A sample data set has a mean of 122.3 and a standard deviation of 18.5. Convert a score of 168.4 to a z score and determine if the score is “usual” or “unusual.”

Answer:

# The growth value of the function is 1/3 ⇒ 2nd

# f(x) shows exponential decay ⇒ 3rd

# The function is a stretched of the function [tex]f(x)=(\frac{1}{3}) ^{x}[/tex] ⇒ 4th

Step-by-step explanation:

* Lets explain the exponential function

- The form of the exponential function is f(x) = a b^x, where a ≠ 0,

  b > 0 , b ≠ 1, and x is any real number

- a is the initial value of f(x) ⇒ (when x = 0)

- b is the growth factor

- The exponent is x

- If the growth factor (b) is in between 1 and 0 then it is exponential

 decay

* Lets solve the problem

∵ [tex]f(x)=3(\frac{1}{3})^{x}[/tex]

- Lets find the initial value

∵ At the initial position x = 0

∴ [tex]f(0)=3(\frac{1}{3})^{0}=3(1)=3[/tex]

* The initial of f(x) is 3

∵ b = 1/3

∵ b is the growth factor of the function

* The growth value of the function is 1/3

∵ b = 1/3

∵ 0 < b < 1

∴ The function is exponential decay

* f(x) shows exponential decay

- A vertical stretching is the stretching of the graph away from the x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

∵ [tex]f(x)=(\frac{1}{3})^{x}[/tex]

∵ Its parent function is [tex]f(x)=3(\frac{1}{3})^{x}[/tex]

∴ k = 3

∵ k > 1

∴ the function is stretched vertically

* The function is a stretched of the function [tex]f(x)=(\frac{1}{3})^{x}[/tex]

∴ The true statements are:

# The growth value of the function is 1/3

# f(x) shows exponential decay

# The function is a stretched of the function [tex]f(x)=(\frac{1}{3})^{x}[/tex]

Answer:

- 2, 64, 0

Step-by-step explanation:

f(- 3) ← x < 0 ⇒ f(- 3) = - 3 + 1 = - 2

f(8) ← x > 0 ⇒ f(8) = 8² = 64

f(0) → x = 0

f(0) = 0² = 0

Answer:

A. [tex]y\le2x^2-8x+3[/tex]

Step-by-step explanation:

The given parabola has vertex at (2,-5).

The equation of this parabola in vertex form is given by:

[tex]y=a(x-h)^2+k[/tex], where (h,k)=(2,-5) is the vertex  of the parabola.

We substitute the values to get:

[tex]y=a(x-2)^2-5[/tex]

The graph passes through; (0,3).

[tex]3=a(0-2)^2-5[/tex]

[tex]\implies 3+5=4a[/tex]

[tex]\implies 8=4a[/tex]

[tex]\implies a=2[/tex]

Hence the equation of the parabola is

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

We expand this to get:

[tex]y=2x^2-8x+8-5[/tex]

[tex]y=2x^2-8x+3[/tex]

Since the outward region was shaded, the corresponding inequality is

[tex]y\le2x^2-8x+3[/tex]

The correct answer is A

Answer:

The answer is C. Angle with greatest measure

Step-by-step explanation:

In any triangle, there are two property that they always fulfill:

A classical example is in a right triangle: We know that the hypotenuse is the longest side, and also we know that the greatest angle is the right angle.

I have attached an image that shows the properties of the triangles.

Finally, the answer is C. Angle with the greatest measure.

Answer:

Angle with the greatest measure.

Step-by-step explanation:

Answer:

-3 degrees at 8 pm.

Step-by-step explanation:

That would be  12 - 15

= -3 degrees.

Answer:

-3

Step-by-step explanation:

The answer would be -3, because if it were to go down 15 degrees from when it was 2 PM. The equation you would have to do is 12 - 15. Which answsering that would be -3

Answer:

a number subtracted by four equals twelve and five tenths

Step-by-step explanation:

Y=3x+8

Step-by-step explanation:

The slope is 3

Slope Intercept form is Y=Mx=b

We want to write the given equation in the form y = mx + b.

y-5 = 3(x+1)

y - 5 = 3x + 3

y = 3x + 3 + 5

y = 3x + 8

Done!

For this case we have the following expressions:

[tex]x \leq-2\\x \geq0[/tex]

So:

[tex]x \leq-2[/tex] Indicates all values less than or equal to -2.

That is, from -∞ to -2.

[tex]x \geq0[/tex] Indicates all values greater than or equal to 0.

That is, from 0 to ∞.

The "or" means that they do not intersect. So, the correct graph is option A.

Answer:

Option A

Answer:

Option A

Step-by-step explanation:

Edg 2020

Replace f(x) with y:

y = 5x-6

Swith the variables:

x = 5y -6

Now solve for y:

add 6 to each side:

x +6 = 5y

Divide both sides by 5:

y = (x+6)/5

Now replace y with the inverse function f^-1 (x):

f^-1(x) = (x+6)/5

Answer:

See below attachment

Step-by-step explanation:

A p E x

[tex]\bf \sqrt{18}~~ \begin{cases} 18=&2\cdot 3\cdot 3\\ &2\cdot 3^2 \end{cases}\implies \sqrt{2\cdot 3^2}\implies 3\sqrt{2}[/tex]

Answer:

C. 3√2

Step-by-step explanation:

√18

= √(9 x 2)

= √9 x √2

= 3√2

Answer:

15 ft

Step-by-step explanation:

Use Pythagorean Thm. If I have two sides:

Then I do this to find the third:

If looking for leg, do sqrt(big square - small square)

If looking for hyp, do sqrt(leg square+leg square)

So what this means since x is a leg, I'm going to do sqrt(17^2-8^2)

17 was bigger than 8 that's why it went first

Anyways now we can just whip out the calculator

sqrt(17^2-8^2)=15

Since this is a right triangle you may use Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex]

a and b are the legs (two sides that FORM the right angle) of the right triangle while c is the hypotenuse (the side that is opposite the right angle)

In this case...

a = x

b = 8

c = 17

Plug these numbers into the formula and solve for x

[tex]x^{2} +8^{2} =17^{2}[/tex]

[tex]x^{2}[/tex] + 64 = 289

[tex]x^{2}[/tex] + (64 - 64) = 289 - 64

[tex]x^{2}[/tex] = 225

To remove the squared from the x take the square root of both sides

x = 15

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]f^{-1}(x)=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

Step-by-step explanation:

we have

[tex]5y+4=(x+3)^{2}+\frac{1}{2}[/tex]

Exchange x for y and y for x

[tex]5x+4=(y+3)^{2}+\frac{1}{2}[/tex]

Isolate the variable y

[tex]5x+4-\frac{1}{2}=(y+3)^{2}[/tex]

[tex]5x+\frac{7}{2}=(y+3)^{2}[/tex]

[tex]\frac{10x+7}{2}=(y+3)^{2}[/tex]

Take square root both sides

[tex](y+3)=(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

[tex]y=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

Let

[tex]f^{-1}(x)=y[/tex]

[tex]f^{-1}(x)=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

ANSWER

[tex]x = 1.6[/tex]

EXPLANATION

The given equation is:

[tex] - 0.5x - 2 = 2x - 1 - 6[/tex]

Group similar terms to obtain:

[tex] - 0.5x - 2x = - 5 - 1 + 2[/tex]

Simplify similar terms,

[tex] - 2.5x = - 4[/tex]

Divide both sides by -2.5

[tex]x = \frac{ - 4}{ - 2.5} [/tex]

[tex]x = 1.6[/tex]

Answer: see table completed.

Step-by-step explanation:

Hope this helps.

Answer:

D) x = 40.5

Step-by-step explanation:

When parallel lines create a smaller triangle inside a larger triangle, the triangles are similar. Triangle similarity means that side lengths are proportional, meaning to find x we must use dimensions of the smaller triangle to create a proportion.

The left side of the larger triangle is 12 + 15, so it is 27.

The left side of the smaller triangle is 12.

So, part of the proportion will be [tex]\frac{27}{12}[/tex]

The bottom side of the larger triangle is x.

The bottom side of the smaller triangle is 18.

So, part of the proportion will be [tex]\frac{x}{18}[/tex]

The full proportion will be:

[tex]\frac{27}{12}=\frac{x}{18}[/tex]

Cross multiply and solve for x.

27(18) = 12x

486 = 12x

40.5 = x

Final answer:

To calculate the perimeter of a square with a side length of 5/7 units, multiply the side length by 4 since all sides of a square are equal. The perimeter is 20/7 units.

Explanation:

The question asks, "What is the perimeter of a square with a side length of 5/7 units?" To find the perimeter of a square, we use the formula P = 4a, where P represents the perimeter and a is the length of one side of the square. Since all sides of a square are equal in length, if the side length is 5/7 units, the perimeter would be 4 times 5/7 units.

Performing the multiplication:

P = 4 × (5/7) units

P = (4 × 5) / 7 units

P = 20/7 units

Therefore, the perimeter of the square is 20/7 units.

Answer:

1 * 5 = 5cm

3 * 5 = 15cm

2 * 5 = 10cm

Step-by-step explanation:

1+3+2 = 6

then do 30 / 6  = 5 to find one part of the ratio

1 * 5 = 5

3 * 5 = 15

2 * 5 = 10

Answer:  The lengths of the sides of the triangle are:

____________________________________

                     " 5 cm, 15 cm, and 10 cm " .

____________________________________

Step-by-step explanation:

____________________________________

1x + 3x + 2x = 30 ;  

In which the sides are:

1x ;  3x,  2x ;  

Find:  1x  ; 3x;  and 2x .

____________________________________

Let us begin by finding "x" :

____________________________________

1x + 3x + 2x = 30

1x + 3x + 2x = 6x ;  

→  6x  =   30  ;

Divide each side of the equation by:  " 6 " ;

     to isolate "x" on each side of the equation; and to solve for "x" ;

 →  6x / 6  = 30 / 6 ;

to get:

 →   x  =  5  ;

______________________________________

Now, solve for the length of each side;

______________________________________

 1x  =     x   =   5 cm ;

 3x =  (3*5) = 15 cm ;

 2x  =  (2*5) =  10 cm ;

______________________________________

Answer:  The lengths of the sides of the triangle are:

                     5 cm, 15 cm, and 10 cm .

_______________________________________

Hope this helps!

       Best wishes to you in your academic pursuits

              — and within the "Brainly" community!

_______________________________________

You are told Y is the number of large vehicles washed and that there were 50 large vehicles.

Replace Y with 50 in the given equation to solve for x ( the number of small cars.

5x + 10(50) = 800

5x + 500 = 800

Subtract 500 from both sides:

5x = 300

Divide both sides by 5:

x = 300/5

x = 60

There were 60 small cars washed.

Answer:

yes the answer would be B  ✌

Answer:

−x^2+7x−5

Step-by-step explanation:

---- times this by 1 (3x^2+4x−3) −(4x^2-3x+2) ---- times this by - 1

3x^2+4x−3−4x^2+3x−2

3x^2+4x−3−4x^2+3x−2 - collect like terms

(3x^2+−4x^2)+(4x+3x)+(−3+−2) - solve it

(3x^2+−4x^2)= −x^2

(4x+3x) = 7x

(−3+−2) = −5

−x^2 + 7x−5

On simplifying the given equation  [tex](3x^2+4x-3)-(4x^2-3x+2)[/tex] we get [tex]-x^2+7x-5[/tex]

Given: [tex](3x^2+4x-3)-(4x^2-3x+2)[/tex]

To find: simplify

We have been given an equation and for solving it we first need to open the parenthesis

[tex]3x^2+4x-3-4x^2+3x-2[/tex]

Now we will group terms on which addition or subtraction can be performed

[tex]3x^2-4x^2 +4x+3x-3-2\\= -x^2+7x-5[/tex]

Hello There!

The Answer Would Be 0.25

This is because you have to multiply your original number 5.8 by 0.25 to get the new dilation.

The scale factor is 0.25

Answer:

6F

Step-by-step explanation:

Let x be the temperature at noon

dropping means we subtract

The temperature at 9 pm was -4.  That goes on the right hand side of the equals

x-10 = -4

Add 10 to each side

x-10+10 = -4+10

x = 6

The temperature at noon was 6 F

There are 188 legs in all

Let's solve this problem step by step:

1. First of all, there are 4 unicorns enjoying themselves playing in the forest, they are: Stardust, Umo, Windthorn and Highflyer are enjoying themselves playing in the forest. Each unicorn has 4 legs, so:

[tex]4 \ unicorns \times 4 \ legs=\boxed{16 \ legs}[/tex]

2. The unicorns notice 8 spiders in the tree, so each spider has 8 legs. Accordingly:

[tex]8 \ spider \times 8 \ legs=\boxed{64 \ legs}[/tex]

3. There are 5 cockroaches, so each cockroach has 6 legs. Accordingly:

[tex]5 \ cockroaches \times 6 \ legs=\boxed{30 \ legs}[/tex]

4. There are 7 bees, so each bee has 6 legs. Accordingly:

[tex]7 \ bees \times 6 \ legs=\boxed{42 \ legs}[/tex]

5. There are 3 deer, so each deer has 4 legs. Accordingly:

[tex]3 \ deers \times 4 \ legs=\boxed{12 \ legs}[/tex]

6. There are 4 cows, so each cow has 4 legs. Accordingly:

[tex]4 \ cows \times 4 \ legs=\boxed{16 \ legs}[/tex]

7. They notice a pair of antlers behind a bush, so this means there are 2 more deers, and each having 4 legs. Accordingly:

[tex]2\ deers \times 4 \ legs=\boxed{8 \ legs}[/tex]

7. They notice a pair of antlers behind a bush, so this means there are 2 deers, and each having 4 legs. Accordingly:

[tex]2\ deers \times 4 \ legs=\boxed{8 \ legs}[/tex]

Adding all the amounts of legs we have:

[tex]Total=16+64+30+42+16+12+8=\boxed{188 \ legs}[/tex]

Answer:

-8

Step-by-step explanation: I worked it out and I got -8 on a graphing calculator.

Answer:

The converse statement is "If its is September then it is my birthday"

Step-by-step explanation:

Answer:

If its is September then it is my birthday basically reverising it

Step-by-step explanation:

Answer

I assume you're talking about 6-7, so on the left lines, you already did it, you just regularly subtract the numbers, and then on the right lines, you round the first problem to the nearest ten, remember five and up, round up, so for question 6 the new number model would be 90-40=50. since 93 rounds down to 90 and 38 rounds up to 40. continue to do that and write the entire model AND answer on the line to the right. hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Estimate means put your calculator in a drawer or under a pillow. You are not going to use it.

The question means round to the nearest 10 (as it says)

One

93 rounds to 90   (93 is only 3  away from 90)

38 rounds to 40   (38 is very close to 40. You are only 2 away).

90 - 40 = 50

If you answer 55, you should get it wrong. That's not estimating.

Two

67 rounds to 70

49 rounds to 50

70 - 50 = 20        18 is just too exact.

Three

75 is very nasty. My call would be that you can call it 70 or 80. It all depends on what you have been told about 5s. On Brainly, I think you round up. So 75 become 80

27 rounds to 30

80 - 30 = 50  

The last one is all yours.

The range of a function is the output values ( Y values)

These would be the numbers the arrows are pointing at.

-8, -3 , 5 and 7

The answer is C.

Answer:

the answer is 30

Step-by-step explanation:

because it is an equilateral triangle all sides are the same so if you set 3x+15 equal to 7x-5 and solve for x you get 4x=20 and x= 5

when you plug 5 in to each equation you get 30 for both sides and so it proves that the answer is 30

it is 82.4

i hope you have a good day now

Final answer:

The volume of a sphere with a radius of 2.7 inches is calculated using the formula V = (4/3)πr³. After substituting the radius into the formula and calculating, the volume is approximately 82.5 cubic inches when rounded to the nearest tenth. None of the options provided match this value exactly.

Explanation:

To calculate the volume of a sphere with a radius of 2.7 inches, we use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging the radius into the formula gives:

V = (4/3)π(2.7 in)³

To find the volume, we perform the following calculations:

Calculate the radius cubed (2.7 in)³ = 19.683 in³.

Multiply by π (approximately 3.14159): 19.683 in³ × 3.14159 ≈ 61.8982 in³.

Multiply by 4/3: ≈ (4/3) × 61.8982 in³ ≈ 82.5309 in³.

Finally, round the volume to the nearest tenth: 82.5309 in³ rounds to 82.5 in³, which is not one of the options given. However, if we round to the nearest whole number, then 82.5 in³ would be rounded to 83 in³, which is also not one of the options. This indicates there may have been a mistake in the calculations or options provided.

None of the options given precisely match the calculated volume when rounded to the nearest tenth. However, the calculation we did indicates that the volume is approximately 82.5 cubic inches when we round to one decimal place. There may be an issue with the provided options or expected precision, so it's advisable to double-check the calculations and verify the choices provided for the answer.

[tex]\bf (\stackrel{x_1}{-13}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-10}{16-(-13)}\implies \cfrac{5}{16+13}\implies \cfrac{5}{29}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-10=\cfrac{5}{29}[x-(-13)] \\\\\\ y-10=\cfrac{5}{29}(x+13)\implies y-10=\cfrac{5}{29}x+\cfrac{65}{29}\implies y=\cfrac{5}{29}x+\cfrac{65}{29}+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{5}{29}+\cfrac{355}{29}~\hfill[/tex]

Answer:

all real numbers

Step-by-step explanation:

The range of the function f(x) = (6)x after it has been reflected over the x-axis is the single value y = -6, which represents a horizontal line at that height.

The question asks about the range of the function f(x) = (6)x after it has been reflected over the x-axis. Since f(x) is a constant function, its graph is a horizontal line at the height of y = 6 for any value of x within the domain 0 ≤ x ≤ 20. When this function is reflected over the x-axis, the range becomes the set of values that f(x) takes on after the reflection, which would be a horizontal line at y = -6.

Now, let's formulate what happens after the reflection: If the original range of f(x) is a horizontal line at y = 6, then after reflecting over the x-axis, the new range will be a horizontal line at y = -6. Therefore, the range of the reflected function is the single value y = -6.

https://brainly.com/question/22702396

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Divide the distance on the map by 2 to get the number of 8km segments there are, then multiply that by 8km for total distance.

16 cm / 2cm = 8

8 x 8km = 64km total.