Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation

Answer:

The value is  [tex]p-value = 0.094963[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 500

   The number of rejected parts is  k =  10

    The null hypothesis is [tex]H_o : p = 0.03[/tex]

    The alternative hypothesis is  [tex]H_1 : p < 0.03[/tex]

Generally the sample proportion is mathematically represented as

           [tex]\^ p = \frac{10}{500}[/tex]

=>       [tex]\^ p = 0.02[/tex]

Generally the test statistics is mathematically represented as

           [tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>       [tex]z = \frac{0.02 - 0.03 }{ \sqrt{\frac{ 0.03 (1-0.03)}{500} } }[/tex]

=>       [tex]z = -1.31080[/tex]

From the z table the probability of  (Z <   -1.31080) is  

      [tex]p-value = P(Z < -1.31080) = 0.094963[/tex]

Answer:

C.

Step-by-step explanation:

f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.

Answer:

see below

Step-by-step explanation:

V = Bh where B is the area of the base and h is the height

Divide each side by h

V/h = Bh/h

V/h = B

36/6 = B

6 = B

The area of the base is 6 in^2

Answer:

represents the one value

Step-by-step explanation:

Ones place

Answer:

-120

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

First solve the parenthesis which leaves you with the equation.

10 × -12

Multiply that and you get -120

If you want me to explain it more lemme know! Hopefully this helps and have a great day!

Answer:

7.5 i think

Step-by-step explanation:

Answer:

to convey the parametric expression to be use the explosions

Answer:

The ball lands on the ground at t=2.55 seconds

Step-by-step explanation:

Quadratic Equation

The following function models the height above the ground of a ball hit into the air at time t seconds:

[tex]h=25t-9.8t^2[/tex]

We need to find the value of t when the ball hits the ground.

At ground level, h is zero, thus:

[tex]25t-9.8t^2=0[/tex]

This is an incomplete quadratic equation that can be easily solved by factoring:

[tex]t(25-9.8t)=0[/tex]

There are two solutions:

t=0

t=25/9.8=2.55 s

The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:

The ball lands on the ground at t=2.55 seconds

Answer:

(f - g)(x) = -x - 6

(f + g)(x) = 3x - 4

(f*g)(4) = -9

Step-by-step explanation:

These are your equations:

f(x) = x - 5

g(x) = 2x + 1

To find (f - g)(x), subtract g(x) from f(x).

(f - g)(x) = x - 5 - (2x + 1)

(f - g)(x) = x - 5 - 2x - 1

(f - g)(x) = -x - 5 - 1

(f - g)(x) = -x - 6

To find (f + g)(x), add f(x) with g(x).

(f + g)(x) = x - 5 + 2x + 1

(f + g)(x) = 3x - 5 + 1

(f + g)(x) = 3x - 4

To find (f*g)(4), you need to first find (f*g)(4).  You can do this by multiplying f(x) wih g(x).

(f*g)(x) = (x - 5)(2x + 1)

(f*g)(x) = 2x² - 9x - 5

Now that you have (f*g)(x), solve with x as 4.

(f*g)(4) = 2(4)² - 9(4) - 5

(f*g)(4) = 2(16) - 9(4) - 5

(f*g)(4) = 32 - 36 - 5

(f*g)(4) = -9

The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x)=x-5
g(x) = 2x+1

According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4

[f + g ](x) =  3x - 4

[f - g ](x) =  x - 5 - 2x - 1
[f - g ](x) = -x - 6

(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5

(f.g)(4) = 2[4]² - 4[4] - 5
         = 32 - 16 - 5
         = 11
(f.g)(4) = 11

Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer: -1

1. Deduct 7x.

3x+2−7x=7x+6−7x

−4x+2=6

2. Deduct both sides by 2.

−4x+2−2=6−2

−4x =4

3. Divide by 4.

-4 ÷ 4 = -1

Answer. = -1

Step-by-step explanation:

9514 1404 393

Answer:

  349.0 grams

Step-by-step explanation:

The amount remaining can be modeled by an exponential function of the form ...

  remaining = (initial amount)(1 - decay rate)^t

  q(t) = 640(1 -0.073)^t

  q(8) = 640(0.927^8) ≈ 349.0 . . . grams

The amount remaining after 8 minutes is about 349.0 grams.

Answer:

I may be wrong but I believe it is 106°

Step-by-step explanation:

Answer:

<2= 133

<3 = 47

<4 = 133

<5 = 47

<6 = 133

<7 = 47

<8 = 133

Step-by-step explanation:

im assuming a transversal is cutting the two lines, and that the 2 lines are parallel

2 = u must do 180-47 since theyre supplementary angles

3 = they are vertical angles

4 = 4 is a vertical angle to 2, but you can also do 180-47 since it is supp. to 3

5 = corresponding angle to the 47 degrees one

6 = alternate interior with 4, but also corresponding with 2

7 = vertical angles with 5 but also alternate exterior with the 47 degree angle , but also supplementary with both 6 and 8, and corresponding with 3

8= corresponding with 4, but also supplementary to 7 and 5. and vertical to 6

Answer:

<2= 133  <3 = 47   <4 = 133  <5 = 47  <6 = 133  <7 = 47  <8 = 133

Answer: B.1.50

Step-by-step explanation:

22.50 divided by 5 = 4.5

21.00 divided by 3.5 = 6.0

           6 - 4.5 = 1.50

This will tell us the differences in

  how much money they made.

Answer:

It will show $32 more than she actually has!

Step-by-step explanation:

Answer:

The percent is 75%

Step-by-step explanation:

Answer:

no they are not

Step-by-step explanation:

priyas paint would be darker then mais paint because priya added an extra cup of red paint.

Answer:

10.4 meters per second i think?

Step-by-step explanation:

Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

Answer:

1.92

Step-by-step explanation:

Answer:

$1.92

Step-by-step explanation:

8% of 24

= 1.92

Answer:

(x-14)^2+(y-3)^2=9

Step-by-step explanation:

equation of a circle is (x-h)^2+(y-h)^2=r^2

so center is (14,3) and is tangent externally means

(x-14)^2+(y-3)2=3^2

(x-14)^2+(y-3)^2=9 answer

The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The standard formula for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the centre

r is the radius

Given the center at (14, 3)

If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the centre into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

Learn more here: https://brainly.com/question/24217736

Answer:

y = -5/3x -7

Step-by-step explanation:

If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).

y = mx + b

8 = -5/3(-9) + b

8 = 15 + b

b = -7

Now use m and b to form new equation of parallel line.

y = mx + b

y = -5/3x -7

Answer:

3,1

Step-by-step explanation:

Answer:

y =(x+3) ^2

Step-by-step explanation:

The zero is -3 and it  is the vertex  (-3,0)

Using the vertex form of a parabola  where  ( h,k) is the vertex

y = a( x-h)^2 +k

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2

Answer:

Step-by-step explanation:

First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.

1            7

2           14

3          21

4          28

5           35

6          42

7           49

This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!  

Answer:

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

Step-by-step explanation:

We know that the data points given by (x,y) are in direct variation if:

 for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x)        12          15         18         21

Earnings (in dollars)(y)              140        170      200     230

So, we could see the ratio as:

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

Read more about revenue and price at:

https://brainly.com/question/11859895