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Sergeu [11.5K]
3 years ago
5

Can you help me find the point slope form (-15,18) (11,17)

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer:

-1/4

Step-by-step explanation:

y1 y2    x1 x2

17 - 18=-1      11 - (-15 ) 4

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V=2.5(6.4−t)
Alja [10]

Answer:

6.4 minutes ( or 6 minutes and 24 seconds)


Step-by-step explanation:

Filling up the jug means the empty space is 0, hence V = 0.

<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>

V=2.5(6.4-t)\\0=2.5(6.4-t)\\0=16-2.5t\\2.5t=16\\t=\frac{16}{2.5}\\t=6.4


Hence it will take 6.4 minutes to fill up the jugs.

<u>Note:</u> 0.4 minutes in seconds is  0.4*60=24 seconds

6 0
3 years ago
A recent survey found that 70% of all adults over 50 wear
lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

n = 10, p = 0.7

What is the probability that at least six wear glasses?

P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497

There is an 84.97% probability that at least six wear glasses.

5 0
3 years ago
The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years

Therefore, the population of the city in 13 years time will be:

P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951

The population be at that time will be approximately 1,474,951.

3 0
3 years ago
Kristin won 44 lollipops playing basketball at her school's game night. Later, she gave two to each of her friends. She only has
Colt1911 [192]
21 friends.



44 - 2x = 2, where x is the number of friends Kristin has.

Subtract 2 on each side.

42 - 2x = 0

Add 2x on each side.

42 = 2x

Divide by 2 on each side.

42 / 2 = x

21 = x

Kristin has 21 friends.



Please consider marking this answer as Brainliest to help me advance.
6 0
2 years ago
Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6&#10;

Therefore the common ratio is 6.
4 0
3 years ago
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