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

To make 5 dinner rolls, 1 third cup of flour is used.
How much flour is needed to make one dinner roll? someone helpp

Answers

Answer:

1/3 ÷ 5 = 1/3 x 1/5 (the reciprocal of 5)  or 1/15 cup to make a single dinner roll

Step-by-step explanation:

Divide 5 by 1/3 is your answer, 1.66666666667

What is 0.18 divided by 7.56 plzz help me and the others ones to

Answers

Answer:

0.023

Step-by-step explanation:

1) Gracie has a piece of wood that is 5 feet long to use for two projects. She uses 2 feet of the wood on her first project. Which statement describes how a number line can be used to find the length of wood Gracie has remaining for her second project? * Start at 5 and then move left 2 Start at 5 and then move right 2 Start at 2 and then move left 5 Start at 2 and then move right 5

Answers

Answer:

Start at 5 and then move left 2

Step-by-step explanation:

Given:

Length of a piece of wood with Gracie = 5 feets

Length of a piece of wood used on the first project = 2 feets

To find: statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project

Solution:

The statement that describes how a number line can be used to find the length of wood Gracie has remaining for her second project is

Start at 5 and then move left 2

In this way [tex]5-2=3[/tex]

That is Gracie has now 3 feets of wood available that can be used for her second project.

Using the concept of a number line, the number of wood grace has left would be Start at 5 and then move left 2

Using the concept of a number line :

Positive values are to the right of 0 ; hence, the initial amount of wood grace has is +5

Using two feets from the initial length, then we would Subtract 2 from the the initial value ;

To perform subtraction on a number line, we count to the left ;

Therefore, the correct statement is Start at 5 and then move left 2

Learn more : https://brainly.com/question/18109354

A racing car can complete an 700 m long lap in 14 s. What is the speed of the
car?

Answers

Answer:

[tex]\boxed {\tt 50 \ m/s}[/tex]

Step-by-step explanation:

To find the speed, divide the distance by the time. We can use the following formula:

[tex]s=\frac{d}{t}[/tex]

The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.

[tex]d= 700 \ m \\t= 14 \ s[/tex]

Substitute the values into the speed formula.

[tex]s=\frac{700 \ m }{14 \ s}[/tex]

Divide.

[tex]s= 50 \ m/s[/tex]

The speed of the racing car is 50 meters per second

Answer:

The answer is 50 m/s

Step-by-step explanation:

The speed of an object can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

where

v is the speed

d is the distance

t is the time

From the question

d = 700 m

t = 14 s

We have

[tex]v = \frac{700}{14} \\ [/tex]

We have the final answer as

50 m/s

Hope this helps you

evaluate = (√5+2√6) + (√8-√2√15)​

Answers

Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)

Answer:

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Step-by-step explanation:

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Evaluate x/y when x=9/4 and y=3/5

Answers

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?

Answers

Answer:

32 cups

Step-by-step explanation:

hope this helps plz mark brainliest

Subtract.
7/z +3
2/z+3
Simplify your answer as much as possible.

Answers

Answer:

5/z

Step-by-step explanation:

(7/z + 3) - (2/z + 3)

distribute the minus sign

(7/z + 3) - 2/z - 3

simplify

7/z + 3 - 2/z - 3

5/z

I will give BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

Find a counterexample for the given conjecture.
The difference of two odd numbers is always an odd number.

Answers

Answer:

The difference of two odd number is always even as seen below.

Step-by-step explanation:

First odd number = x

Second odd number = x + 2

Third odd number = x + 4

Therefore

(x + 4) - (x + 2) = x

Where x is any odd number

Using 1 :

(1 + 4) - (1+2)

5 - 3 = 2

2 is not an odd number

We can say the difference of two odd number is always even

I need the measurements ASAP!! Pls help me

Answers

Answer:

Step-by-step explanation:

A=53

B=53

C=74

D=122

okay so i worked from D up so you would do 180-58 to get 122

then for C you would do 4858 to get 106 then do 180-106 to get 74

then for A and B you would do 106 divided by 2 bc they ae the same size

1500 divided by 3500 would be?

Answers

This is what came up, I hope this helps
( also if you can put brainliest that would help a lot it’s ok if not tho )

Answer:

0.42857142857

Step-by-step explanation:

correct me if im wrong

Which pairs of angles are always congruent? (select all that apply)
Corresponding Angles

Same Side Exterior Angles

Alternate Exterior Angles

Linear Pair Angles

Vertical Angles

Same Side Interior Angles

Alternate Interior Angles

Answers

Answer:

Corresponding angles

Alternate Exterior Angles

Alternate Interior Angles

I hope this helps I may be wrong I am sorry if i am

Answer:

numbers 1 and 5

Step-by-step explanation:

i toook the test

Edwin went to the grocery store and bought several pounds of fruits. The fruit cost $2 per pound. He bought 2.5 pounds of apples , 1 3/10 pounds of bananas, and 0.85 pounds of kiwis. If he paid with a $10 bill , how much change will be left?

Answers

Answer:5.5 + 2.6 = 8.1 + 1.7 = 9.8

Step-by-step explanation: Soooo i think 20 cents

4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle.​

Answers

Answer:dam I got the same thing

Step-by-step explanation:

By the way this Brandon

label the slope and y intercept​

Answers

Y intercept is (0,3)
Slope is 3/2

Find the rate of change in the graph

Answers

Answer:

4/3

hope this helped :)

A truck can be rented from Company A for ​$60 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

So this isn't a answer:

This is to help you understand how to do it in the future.

So we are going to let HOW MANY MILES GO BY be represented as (m)

Company A

60 + (m + .20) = final cost

Company B

20 + (m + .60) = final cost

Now you have to plug in numbers till you get your total miles left.

Have a good Day!!

HELP HAVING BAD DAY


Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?

Answers

Answer:  15 miles

===========================================

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

The answer is 15 miles!

Explication:
I had the same question and this was right

7/8 divided by (-13/7)

Answers

7/8/-13/7 = -0.4711 that’s the answer

Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)

Answers

Answer:

y=-8x+3

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.

Since the line is parallel to  [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,

[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]

so, the equation becomes,

[tex]y=-8x+3[/tex]

5 divided by 5/6.please help

Answers

Answer:

5 divided by 5/6=6

Kelvin purchased two Madden 21 games for $125.00. How much did each game
cost?

Answers

Answer: 125.00$

Step-by-step explanation:

the answers in the question

Answer: $62.50

Step-by-step explanation:

125/2=62.50

PLZ HELP its a test re rake i really need to get it right or im gonna fail

Answers

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation


Pls help please!!!

Answers

i am gonna have to go with B

find the cube of 2.9​

Answers

Step-by-step explanation:

[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]

Answer:

The cube of [tex]2.9[/tex] is [tex]24.389[/tex].

A family bought a total of 16 adult and child tickets to a magic show. Adult tickets are $10.50 each and child tickets are $7.50 each. The family paid a total of $141. How many of adult tickets, a, and child tickets, c, did they buy?

Answers

9514 1404 393

Answer:

7 adult tickets9 child tickets

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.

Find the missing measure for Angle E.


m ∠ E =

Answers

Step-by-step explanation:

40°+63°+e=180°

103°+e=180°

e=180°-103°

e=73°

Given point Q (2,5), which of the following points is NOT 5 units away from point Q?

A(-2,2)
B(5, 1)
C (3,2)
D(-1, 1)

Answers

Answer;

C ; (3,2)

Explanations;

Mathematically, the equation of the distance between two points can be given as;

D^2 = (y2-y1)^2 + (x2-x1)^2

The distance we are dealing with is 25

Mathematically, the square of 3 and the square of 4 added together gives 25

So the coordinates that will be our answer will be such coordinates that will not give 3 and 4 for either of x or y axes

Looking at it;

Let’s work with the first option;

D^2 = (5-2)^2 + (2-(-2))^2

D^2 =3^2 + 4^2

We can see that this works

Second option;

D^2 = (5-1)^2 + (2-5)^2

D^2 = 4^2 + (-3)^2

Since (-3)^2 is same as 3^2, this option works too

Third option

D^2 = (5-2)^2 + (2-3)^2

D^2 = (3)^2 + (-1)^2

We can see that the sum here won’t give 25 , so this is our answer

Lula Krobo is paid a commission of 7% commission on all sales over $15,000 in a month and a monthly salary of $2,300. Her last month’s sales were $29,700. What were Lula’s total earnings for the month?

Answers

Answer:   $33,029.00

Step-by-step explanation: 29700 + 1029 + 2300

sales = $29,700

commission = $1,029

salary = $2,300

Plz mark brainliest:)

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