(Z

⇒  1-0.695762

⇒  0.3043

6 0
3 years ago
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