The region bounded by y = e−x2, y = 0, x = 0, and x = b (b > 0) is revolved about the y-axis. (Round your answers to three decimal places.) (a) Find the volume of the solid generated when b = 2.

Answer:

Number of steps per floor= 18 steps

Step-by-step explanation:

he counted 252 steps. Emilio lives on the 14th floor.

The number of steps between the ground floor and the fourteenth floor.

Let's bear in mind that there 14 floors .

Number of steps per floor= total steps/floor

Number of steps per floor= 252/14

Number of steps per floor= 18 steps

I think that the answer is 21.2 .I can't say it with confidence but still maybe it will help you

Answer:

35/36

Step-by-step explanation:

Sample space = S

n(S) = 36

Event of obtaining sum greater than 2, = A

Event of obtaining sum less than 2, B =( 1, 1)

n(B) = 1  

Probability of obtaining sum less than 2, P(B) = n(B)/n(S) = 1/36

n(A) = 36 - 1 = 35

∴ Probability of obtaining sum greater than 2, P(A) = n(A)/n(S) = 35/36

Answer: 121

Step-by-step explanation:

If 2^x = 5, what is the value of 2³^×

This can also be re arranged in the form

(2^x)³ - 4

Since 2^x = 5, we now substitute for the value in the expression above.

5³ - 4

= 125 - 4

= 121.

Answer:

11 years

Step-by-step explanation:

t=time

1700+50t=600+150t

The reason we have this equation is because they both have the same time and based on the initial numbers that they have equating the two will give you the exact year and number of students of both school.

Answer:

y=3x

2y=x

Step-by-step explanation:

N/A

big brain award pls

Answer: 0.001 kilometer in 1 meter

Step-by-step explanation:

1 kilometer = 1000 meter

so there are 0.001 kilometer in 1 meter

Answer: To find the area of a circle you use pi x rsquared. So just 3.14x7^2= 153.86

Step-by-step explanation:

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

Answer:

The answer is not complete. But you can use a spreadsheet to construct a simulation model to estimate the average profit per unit of a set of data.

Step-by-step explanation:

To calculate the Expected value of profit, we use:

Selling price - Expected value of different costs

Selling price is Total Cost * Probability

Confidence Interval

A Confidence Interval is a range of values that someone can be sure the true value lies in.

To calculate the confidence interval, we use the formula x ± z * S/√n

Where S is the standard deviation

n is the number of observations

x is the mean

z is the chosen z value

The third quartile, or the value at which 75% of all days the stock is below, is $14.3325.

Used the formula that states,

the range of the distribution by subtracting the minimum value from the maximum value:

Range = Max value - Min value = $15.17 - $11.82 = $3.35

Given that the stock value follows a uniform distribution from $11.82 to $15.17.

Hence,

Range = $15.17 - $11.82

= $3.35

Now, the uniform distribution is symmetric, and the median (50th percentile) is the midpoint of the range,

Median = (Min value + Max value) / 2

= ($11.82 + $15.17) / 2

= $13.495

Hence, the third quartile (75th percentile);

75th percentile = Median + (0.25 × Range)

= $13.495 + (0.25 × $3.35)

= $13.495 + $0.8375

= $14.3325

To learn more about the third quartile visit:

https://brainly.com/question/9180614

#SPJ12

to find the mid point,

m=-2+1/2,-5+3/2

=-1/2,-1

Answer: 1.6 hours.

Step-by-step explanation:

Ok, the speed of the bats is 99mph.

Here we can think this situation as a circle where the radius is growing at a speed of 99mph.

We assume that the initial radius is r = 0, and we can write the equation of the radius as a linear equation that depends on the time t.

r(t) = 99mi/h*t

First, let's find the radius that we need:

The area of a circle is:

A = ´pi*r^2

If we want A = 80,000 mi^2 we have:

80,000 mi^2 = 3.14*r^2

r = √(80,000 mi^2/3.14) = 159.6 mi

So the radius must be 159.6 miles.

Now, we know that the speed at which the radius increases is 99miles per hour, and we also know that:

Distance = Speed*Time.

in this case:

Distance = 159.6 mi

Speed = 99mi/h

Time = is the thing we want to find.

159.6mi = 99mi/h*T

T = 159.6mi/99mi/h = 1.6 hours.

Answer:

Following are the answer to this question:

Step-by-step explanation:

According to Eucharistic algorithm:

[tex]gcd(un+1,un) = gcd (un+1-un, un)[/tex]  

                        [tex]= gcd (un , un-1)[/tex]

so many recursions following  

It was the first two the Fibonacci 1,1 numbers  

[tex]gcd(un+1, un) = gcd(1,1) = 1 \\\\ from 1 =1 \text{and euclidean principle} \\\\?gcd (un+1,un ) = 1[/tex]

Answer:

A. -4

Step-by-step explanation:

F(-1) means we must plug the number "-1" in for each x.

F(x) = x^2 + 3x - 2

F(-1) = (-1)^2 + 3(-1) - 2

= 1 - 3 - 2

= -4

Answer:

63 dimes

Step-by-step explanation:

Set up a system of equations where d is the number of dimes and q is the number of quarters:

d + q = 106

0.1d + 0.25q = 17.05

Solve by elimination by multiplying the top equation by -0.25 to eliminate q:

-0.25d - 0.25q = -26.5

0.1d + 0.25q = 17.05

Add together and solve for d:

-0.15d = -9.45

d = 63

So, there were 63 dimes in the piggy bank

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, this means n(A) = 6.

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

The number of whole number in the set is therefore infinite.

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation  (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

The number of whole number in the set is n(C) = 2

d)  D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

The total number of elements in both set = 29 i.e n(D) = 29

Answer:

A. 23.6

Step-by-step explanation:

Let the dotted line be y

Then

and

So

Correct answer is A. 23.6

Answer:

23.6

Step-by-step explanation:

Answer:

DCE and BCA

Step-by-step explanation:

Vertical angles are angles which lie directly opposite each other on intersecting lines. Because of this they are equal, and share the same vertex. Out of these pairs, only DCE and BCA are vertical angles because they lie opposite to each other on the lines FJ and IM, and share a vertex of point C.

Hope this helped!

Start by finding the slope of the line.

m = y2 - y1 / x2 - x1

m = 5 - 2/1 - 0 ⇒ 3/1 ⇒ 3.

So the slope of the line is 3.

This can be used with either one of our two points

to write the equation of the line in point-slope form.

So let's go with the point (0, 2).

Point-slope form is written y - y1 = m(x - x1).

Since we are using the point (0, 2), y - y1 would be y - 2.

"m" would be 3 and x1 would be 0.

So we have y - 2 = 3(x - 0).

minus 90 degree means that it will go anti clock-wise direction. So, this shape will touch on under the y-axis

Answer:

4 + x/3

4 + 1/3x

Step-by-step explanation:

Step 1: Convert "four" to number

4

Step 2: Covert "more than" to number

4 +

Step 3: Convert "one-third" to number

4 + 1/3

Step 4: Add variable x (multiplication)

4 + 1/3x

Answer:

Step-by-step explanation:

Answer:

f^-1(x) = 1/5 x

Step-by-step explanation:

y = 5x

Exchange x and y to find the inverse

x = 5y

Solve for y

1/5x = y

The inverse is 1/5x

Answer:

[tex]\Large \boxed{f^{-1}(x)=\frac{x}{5} }[/tex]

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y.

y = 5x

Switch variables.

x = 5y

Divide both sides by 5.

[tex]\frac{x}{5} =y[/tex]

Answer:

6ab+3a^2b

Step-by-step explanation:

13ab+4a^2b-9ab+2ab-a^2b

13ab-9ab+2ab+4a^2b-a^2b

4ab+2ab+4a^2b-a^2b

6ab+3a^2b

Hope this helps ;) ❤❤❤

Answer:

6ab+3a^2b

Step-by-step explanation:

13ab + 4a^2b - 9ab + 2ab - a^2b

13ab - 9ab + 2ab + 4a^2b - a^2b

4ab + 2ab + 4a^2b - a^2b

6ab + 3a^2b

Answer:

Its an integer number

Step-by-step explanation:

hope this helps✨

Answer:

The null hypothesis is  rejected

Therefore there is sufficient evidence to conclude that the professors teaching method favored the male

Step-by-step explanation:

From the question we are told that

   The sample size for each population is  [tex]n_1 = n_2 = n = 10[/tex]

   The  first sample  mean is  [tex]\= x_1 = 82[/tex]

    The  second sample  mean is  [tex]\= x_2 = 74[/tex]

    The  first standard deviation is [tex]\sigma _1 = 4[/tex]  

    The second standard deviation is  [tex]\sigma_2 = 8.0[/tex]

     The  level of significance is  [tex]\alpha = 0.05[/tex]

The  null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The  alternative  hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the standard error is mathematically represented as

           [tex]SE = \sqrt{ \frac{ \sigma_1^2}{n_1} + \frac{ \sigma_2^2}{n_2} }[/tex]

=>        [tex]SE = \sqrt{ \frac{ 4^2}{10} + \frac{ 8^2}{10} }[/tex]

=>        [tex]SE = 2.83[/tex]

Generally the test statistics is mathematically represented as

          [tex]t = \frac{\= x_1 - \= x_2 }{SE}[/tex]

=>        [tex]t = \frac{82 - 74}{2.83}[/tex]

=>        t =  2.83

Generally the p-value  mathematically represented as

        [tex]p-value = 2 P(Z > 2.83)[/tex]

From the z table  

           [tex]P(Z > 2.83) = 0.0023274[/tex]

So

    [tex]p-value = 2 * 0.0023274[/tex]

   [tex]p-value = 0.0047[/tex]

Since  

      [tex]p-value < \alpha[/tex]

Hence the null hypothesis is  rejected

Therefore there is sufficient evidence to conclude that the professors teaching method favored the male

Answer:

The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.

Step-by-step explanation:

Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.

The hunter should use the same radius or width to draw the two arcs, using points P and Q as the center interchangeably, so that they would intersect at an equidistant point to P and Q. The point of intersection lies on the bisecting ray of the angle.