Anyone know how to do this? Thanks in advanced

Answer:

[tex]Area=7\,\pi\,\sqrt{\frac{53}{4}}\,\,\frac{25}{2}[/tex]

Step-by-step explanation:

Let's use the integral formula for the surface area of revolution of the function y(x) around the x-axis, which is:

[tex]Area=\int\limits^b_a {2\,\pi\,y\,\sqrt{1+(\frac{dy}{dx} )^2} } \, dx[/tex]

and which in our case, we can obtain the following:

[tex]y=\frac{7}{2} \,x\\\frac{dy}{dx} =\frac{7}{2} \\(\frac{dy}{dx})^2=\frac{49}{4} \\\sqrt{1+(\frac{dy}{dx})^2} =\sqrt{1+\frac{49}{4} } =\sqrt{\frac{53}{4} }[/tex]

Recall as well that [tex]0\leq x\leq 5[/tex], which gives us the limits of integration:

[tex]Area=\int\limits^b_a {2\,\pi\,y\,\sqrt{1+(\frac{dy}{dx} )^2} } \, dx\\Area=\int\limits^5_0 {2\,\pi\,(\frac{7}{2}\,x) \,\sqrt{\frac{53}{4} } } \, dx\\Area=7\,\pi\,\sqrt{\frac{53}{4}}\,\, \int\limits^5_0 {x} \, dx \\Area=7\,\pi\,\sqrt{\frac{53}{4}}\,\,\frac{x^2}{2} |\limits^5_0\\Area=7\,\pi\,\sqrt{\frac{53}{4}}\,\,\frac{25}{2}[/tex]

If we compare it with the geometry formula:

Lateral surface of cone = [tex]\frac{1}{2} \,\,(Base_{circ})\,\,(slant\,height)= \frac{1}{2} (2\,\pi\,\frac{7}{2} 5)\.(\sqrt{5^2+(\frac{35}{2})^2 } =\frac{7}{2} \,\pi\,25\.\,\sqrt{\frac{53}{4} }[/tex]

which is exactly the expression we calculated with the integral.

━━━━━━━☆☆━━━━━━━

▹ Answer

15.75

▹ Step-by-Step Explanation

3 ÷ 4 = .75

15 + .75 = 15.75

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

Given the relationship between the output as related to the experience t to be Q (t) = 300 - A e^-kt.

From the table, at t = 0, Q(t) = 200, substituting this into he equation to get A we have:

200 = 300 - A e^-k(0).

200 = 300 - A e^-0

200 = 300 - A

A = 300-200

A = 100

Secondly we need to get the constant k by substituting the other condition into the equation. When t = 3, Q(t) = 190

190 = 300 - A e^-k(3)

190 = 300 - 100e^-3k

190-300 = -100e^-3k

-110 = -100e^-3k

e^-3k = -110/-100

e^-3k = 1.1

Taking the natural logarithm of both sides we have;

ln(e^-3k) = ln1.1

-3k = 0.09531

k = 0.09531/-3

k = -0.0318

The function of this form that fits the data can be gotten by substituting A = 100 and k = -0.0318 into the modeled equation given as shown:

Q(t) = 300 - A e^-kt

Q(t) = 300 - 100e^-(-0.0318)t

Q(t) = 300 - 100e^0.0318t

Answer:

The significance level for this case would be [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:

[tex] z_{\alpha/2}=1.96[/tex]

The margin of error is given by:

[tex] ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

And replacing we got:

[tex] ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683[/tex]

And the margin of error for this case would be [tex] ME = 0.07[/tex]

Step-by-step explanation:

For this case we have the following dataset given:

[tex] n= 146[/tex] represent the sample size

[tex] \hat p =0.23[/tex] represent the estimated proportion of interest

[tex] Conf=0.95[/tex] represent the confidence level

The significance level for this case would be [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:

[tex] z_{\alpha/2}=1.96[/tex]

The margin of error is given by:

[tex] ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

And replacing we got:

[tex] ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683[/tex]

And the margin of error for this case would be [tex] ME = 0.07[/tex]

Answer:

Hello!

______________________

Peter samples her class by selecting 5 girls and 7 boys. This type of sampling is called?​

This type of sampling is called Stratified.

Hope this helped you!

:D

Answer:

An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.

See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?

July 10 book Science up55 down8

AA BB

CC DD

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Parallel lines are those that have the same slope, or coefficient of x.

Here, let's calculate the slope of the given line. Slope is the difference in the y-coordinates divided by the difference in the x-coordinates, so given the two coordinates (12, 6) and (0, -4):

slope = m = (-4 - 6) / (0 - 12) = -10 / (-12) = 10/12 = 5/6

So the slope is 5/6. That means the equation we want should also have a slope of 5/6. Already, we can eliminate A, B, and C, leaving D as our answer. But, let's check.

The equation of a line can be written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is the coordinates of a given point.

Here, our slope is 5/6 and our given point is (12, -2). So plug these in:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=(5/6)(x-12)[/tex]

[tex]y+2=\frac{5}{6} x-10[/tex]

[tex]y=\frac{5}{6} x-12[/tex]

This matches D, so we know that it's the correct answer.

~ an aesthetics lover

The answer is D I just took the test

Answer:

[tex] P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)[/tex]

And replacing using the mass function we got:

[tex]P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156[/tex]  

[tex]P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211[/tex]  

[tex]P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217[/tex]  

[tex]P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161[/tex]  

[tex]P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759[/tex]  

[tex]P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172[/tex]  

And adding the values we got:

[tex] P(X\geq 20) = 0.8381[/tex]

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

[tex]X \sim Binom(n=25, p=0.85)[/tex]  

The probability mass function for the Binomial distribution is given as:  

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]  

Where (nCx) means combinatory and it's given by this formula:  

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]  

We want to find the following probability:

[tex] P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)[/tex]

And replacing using the mass function we got:

[tex]P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156[/tex]  

[tex]P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211[/tex]  

[tex]P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217[/tex]  

[tex]P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161[/tex]  

[tex]P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759[/tex]  

[tex]P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172[/tex]  

And adding the values we got:

[tex] P(X\geq 20) = 0.8381[/tex]

Answer:

z = 1.476

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.86}{2} = 0.07[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.07 = 0.93[/tex], so [tex]z = 1.476[/tex]

The answer is z = 1.476

Answer:

The two equations that can be used to find each of their ages are [tex]x=4 \times y[/tex] and [tex]x+y=60[/tex] .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

                                     [tex]x=4 \times y[/tex]   ----------------- [equation 1]

                                 [tex]x+y=60[/tex]

                                [tex]4y + y = 60[/tex]     {using equation 1}

                                  [tex]5y=60[/tex]

                                   [tex]y=\frac{60}{5}[/tex]

                                   y = 12 years

Now, putting the value of y in equation 1 we get;

                               [tex]x=4 \times y[/tex]

                               [tex]x= 4 \times 12[/tex] = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

Answer:

Mrs. Lang is 48 and her daughter is 12 years old.

Step-by-step explanation:

Answer:

6x^2 +8x

Step-by-step explanation:

(12x^3 -14x^2 -40x) / (2x-5)

Factor the numerator by factoring out the greatest common factor

2x( 6x^2 -7x-20) / (2x-5)

Factor inside the parentheses

2x (3x+4)(2x-5)/ (2x-5)

Cancel like terms

2x( 3x+4)

Distribute

6x^2 +8x

Answer:

B. 43°

Step-by-step explanation:

Internal angles of the triangle are:

So It is a right triangle and the missing angle is:

Answer:

The answer is B) 43°

Step-by-step explanation:

180° - 133° = 47° (that's one of the angles inside the triangle)

180° - 90° = 90° (the other angle)

Every angle inside a triangle added equals 180°, therefor:

180° - (47° + 90°) = 43°

Answer:

but I can do it if you want but I don't you too too y u your help and you have time can you

Step-by-step explanation:

guy who was it that you are not going to be able to make it to the meeting tonight but I can tomorrow if you have time can you come to my house

==========================================================

Explanation:

We're going to be using the slope formula a bunch of times.

Find the slope of the line through points A and C

m = (y2 - y1)/(x2 - x1)

m = (-12-9)/(9-2)

m = -21/7

m = -3

The slope of line AC is -3. The slopes of line AB and line BC must also be the same for points A,B,C to be collinear. The term collinear means all three points fall on the same straight line.

-------

Let's find the expression for the slope of line AB in terms of k

m = (y2 - y1)/(x2 - x1)

m = (k-9)/(4-2)

m = (k-9)/2

Set this equal to the desired slope -3 and solve for k

(k-9)/2 = -3

k-9 = 2*(-3) ..... multiply both sides by 2

k-9 = -6

k = -6+9 .... add 9 to both sides

k = 3

If k = 3, then B(4,k) updates to B(4,3)

-------

Let's find the slope of the line through A(2,9) and B(4,3)

m = (y2 - y1)/(x2 - x1)

m = (3-9)/(4-2)

m = -6/2

m = -3 we get the proper slope value

Finally let's check to see if line BC also has slope -3

m = (y2 - y1)/(x2 - x1)

m = (-12-3)/(9-4)

m = -15/5

m = -3 we get the same value as well

Since we have found lines AB, BC and AC all have slope -3, we have proven that A,B,C fall on the same straight line. Therefore, this shows A,B,C are collinear.

Answer:

16 km due west

Step-by-step explanation:

The bearing of the school p from school q is 16 km due west.

To find the bearing of school q from school p, we have to find the direction that the school q is with respect to school p.

Since p is directly west of q, then it implies that q must be directly east of p.

We now know the direction.

Since the distance from q to p is exactly the same as the distance from p to q, then, the distance from p to q is 16 km.

Hence, the bearing of q from p is 16 km due west.

The correct answer is A. 440 = [tex]\frac{4}{5}[/tex] x + 80

Explanation:

In mathematics, equations are often used to find an unknown value. Additionally, equations display two mathematical expressions that have an equality relation, and based on this equality the unknown value can be found. Moreover, if you need to write an equation it is important to include all the important values, and understand the relationship between them because this determines the mathematical signs that need to be used.

In the case presented, it is known the total of the calories for the burger and salad is 440. Because of this, the mathematical expression on one side should be 440. Additionally, on the other side, it is necessary to include the calories of the salad (80) plus the calories of the burger. However, because you know Vance ate only 4/5 of the burger and the value of the burger is not known the correct expression for this section is [tex]\frac{4}{5}[/tex] x as x represents the unknown value. Thus, the correct equation is "440 = [tex]\frac{4}{5}[/tex] x + 80"

Answer:

The correct answer is A. 440 = 4/5x + 80

Answer:

33%

Step-by-step explanation:

Answer:

(a)[tex]9z+2=5[/tex]

(b)[tex]21z-11=-4[/tex]

(c)[tex]4z=2-2z[/tex]

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

Equation 1

[tex]z=\frac{1}{3}[/tex]

Multiply both sides by 9

[tex]9z=\frac{1}{3}\times 9\\9z=3[/tex]

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: [tex]9z+2=5[/tex]

Equation 2

[tex]z=\frac{1}{3}[/tex]

Multiply both sides by 21

[tex]21z=\frac{1}{3}\times 21\\21z=7[/tex]

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: [tex]21z-11=-4[/tex]

Equation 3

[tex]z=\frac{1}{3}[/tex]

Multiply both sides by 6

[tex]6z=\frac{1}{3}\times 6\\6z=2[/tex]

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: [tex]4z=2-2z[/tex]

Answer:

[tex]19[/tex]

Step-by-step explanation:

[tex]15+12-5+4-7[/tex]

Add or subtract.

[tex]15+7+-3[/tex]

[tex]15+4[/tex]

[tex]=19[/tex]

Steps to solve:

15 + 12 - 5 + 4 - 7

~Add

27 - 5 + 4 - 7

~Subtract

22 + 4 - 7

~Add

26 - 7

~Subtract

19

Best of Luck!

Answer:

<2 and <6 are complementary angles

Step-by-step explanation:

<2 and <3 are complementary angles since they add to 90

<3 and <6 are vertical angles so they are equal

<3 = <6

Replace <3 with <6

<2 and <6 are complementary angles

Answer:

the answer should be C please give brainliest

Step-by-step explanation:

Answer:  m∠BAC =36.87°

It is given, but maybe difficult to see.

Step-by-step explanation: If you had to calculate it yourself, you need a scientific calculator or a conversion chart. You could figure the sine by dividing the  length of the opposite side, 6 by the length of the hypotenuse, 10. you get sine=0.6  

Then use the calculator or chart to get the angle.

input sin^-1 (0.06)

Answer:

Not really, actually it depends on the shape given whether it's a rectangle, a square etc. Because you can't conclude that the shape of a rectangle with such dimensions could be guaranteed.

The slope greater than one would be the last image, because for every step in x, you get more than one y step.

The slope between 1 and 0 would be the second image

And the slope less than 0 would be the third image

Answer:

Q9 X=42.5

Step-by-step explanation:

let unknown angle be x

cos x=45/61

X=cos^-1 45/61

X=42.463...

X=42.5 (1 decimal place)

Answer:

Fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.

Step-by-step explanation:

The significant level for this case study is 5% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

In this case study, the p-value is 0.10 which is a lot higher than 0.05, thus we will fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.

Answer:

C.

Step-by-step explanation:

When two lines are parallel, their slopes are the same.

Since the slope of line l is 2/7, the slope of its parallel line m must also be 2/7.

The answer is C.

Answer:

C. 2/7

Step-by-step explanation:

Parallel lines are lines that have the same slopes.

We know that line l is parallel to line m.

Therefore, the slope of line l is equal to the slope of line m.

[tex]m_{l} =m_{m}[/tex]

We know that line l has a slope of 2/7.

[tex]\frac{2}{7} =m_{m}[/tex]

So, line m also has a slope of 2/7. The answer is C. 2/7

Answer:

If Andres asks for a random selection of 12 cupcakes, the Probability of choosing:

a)exactly 6 red velvet?

The probability that 6 will be red velvet = 6/12 x 14.3% = 7.2%

(b)exactly 3 each of 4 different kinds?

Since 3 x 4 = 12

The probability that the 12 will be 3 each from 4 different kinds

= 14.3%

(c)no lemon?

Probability of getting a lemon cupcake = 1/7 = 14.3%

Therefore, probability of not getting a lemon cupcake = 100% - 14.3% = 85.7%

(d)at least 1 German chocolate and at least one chocolate raspberry?

The probability of at least 2 being 1 German and 1 chocolate raspberry

= 2/12

= 16.67%

Step-by-step explanation:

a) Probability of each kind of Cupcake

Kind of Cupcakes         Quantity  Probability

chocolate raspberry      12            14.285%

strawberry shortcake    12            14.3%    

red velvet                       12            14.3%

funfetti                            12            14.3%

lemon                             12            14.3%

German chocolate         12            14.3%

chocolate caramel         12            14.3%

b) The probability of choosing a kind of cupcake is the chance that, for example, a strawberry cupcake is chosen instead of the other six kinds.  It expresses the opportunity that an event has in happening out of many other events that could have happened.

Answer:

16

Step-by-step explanation:

The square root of 100 is 10, and the square root of 36 is 6. 10-6 = 4, and 4 squared is 16.

Hope this helped!

Answer:

  16

Step-by-step explanation:

  [tex]\left( \sqrt{100} - \sqrt{36} \right)^2 = (10 -6)^2 = 4^2 = \boxed{16}[/tex]

Answer:

[tex]P(X<0.4375)=P(\frac{X-\mu}{\sigma}<\frac{0.4375-\mu}{\sigma})=P(Z<\frac{0.4375-0.635}{0.082})=P(z<-2.41)[/tex]

And we can find this probability using the z table and we got:

[tex]P(z<-2.41)=0.0080[/tex]

Step-by-step explanation:

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(0.635,0.082)[/tex]  

Where [tex]\mu=0.635[/tex] and [tex]\sigma=0.032[/tex]

We are interested on this probability

[tex]P(X<0.4375)[/tex]

And the best way to solve this problem is using the normal standard distribution and the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(X<0.4375)=P(\frac{X-\mu}{\sigma}<\frac{0.4375-\mu}{\sigma})=P(Z<\frac{0.4375-0.635}{0.082})=P(z<-2.41)[/tex]

And we can find this probability using the z table and we got:

[tex]P(z<-2.41)=0.0080[/tex]