assemble the proof by dragging titles to the statements and reason columns
Given: <2 and <4 are vertical angles
Prove: <2=<4

Answer:

All of the statements are true

Step-by-step explanation:

Given that :

Number of trials (n) = 100

Expected number of successes = 55

The number of successes of the 100 trials :

Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55

Using Normal approximation :

Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45

σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975

The probability distribution of x = B(n, p) = x = B(100, 0.55)

Using approximation ; N(p, σ) = N(55, 4.97)

Hence, All of the statements are true

Answer:

Initial investment= $777.78

Step-by-step explanation:

Giving the following information:

Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years of investing. He ended up with $350 in interest on the account.

To calculate the principal (initial investment), we need to use the following formula:

I= P*r*t

I= $350

r= 0.045

t= 10

P= ?

350= P*0.045*10

350/0.45 = P

$777.78= P

Answer:

0^4

Step-by-step explanation:

lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's

Answer:

it is  10^4

Step-by-step explanation:

Answer:

I think it might be y= x+2

Step-by-step explanation: because it is going up times 2 every time

OWO

Answer:

900000000

Step-by-step explanation:

Area=400×500

=60000m²

Since

1m² = 15000

60000m² = x

x = 60000×15000

x = 900000000

Answer:

The function is being reflected

Step-by-step explanation:

When a function becomes negative it is being reflected

Answer:

C and E

f–1(x) has a y-intercept of (0, –36).

f–1(x) has a range of all real numbers.

Step-by-step explanation:

edge

Answer:

-4

Step-by-step explanation:

Answer: D) 13y^25 and 2y^25

Like terms involve the same variables, and each of those variables must have the same exponents.

Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.

Answer:

C

there are 10 spaces in between 2 and 3, so you just count up to it

Answer:

20g + 25h ≥ 4200

Step-by-step explanation:

Miranda needs nothing less than $4200 to but a car

Answer:

1

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

3-2/9-8

1/1

1

Best of Luck!

Answer:

The missing value y=12.5 and we have (5,12.5)

Step-by-step explanation:

The formula used for direct variation is:

[tex]y\: \alpha \:x\\y=kx[/tex]

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

[tex]y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5[/tex]

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

[tex]y=kx\\y=2.5(5)\\y=12.5[/tex]

So, the missing value y=12.5 and we have (5,12.5)

Answer:

The LCD is 36.

Step-by-step explanation:

3/4 = 3/4 × 9/9 = 27/36

7/9 = 7/9 × 4/4 = 28/36

Step-by-step explanation:

P(x)

= (x - 2)Q¹(x) + 5

= (x - 2)[(x² + 2x + 4)Q²(x) + 2x - 3] + 5.

Since x³ - 8 = (x - 2)(x² + 2x + 4),

(x - 2)[(x² + 2x + 4)Q²(x) + 2x - 3] + 5

= (x - 2)(x² + 2x + 4)Q²(x) + (x - 2)(2x - 3) + 5

= (x³ - 8)Q²(x) + (2x² - 7x + 11).

Hence when P(x) is divided by (x³ - 8),

the remainder is 2x² - 7x + 11.

Answer:

7 × 10²

Step-by-step explanation:

→ The first digit has to be above 1 and below 10

Answer:

5 is the correct answer.............

Answer:

Different Amount

Step-by-step explanation:

4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal

Answer:

solution

-V=17-2

-V=15

Answer:

[tex]P(R\ and\ B) = 0.0256[/tex]

Step-by-step explanation:

Given

[tex]Red = 22[/tex]

[tex]Yellow = 38[/tex]

[tex]Green = 20[/tex]

[tex]Purple = 28[/tex]

[tex]Blue = 26[/tex]

[tex]Orange = 16[/tex]

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

[tex]P(R\ and\ B) = P(R)\ and\ P(B)[/tex]

This is then solved further as:

[tex]P(R\ and\ B) = P(R)\ *\ P(B)[/tex]

[tex]P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}[/tex]

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}[/tex]

[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}[/tex]

[tex]P(R\ and\ B) = \frac{22*26}{150*149}[/tex]

[tex]P(R\ and\ B) = \frac{572}{22350}[/tex]

[tex]P(R\ and\ B) = 0.02559284116[/tex]

[tex]P(R\ and\ B) = 0.0256[/tex]

Answer:

first is a function second third ad fourth arent function

Step-by-step explanation:

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.

Given:

As, we know the relation is said to be a function if we have distinct inputs.

If the inputs are repeated then it is not a function.

So, {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.

Also, {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.

{(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.

{(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.

Learn more about function here:

https://brainly.com/question/13956546

#SPJ2

Answer: 162

Work: 152 - 30 which equals 122, then add 40, and you get 162.

I hope this helps for something, and Happy Holidays! :)

Answer:

a=9

Step-by-step explanation:

2/3 (a-18)=-6

a−18=−6×( 3/2)

a−18=−6×3/2

a−18= −18/2

a−18=−9

a=−9+18  

a=9

​

Answer:

A=9

Step-by-step explanation:

Simplify both sides of the equation.

2/3(a−18)=−6

(2/3)(a)+(2/3)(−18)=−6(Distribute)

2/3a+-12=-6

2/3a-12=-6

Add 12 to both sides.

2/3a−12+12=−6+12

2/3a=6

Multiply both sides by 3/2

(3/2)* (2/3a)= (3/2)* (6)

A=9

Answer:

Step-by-step explanation:

pounds / dollars =

You have to answer 2 questions.

1. Which axis are you reading first. Hint the question says pounds to dollars.

So you must be reading the x axis first. because it is pounds.

2. Where would the next point on the graph go.

You read along the x axis first. 25

then you read along the y axis. 20

The answer is 25,20 and that's where the next point goes.

Answer:

[tex]2[/tex]

Step-by-step explanation:

For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

So...

[tex]y_2=30\\y_1=10\\x_2=70\\x_1=60[/tex]

Now we plug in and solve...

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2[/tex]

So the slope will be 2.

Answer:

(a) The population in the year 2033 is 18630.

(b) After nearly 36years from the starting population of 11500 we will get our population tripled.

Step-by-step explanation:

In 2017, the population of a city is 11500, and is increasing exponentially at a rate of 3.1% per year

This can be formulated with the compound interest formula, also we can think the given situation as we have 11500 rupees which increases at the rate of 3.1% per year.

we can formulate the given situation using the compound interest formula.

A = P(1 + [tex]\frac{r}{n}[/tex])^n*t

A is the final population

P is the initial population = 11500

r is the rate at which the population increases = 3.1A =% = 0.031

n denotes the number of times the population increases per year = 1

t is the time or year = 1

A = [tex]11500( 1 + 0.031)[/tex]^1*t

(a) The number of years to reach the year 2033 from 2017 is 16years.

so we have the value of t = 16

 so the final population in the year 2033 will be

A = 11500(1+0.031)^1*16

   = 11500(1.031)^16

   = 11500*1.63

A = 18630

Therefore the population size in the year 2033 will be 18630.

(b) We need to find the year in which the population gets tripled. we will triple our population from the population which was in 2017

 so the our equation will be

 11500*3 = 11500(1+0.031)^1*t

  3 = (1.031)^t

upon taking logarithm both sides we get

log(3) = t*log(1.031)    ( using the property log(a^b) = blog(a)

0.477 = t*0.133

t = 0.477/0.0133

t = 35.86years

upon taking approximation we will get 36 years.

Therefore after nearly 36years from the starting population of 11500 we will get our population tripled.