Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours.

Answers

Answer 1

Answer:

0.03593

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 17,340

μ is the population mean = 15,000

σ is the population standard deviation = 1300

z score:

z = 17340 - 15000/1300

z =1.8

Probability value from Z-Table:

P(x<17340) = 0.96407

P(x >17340) = 1 - P(x<17340)

= 1 - 0.96407

= 0.03593

The probability that the life span of the monitor will be more than 17,340 hours is 0.03593


Related Questions

Give the factors for the numerator [n] and denominator [d] after reducing.

Answers

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?

Answers

Answer:

I think it’s A,C, and E

Step-by-step explanation:

I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .

Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.

Pls show step-by-step! :)

Answers

Equation formula: y = mx + b
0.10 per minute is the slope
9 would be the y intercept
Equation: 0.10x + 9 < 45

Selena has a piece of ribbon that is 130 inches long. If she wants to make bracelets that are 9 inches long, how many inches of ribbon will be left over?

Answers

Answer:14 4/9

Step-by-step explanation:

130/9 = how many bracelets she can make
Turn it into a mix number
14 4/9, she can make 14 bracelets
There will be 4 inches left over

The ratio of boys to girls in a classroom was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. Part i.) How many children were in the classroom in the beginning?

Answers

Answer:

i pretty sure it's 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

help me plz i have to get an A

Answers

The answer is c. Hope I helped

An average pen manufactured by the F&M Corporation lasts 400 days with a standard deviation of 40 days.
Assuming that pen life is normally distributed, what is the probability that such a pen will last at least 440
days?

Answers

Answer:

The probability that the pen will last at least 440 days is 0.1587

Step-by-step explanation:

Given that

Mean = μ = 400 days

SD = σ = 40 days

Now we have to find the probability of a data point X = 440

For that first of all we have to find the z-score of the value

z-score is found using the formula

[tex]z-score = \frac{x-Mean}{SD}[/tex]

Putting the values of x, mean and SD we will get,

[tex]z = \frac{440-400}{40} = \frac{40}{40} = 1[/tex]

At least 440 means that either 440 or greater than this, hence, we have to find area to the right of z=1

For that

[tex]P(z<1) = 0.8413\\P(z>1) = 1-P(z<1) = 1-0.8413 = 0.1587[/tex]

Hence,

The probability that the pen will last at least 440 days is 0.1587

What is the slope of the line?answer

Answers

Answer:

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

Step-by-step explanation:

Answer:

The slope of the line is -2.

Step-by-step explanation:

Because the line is going down from left to right it is considered a negative slope. The rise is -2 and the run is 3, so the slope of the line in integer form is -2.

But, if it was in fraction form the slope would be -2/3.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Consider the statement: "The president of the United States is a United States citizen."

Is the statement a grammatically correct sentence?

What is the subject of the sentence? What is the verb in the sentence?

Is the sentence true?

Answers

Yes this statement is grammatically correct , subject- president
Verb- is
And yes
The sentence should capitalize the word “President” because “President of the United States” is a complete title.

The subject is The President of the United States.

The verb in this sentence is “is”.

This sentence is true.

A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

[tex]Distance = 880ft[/tex]

Step-by-step explanation:

Given

[tex]Speed = 20\frac{miles}{hour}[/tex]

[tex]Time = 30\ seconds[/tex]

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Distance the subject

[tex]Distance = Speed * Time[/tex]

[tex]Distance = 20 miles/hour * 30 seconds[/tex]

Convert seconds to hour

[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]

[tex]Distance = 20 miles * \frac{30}{3600}[/tex]

[tex]Distance = \frac{20 miles * 30}{3600}[/tex]

[tex]Distance = \frac{600\ miles}{3600}[/tex]

[tex]Distance = \frac{1}{6} miles[/tex]

Convert to foot

[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]

[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]

[tex]Distance = \frac{5280\ ft}{6}[/tex]

[tex]Distance = 880ft[/tex]

let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108

Answers

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

Round 61.7625 to the neares

Answers

Answer:

Nearest whole: 62

Nearest tenth: 61.8

Nearest hundredths: 61.76

Nearest thousandths: 61.763

what is the slope (5,7) and (2,-2)​

Answers

Answer:

slope = 3

Step-by-step explanation:

to find the slope you do (y2-y1)/(x2-x1)=m

so we can plug the points into this formula

(5,7)     (2,-2)

x1 y1    x2 y2

-2-7/2-5=m

-9/-3=m

Simplifies to

3=m

asia is a chef in a restaurant to prepare for dinner service she chopped 7 1/2 onions into 1/6 of an hour what is Asia's rate of chopping in onions per hour ​

Answers

We’re is the question that I can answer it for you? Can you please say the question

which of the following is the simplified form of the expression 12z-4y+16z-8y

-28z+12y


28z-12y

-28z-12y

28z+12y​

Answers

Answer:

28z-12y

Step-by-step explanation:

1. In the figure shown, e1 || 12. If m<3 = 83,
a. Determine the measures of the other seven angles in the figure
118
27
316
45
x Clear
Undo
- Redo
m <1 =
m <2 =
1
m <3 = 830
m <4=
m <5 =
m <6 =
m <7=
m <=
b. Choose one of the angle measures you found and justify your answer.

Answers

Answer/Step-by-step explanation:

Given:

m<3 = 83°

The following are the angle measures of the seven angles including the justification of each answer.

m<1 = m<3 (corresponding angles are congruent)

m<1 = 83° (substitution)

m<2 + m<3 = 180° (same side consecutive interior angles are supplementary)

m<2 = 180° - m<3 (Subtraction property of equality)

m<2 = 180 - 83

m<2 = 97°

m<4 + m<3 = 180° (linear pair)

m<4 = 180 - m<3 (Subtraction property of equality)

m<4 = 180 - 83 (substitution)

m<4 = 97°

m<5 = m<3 (vertical angles are congruent)

m<5 = 83°

m<6 = 180° - m<3 (linear pair theorem)

m<6 = 180 - 83°

m<6 = 97°

m<7 = m<3 (alternate interior angles are congruent)

m<7 = 83°

m<8 = m<6 (corresponding angles are congruent)

m<8 = 97°

help please
3/11 × 4/9 =​

Answers

Answer:

4/33

Step-by-step explanation:

Multiply 3x4 across which equals 12

Multiply 11x9 across which equals 99

Simplify to equal 4/33

Hope this helps!! :)

Answer:

Exact Form:

433

Decimal Form:

0.¯¯12¯¯

Step-by-step explanation:

Where is the punctuation error in this sentence?

More people came to the meeting1 than had been expected. They were standing2 in the aisles3 in the hall,4 and on the front steps.

Answers

Answer:

That is that It is Most not More

Answer:

It is number 3

Step-by-step explanation:

Counting up on a number line starting at 0 corresponds with what numbers

Answers

The number coryspimding is seventie

HELP Identify any vertical, horizontal, or oblique asymptotes in the graph of y = f(x). State the domain of f

Answers

Step-by-step explanation:

hope this helps, happy learning

Two vertical asymptotes exist. The leftmost one's equation is, x = -6, and the rightmost one's equation is, x = 6.

What is oblique asymptotes?An asymptote along a line is called an oblique or slant asymptote. Oblique asymptotes are formed when the degree of the denominator of a rational function is one less than the degree of the numerator. For example, the function has a vertical asymptote at the line and an oblique asymptote about the line. (-, -6) U (-6, 6) U Domain: (6, )On the f(x) graph, there are two vertical asymptotes. The equation for the left one is x = -6, and the equation for the right one is x = 6.Because there are vertical asymptotes at x=-6 and x=6, the domain of f is (-infinity -6) U (-6,6) U.

Domain: ,(-∞, -6) U (-6, 6) U (6, ∞)

There are two vertical asymptotes on the f(x) graph. The leftmost one's equation is:

x = -6

and the equation of the rightmost one is:

x = 6

Part B

The vertical asymptotes at x=-6 and x=6 define the domain of f as follows:

(-∞, -6) U (-6, 6) U (6, ∞)

Therefore, Two vertical asymptotes exist. The leftmost one's equation is x = -6, whereas the rightmost one's equation is x = 6.

The complete question is:

Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of f. Identify any vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. There is only one vertical asymptote. Its equation is (Type an equation.)OB. There are two vertical asymptotes. The equation of the leftmost one is and the equation of the rightmost one is (Type an equation.)OC. There are no vertical asymptotes.

To learn more about oblique asymptotes, refer to:

brainly.com/question/11866729

#SPJ2

4(3x + 2) = 4(2x + 3) + 4x

Answers

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

What is the determinant of? –18 –8 10 18

Answers

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[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]

[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]

[tex] - 324 + 80 = - 244[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

D

Step-by-step explanation:

Edge

Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100

Answers

Answer:

None of the expressions is equal to 0.7 x 0.41.

Step-by-step explanation:

Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:

A. 7,100 × 41100 = 291,810,000

B. 710 × 41100 = 29,181,000

C. 7100 × 4110 = 29,181,000

D. 710 × 4110 = 2,918,100

E. 70100 × 41100 = 2,918,100,000

Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.

There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.

Given :

Expression  --  0.7 × 0.41

The arithmetic operations can be used in order to evaluate the given expression.

[tex]0.7\times 0.41 = 0.287[/tex]

Now, check all the options in order to determine the correct option.

A) 7100×41100

Evaluate the above expression by using the arithmetic operations.

[tex]7100\times 41100 = 291810000[/tex]

Therefore, this option is incorrect.

B) 710×41100

Evaluate the above expression by using the arithmetic operations.

[tex]710\times 41100 = 29181000[/tex]

Therefore, this option is incorrect.

C) 7100×4110

Evaluate the above expression by using the arithmetic operations.

[tex]7100\times 4110 = 29181000[/tex]

Therefore, this option is incorrect.

D) 710×4110

Evaluate the above expression by using the arithmetic operations.

[tex]710\times 4110 = 2918100[/tex]

Therefore, this option is incorrect.

E) 70100×41100

Evaluate the above expression by using the arithmetic operations.

[tex]70100\times 41100 =2881110000[/tex]

Therefore, this option is incorrect.

For more information, refer to the link given below:

https://brainly.com/question/25834626

Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123​

Answers

Answer:

En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.

Step-by-step explanation:

Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:

E + HP = 5 x C

E = 3 x C

C + HP = 123

Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:

Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.

Entonces, las equivalencias son las siguientes:

E = 3C

HP = 2C

Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.

A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).

May u please help me ill give out the brainly

Answers

Answer: The answer that I think is A

sry if wrong

It’s A your welcome

I know the sum of positive and negative numbers will be positive when
I know the sum of positive and negative numbers will be negative when

ANSWER BOTH QUICK

Answers

Answer:

When the positive number is greater than the negative number

Step-by-step explanation:

-6 + 7 =1 because -6 + 6 + 0 then you add 1.

Answer:

1. there are to negatives or two positives

2. there is one positive and one negative

What is the product of = 4/9 and 1/11?
4/99
5/99
9/44
1/4

Answers

4/9 and 1/11

product means multiplying

4 times 1

4*1=4

9 times 11

9*11=99

answer: 4/99

A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?​

Answers

Answer:

No, every student will have 3.2 minutes

Answer:

Each student has approximately 3 minutes and 12 seconds.

Step-by-step explanation:

You divide the total amount of minutes by the total amount of students. 48/15=3.2

After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds

help please
what is 3/4×5/7 =​

Answers

Answer:

15/28 simplified to 5/8 (credit to other answer.)

Step-by-step explanation:

Multiply the top numbers 3*5 which equals 15 and then multiply the bottom numbers 4 and 7 for 28. Put 15 over 28.

PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT

White an equation in slope intercept form whose slope is 10 and y intercept is -3.

Answers

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

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