How do you make a line plot?

Y is directly proportional to x when y=30, x=6

rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

4 0

3 years ago

Can someone help me with this triangle?? Find missing side lengths

lakkis [162]

Answer:

M= 15 degrees N= 15 degrees

Step-by-step explanation:

Right triangles are always 90 degrees so 90-60=30

since theres 2 sides you have to split 30 in 2 so 30 divided by 2 equals 15

7 0

2 years ago

Train A and train B leave the station at 2 pm. The graph below shows the distance covered by the two trains. Compare the two spe

jarptica [38.1K]

Both trains travel for 7 time units.

Train A travels 385 distance units, so its speed is

$\dfrac{385}{7}=55$

Train B travels 577.5 distance units, so its speed is

$\dfrac{577.5}{7}=82.5$

Note that the units are not specified, but considering that we're talking about trains, the graph is likely to be showing distance in km (or miles) and time in hours.

Also, the distance traveled by train B is not perfectly aligned with the grid, so I assumed that it was the average between the two ticks of 550 and 605.

7 0

2 years ago

The boston celtics have won 16 nba championships over approximately 50 years. Thus it may seem reasonable to assume that in a gi

Nutka1998 [239]

We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32

For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.

Therefore, the required probability is:

$0.32^{8}=0.0001099511627776$

Therefore, the required probability is almost 0.00011.

8 0

3 years ago

A Game of Thrones fan predicts there is a 70% chance that her favorite character will survive the next season and a 75% chance t

zepelin [54]

Answer:

The probability that the second favorite character will die given that the first favorite character dies is 0.53

This kind of probability is called conditional probability

Explanation:

Name the events and their probabiities:

Event A: her favorite character will survive, so P (A) = 0.70

Event B: her her second favorite character will die, so P(B) = 0.75

Both characters will die ⇒ P (B and not A) = 0.16

You want to find P (B | not A).

That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.

P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3

So, you have P(B), P(not A) and want to find P (B | not A)

The definition of conditional probability is:

P (X | Y) = P (X and Y) / P (Y)

So, replacing with our terms, we get:

P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53

5 0

3 years ago