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trapecia [35]
3 years ago
12

Assume that y varies directly with x. If y = 18 when x = -3, find x when y = 6.

Mathematics
2 answers:
Reil [10]3 years ago
6 0

Answer:

x=-+1

Step-by-step explanation:

ArbitrLikvidat [17]3 years ago
3 0

Answer:

x=-1

Step-by-step explanation:

y=kx

18=-3*k

k=-6

6=x*-6

x=-1

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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
At the amusement park, Laura paid $6.00 for a small cotton candy. Her older brother works at the park, and he told
BabaBlast [244]

Answer:

yes

The price of marked up candy is $6.00

perentage of mark up is 300%

let the marked up amount be represented as x

let 300% mark up be represented as 3x

the equatiopn for finding the price before markup

can be represented as 3x-x=$6.

                                    2x=$6

                                    x=$3.

8 0
4 years ago
Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th
vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

\frac{9}{1}=\frac{x}{3}

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

6 0
3 years ago
A farmer has 7 3/4 rows of radishes in one field, 4 3/4 rows of radishes in another field, and 6 1/4 rows of radishes in a third
Gala2k [10]

Answer:

  A. 18 3/4

Step-by-step explanation:

It is convenient to rearrange the sum to make it easier to compute:

  7 3/4 + 4 3/4 + 6 1/4 = (7 3/4) +(4 +6) +(3/4 +1/4)

  = 7 3/4 + 10 + 1

  = 18 3/4

The farmer has 18 3/4 rows of radishes altogether.

4 0
3 years ago
Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
kipiarov [429]
40x10 is the correct one
5 0
2 years ago
Read 2 more answers
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