Find the slope of the line

Mathematics

1 answer:

Inessa05 [86]4 years ago

3 0

The two points (0,0) and (4,5) are on the line. The points are marked in blue in the attached image below.

Use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (5-0)/(4-0)

m = 5/4 <----- this is the answer in fraction form

m = 1.25 <----- this is the answer in decimal form

The idea of the slope formula is we're subtracting the y values together, then subtracting the x values together in the same order, finally we divide the two results and reduce if possible to get the fraction form. Use long division or a calculator to find the decimal form of the fraction. In this case, the rise is 5 and the run is 4. Meaning we go up 5 units and over to the left 4 units to go from (0,0) to (4,5).

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According to an airline, flights on a certain route are on time 80 % of the time. suppose 10 flights are randomly selected and

natulia [17]

(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
(b) Using the formula:
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.

6 0

3 years ago

Ben thinks that the slope ratio for this triangle is 7/10. Carlissa thinks the ratio is 10/7 Who is correct? Explain your thinki

Alekssandra [29.7K]

Answer:

Both answers are correct, depending on the angle taken as reference

Step-by-step explanation:

we know that

In a right triangle

The slope ratio of the triangle is equal to the function tangent

The function tangent in a right triangle is equal to the opposite side to the angle divided by the adjacent side to the angle

$tan(35)=\frac{7}{10}$ -----> Ben's ratio