Mathematics High School

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less

Answers

Answer 1

Answer:

The task times is  [tex]x =90.77 \ s[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu  =  110 \ sec[/tex]

   The standard deviation is  [tex]\sigma =  15 \  sec[/tex]

 

Generally the task times that qualify individuals for such training is mathematically represented as

      [tex]P(X  <  x) =  0.10[/tex]

=>    [tex]P(X  <  x) = P( \frac{X - \mu}{\sigma }  <  \frac{x - 110}{15} )  = 0.10[/tex]

Generally [tex]\frac{X - \mu}{\sigma }   = Z (The  \ standardized \  value  \  of  X )[/tex]

=>   [tex]P(X  <  x) = P( Z <  \frac{x - 110}{15} )  = 0.10[/tex]

Generally the z -score   of  0.10  from the z-table  is

      [tex]z -score =  -1.282[/tex]  

So

      [tex]\frac{x - 110}{15}   =  -1.282[/tex]

=>    [tex]x =90.77 \ s[/tex]

Related Questions

joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies

Answers

29,930 is the correct answer

the number of minutes joe and his friends spent watching movies are 4920 minutes.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.

Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -

[x] = 41 x 2 x 60

[x] = 41 x 120

[x] = 4920 minutes.

Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?

Answers

Answer:

He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas

Step-by-step explanation:

Answer:

you can get 2 pizzas

Step-by-step explanation:

It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.

10+10=20

20+the delivery fee=24

Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours

Answers

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2

Answers

Answer:

4x² - 1

Step-by-step explanation:

Add:

3x² + 2x - 1

x² - 3x + 1

= 4x² - x

What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°​

Answers

Answer:

A

Step-by-step explanation:

Answer will be
D. 130

What is the range of the following graph?

Answers

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?

Answers

Answer:

15

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

             

A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?

Answers

Answer:

48 cm

Step-by-step explanation:

64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.

Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV

Answers

3x-4y=16

add 4y to both sides

3x=4y+16

divide both sides by 3

x=(4y+16)/3

You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9

Answers

Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9


Simplify the following expression,
(5^2)^-1

Answers

the answer is 1/25 because u square 5 which is 25. since u can’t have negative exponents on top u move the term to the bottom so the top would just have a place holder of 1.

2 (k + 2) = 8k - 5 - 3k

Answers

Answer:

k=3

Step-by-step explanation:

Answer:k=3

Step-by-step explanation:

Find the unit rate of miles per gallon for these vehicles

Sedan:
Minivan:
Truck:

Answers

Answer:

Sedan: 18

Minivan:19

Truck: 16

Step-by-step explanation:

Got it right on edge

If you don't trust me sorry but i got it right

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?​

Answers

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1

Answers

Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.

Table 3 is not a function because there is more than one input for each output.

Table 4 is an exponential equation with the equation y = 4x^2

Table 5 is not a function for the same reason as table 3.

Answer:

Yes! The answer is A and B. Or the 1st and 2nd ones.

Step-by-step explanation:

What is the value of x x+18+5x-6=180

Answers

Step-by-step explanation:

I Hope it helps you . Hope it will

Answer:X=28

Step-by-step explanation:

first you combine the like terms wich are x and 5x also -6 and 18

second your equation will be 6x+12=180

Third you subtract 12 from each side

4th you divide each side by 6 to simplify the x

5th your anwse would be x =28

How do you write -4.50 as a mixed number

Answers

Answer:

-9/2

Step-by-step explanation:

WILL MARK BRAINLEST!!

Solve for y put in slope intercept form

(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)

Show work please

Answers

First, begin by distributing 1/2 2X and 20. And then subtract six from each side. This is your answer. (Y=1/2x + 4)

*For slope intercept form, you literally just find the slope, and the y-intercept

Hope this helps bro!

x^2/(x+2) + 2 (x+2)/x^2 = 3 solve
please help me with steps​

Answers

this photo which I attached is steps of solution and the answer.

how do you convert fractions to decimals?​

Answers

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2

Answers

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]

I need help with this pleaseee

Answers

Correct answer For this solution is c

help me .................

Answers

Answer:

Perpendicular

Step-by-step explanation:

the slope of b is -3/4 and the slope of a is 4/3

Answer:

Perpendicular

Step-by-step explanation:

The lines are perpendicular because they meet at a right angle (90 degrees).

put these numbers in descending order
75%

2/5

0.84

2/3

Answers

I think its

2/5 2/3 75 0.85

Can you please answer this my homework is due ✨

Answers

2:1100
3:1650
6:3300
It is all multiplying with the number 550

A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds

Answers

Answer:

8034

Step-by-step explanation:

C'mon!!.... easyyyy

309x26 =8034

Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W

Answers

Answer:

D.

Step-by-step explanation:

D. 60 + 12w = 95 + 7W


Calculate the surface area of the prism.

Answers

Answer:

152 units.

Step-by-step explanation:

(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)

40+40+48+12+12

152

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