The price of lunch increased from $4.00 to $5.00 . What is the percent increase?

Answer:

[tex] x = 17 [/tex]

Step-by-step explanation:

[tex] 2x + 7 = 3x - 10 [/tex] (alternate exterior angles are congruent when a transversal cuts across two straight lines)

[tex] 2x - 3x = -7 - 10 [/tex] (collecting like terms)

[tex] - x = -17 [/tex]

[tex] \frac{-x}{-1} = \frac{-17}{-1} [/tex] (dividing both sides by -1)

[tex] x = 17 [/tex]

Answer:

The probability is [tex]P(A \ge 50 ) = 0.14321[/tex]

Step-by-step explanation:

The average life span is  [tex]\pi = 8[/tex]

The sample size is n =  200

Generally we are told that average lifespan for a certain type of vehicle follows an exponential distribution

i.e  

             [tex]X \~ \ \ \ exp(8)[/tex]

Gnerally the probability distribution function for exponential distribution is

       [tex]f(x) = \left \{ {{\lambda * e^{-\lambda * x }\ \ \ x\ge 0 } \atop {0 \ \ \ \ \ \ \ \ \ \ x < 0}} \right.[/tex]

Now [tex]\lambda[/tex] is the  constant which is evaluated as

      [tex]\lambda = \frac{1}{\pi}[/tex]

=>   [tex]\lambda = \frac{1}{8}[/tex]

=>   [tex]\lambda = 0.125[/tex]

Generally the that the vehicles will fail in less than 2 years is  mathematically represented as

         [tex]P(X \le 2 )= p= \int\limits^2_0 {\lambda e^{- \lambda * x} } \, dx[/tex]

        [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * x} } ]|\left 2 } \atop {0}} \right.[/tex]

       [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 2} } ] - [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 0} } ][/tex]

     [tex]P(X \le 2 )= p= -0.77880 + 1[/tex]

     [tex]P(X \le 2 )= p= 0.2212[/tex]

Generally the probability that the vehicle will fail in the first 2 years follows a binomial  distribution  with the mean evaluated as

         [tex]\mu = n * p[/tex]

=>      [tex]\mu = 200 * 0.2212[/tex]

=>      [tex]\mu = 44.24[/tex]

The standard deviation is

       [tex]\sigma = \sqrt{np(1 - p)}[/tex]    

      [tex]\sigma = \sqrt{200 * 0.2212 (1 - 0.2212)}[/tex]  

      [tex]\sigma = 5.86[/tex]

Using normal approximation of binomial  distribution the  probability that 50 or more of them fail in the first 2 years is mathematically represented as

   [tex]P(A \ge 50 ) = 1 - P(A < 50 )[/tex]

Applying continuity correction

    [tex]P(A \ge 50.5 ) = 1 - P(A < 50.5 )[/tex]

Here

    [tex]P(A < 50.5 ) = P(\frac{A - \mu }{\sigma} < \frac{50 - 44.24}{5.87} )[/tex]

Generally  

       [tex]\frac{A - \mu }{\sigma} = Z (The \ standardized \ value \ of A )[/tex]

=> [tex]P(A < 50.5 ) = P( Z < 1.0664 )[/tex]

From the z-table the probability value  of  ( Z  <  1.0664   ) is  

     [tex]P( Z < 1.0664 ) = 0.85679[/tex]

So  

   [tex]P(A \ge 50 ) = 1 - 0.85679[/tex]

=> [tex]P(A \ge 50 ) = 0.14321[/tex]

multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation

multiply the top equation by 3, multiply the bottom equation by -2, then add the equations

Answer: 1902 had 357 people and 2002 had 180.2 people so, the answer would be  

176.8

Step-by-step explanation: i hope  this helps

plz tell me if its wrong so i can fix it

Answer:

A: The quantity of the price would be measured in dollars depends on the quantity of time measured in minutes.

Step-by-step explanation:

A seemed like the best answer to me. I hope I helped

Answer:

13) 28

14) 22

15) 24

16)13

Step-by-step explanation:

13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.

14) Same thing as 13, 13+9=22

15) Same thing as others but make an equation

-1+2x+11=3x+3

Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.

3(7)+3=21+3=24

16) build the equation:

x+14+x+10=22

2x+24=22

2x=-2

x=-1

Now plug in x=-1 to x+14.

-1+14=13

Answer:

$ 35.00

Step-by-step explanation:

50.00 ÷ 10 = 5.00 (10%)

5.00 x 3 = 15.00 ( 30%)

50 - 15 = 35.

Sorry I couldn't explain more, But I hope this helps!

Answer:

252

Step-by-step explanation:

7 yards is equivalent to 252 inches.

Answer:

252 inches

Step-by-step explanation:

There are 3 feet in 1 yard. Multiply 7 yards x the 3 feet in each 1 yard.

You should now have 21 feet.

Multiply 21 feet x the 12 inches in each foot.

You should come up with 252 inches as your final product.

Step-by-step explanation:

This is mean domain is all real numbers

Answer:

260 miles.  

Step-by-step explanation:

350-90=260  

If you see the word difference in an equation, it means to subtract. :) hope that helps

Complete Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.

If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet

Answer:

The value is [tex]P(X < 194 ) = 0.25785[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 220 \ feet[/tex]

   The standard deviation is  [tex]\sigma = 40 \ feet[/tex]

Generally the probability that this ball traveled fewer than 194 feet is mathematically represented as

       [tex]P(X < 194 ) = P(\frac{X -\mu}{\sigma } < \frac{194 - 220}{40} )[/tex]

Generally   [tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]

         [tex]P(X < 194 ) = P(Z < -0.65 )[/tex]

From the z-table the probability of  [tex](Z < -0.65 )[/tex]

      [tex]P(Z < -0.65 ) = 0.25785[/tex]

So  

     [tex]P(X < 194 ) = 0.25785[/tex]

Answer:

$0.51

Step-by-step explanation:

If each box of cereal is $2.40, $2.40 multiplied by 4 is $9.60. $10.11 is the total, so $10.11 - $9.60 = $0.51.

Answer:

$0.51

Step-by-step explanation:

the person above me was correct

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

Answer:

2*2*3*5

Step-by-step explanation:

Answer:

[tex]y=-x-15[/tex]

Step-by-step explanation:

Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.

Simplify this equation.

Distribute -1 inside the parentheses.

Subtract 8 from both sides of the equation.

This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.

Answer: p = 4n

Step-by-step explanation:

To find the perimeter of a shape, you need to add the length of the 4 sides. A square's 4 sides are equal. Therefore, you add n+n+n+n which is the same as 4n.

Answer:

P = n4

Step-by-step explanation:

in order to find the perimeter of an object you must add up all the sides. since we are dealing with a square all the sides are n. so in conclusion, 4 times n would you get you the perimeter, P.

Answer:

The y-intercept is 5 so that is where it will start then just keep going down by 2 since the slope is (-2)

hope this helps =3

Answer:

c

......................

Step-by-step explanation:

.....................

Answer:

c

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

3x+4=19

3x+4-4=19-4

3x=15

15/3x=

X=5

Hope this helps!

AB = 2x + 3

Just subtract the 3x - 1 from 5x + 2 = 2x + 3 is AB

x = 2

AB = 12

MB = 7

AM = 5

Hope this helps.

Answer:

f(x)=9

Step-by-step explanation:

f(x)=-(-2)+7

f(x)=9

Answer:  k = {8, -8}

Step-by-step explanation:

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8

Answer:

Jared is 14 years old

Step-by-step explanation:

Answer:

47.581

Step-by-step explanation:

can't explain I just know how to do it