Find the point on the line 5x+7y+1=0 which is closest to the point (−4,3).

The bus travels 35 blocks in 7 minutes . If the bus travels at a constant speed , how long will it take to travel 50 blocks ?

Mademuasel [1]

Answer:

10 min

Step-by-step explanation:

35/7=5 blocks in 1 min

50/5=10

6 0

2 years ago

A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and a

olga_2 [115]

Answer:

P(X=3cars) = 0.052

P(X>3 cars) = 0.00638

Step-by-step explanation:

In total there are 7 cars per hour.

Using formulae for geometric Probability

P(X=3) = (7^3×e-7)/3! = 0.0521

P(X>3cars) = (7^2× e-7)/2! =

P(X>3) = 0.0128/2×1 =0.00638

7 0

2 years ago

If angle 0 is in quadrant I, what is the value of

Brilliant_brown [7]

Answer:

$the \: answer \: is \: c \: = - \frac{ \sqrt{14} }{5}$

Step-by-step explanation:

$\sin^{2}0 + ( \frac{ \sqrt{11} }{5} ) ^{2} = 1( \sin^{2}0 + \cos^{2} 0 = 1)$

${ \sin }^{2}0 + \frac{11}{25} = 1 \\ { \sin }^{2}0 = \frac{14}{25}$

$\sin0_{1} = - \frac{ \sqrt{14}}{5} while \sin0_{2} = \frac{ \sqrt{14} }{5}$

Therfore theta is QI
Therfore sin theta >0
$therefore \: \sin0 = \frac{ \sqrt{14} }{5}$

4 0

1 year ago

Adam sleeps for nine hours each night, five nights a week, and 11 hours for two nights a week.

melisa1 [442]

Answer:

E

Step-by-step explanation:

3 0

3 years ago

Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s

notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used 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.

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