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natima [27]
3 years ago
7

What is the equation of the line that has a slope of -4 and passes through (2, -3)

Mathematics
1 answer:
slega [8]3 years ago
6 0

Answer:

y+3 = -4(x-2)

Step-by-step explanation:

We can use point slope form since we are given a point on the line and a slope,

Point slope form is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

(y- -3) = -4(x-2)

y+3 = -4(x-2)

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What is the solution to the proportion? Round the answer to the nearest tenth if necessary. 52/x = 9.5/3.25
Mazyrski [523]

Answer:

17.8

Step-by-step explanation:

9.5x = 3.25(52)

9.5x = 169

x = 169/9.5

x = 17.8

6 0
2 years ago
Can someone pleaseeee answer these.its urgent
anzhelika [568]

Answer:

1) Rolling a 3 is unlikely and rolling a 4 is unlikely too.

2) The probability of niki drawing a green marble is likely and the probability of tom drawing a blue marble is unlikely.

Step-by-step explanation:

1) Since there is only one 3 out of 6 numbers, the probability of that outcome is 1/6, which is low. The same thing goes for throwing a 4.

2) The reason why it is equally likely for niki drawing a green is because there are more green marbles than the other marbles. You could see it as a fraction as well, which is 4/9 Which is very close to one half (4.5). For tom, there are less blue marbles which brings it down to the unlikely spot (fraction = 3/9)

Hopefully this helps, and hopefully it isn't too confusing.

3 0
3 years ago
The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out
Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So p = 0.3723

12 games in November

So n = 12

What is the probability that the hockey team wins 6 games in November?

This is P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0
3 years ago
Fill in the blank to complete the equation below.<br> 33 +?= 3(11 + 8)
svetlana [45]

Answer:

24

Step-by-step explanation:

11+8=19

19×3=57

33-54=24

3 0
3 years ago
Read 2 more answers
The product of eight hundred and a number
alex41 [277]
N - the number

8/100 × n = 0.08 × n = 0.08n
8 0
3 years ago
Read 2 more answers
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