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solmaris [256]
3 years ago
6

If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what i

s your salary if you know that the mean salary is $48,000 and it has a standard deviation of $5500?
Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

Step-by-step explanation:

Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:

X \sim N(48000,5500)  

Where \mu=48000 and \sigma=5500

And we want to find a value a, such that we satisfy this condition:

P(X>a)=0.99   (a)

P(X   (b)

We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

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zavuch27 [327]

Given :

Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.

To Find :

How many hours must have passed if there are 5 inches of rain .

Solution :

Let , after x hours rain accumulated is 5 inches .

We know , general equation of line :

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Here , m = 0.5 and c = 1 .

So , equation of rain accumulated is :

y=0.5x+1

Now , putting value of x = 5 hours .

We get :

y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches

Hence , this is the required solution .

7 0
3 years ago
An instructor makes $15 more per hour than an assistant. If the combined hourly wage of the instructor and assistant is $65, wha
mezya [45]
X= assistant's wage
x+15= instructor's wage

Add their wages set equal to $65

x + (x + 15)= 65
combine like terms

2x + 15= 65
subtract 15 from both sides

2x= 50
divide both sides by 2

x= $25 assistant's wage

x+15= 25 + 15= $40 instructor's wage


ANSWER: (C) $25 hourly wage of assistant

Hope this helps! :)
7 0
2 years ago
Find an<br> angle 0 coterminal to -301°, where 0°
Zielflug [23.3K]

Answer:

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Alicia desea hacer un viaje desde la ciudad de los Mochis a tijuana el boleto en autobús cuesta 2,500 pesos pero por fechas espe
mylen [45]

Answer:

Alicia pagara MX$1,700.

Step-by-step explanation:

A 32% discount (descuento) would come to 0.32(MX$2,500) = MX$800.

Subtracting MX$800 from MX$2,500 yields MX$1,700.

Alicia pagara MX$1,700.

7 0
2 years ago
Line Segment DE is parallel to side BC of right triangle ABC. CD = 3, DE = 6, and EB = 4. Compute the area of quadrilateral BCDE
dybincka [34]

The area of quadrilateral BCDE = 20.4 sq. units

Let AD = x and AE = y.

Since ΔABC and ΔAED are similar right angled triangles, we have that

AC/AD = AB/AE

AC = AD + CD

= x + 3.

Also, AB = AE + EB

= y + 4

So, AC/AD = AB/AE

(x + 3)/x = (y + 4)/y

Cross-multiplying, we have

y(x + 3) = x(y + 4)

Expanding the brackets, we have

xy + 3y = xy + 4x

3y = 4x

y = 4x/3

In ΔAED, AD² + AE² = DE².

So, x² + y² = 6²

Substituting y = 4x/3 into the equation, we have

x² + y² = 6²

x² + (4x/3)² = 6²

x² + 16x²/9 = 36

(9x² + 16x²)/9 = 36

25x²/9 = 36

Multiplying both sides by 9/25, we have

x² = 36 × 9/25

Taking square root of both sides, we have

x = √(36 × 9/25)

x = 6 × 3/5

x = 18/5

x = 3.6

Since y = 4x/3,

Substituting x into the equation, we have

y = 4 × 3.6/3

y = 4.8

To find the area of quadrilateral BCDE, we subtract the area of ΔAED from area of ΔABC.

So, area of quadrilateral BCDE = area of ΔABC - area of ΔAED

area of ΔABC = 1/2 AC × AB

= 1/2 (x + 3)(y + 4)

= 1/2(3.6 + 3)(4.8 + 4)

= 1/2 × (6.6)(8.8)

= 1/2 × 58.08

= 29.04  square units

area of ΔAED = 1/2 AD × AE

= 1/2xy

= 1/2 × 3.6 × 4.8

= 1/2 × 17.28

= 8.64 square units

area of quadrilateral BCDE = area of ΔABC - area of ΔAED

area of quadrilateral BCDE = 29.04 sq units - 8.64 sq units

area of quadrilateral BCDE = 20.4 sq. units

So, the area of quadrilateral BCDE = 20.4 sq. units

Learn more about area of a quadrilateral here:

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