what if f(0)?
12 only
2 and 3 only
-2,-1,1 and 2 only
-2,-1,1,2 and 12

Answer:

Step-by-step explanation:

Given the intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It, we are to write lt as a function of lo

Given the equation

Cosθ= √ Io/It

Let us make lt the subject of the formula;

square both sides of the equation

(Cosθ)²= (√ Io/It)²

cos²θ = lo/lt

cross multiply

ltcos²θ = lo

divide both sides by cos²θ

ltcos²θ/ cos²θ= lo/cos²θ

lt = lo/cos²θ

Hence the expression of lt as a function of lo is lt = lo/cos²θ

Answer:There is not enough information to make any of the conclusions above

Step-by-step explanation:

Answer:

The  probability distribution of x is  

     Profits in millions (x)                            Probability of getting contract (P(x))

          $10                                                                   0.15

          $ 5                                                                    0.30

          $ 2                                                                    0.45

          $ 0                                                                    0.10

The  mean is  [tex]E(X) = 3.9 millions  [/tex]

The  standard deviation is  [tex]s = 3.01 \  millons   [/tex]

Step-by-step explanation:

Generally the probability distribution of  x is

 Profits in millions (x)                            Probability of getting contract (P(x))

          $10                                                                   0.15

          $ 5                                                                    0.30

          $ 2                                                                    0.45

          $ 0                                                                    0.10

Generally the mean is mathematically represented as

     [tex]E(X) =  x  *  p(x)[/tex]

=>    [tex]E(X) =  [10 *  0.15 ]  +  [5 *0.30 ] + [2 *  0.45 ] + [0 * 0.10] [/tex]

=>    [tex]E(X) = 3.9 millions  [/tex]

Now

      [tex] E(X^2) =  x^2 * p(x)[/tex]

=>   [tex] E(X^2) =  (10 ^2 *   0.15) +  (5  ^2 *   0.30) +(2  ^2 *   0.45) + (0 * 0.10)[/tex]

=>   [tex] E(X^2) = 24.3 [/tex]

Gnerally the variance is mathematically represented as

        [tex]V(X) =  E(X^2) - [E(X)]^2[/tex]

=>      [tex]V(X) =  24.3 -  3.9^2[/tex]

=>     [tex]V(X) =  9.09 [/tex]

Gnerally the standard deviation is mathematically represented as

    [tex]s =  \sqrt{V(X)}[/tex]

=>  [tex]s =  \sqrt{9.09[/tex]

=>  [tex]s = 3.01 [/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below :

x : 89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3 64.4 53.7 63.4 46.2 63.0 92.1 57.6

Mean(m) = ΣX / n

ΣX = 1066 ; n = number of observations = 18

Mean(m) = 1066 / 18

Mean = 59.22

Standard deviation (σ) :

Using the online standard deviation calculator :

σ = √(Σ(x - m)²/n-1)

σ = √264.198395

σ = 16.72

The mean amount poured into a glass for the 18 samples is 59.22 while the variation in the data samples from the mean value is 16.72.

typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.

(59.22 - 19.7) mL = 39.52mL

Mean amount poured into a tall slender glass = 51.283

Mean (short wide glass) = 59.22mL

Mean (tall slender glass) = 51.283mL

Short wide glass > tall slender glass

Answer:

7 units because (6x-22)=(2×+6)

Answer:

The probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

Step-by-step explanation:

The random variable X can be defined as the number of incoming phone calls during the noon hour on Thursdays.

The random variable X describes a finite number of occurrences of an event in a fixed time interval.

The random variable X follows a Poisson distribution with parameter λ = 8.2.

The probability mass function of X is:

[tex]P(X=x)=\frac{e^{-8.2}(8.2)^{x}}{x!};x=0,1,2,3...[/tex]

Compute the probability of more than 4 calls as follows:    

[tex]P(X>4)=1-P(X\leq 4)[/tex]

                [tex]=1-\sum\limits^{4}_{x=0}{\frac{e^{-8.2}(8.2)^{x}}{x!}}\\\\=1-[0.00027+0.00225+0.00923+0.02524+0.05174]\\\\=1-0.08873\\\\=0.91127\\\\\approx 0.9113[/tex]

Thus, the probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.

the answer is 1 ;-; ;-; ;-; ;-;

Answer:

4

Step-by-step explanation:

The biggest number that you can divide 28 and 30 is 4.

Answer:

Greatest common factor (GCF) of 28 and 30 is 2.

Step-by-step explanation:

You find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 30.

Answer:

4 phones

Step-by-step explanation:

Answer:15

Step-by-step explanation:

Answer:

x=11 :)

Step-by-step explanation:

Answer:0D is the answer

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

if 1 friend = 3 sandwiches, and you have 4 friends, you multiply the 3 by 4 and get 12

Answer:

y = -3x + 17/10

Step-by-step explanation:

First you want to move the 2x to the other side of the equal sign for the proper way of slope-intercept form. Which makes it 6y=2x-8.

You still want to make sure that y is by itself so you divide the whole equation by 6 which makes it y=1/3x-8/6.

We have to find the slope of the a perpendicular line now and to do so, you must take the slope of the given line and make it into the opposite reciprocal.

To do that you take 1/3 and reciprocate it, which makes it 3.

Then flip the sign to make it opposite. Like making a positive into a negative and a negative into a positive. Therefore the slope of the perpendicular line is -3.

Now we must make it past through point (-2,1). To do that you have to adjust the y-intercept. Because of that, the y-intercept is 1.7 or 17/10.

The equation of the slope is y=-3x+17/10

Answer: a, c, and d

Step-by-step explanation: hard to explain

hope this helped :)

Answer:

the first  is 2 inches the 2nd one 4 inches and the 3rd is 8 inches

Step-by-step explanation:

The length of the piece is 2, 4 and 8.

Two or more expressions with an Equal sign is called as Equation.

Given that a 14 inch board is to be cut into three pieces

Let first piece be x.

The second piece is twice as long as the first piece

Second piece is 2x

The third piece is 4 times as long as the first piece.

Third piece is 4x

x+2x+4x=14

7x=14

Divide both sides by 7

x=2

Hence, the length of the piece is 2, 4 and 8.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

[tex]=256x^8y^{20}[/tex]

Step-by-step explanation:

We have the expression:

[tex](4x^2y^5)^4[/tex]

We can use the power of a product property:

[tex](ab)^x=a^xb^x[/tex]

This yields:

[tex]=(4)^4\cdot(x^2)^4\cdot(y^5)^4[/tex]

We can evaluate 4 to the fourth:

[tex]=256(x^2)^4\cdot(y^5)^4[/tex]

Now, we can use the power of a power property:

[tex](x^a)^b=x^{ab}[/tex]

So:

[tex]=256(x^{2(4)})(y^{5(4)})[/tex]

Multiply:

[tex]=256x^8y^{20}[/tex]

And we're done!

Answer:

256x^8 y^20

that's the answer I got when I simplified it

Answer:

x=34

Step-by-step explanation:

Use pythaogrean therom to find the answer. a^2+b^2=c^2 With that in mind, the answer 16^2+30^2=1156. To get the exact answer, you'll have to square root the 1156 to get 34. If you want to check you answer, take the 34 and square it then subtract it by one of the numbers it gives you.

Answer:

Constantine

Step-by-step explanation:

In 330 A.D., Roman Emperor Constantine I chose Byzantium as the site of a “New Rome” with an eponymous capital city, Constantinople. Five years earlier, at the Council of Nicaea, Constantine had established Christianity — once an obscure Jewish sect — as Rome's official religion.

Answer:

Answer 60 degrees

Step-by-step explanation:

70-10 60-5 55+7 62-2 60

9514 1404 393

Answer:

  -11

Step-by-step explanation:

DeYanna's cards are ...

  black: 2, 4, for a total value of 2+4 = 6

  red: 7, 10, for a total value of -(7+10) = -17

Then the total value of DeYanna's cards is ...

  6-17 = -11

Answer:

78.125 ft²

Step-by-step explanation:

The dimension of the tablet is given as:

Length = 1 in

Width = ½ in

First,we need to determine the measurements in feet.

Using the scale measurement:

Scale: 2 in =25 ft

Divide both sides by 2

2 in/2 = 25 ft/2

1 in = 12.5 ft

So, Length = 12.5 ft

Divide the scale measurement by 4

2 in/4 = 25 ft/4

½ in = 6.25 ft

So,

Width = 6.25 ft

Area is calculated as:

Area = Length * Width

Area = 12.5 ft * 6.25 ft

Area = 75.125 ft²

Answer:

The answer is C.

Step-by-step explanation:

The range means the values of y.

Answer:

send a picture too understand it

Step-by-step explanation:

we dont have enough information

Answer:51

Step-by-step explanation:

if I had enough money, of course I will have change.

Answer:

12

Step-by-step explanation:

We find the LCM which is simply 12.

Answer and Step-by-step explanation:

Solution:

Given:

µ = 50

∂ = 15

Lowest rating given to exemplary.

The top 10 %of the employees are related exemplary:

P(x > L) = 10 % =0.10

The average probability table in the appendix contains the only probability of the form.

P (0 < x< L ) = p ( x > 0 ) – P ( x > L )

                   = 0.5 -0.10

                    = 0.40

z- Score in the normal probability table in the appendix corresponding to a probability of 0.40 or the closest probability.

Z = 1.28

The standardized score is the value x decreased by the mean and then divided by the standard deviation.

Z = x - µ / σ

L = x = µ +z0

 = 50 + 1.28(15)

= 69.2

Lowest rating giving to competent:

The lower boundary of competent is boundary of bottom 30%

P(x < L ) = 30% = 0.30

The normal probability table contains only probability of the form p( 0≤z≤z0)

P( 0< x < -L) = P(L < x < 0)

                    = p(x < 0) – p(x < L)

                    =0.5 – 0.30

                     = 0.20

Z score in normal probability corresponding to the probability of 0.20

  -z = 0.52

Z= - 0.52

Value x decreased by the mean and  divide by standard deviation:

Z = x - µ / ∂

L = x = µ + zo

   = 50 – 0.52(15)

  = 42.2