One week into the course, a 27-year-old student is added to Mr. McKee's section roster. How does this change affect the standard deviation of the set of student ages?

Answer:

  C)  25

Step-by-step explanation:

A function is scaled vertically by multiplying every function value by the scale factor. For some scale factor k, the function g(x) = k·f(x) is a vertically scaled version of the function f(x).

Here, we are given ...

  g(x) = 3/5·f(x)

This means the y-intercept is also scaled:

  g(0) = 3/5·f(0)

  f(0) = 5/3·g(0) . . . . . multiply by 5/3

  f(0) = 5/3·15 = 25

The y-intercept of f(x) is 25.

Answer:

[tex]y^{10}-\dfrac{25}{64}x^2[/tex]

Step-by-step explanation:

Given expression:

[tex](\frac58x+y^5)(y^5-\frac58 x)[/tex]

Change the order of the terms in the first parentheses:

[tex]\implies (y^5+\frac58x)(y^5-\frac58 x)[/tex]

Apply the Difference of Two Squares: [tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]\implies (y^5)^2-(\frac58x)^2[/tex]

Apply exponent rule [tex](a^b)^c=a^{b\cdot c}[/tex]

[tex]\implies y^{10}-(\frac58x)^2[/tex]

Apply exponent rule [tex]\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]

[tex]\implies y^{10}-\left(\dfrac{5^2}{8^2}x^2\right)[/tex]

[tex]\implies y^{10}-\dfrac{25}{64}x^2[/tex]

Answer:

x = 5

Step-by-step explanation:

Given:

To Find:

What is the value of x?

Note:

Two angles that add up to give you 90° is a complementary angle.

Thus, Since angle A and angle B sum up to give 90°, they are complementary angles.

Solve:

The following equation can be created to solve for the value of x:

m ∠A + m∠ B

Substitute

40 + 4x + 30 = 90

Add like terms

4x +70 = 90

Subtract 70 from both sides

4x = 90-70

4x = 20

Divide both sides by 4

x = 5

Therefore, the value of x is 5

~Learn with Lenvy~

Answer:

A. North

Step-by-step explanation:

Answer:

(15 1/2 ) divided by 2/5= 38 3/4 miles per hour

The maximum profit is $288, and you should charge $6 per dozen.

Let's assume that demand depends linearly on price, such that we can write:

q = a*p + b

where q is the demand and p is the price.

We have 3 points of that line:

The slope of the line is given by:

[tex]a = \frac{q_2 - q_1}{p_2 - p_1}[/tex]

Where these are values of demand and prize for two different points, if we use the first two points we get:

[tex]a = \frac{72 - 80}{3 - 2} = -8[/tex]

Then the line is something like:

q = -8*p + b

Remember that when p = 2, the demand is equal to 80, replacing that we get:

80 = -8*2 + b

80 + 16 = b = 96.

So the line is:

q = -8*p + b

Profit is given by the product between the demand and the price, so we have.

Profit = p*q = p*(-8*p + 96) = -8p^2 + 96p

We want to maximize that, notice that is a quadratic equation of negative leading coefficient, so the maximum is at the vertex, using the equation for the vertex of a quadratic equation we will see that the maximum is at:

p = -96/(2*-8) = 6

Then the maximum profit is:

profit = -8*(6)^2 + 96*6 = 288

The maximum profit is $288, and you should charge $6 per dozen.

If you want to learn more about linear relations, you can read:

https://brainly.com/question/1884491

Step-by-step explanation:

try this option; for more info see the attachment. New figure is painted with red colour (triangle A'B'C').

Answer:

84.33333333

or rounded...

84.3

or 84 if asked to be rounded to whole

Solution:

We know that:

Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.

Thus, the equation of the line is y = 6.

Answer/Step-by-step explanation:

Given us that;

Passes through the point (4,6)

slope of 0

Note;

The equation of a line has the form:

y - y₁ = m(x - x₁)

Solve;

Now we plug in the coordinates of the given point the line goes through, and solve:

y - 6 = 0(x - 4)

y - 6 = 0

y = 0 + 6

y = 6    

Hence,  equation of the line is y = 6

[RevyBreeze]

Answer:

C

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

Answer:

4x+3y=6

Step-by-step explanation:

hope this helps

Answer: 564 patrons. also omg chiaki pfp so based

[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\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]

Answer:

A. 38% -  19/50
B. 4/5 - 80%
C. 17/25 - 0.68
D. 27/50 - 0.54
E. 0.45 - 45% or 9/20

Step-by-step explanation:

A. 19/50 - 38/100 - 38%
B. 4/5 - (times by 20 (the numerators and denominators)) - 80/100 - 80%
C. 17/25 - (times by 4 (the numerators and denominators)) - 0.68

D. 27/50 - 54/100 - 0.54
E. 0.45 - 45/100 - 9/20 - 45%

Answer:

1 add on both sides

subtract

2

4

4

Answer:H=15.00mm

Step-by-step explanation:

Answer:

Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?

Step-by-step explanation:

In addition to writing new facts for February 29,  you gotta do what you learned and add the houses

Answer:

[A] Acceleration in first 15 min = 200  km/h²

[B] Distance between two cities = 125 km

[C] Average Speed of journey =  62.5  km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities  

Average speed of journey

Solve:

[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                     Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Hence, Answer for [A] = 200  km/h²

[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2  = 62.5  km/hr

[RevyBreeze]

Answer:

[tex]-k^2+7k[/tex]

Step-by-step explanation:

Using the given equations, we must find [tex]C-B[/tex]

Start by substituting the given values into the expression:

[tex]C-B\\k-3-(k^2-6k-3)[/tex]

Now, take the terms out of the parentheses.

[tex]k-3-(k^2)-(-6k)-(-3)\\k-3-k^2+6k+3[/tex]

Please note that two negatives make a positive

[tex]k-3-k^2+6k+3[/tex]

Combine like terms:

[tex]-k^2+7k[/tex]

Answer: Sara's transaction involved more money.

Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.

Answer:

homedogxD: 74 + x + 62 + 55 = 180. So x = -11

Step-by-step explanation:

This is from homedogxD but no one put it as an answer so..................

Answer:

the answer is 224 that's my answer

Answer:

48

Step-by-step explanation:

es el porcentaje de 200 en la calculadora seria 24 x 200/100

Answer:

The answer is 129.

Step-by-step explanation:

If f = 10, we would have to multiply 9 x 10, which is 90.

Add that to 39, and you will get 129.

Hope you can understand this

Answer:

-51

Step-by-step explanation:

Answer:

Fiona can type 26 words per minute.

Step-by-step explanation:

Just divide 78÷3 (78 words divided by the x3), which gives you 26.

Hope it helps!

Answer:

[tex]\displaystyle 18,28 ≈ x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{11} = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]

OR

[tex]\displaystyle \frac{11}{x} = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow \frac{11}{sin\:37} = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.

Since Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:

1/x = 1/20 + 1/25

1/x = 9/100

9x = 100

Divide through by 9

x = 100/9

x = 11.11 minutes

Learn more about equations on:

https://brainly.com/question/1214333

Answer:

a=(x+7)(x+-2)

Step-by-step explanation:

(x+a)(x+b)=x²+(a+b)x+(ab)

Answer:

  a) (x +7)(x -2)

  b) x = -7 or +2

Step-by-step explanation:

A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:

  -14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)

Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...

  x² +5x -14 = (x +7)(x -2)

__

The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.

  x +7 = 0   ⇒   x = -7

  x -2 = 0   ⇒   x = 2

The solutions are x = -7 or x = 2.