find the difference of 5.95 and 4.7

Answer:

[tex]V=9\pi\sqrt{3}[/tex]

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

[tex]V=\int\limits^b_a {\pi r^{2}} \, dy[/tex]

where:

[tex]r=6-(6-3 sec(y))[/tex]

[tex]r=3 sec(y)[/tex]

a=0

[tex]b=\frac{\pi}{3}[/tex]

so the volume becomes:

[tex]V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy[/tex]

This can be simplified to:

[tex]V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy[/tex]

and the integral can be rewritten like this:

[tex]V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy[/tex]

which is a standard integral so we solve it to:

[tex]V=9\pi[tan y]\limits^\frac{\pi}{3}_0[/tex]

so we get:

[tex]V=9\pi[tan \frac{\pi}{3} - tan 0][/tex]

which yields:

[tex]V=9\pi\sqrt{3}[/tex]]

Answer:

1.)6.68% ; 2)84.13% ; 3)84.13% ; 4)1168 ; 5)1105

Step-by-step explanation:

Given a normal distribution with:

Mean (m) = 1000

Standard deviation (sd) = 200

1) What percentage of the persons who take the test score above 1300?

X = 1300

Zscore = (x - m) / sd

Zscore = (1300 - 1000) / 200 = 300/200 = 1.5

P(z > 1.5) = 1 - p(z < 1.5) ;

From the z distribution table:

p(z < 1.5) = 0.9332 ; 1 - 0.9332 = 0.0668 = 6.68%

2) What percentage score above 800?

X = 800

Zscore = (x - m) / sd

Zscore = (800 - 1000) / 200 = - 200/200 = - 1

P(z > - 1) = 1 - p(z < - 1) ;

From the z distribution table:

p(z < - 1) = 0.1587 ; 1 - 0.1587 = 0.8413 = 84.13%

3) What percentage score below 1200?

X = 1200

Zscore = (x - m) / sd

Zscore = (1200 - 1000) / 200 = 200/200 = 1

p(z < 1)

From the z distribution table:

p(z < 1) = 0.8413 = 84.13%

Above what score do 20% of the test takers score?

P(z > Zscore) = 0.2 = P(z > Zscore) = 1 - 0.2 = 0.8

P(z < Zscore) = 0.8

0.8 is closest to a Zscore of 0.84

From the formula:

Zscore = (x - m) / sd

0.84 = (x - 1000) / 200

168 = x - 1000

x = 168 + 1000 = 1168

Above what score do 30% of the test takers score?

P(z > Zscore) = 0.3 = P(z > Zscore) = 1 - 0.3 = 0.7

P(z < Zscore) = 0.7

0.8 is closest to a Zscore of 0.525

From the formula:

Zscore = (x - m) / sd

0.525 = (x - 1000) / 200

105 = x - 1000

x = 105 + 1000 = 1105

Answer:

for 11 to be an integer, 11 has to be a whole number. Furthermore, for 11 to be an integer, you should be able to write 11 without a fractional or decimal component. 11 is a whole number that can be written without a fractional component, thus 11 is an integer

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-3x(-5)-16

15-16

-1

Answer:

This is false

Step-by-step explanation:

Because we have to understand that some times sample mean may be very high that is they may be practically significant but are not statistically significant because the calculated p-value is not less than alpha value which could only mean that they could occur as a result of mere chance.

Answer:

so just be you

Step-by-step explanation:

A product concept statement, sometimes referred to as just a "concept statement" represents the vision that a business owner and his design team has for a product or service. It describes the product or service, explains its purpose and considers the consumer demographics that the product is market toward.

Answer:

n> −1 and n < 1/3

Step-by-step explanation:

Answer: See below; x=1/6

Step-by-step explanation:

This problem may seem intimidating, but all you need to know are your exponent rules. Let's first work inside the parenthesis. Since the bases are the same, we can directly subtract the exponents.

[tex]\frac{3}{4} -\frac{3}{8}[/tex]                             [common denominator]

[tex]\frac{6}{8} -\frac{3}{8}[/tex]                             [subtract]

[tex]\frac{3}{8}[/tex]

Now, our new answer is [tex](3^\frac{3}{8} )^\frac{4}{9}[/tex].

Unfortunately, the answer is asking for an exponent with a single base. One of the properties is when the exponents are separated by parenthesis, you multiply them together.

[tex]\frac{3}{8} *\frac{4}{9}[/tex]                              [cross cancel to simplify]

[tex]\frac{1}{2} *\frac{1}{3}[/tex]                              [multiply]        

[tex]\frac{1}{6}[/tex]

Our final answer is [tex]3^\frac{1}{6}[/tex].

The value is x is [tex]\frac{1}{6}[/tex] since [tex]3^\frac{1}{6}[/tex] is equal to [tex]3^x[/tex], we know that [tex]x=\frac{1}{6}[/tex].

Answer:

y= 4x

Step-by-step explanation:

2*4=8

3*4=12

4*4=16

5*4=20

6*4=24

7*4=28

Answer:

x = [tex]\frac{36}{7}[/tex]

Step-by-step explanation:

Given

12x - 17 = 5x + 19 ( subtract 5x from both sides )

7x - 17 = 19 ( add 17 to both sides )

7x = 36 ( divide both sides by 7 )

x = [tex]\frac{36}{7}[/tex]

when we divides m(x) ÷n(x) quotient and remainder is

The maximum rate of change of function [tex]f(x,y)=ln(x^2+y^2)[/tex] is  [tex]\frac{\sqrt(2)}{2}[/tex] and the direction is [tex](\frac{-1}{2}, \frac{1}{2})[/tex]

Given data:

To find the maximum rate of change of the function [tex]f(x,y)=ln(x^2+y^2)[/tex] at the point (-2, 2), calculate the gradient vector (∇f) and evaluate it at that point.

The gradient vector is a vector that points in the direction of the steepest ascent of the function and its magnitude represents the rate of change of the function at that point.

To find the gradient vector (∇f), calculate the partial derivatives of f(x, y) with respect to x and y:

[tex]\frac{df}{dx} = \frac{(2x)}{ (x^2 + y^2)}[/tex]

[tex]\frac{df}{dy} = \frac{(2y)}{ (x^2 + y^2)}[/tex]

Evaluating these partial derivatives at the point (-2, 2):

[tex]\frac{df}{dx}_{-2,2}=-1/2[/tex]

[tex]\frac{df}{dy}_{-2,2}=--1/2[/tex]

So, the gradient vector (∇f) at the point (-2, 2) is (∇f) = (-1/2, 1/2).

The maximum rate of change of the function occurs in the direction of the gradient vector (∇f). Therefore, the direction in which the maximum rate of change occurs is in the direction of the vector (-1/2, 1/2).

Note that the magnitude of the gradient vector (∇f) represents the maximum rate of change. In this case, the magnitude of (∇f) is:

|∇f| = [tex](\frac{-1}{2}^2 + \frac{1}{2}^2)[/tex]

= √(1/4 + 1/4)

= √(1/2)

= 1/√(2)

[tex]=\frac{\sqrt(2)}{2}[/tex]

Hence, the maximum rate of change of f(x, y) at the point (-2, 2) is [tex]\frac{\sqrt(2)}{2}[/tex], and it occurs in the direction of the vector [tex](\frac{-1}{2}, \frac{1}{2})[/tex].

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Answer:

$64

Step-by-step explanation:

Otto had x dollars.

He spent 3/4x which equals to $48

Otto had $64 before he bought the game

Answer:

64

Step-by-step explanation:

Answer:

1.368

Step-by-step explanation:

[tex]2ln(x-1)=-2\\\\\text{divide by 2}\\\\ln(x-1)=-1\\\text{take the exponential}\\\\x-1=e^{-1}\\\\\Large \boxed{\sf \bf x = 1+\dfrac{1}{e}}[/tex]

Thanks

Answer:

Sample  1 : independent

Sample  2 :   dependent

Step-by-step explanation:

From the question we are told that

   The  given date is  

                   Sample 1: Pre-training blood pressure of 17 people

                    Sample 2: Post-training blood pressure of 17 people

Now  Sample 1 is independent because  the Pre-training blood pressure of 17 people does not depend of Post-training blood pressure of 17 people

While  

        Sample 2  is  dependent because the Post-training blood pressure of 17 people is  dependent on the Pre-training blood pressure of 17 people

Answer:

The first blank is 81[tex]x^{2}[/tex]+9=x-1

The second blank is 9x+3=x^2-1

Step-by-step explanation:

For the first part, you must set up the equation (9x+3)^2       then you must multiply the exponent to the inside exponents [tex]9^{2} x^{2}[/tex]+[tex]3^{2}[/tex] next, simplify.

81[tex]x^{2}[/tex]+9=x-1

For part two, set up equation. [tex]x^{2} -1^{2}[/tex] Then simplify 9x+3= [tex]x^{2} -1[/tex]

9x + 3 = x - 1

Squaring the left side and simplifying results in​ 81x² + 53x + 10 = 0.

Squaring the right side and simplifying results in x² - 11x - 2 = 0.

Given,

9x + 3 = x -1

We need to square on the left side and right side separately and find the results.

(A + B)² = A² + 2AB + B²

(A - B)² = A² - 2AB + B²

We have,

9x + 3 = x - 1

Squaring the left side.

( 9x + 3)² = x - 1

(9x)² + 2 x (9x) x 3 + 3² = x - 1

81x² + 54x + 9 = x - 1

81x² + 54x - x + 9 + 1 = 0

81x² + 53x + 10 = 0

Now,

9x + 3 = x - 1

Squaring right side

9x + 3 = ( x - 1 ) ²

9x + 3 = x² - 2 x (x) x 1 + 1²

9x + 3 = x² -2x + 1

x² - 2x - 9x + 1 - 3 = 0

x² - 11x - 2 = 0

Thus the results after simplifying 9x + 3 = x - 1 are

Squaring on the left sides:

81x² + 53x + 10 = 0

Squaring on the right sides:

x² - 11x - 2 = 0

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Correlation is a quantitative measure of the strength of a non-linear association between two variables.

Statement B is false because the r value measures the linear association between two variables. In other words, it tells us how good a linear fit we have with a scatterplot of data. So this is why statement A is true.

As r gets closer to +1, then we have a stronger positive linear correlation. If r = 1 exactly, then all points fall on the same straight line with positive slope (the slope isn't necessarily m = 1). Conversely, if r = -1, then the points fall on the same straight line with negative slope (not necessarily m = -1). As r gets closer to r = 0, the strength of the linear relationship weakens. All of this points to statements A, C, and D to be true statements.

Answer:

Correlation is a quantitative measure of the strength of a non-linear association between two variables.

Step-by-step explanation:

Correlation specifically measures the strength and direction of a linear association between two variables.  So we can't use it for all variables or for non-linear associations.

distribute the [tex]7[/tex] and [tex]5[/tex]:

[tex]7(4+t)-5(t+1)=\\28+7t -5t -5[/tex](collect like-terms)

[tex]28-5 +7t-5t=\\23+2t[/tex]

[tex]23+2t[/tex] or [tex]2t+23[/tex] is your answer. hope this helps <3

Answer:

5

Step-by-step explanation:

Remember:

Two negatives make a positive

A negative flips a sign

2 - (-4) + 3 + (-6) - (-2)

=

2+4+3-6+2

9-6+2

=5

Answer:

18 on the left 29 on the right

Step-by-step explanation:

LEFT SIDE

There is one row of 10 cubes and one row of 8 cubes making 18

RIGHT SIDE

There are two rows of 10 cubes and 1 row of 9 cubes making 29

Answer:

n=-37

Step-by-step explanation:

9+n/4 = -7

First, we multiply each side by 4:

9+n= -28

Subtract 9 from both sides

n= -37

Hope this helps!!!

Answer:

n=8

Step-by-step explanation:

[tex]-9+\frac{n}{4}=-7\\ \frac{n}{4}=-7+9\\\frac{n}{4}=2\\ n=4*2\\n=8[/tex]

Answer:

48 mL 5% vinegar, 192 mL 15% vinegar

Step-by-step explanation:

If x is volume of 5% vinegar, and y is volume of 15% vinegar, then:

x + y = 240

0.05 x + 0.15 y = 0.13 (240)

Solve with substitution:

0.05 x + 0.15 (240 − x) = 0.13 (240)

0.05 x + 36 − 0.15 x = 31.2

0.10 x = 4.8

x = 48

y = 192

Answer:

x+5x=84

6x=84

6x/6=84/6

x=14

so therefore

14+5(14)

14+70

The numbers are 14 and 70

The two parts are x = 70 and y = 14

We have a 2 - digit number -  84.

We have to split it into two parts such that one part is five times the other part.

Assume the two numbers to be x and y.

x + y = 24

A/Q -

y  = 3x

x + 3x =24

4x = 24

x = 6

and y = 3 x 6 = 18.

According to question, we have -

Number = 84

Assume the first part be x.

Then, the other part = [tex]\frac{x}{5}[/tex]

Therefore -

x + [tex]\frac{x}{5}[/tex] = 84

5x + x = 84 x 5

6x = 420

x = 70

and

y = [tex]\frac{x}{5} =\frac{70}{5}[/tex] = 14

Hence, the two parts are x = 70 and y = 14

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Answer:

21,31

Step-by-step explanation:

Hi, Get in touch . I will help you out with this and future assignments. kyalovincent6 .use geemail

Answer:

I've pretty much already solved this, in my discussion above:

| 3 | = 3

| –3 | = 3

So then x must be equal to 3 or equal to –3.

But how am I supposed to solve this if I don't already know the answer? I will use the positive / negative property of the absolute value to split the equation into two cases, and I will use the fact that the "minus" sign in the negative case indicates "the opposite sign", not "a negative number".

For example, if I have x = –6, then "–x " indicates "the opposite of x" or, in this case, –(–6) = +6, a positive number. The "minus" sign in "–x" just indicates that I am changing the sign on x. It does not indicate a negative number. This distinction is crucial!

Whatever the value of x might be, taking the absolute value of x makes it positive. Since x might originally have been positive and might originally have been negative, I must acknowledge this fact when I remove the absolute-value bars. I do this by splitting the equation into two cases. For this exercise, these cases are as follows:

a. If the value of x was non-negative (that is, if it was positive or zero) to start with, then I can bring that value out of the absolute-value bars without changing its sign, giving me the equation x = 3.

b. If the value of x was negative to start with, then I can bring that value out of the absolute-value bars by changing the sign on x, giving me the equation –x = 3, which solves as x = –3.

Then my solution

Answer:

7 and [tex]\frac{16}{5}[/tex]

Step-by-step explanation:

(a)

Δ ABC and Δ ADE are similar thus the ratios of corresponding sides are equal

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{AC}{AE}[/tex] , substitute values

[tex]\frac{2}{4}[/tex] = [tex]\frac{x}{x+7}[/tex] ( cross- multiply )

4x = 2(x + 7) ← distribute

4x = 2x + 14 ( subtract 2x from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

---------------------------------------------

(b)

Δ ABC and Δ CDF are similar thus ratios of corresponding sides are equal

[tex]\frac{AB}{CD}[/tex] = [tex]\frac{BC}{DF}[/tex] , substitute values

[tex]\frac{2}{5}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )

5x = 16 ( divide both sides by 5 )

x = [tex]\frac{16}{5}[/tex]

Answer:  68 ft

Step-by-step explanation:

Use Pythagorean Theorem: x² + y² = d²

51² + h² = 85²

        h² = 85² - 51²

        h² = 4624

        [tex]h=\sqrt{4624}[/tex]

        h = 68

Step-by-step explanation:

the line QP is a part of the line PR and PN

Answer:

He was correct

Step-by-step explanation:

100÷ 19.678= 5

5 meters for seconds

Answer: r=2

Step-by-step explanation:

We can use the given 2 points to find slope. Since we are given the slope, we can plug it into the formula and solve for r.

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =2[/tex]                                        [plug in values]

[tex]\frac{12-r}{-6-(-11)} =2[/tex]                                   [combine like terms]

[tex]\frac{12-r}{5} =2[/tex]                                          [multiply both sides by 5]

[tex]12-r=10[/tex]                                      [subtract both sides by 12]

[tex]-r=-2[/tex]                                          [divide both sides by -1]

[tex]r=2[/tex]

Answer:

E

Step-by-step explanation:

\sqrt 6 is an irrational number, as it cannot be written as the ratio of 2 numbers.

It is also a real number, as it does not include the square root of a negative number.

Therefore, E is the correct option.