The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.

Answer:

C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)

Step-by-step explanation:

a p e  x , just took the quiz

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

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Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]

Answer: 3/21=1/7

Step-by-step explanation:

Answer:

4000 N

Step-by-step explanation:

this question should be in physics actually

m = 1200 kg

initial velocity = vo = 15 m/s

final velocity = vt = 0 because it stops

time needed = t = 4.5

so we can find the Force F by these step

first find deacceleration

vt = vo + at

0 = 15 + a(4.5)

15 = -4.5a

a = - 15/4.5 = - 10/3 = - 3.33 m/s²

F = m.a = 1200 . 10/3 = 4000 N

Answer:

Based on the given information in the problem, 18 is found to be 75% of 24.

Step-by-step explanation:

In order to solve this problem, we must first know what we are being asked to do. In the problem, we are asked to find what percent of 24 is 18. We can find this percentage by dividing. We will divide 24 by 18.

18 ÷ 24 = 0.75

Now, we multiply this number by 100 to get the percent.

0.75 × 100 = 75

So, 18 is 75% of 24.

Answer:

the correct answer would be 75%

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Answer:

[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]

Step-by-step explanation:

[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]

so

[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]

hope this helps

Answer:

Option (3)

Step-by-step explanation:

To prove ΔMTD ≅ ΔLGS,

               Statements                      Reasons

1). Segment TM ≅ GL               1). Given

2). Segment MD ≅ LS             2). Given

3). Segment TD ≅ GS             3). Additional information required

4). ΔMTD ≅ ΔLGS                   4). SSS property

For SSS property corresponding sides of the given triangles must be congruent.

Therefore, additional information required is segment GS ≅ TD

Option (3). will be the answer.

Answer:

g(1) =7

Step-by-step explanation:

g(x) = 2x + 5

Let x=1

g(1) = 2(1) +5

      = 2+5

       =7

Answer:

g(1) = 7

Step-by-step explanation:

g(x) = 2x + 5

Put x as 1 and evaluate.

g(1) = 2(1) + 5

Multiply 2 and 1.

g(1) = 2 + 5

Add 2 and 5.

g(1) = 7

Answer:

x = 30

Step-by-step explanation:

4x+2x=180

6x=180

x=30

The value of x is 30.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a line EB where another line FA is intersected at the point A on the line EB.

Angles formed on a line is supplementary.

The angles EAF and BAF are the angles formed on a line.

∠EAF + ∠BAF = 180°

4x + 2x = 180°

6x = 180°

x = 180° / 6

x = 30

Hence the value of the x in 4x and 2x is x = 30.

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Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

Answer:

Complementary angles are angles that add up to 90°. Supplementary angles add up to 180°.

Therefore, it's really easy to simply subtract the values that are less than 90 from 90 to receive the complement for those angles, but if it is above 90, subtract the number from 180. Therefore, your answers are as follows:

1. 54° and 144°

Complement: 90 - 36 = 54

Supplement: 180 - 36 = 144

2. 85° and 175°

Complement: 90 - 5 = 85

Supplement: 180 - 5 = 175

3. 20° and 110°

Complement: 90 - 70 = 20

Supplement: 180 - 70 = 110

4. 61° and 151°

Complement: 90 - 29 = 61

Supplement: 180 - 29 = 151

5. 40.8° and 130.8°

Complement: 90 - 49.2 = 40.8

Supplement: 180 - 49.2 = 130.8

6. 12°

Complement: 90 - 168 = -78 (negative angles do not work)

Supplement: 180 - 168 = 12

7. 79° and 169°

Complement: 90 - 11 = 79

Supplement: 180 - 11 = 169

8. 90 - 2x and 180 - 2x

Complement: 2x + (something) = 90 → 90 - 2x

Supplement: 180 - 2x

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Answer:

It’s b

Step-by-step explanation:

Answer:

The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.

Answer: 24

Step-by-step explanation:

40/5=8

So 8hrs per pool, and there are  3 pools so 8*3=24min

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

Answer:

answer is B. 77 percent means 77/100

Have a great day

Step-by-step explanation:

brainliest please!!!!

Answer:

if 52x=1 what is the value of x

Answer:

5.

Step-by-step explanation:

Khan academy (I tried 5 and it was correct)

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

Answer:

80% of the rectangle is shaded.

Step-by-step explanation:

There are 10 rows and of those rows 8 are shaded.

Answer:

D

Step-by-step explanation:

80/10

10 20 30 40 50 60 70 80 90 100

 8 shaded so 80 percent

Answer:

[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]

Step-by-step explanation:

[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]

[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]

[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into

[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into

[tex]123456654321 - 12345654321[/tex] subtract turns into

[tex]111111000000[/tex]

Answer: 111,111,000

Step-by-step explanation: Logically it should be that