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.

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:

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°

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

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).

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

Answer:14 4/9

Step-by-step explanation:

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

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!

Answer:

i pretty sure it's 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

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

Answer:

28z-12y

Step-by-step explanation:

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

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!

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

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]

4/9 and 1/11

product means multiplying

4 times 1

4*1=4

9 times 11

9*11=99

answer: 4/99

Answer:

Nearest whole: 62

Nearest tenth: 61.8

Nearest hundredths: 61.76

Nearest thousandths: 61.763

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:

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.

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

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]

Answer: The answer that I think is A

sry if wrong

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.

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 .

Answer:

That is that It is Most not More

Answer:

It is number 3

Step-by-step explanation:

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

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

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

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Answer:

D

Step-by-step explanation:

Edge