The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.2 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past and finds that the mean replacement time is 3.9 years. Assuming that the laptop replacement times have a mean of 4.2 years and a standard deviation of 0.6 years, find the probability that 38 randomly selected laptops will have a mean replacement time of 3.9 years or less.

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In the given question some of the data is missing so, its correct question is defined in the attached file please find it.

Let

A is quality score of A

B is quality score of B

C is quality score of C

[tex]\to P[A] =0.55\\\\\to P[B] =0.28\\\\\to P[C] =0.17\\[/tex]

Let F is a value of the content so, the value is:

[tex]\to P[\frac{F}{A}] =0.15\\\\\to P[\frac{F}{B}] =0.12\\\\\to P[\frac{F}{C}] =0.14\\[/tex]

Now, we calculate the tooling value:

[tex]\to p[\frac{C}{F}][/tex]

using the baues therom:

[tex]\to p[\frac{C}{F}] = \frac{p[C] \times p[\frac{F}{C} ]}{p[A] \times p[\frac{F}{A}] + p[B] \times p[\frac{F}{B}]+p[C] \times p[\frac{F}{C}] }[/tex]  

            [tex]= \frac{ 0.17 \times 0.14 }{0.55 \times 0.15 + 0.28 \times 0.12 + 0.17 \times 0.14 } \\\\= \frac{0.0238}{0.0825 + 0.0336 + 0.0238} \\\\= \frac{0.0238}{0.1399} \\\\=0.1701[/tex]

Answer:

The function values of [tex]{q(2)}[/tex] is [tex]\bold{\dfrac{11}{4}}[/tex], [tex]q(0)[/tex] is UNDEFINED and [tex]q(-x)[/tex] is [tex]\bold{2+\dfrac{3}{x^2}}[/tex]

Step-by-step explanation:

Given,

[tex]q(t)=\dfrac{2t^2+3}{t^2}[/tex]

Part (a)

Find [tex]q(2)[/tex]

Put [tex]2[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(2)[/tex].

Therefore,

[tex]\begin{aligned}q(2)&=\dfrac{2\times2^2+3}{2^2}\\&=\dfrac{8+3}{4}\\&=\dfrac{11}{4}\end{aligned}[/tex]

Part (b)

Find [tex]q(0)[/tex]

Put [tex]0[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(0)[/tex].

[tex]\begin{aligned}q(0)&=\dfrac{2\times0^2+3}{0^2}\\&=\dfrac{3}{0}\\&=\infty\end{aligned}[/tex]

Part (c)

Find [tex]q(-x)[/tex]

Put [tex]-x[/tex] for [tex]t[/tex] for finding the value of the function [tex]q(-x)[/tex].

Therefore,

[tex]\begin{aligned}q(-x)&=\dfrac{2\times(-x)^2+3}{(-x)^2}\\&=\dfrac{2x^2+3}{x^2}\\&=2+\dfrac{3}{x^2}\end{aligned}[/tex]

Step-by-step explanation:

3/75

4/100

12/300

The completed table is:

Eggs                                 Time (hours)

  3                                            75

 100                                        2500

  12                                          300

In a double number line diagram, equivalent ratios are represented by two parallel number lines.

Given that, the hen takes 25 hours to produce 1 egg.

1 egg = 25 hours

3 eggs = 25 × 3 hours

3 eggs = 75 hours

Similarly,

100 eggs = 2500 hours

and,

12 eggs = 300 hours

Hence, the completed table is:

Eggs                                 Time (hours)

  3                                            75

 100                                        2500

  12                                          300

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Answer:

84 cents a pound divide 2 1/4 by 1.89 equals 0.84

Step-by-step explanation:

:)

Answer:

-17-40+25

=25-57

= -32

Answer:

No, because 7/2 can be simplified to 21/6, and that is not proportional.

Step-by-step explanation:

Answer: x^2+6x+9

Step-by-step explanation:

this will factor out to

X^2+6x+9

Answer:

x^2 + 6x + 9

Step-by-step explanation:

This is asking for (x+3) (x+3)

Using the FOIL method

(x * x) First, x times x

+ 3x Outside, x times 3

+ 3x Inside, x times 3

+ 9 Last, 3 times 3

Therefore, we have

(x*x) + 3x + 3x + 9

And simplified

x^2 + 6x + 9

Answer:

[tex]Time = 1.2\ hours[/tex]

Step-by-step explanation:

Given

[tex]Speed= 85\ miles/hour[/tex]

Required

Determine the time for 102 miles

In this case, we make use of Speed formula as follows:

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

This gives:

[tex]85 = \frac{102}{Time}[/tex]

Solve for Time

[tex]Time = \frac{102}{85}[/tex]

[tex]Time = 1.2\ hours[/tex]

Hence, the time needed is 1.2 hours

Answer:

-4

Step-by-step explanation:

subtracting form a negative will result in a negative number

Answer:

c)-4

Step-by-step explanation:

-1 minis 3 is 3 less that -1

Answer:

Lets calculate the slope of the line 'l'

Slope is rise over run of a line, so we will see how much the y of the line changes by changing x by 1

So, basically we will select a point on the line and see how much the y-value increases for the point rightward to our point

we see that the y increased by 1 and hence, its slope is 1

Now, the slope of line 'k'

again, we will select a point and go one point to the right

here, we see that the y increases by 2

therefore the slope of line 'k' is 2

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

Answer:

The scale factor is a proportional relationship.   The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship. Enlargements have a scale factor greater than 1.  Reductions have a scale factor between 0 and 1. The proportion should be preserved.

Hope this Helps!

3751.25 cm³

Hi there !

Volume (sphere) formula

V(s) = (4/3) × π × r³

we have two hemisheres

V(h) = (4/3) × π × r³ /2

= (2/3) × π × r³

V₁ = 2/3 ₓ π ₓ (12cm)³

= 2/3 ₓ π ₓ 1728cm³

= 1152π cm³

V₂ = 2/3 ₓ π ₓ (4cm)³

= 2/3 ₓ π ₓ 64cm³

= 128π/3 cm³

V = V₁ + V₂

= 1152π cm³ + 128π/3 cm³

= 3617.28 cm³ + 133.97 cm³

= 3751.25 cm³

Good luck !

The answer "yes" applies to addition, subtraction, and multiplication. This is because we can take any two integers and add them to get some other integer

eg: 5+7 = 12

We can subtract two integers to get some integer

eg: 9-1 = 8

And we can multiply two integers to get an integer

eg: 4*6 = 24

--------------

The only one that isn't closed is division. We can divide some integers to get another integer

eg: 10/2 = 5

but there are cases where dividing two integers does not lead to another integer

eg: 8/5 = 1.6

The result 1.6 is not an integer since it has a decimal part

Also, the example your teacher provides has

1/6 = 0.167 approximately which is also not an integer

Answer:

C. 11

Step-by-step explanation:

15-4=11

Answer:

[tex]\huge\boxed{2.93\%}[/tex]

Step-by-step explanation:

Calculate the difference:

[tex]0.273-0.265=0.008[/tex]

Calculate the ratio:

[tex]\dfrac{0.008}{0.273}=\dfrac{0.008\cdot1000}{0.273\cdot1000}=\dfrac{8}{273}[/tex]

Convert to percentage:

[tex]\dfrac{8}{273}=\dfrac{8}{273}\cdot100\%=\dfrac{800}{273}\%\approx2.93\%[/tex]

Answer:

Least to greatest

Step-by-step explanation:

912.202

912.21

913.601

913.61

Add zero's next time, (to 912.21  and 913.61 . It could help.)

Answer:

put a dot on point (2,-4) then go one to the right and one down hope this helps

Step-by-step explanation:

The equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

The equation of a line is the relation between the x-coordinates and y-coordinates of the points on the line, such that all (x, y) points, satisfies this equation.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

In the question, we are asked to graph the line with slope -1, and passing through the point (2, -4).

We know that, the slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept of the line.

Substituting m = -1, x = 2, and y = -4, in the equation, we get:

-4 = -1(2) + b,

or, b = -4 + 2 = -2.

Thus, the equation of the line is: y = -1(x) - 2,

or, x + y = -2.

Thus, the equation of the line having a slope of -1, and passing through the point (2, -4) is x + y = - 2.

The graph for the equation is attached.

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Answer:

x+8

Step-by-step explanation:

4x-3x=x

5-(-3)=8 or 5+3=8

Reason its adding is because a - times a - equals a positive

Answer:

the answer is

Step-by-step explanation:

156.558 or 157.0

or

0.0060

Answer:

-2x,y5

Step-by-step explanation:

Hope this helped

Answer:

Undefined it looks like, if not,  it is zero.

Step-by-step explanation:

:>

Answer:

i just took the test and its A and C

Step-by-step explanation:

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = [tex]\frac{1.4}{100}[/tex] x 130

                  = 0.014 x 130

                  = 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

Answer:

12 minutes

Step-by-step explanation:

Mark walks in 3 minutes. Darnell walks 4 times as long to walk to school as Mark did.

You need to multiply 3 x 4 = 12 minutes