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faltersainse [42]
3 years ago
11

What is the answer to38-k<5-2k

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

K> - 33

Step-by-step explanation:

38-k<5-2k

38-5<-2k+k

-k<33

K> - 33

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Jane earns a 5.5% commission on the selling price of each home she sells. She earned $9,020 in commission on the sale of a home.
ratelena [41]

Answer:

"$164000" is the appropriate answer.

Step-by-step explanation:

Let the selling price be "s".

As per the question,

If Jane take 5.5% of selling price i.e.,

= 0.055\times s

Given commission,

= $9,020

then,

The selling price will be:

⇒ 0.055\times s=9020

                s=\frac{9020}{0.055}

                   =164000 ($)    

6 0
2 years ago
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
If there is 2 bands and one as 56 members and the other has 96 members and needs to be lined up in equal rows how much members w
dlinn [17]

if there are 2 rows then each row will have 78 members

7 0
3 years ago
Which of these is a correct step I construing an angle bisector?
olasank [31]

Answer:

1) Place the compass point at the vertex of the angle and open it to any width. Draw an arc that intersects of the sides of the angle.

2) Place the compass point at the one of the intersection points. Place the pencil at the other intersection point. This sets the compass with.

3) Draw an arc inside the angle.

4) Move the compass point to the intersection point on the other side of the angle being sure to keep the compass width the same. Draw a second arc inside the angle.

5) Make a point where the 2 arcs intersect the angle. Use a straight edge to draw a ray from the vertex of the angle through the point.

8 0
3 years ago
The sum of two numbers is 72 and their difference is 26. find two numbers?
Archy [21]

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

7 0
2 years ago
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