HELP IF U CAN ILL GIVE BRAINLIESt AND 20 POINTS SHOW UR WORKK!!!!

Solution:

Given;

The z-score is calculated using;

Thus;

(b) The z-score of 99.7 probability is between -3 and 3. Thus;

ANSWER: Approximately 99.7% of men have cranial capacities between 560 cc and 1760 cc

The equation in the slope-intercept form will be y = (-2/5)x + 4.4.

So, point is (-20, 4) and line is 2x + 5y = 10, then the equation will be:

Now, solve for b as follows while inserting the values of x and y:

So, equation will be y = (-2/5)x + 4.4

Therefore, the equation in the slope-intercept form will be y = (-2/5)x + 4.4.

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The correct pairs of the functions and their inverses are given by the image at the end of the answer.

To find the inverse function, we exchange x and y in the original function, then isolate y.

The first function that we want to find the inverse is:

f(x) = (2x - 1)/(x + 2).

Hence:

x = (2y - 1)/(y + 2)

(y + 2)x = 2y - 1

xy + 2x = 2y - 1

xy - 2y = -1 - 2x

y(x - 2) = -1 - 2x

y = (-1 - 2x)/(x - 2) (which is the inverse function).

The second function which we want to find the inverse is:

y = (x + 2)/(-2x + 1)

Then:

x = (y + 2)/(-2y + 1)

x(-2y + 1) = y + 2

-2yx + x = y + 2

-2yx - y = 2 - x

-y(2x + 1) = 2 - x

y = (x - 2)/(2x + 1)  (which is the inverse function).

The third function which we want to find the inverse is:

y = (x - 1)/(2x + 1)

Then:

x = (y - 1)/(2y + 1)

2yx + x = y - 1

2yx - y = -1 - x

y(2x - 1) = -1 - x

y = (-x - 1)/(2x - 1) (which is the inverse function).

The fourth function which we want to find the inverse is:

y = (2x + 1)/(2x - 1)

Then:

x = (2y + 1)(2y - 1)

2yx - x = 2y + 1

2yx - 2y = 1 + x

2y(x - 1) = (1 + x)

y = (x + 1)/(2(x - 1)) (which is the inverse function).

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The numerical value of 4.9 in the equation of the regression line

[y = (4.9x - 198)] determines "for every unit change in height, walking speed increases by 4.9 m/min" since, "x" represents the height and "y" is the predicted walking speed.

As per the question statement, the equation of the regression line goes as [y = (4.9x - 198)], where "x" represents the height and "y" is the predicted walking speed.

We are required to determine, what the numerical value of 4.9 expresses in the regression line.

To solve this question, first we need to know about the formula to express the point-slope form of a line, which goes as, [(y - y₁) = m(x - x₁)], where (x₁, y₁) is a point through which the line passes, and "m" is the slope of the line, and compare this standard form to our question mentioned equation, to establish the numerical significance of 4.9.

Now, [y = (4.9x - 198)] can be written as [(y - 0) = 4.9(x - 40.41)], and comparing it to the standard point-slope form of a line, we get (m = 4.9), i.e., the slope of our concerned line of regression is 4.9.

Hence, 4.9 in 4.9x signifies "for every unit change in height, walking speed increases by 4.9 m/min" since, "x" represents the height and "y" is the predicted walking speed.

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Answer:

For every 1 inch increase in height, walking speed increases by 4.9 m/min.

Step-by-step explanation:

Just took it, hope this helps.

The derivative of the given function [g(r) = -2r + 2] is d/dr (rⁿ) = nrⁿ⁻¹.

So, g(r) = -2r + 2:

Differentiate with respect to r as follows:

Using Power rule:

Therefore, the derivative of the given function is d/dr (rⁿ) = nrⁿ⁻¹.

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Answer:

$0.14 per kg

Step-by-step explanation:

A 18-kg bag of cherries for $2.65

for 1 kg

[tex] \frac{2.65}{18} = 0.14 \\ [/tex]

so, the answer is $0.14

Based on the dimensions of the right triangle, the equation to be used to find the missing lengths is hypotenuse² = Known leg² + Unknown leg².

To find the missing length of a right-angled triangle, you should use Pythagoras theorem.

This theorem allows you to find the dimensions of missing leg as:

hypotenuse² = Known leg² + Unknown leg²

When you solve for the missing length, the length is:

9² = 6² + Unknown leg²

81 = 36 + Unknown leg²

Unknown leg² = 81 - 36

Unknown leg = √(81 - 36)

Unknown leg = 6.7

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To check if an ordered pair is a solution to an equation, substitute the value for each coordinate into the equation.

Since the substitution has to be performed in alphabetical order, then the coordinates are given in the form:

Substitute r=-6 and s=-2 into the given equation to check if (-6,-2) is a solution:

Since -4 is NOT equal to 4, then the point (-6,-2) is not a solution to the equation r-s=4.

The solution to 1/4(n - 6) = 1/4n - 3/2 is infinite many solutions

The equation is given as

1/4(n - 6) = 1/4n - 3/2

Multiply through the fraction equation by 4

So, we have the following equation

4 x 1/4(n - 6) = 4 x 1/4n - 4 x 3/2

Evaluate the products in the equation

So, we have the following equation

n - 6 = n - 6

Evaluate the like terms

0 = 0

The equation cannot be solved further

If the solution to an equation is 0 = 0, then the equation has infinite many solutions

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Answer: infinite many answers

Step-by-step explanation:

Solution

For this case we have the following information given:

A= 1000

r= 0.06

n = 1

A= 2100

So we can set up the following formula:

We can solve for t on this way:

Solving for t we got:

Rounded to the nesrest tenth we got:

12.7 years

In a case whereby Tammy has 4 more then five times the amount of dimes than nickels in her pocket and have total of $1.50 in her pocket the equation that could be used to determine the number of nickels(x) she has in her pocket is (0.05)(X+3) = 1.50.

The  number of nickels(x) that can be found her pocket be determined by  adding the the number of times the amount of dimes is than nickels, which can be expressed as :

let x will be number of dimes

let x+4 will be number of nickels

Therefore the number of nickels(x)  that is required will be (0.10)X + (0.05)(X+3) = 1.50

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Answer:

Step-by-step explanation:

The value of 8 in 8.260 is 8 units.

Answer:

D. infinite

Step-by-step explanation:

2(x+4) -1 = 2x + 7

To solve for x

Distribute

2x+8 -1 = 2x+7

Combine like terms

2x +7 = 2x + 7

Subtract 2x from each side

2x+7-2x = 2x+7-2x

7 = 7

This is always true, so there are infinite solutions

Answer:

3

because 3 divided by one is 3 so then you would have to divide with nine which we know is 3

Step-by-step explanation:

Have a great day!

The plane containing point B and parallel to the plane CDH is plane ABF.

As, from the diagram we can see that there are two plane passing from point B; plane ABF and ABC.

But plane ABC is intersecting the given plane CDH, while plane ABF is not.

Thus, plane ABF is parallel to the plane CDH.

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When two or more fractions are provided, the least common denominator is defined as the smallest common multiple of all the common multiples of the denominators.

Let's assume we have to add the fractions: (2/9)+(3/4)

We need to determine a common integer that is a multiple of both denominators, which are 9 and 4.

This common multiple will aid in the solution of the problem. As a result, the least frequent multiple for 9 and 4 is 36. As a result, the expression can be written as follows:

(2/9)+(3/4) = (2/9 × 4/4) + (3/4 × 9/9) = (8/36) + (27/36) = 35/36

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To convert 2.21 x 10⁻⁶, place 6 zeros before 2.21 and move the decimal point to the left:

= 0.000021210

To convert 28,000 to scientific notation, write the non-zero digits, placing a decimal after the first non-zero digit: 2.8, then, multiply by 10 elevated to 4 (number of digits after 2):

28,000 = 2.8 x 10

nswer:

SOLUTION:

Case: Pythagoras Triple

Method:

The Pythagorean triple:

(8, 15, 17) can be formed with factor integers

8----> 4

15---->3.

Final answer:

x=4, y= 3

It is proved that ∠2 and ∠3 are supplementary angles.

So, according to the given image below:

(A) m∠1 = m∠3 ⇒ Alternate angles.

(B) m∠1 + m∠2 = 180°

Reason:

(C) m∠3 + m∠2 = 180° due to: Linear Pair Axiom.

(D) m∠2 and m∠3 are supplementary because: Since a linear pair of angles always results in a straight line, their sum is always 180°.

Therefore, it is proved that ∠2 and ∠3 are supplementary angles.

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The result of the synthetic division of 2x^4 - 12x³ + 18x² - 13x + 20 by x - 4 is given by:

2x³ - 4x² + 2x - 5.

For this problem, the polynomial is given by:

2x^4 - 12x³ + 18x² - 13x + 20.

Hence the coefficients are:

2, -12, 18, -13, 20.

The divisor is:

x - 4.

Hence the left coefficient is:

4.

From the image at the end of the answer, the resulting coefficients are given as follows:

2, -4, 2, -5, with a remainder of 0.

Hence the result is:

2x³ - 4x² + 2x - 5.

For the procedure, we consider that the coefficient 2, the first of the polynomial, is moved down, then multiplied with 4 and added with the next coefficient(-12), and this procedure happens until the last coefficient.

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The sequence 64, 16, 4,. is geometric

Arithmetic Sequence can simply be defined as a sequence in which the difference between successive or consecutive terms is known as a constant.

The sequence is in the form a, a + d, a + 2d, a + 3d, a + 4d

Where;

The formula for the nth term of an arithmetic sequence is expressed as;

Tn = a + (n – 1)d

Geometric sequence can simply be defined as a sequence where the ratio of every two consecutive or successive terms is a known constant.

Given the sequence;

64, 16, 4, ...

We can see that the common ratio between the terms is 4 and hence a geometric sequence

Hence, it is a geometric sequence

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[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=-1\\ k=9 \end{cases}\implies y=a(~~x(-1)~~)^2 +9\implies y=a(x+1)^2 + 9 \\\\\\ \textit{we also know that} \begin{cases} x=-2\\ y=-8 \end{cases}\implies -8=a(-2+1)^2 + 9 \\\\\\ -17=a(-1)^2\implies -17=a\hspace{9em}\boxed{y=-17(x+1)^2 + 9}[/tex]

With the help of the quotient, we know that the time the water balloon dropped from the rooftop is 1.3sec.

So, h(t) = 24:

Then, calculate as follows:

Therefore, with the help of the quotient, we know that the time the water balloon dropped from the rooftop is 1.3sec.

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The solution to the equation, −112 = 8x, is: x = -14.

To find the value of the variable in an equation, means to solve the equation.

To solve any given equation, we are to apply all necessary properties of equality in other to isolate, as much as possible, the variable of the equation to one side of the equation. Th value of the variable is the solution to the equation.

Given the equation:

-112 = 8x

Divide both sides of the equation by 8:

-112/8 = 8x/8 [division property of equality]

-14 = x

x = -14

Check: Plug in x = -14 into the equation:

-112 = 8(-14)

-112 = -112 [true]

Thus, the solution to -112 = 8x is: x = -14.

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Based on the relationship between the number of phone calls that Amy received for the three evenings, the number of phone calls received on each evening was:

The first evening saw Amy receiving 7 more calls than the second evening while the third evening saw Amy receiving 3 times as many calls as the second evening.

Assuming the second evening is x, the relationship can be represented by the equation:

First evening calls + Second evening calls + Third evening calls = Total number of calls

(7 + x) + x + 3x = 112

Solving for the number of phone calls on the second evening gives:

(7 + x) + x + 3x = 112

7 +  x + x + 3x = 112

7 + 5x = 112

5x = 112 - 7

x = 105 /5

= 21 calls

Number of calls on first evening:

= 21 + 7

= 28 calls

Number of calls on third evening:

= 21 x 3

= 63 calls

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[tex]21+a=90 \implies a=69^{\circ} [/tex]

This is because the angles are complementary.

Given: The velocity function of a moving particle as

To Determine: The time at which the acceleration equals to zero

Solution

Note that at time t=0, the particle is at origin, so

Determine the acceleration function

The acceleration of a particle is the rate of change of velocity or the derivative of the velocity function. Therefore,

When the acceleration is equal to zero, then we have

Let us plot the graph of the acceleration function

The time for given interval for which the acceleration is zero are

ence, thre first time the acceleration is zero is π/2 or 1.571

We will employ the z score table in this problem.

The shaded part is our area of interest.We will be required to seek the value of the z score at 0.11.

when we ahave a probability of 0.11 or 11%

This corresponds with a z-score of -1.225.

We then substitute into our z-score equation:

where

Therefore, we have