standard normal distribution​

9514 1404 393

Answer:

  1)  f⁻¹(x) = 6 ± 2√(x -1)

  3)  y = (x +4)² -2

  5)  y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

__

1) x = f(y)

  x = (1/4)(y -6)² +1

  4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

  ±2√(x -1) = y -6 . . . . square root

  y = 6 ± 2√(x -1) . . . . inverse relation

  f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

__

3) x = √(y +2) -4

  x +4 = √(y +2) . . . . add 4

  (x +4)² = y +2 . . . . square both sides

  y = (x +4)² -2 . . . . . subtract 2

__

5) x = ∛(y +4) +4

  x -4 = ∛(y +4) . . . . . subtract 4

  (x -4)³ = y +4 . . . . . cube both sides

  y = (x -4)³ -4 . . . . . . subtract 4

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

Answer:where the equations

Step-by-step explanation:

Answer:

75°

Step-by-step explanation:

<4=<105 because they are corresponding angles.

Angles along a straight line add to 180°, so <1+<4=180. Therefore <1=180-105=75°

Answer:

5,090,039

Step-by-step explanation:

Are you trying to number it out?

Answer:

5,090,039

Step-by-step explanation:

Just separate them, do them one at a time and add them all together

5,000,000

     90,000

+          039

___________

Hope this helps

~R3V0

This is the graph I hope this helps

Answer:

4th number line (the one of the bottom right)

Step-by-step explanation:

First, solve the inequality, then choose the number line that mathes the solution.

3x ≤ -6

Only step: Divide by 3.

x ≤ -6/3

x ≤ -2

But which number line matches the solution?

We know this is going left, so #1 & #3 are out. This also has a closed circle (because of ≤ (less than/equal to)), so #2 is also out.

Number line #4 matches the solution (x ≤ -2), so it is the answer.

Answer:

a) CA + ED = 74

Step-by-step explanation:

The complete question is attached in the image

Solution

Here the two circles R and D are congruent and thus their radius will be equal  

Hence, RA (radius of circle R ) = DE (radius of circle D)

Hence, CA + ED = CA + 42

Also, RC = CD  

CA = CE + RA  = 32

So, CA + EO = 32 +42 = 74  

Answer:

x = 2, -1

Step-by-step explanation:

Move all terms to the left side and set equal to zero Then set each factor equal to zero

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

Plug in

A=660e^{0.455}

A=660e  

0.455

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19

Answer:

Step-by-step explanation:

Given

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

Begin by cross multiplying

Solution

Note: the original equation gives you 0/5 = 0/4   which is 0 = 0.

Step-by-step explanation:

a. Josh Studies more after earnings Low Test score is

when Y = in 15 Score Josh Time to Studies are 0 Hours

b. There is no association Between hours studied & Test Score = Nope ...After Josh GOT much Time to Studies He Can Make 98 Scores with 7 Hours Time Studies and average data can show is josh average time in studies comparing to Hours his make much scores

c. There is Positive Association Between hours & Test Score Yes

d. Nope

Answer:

Area of triangle AED = [tex]\frac{1}{2}[/tex] × AE × DE

Step-by-step explanation:

The area of a triangle is [tex]\frac{bxh}{2}[/tex]

Answer:

Other person is right, i took the test

Step-by-step explanation:

Answer:

(0,4)

Step-by-step explanation:

Add 4 to x and add 2 to y.

Answer:

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

Answer:

Step-by-step explanation:

z = 119                            Vertically opposite angles are equal.

5x + 41 + 119 = 180        5x + 41  and 119 are supplementary.

4x + 160 = 180               Subtract 160 from both sides

4x = 180 - 160

4x = 20                           Divide by 4

x = 20/4

x = 5

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]

cross multiply

3x = 6(4)

3x = 24

divide

x = 8

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

12 = 2² · 3

20! = 2¹⁸ · 3⁸ · [larger primes]

The highest power of 12 that is a factor of 20! is 12^8, limited by the number of factors of 3 there are.

  n = 8

Answer:

n = n

Step-by-step explanation:

explanation is on the top and he/she correct

Answer:

The answer is 21/25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

x=0  

g−1(4)=0∵ g(0)=4

Step-by-step explanation:

Answer:x=5 or x=−5

Step-by-step explanation:

4x^2−100=0

Step 1: Add 100 to both sides.

4x^2−100+100=0+100

4x^2=100

Step 2: Divide both sides by 4.

4x^2/4=100/4

x^2=25

Step 3: Take square root.

x=±√25

x=5 or x=−5

Answer:

x=5 or x=−5

Answer:

In a mathequation when needed

Step-by-step explanation:

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]

[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]

[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]

Solve for y

[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]

The above equation will then be plotted on the graph (See attachment)

Answer: that’s the answer c

Step-by-step explanation:

Bc of the work you put in

Answer:

46.77ft^2

Step-by-step explanation: