geometry question stated above

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Answer:

Twenty five times the sum of ten and three.

Answer:

Here,

A factory produced 252 televisions in 9 hour

In 1 hour it produces 252/9 televisions

= 28

so the answer is it produces 28 televisions per hour or each hour.

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

discriminant = (-13)² - 4·2·15 = 49

discriminant > 0 so there are two real roots

Answer:

.

Step-by-step explanation:

Answer:

Answer:

Order from Least to Greatest

-33/5 < -3.5 < 3.3 < 3 1/3

Step-by-step explanation:

Answer:its the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Property of the kite: diagonals are perpendicular

Perimeter is the sum of the side lengths:

Answer:

m<7

Step-by-step explanation:

Answer:

m<7

Step-by-step explanation:

Answer:

positive

Step-by-step explanation:

Answer:

Answer: Positive

Step-by-step explanation:

Answer:

A,D,C

Step-by-step explanation:

Answer:

The first 4

Step-by-step explanation:

any that are whole numbers

Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

Answer:

The required function is:

Please check the attached graph.

Step-by-step explanation:

We need to write a function to match the function machine  multiply the input by -3, then  subtract 2.

Let 'x' be the input.

Therefore, multiply the input by -3, then  subtracting 2 would give us the result:

f(x) = 3x - 2

Therefore, the required function is:

Please check the attached graph.

Answer:

You did but you forgot to turn it back into a whole number! Your final answer would be 1  and 1/3 Step-by-step explanation: 15 goes into 20 once which gives you the 1. You are then left with 5/15 which can be simplified into 1/3. 1 and 1/3

Answer:

D

Step-by-step explanation:

Since Jackson has 7 1/2 hours to spend at the amusement park, he has already spent 1 1/2 of those hours at the water park (We will need this shortly). Since he has 6 hours remaining and 3 parks to go, he can't spend more than 7 1/2 hours at the park. This means that the answer will have to be less than or equal to. Finally, it would be D because he can spend any amount of time at the other 3 parks (x) plus the 1 12 hours he already spent.

Answer:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

[tex]Cost = \$1.05[/tex]

Step-by-step explanation:

Given

[tex]Volume = 100in^3[/tex]

[tex]Cost =\$0.014[/tex] -- Top and Bottom

[tex]Cost =\$0.007[/tex] --- Sides

Required

What dimension of the cylinder minimizes the cost

The volume (V) of a cylinder is:

[tex]V = \pi r^2h[/tex]

Substitute 100 for V

[tex]100 = \pi r^2h[/tex]

Make h the subject

[tex]h = \frac{100 }{\pi r^2}[/tex]

The surface area (A) of a cylinder is:

[tex]A = 2\pi r^2 + 2\pi rh[/tex]

Where

[tex]Top\ and\ bottom = 2\pi r^2[/tex]

[tex]Sides = 2\pi rh[/tex]

So, the cost of the surface area is:

[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]

[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]

[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]

Open bracket

[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]

[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]

To minimize, we differentiate C w.r.t r and set the result to 0

[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Set to 0

[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Collect Like Terms

[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]

Cross Multiply

[tex]0.056\pi r *r^2= 1.4[/tex]

[tex]0.056\pi r^3= 1.4[/tex]

Make [tex]r^3[/tex] the subject

[tex]r^3= \frac{1.4}{0.056\pi }[/tex]

[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]

[tex]r^3= \frac{1.4}{0.17584}[/tex]

[tex]r^3= 7.96178343949[/tex]

Take cube roots of both sides

[tex]r= \sqrt[3]{7.96178343949}[/tex]

[tex]r= 1.997[/tex]

Recall that:

[tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]

[tex]h = \frac{100 }{12.52}[/tex]

[tex]h = 7.987[/tex]

Hence, the dimensions that minimizes the cost are:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

To calculate the cost, we have:

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]

[tex]Cost = \$1.05[/tex]

Answer:

easy...

132.75total cost

4.75 for each book  

Step-by-step explanation:

not a) it would be far to large

not b) again to large

maybe c) not to big but still small

not d) to big yet again

id assume c? im not to smart tho

Answer:

theres nothing there

Step-by-step explanation:

Answer:

Convert Equation 1 to slope-intercept form.

y

=

−

x

+

4

The two equations have the same slope,  

m

=

−

1

, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.

graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}

Step-by-step explanation:

Answer:

5 liters

Step-by-step explanation:

1,000 milliliters= 1 liter.

5,000/1,000 is 5 liters

Answer:

5 liters

Step-by-step explanation:

but not sure about answer

Answer:

7 = 49.....

Step-by-step explanation:

7 * 7. = 49

ok....

thanks

It’s 4 pieces of ribbon :)

The number of 4 of photo frames that can be decorated using 4/5 meter of ribbon.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Jamie needs 1/5 meter of ribbon to decorate the border of a photo frame.

And Jamie has  4/5 meter of ribbon.

To find the number of photo frames that can be decorated using 4/5 meter of ribbon:

So, using division operation,

the number of photo frames,

= 4/5 ÷ 1/5

= 4 x 5/5

= 4

Therefore, Jamie can make 4 photo frames from the given ribbon.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

9514 1404 393

Answer:

  >

Step-by-step explanation:

We know that 5 + 3 = 8, so 5 2/3 +3 = 8 2/3.

This problem has you adding 3 3/4, not 3, so the sum will clearly be "greater than" 8 2/3.

  5 2/3 + 3 3/4 > 8 2/3

Answer:

im pretty sure 1 and 5 are correct i dont know the 3rd one though

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{cl}-x^2+11x-28&\text{for $4<x<7$}\\x^2-11x+28&\text{otherwise}\end{array}\right.[/tex]

Step-by-step explanation:

The absolute value function negates its contents when those contents are negative. Here, the quadratic factors as ...

 x^2 -11x +28 = (x -4)(x -7)

so will be negative when the factors have different signs. That will be the case for 4 < x < 7.

The piecewise function can be written in 3 parts, one part for x ≤ 4, another part for 4 < x < 7, and the remaining part for 7 ≤ x. The function expressions for x ≤ 4 and 7 ≤ x are identical.

In the answer above, we chose to write it with the part where the quadratic is negated being defined on the appropriate interval, and using "otherwise" for the rest of the function. It is a little unconventional to do it this way, but it is more compact and completely defines the function.