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

If 2x = 10, find the value of 1 - 2x

Answers

Answer:

2x=10

divide by 2

x=5

1-2x

1-2(5)

1-10

answer is -9

Answer:

-9

Step-by-step explanation:

First solve the equation, 2x=10 to get the value of x

2x = 10

x = 10÷ 2

x= 5

now, put this value of x in the expression 1-2x

1 - 2x

= 1- 2(5)

= 1- 10

= -9

A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost price = $5 per T - shirt

Markup = 150% or cost price

Every month which shirt doesn't sell, selling price drops by 25%

Selling price of Tshirt = (150% * $5) = $7.5

Price after 1 month = (100% - 25%) * $7.5 = $5.625

Hence, the equation could be expressed as :

Price after one month:

(1.5 * $5) - 0.75 * (1.5 * $5)

7.5 - 0.75(7.5)

Answer:

($5)(2.50) – ($5)(2.50)(0.25)

Question 3 of 10
What is the slope of the line given by the equation below?
y + 2 = -3(x-5)
A. -5
B. 3
C. -3
D. 2

Answers

The answer is -3 !

Explanation:

Please give brainliest

In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?

Answers

4/9=x/100
400=9x
X=44.444 so about 44 people would not like the movie

On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.

Answers

Answer:

43

Step-by-step explanation:

Answer:

43 is what I would say

Step-by-step explanation:

step by step

how do you add two areas together​

Answers

Answer:

You would just add them like normal

Step-by-step explanation:

someone text me on sc queenalyssa_05

Answers

Okay! You’re a girl right? Lol

x/8 -4 =7/16 x=

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

Exact form: x = [tex]\frac{-64}{5}[/tex]

Decimal form: x = -12.8

Mixed number form: x = -12[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

x = - [tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )

2x - 64 = 7x ( subtract 2x from both sides )

- 64 = 5x ( divide both sides by 5 )

- [tex]\frac{64}{5}[/tex] = x

The volume of a pyramid, V, is calculated using the formula V = 1/3AH, where A is the area of the base and
H is the height of the pyramid.

What is the base area of a pyramid with a volume of 72 m3 and A height of 12m?

Answers

Answer:

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Answer:

rearranged foruma: V3/H

base area:

A=18m^2

Step-by-step explanation:

(5x+2x^2-3)-(6+x^2-8x)

Answers

Answer:

13x + x^2 - 9

Step-by-step explanation:

You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1  13x + x^2 - 9.

A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?

Answers

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

                                     = $11.76  

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

                                                                        = $33.81

Number of meals prepared with material purchased = 28

Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

                         = 20 - 1.2075

                         = 18.7925

                         ≈ $18.8

Therefore, he will make $18.8 for each meal.

A flat screen television measures diagonally 40 inches and 24 inches in length. What
is the width of the television?
32 in.
G 35 in.
H 51 in.
64 in.

Answers

The width should be 32 inches.

a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min

Answers

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

If you answer I will give brainliest.
How many km did a bird travel if it flew at a speed of 55 km/hr for 35 hours? *

A 1.6 km
B 0.6 km
C 18.3 km
D 1,925 km

Answers

D. 1,925 km

Multiply 55 with 35 --> 1,925 km/35hrs

Answer:

D

Step-by-step explanation:

55*35=1925

y’all tryna help me :/

Answers

IM DOING THE SAME THING ALEKS KNOWLEDGE CHECK

Answer:

4.12

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

        -64   -64

a^2 = 17

square root of 17 = 4.12310

round to the nearest hundredth 4.12

What is the least common multiple (LCM) of 5 and 20?

Answers

Answer:

5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

When you make a list it will look something like this::

5-5,10,15,20

20-20

Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)


A three and one fourth + 2x ≤ 6

B three and one fourth + 2x ≥ 6

C three and one fourthx + 2 ≤ 6

D three and one fourthx + 2 ≥ 6

Answers

Answer:

option 2 is correct-three and one fourth + 2x ≥ 6.

−15 ÷ 5 =


A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.

Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.

Answers

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.

Answers

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

Look at image Please help I’m struggling

Answers

Answer:

.75 per 1 apple

Step-by-step explanation:

A unit rate has only 1 of the item in the denominator

12 apples and 4 apples are not 1 of the item

$.75/ 1 apple is a unit rate

.75 an Apple

have a good day

DOES ANYONE KNOW THE ANSWER TO THIS???

Answers

A) slope -3
B) 5/2
Hope this helps

I'm soooo freakin' bad at math bruh....someone please help :/

28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?

a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7



29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?

a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes



30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.

a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.

Answers

28. C (-5 + -7) = -12 ; (-5)(-7)=35
29. B (12 nickels, 9 dimes) 60+90
30. C (width=3 in) (length=12 in) (3)(12)=36in^2

please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!!

Answers

Answer:

Ill do it

Step-by-step explanation:

It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears

Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?

Answers

Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

Learn more about the area of rectangle visit:

https://brainly.com/question/28337358

#SPJ2

Math helppppppppppp
-0.05/ -5/8
6 1/4/ -5/16
-3/5 / 2 1/4
-9/10/ 1 3/5

Answers

Answer:

1) 0.08

2) -20

3) -4/15 or -0.26 repeating

4) -9/16 or -0.5625

Need help answering 25pts ?

Answers

Answer:jnvjdfsStep-by-step explanation:

,vjkhfdsjhfjlsdhjkfDhjkdmnf,sdnfjdf

HELP PLEASE IS FOR TODAY
20 points

•Segment A'B' is closer to point C than segment AB.

•Segment A"B'" is closer to point C than segment A'B'

•Segment A'B' is farther from point C than segment AB

•Segment A"B'" is farther from point C than segment AB.

•Segment A"B" is farther from point C than segment A'B'

Answers

Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

7/11 ÷ 21/55 pls help me​

Answers

9514 1404 393

Answer:

  5/3

Step-by-step explanation:

You can divide fractions a couple of ways:

1. Invert the denominator and multiply

  [tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]

2. Make both fractions have the same denominator and use the ratio of their numerators

  [tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]

answer this please :(

Answers

Question?? Hey where is the question at I cannot answer without a question

Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?​

Answers

Answer:

$1100 per week

Step-by-step explanation:

Amount made per week = $990

Increase amount per week  = $110

Unknown:

What will be his weekly pay per week = ?

Solution:

His weekly pay per week will be = amount made per week + Increase

                                                       = $990 + $110

                                                       = $1100

He now makes $1100 per week.

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