2+3i / 1-4i simplify ​

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]

Answer:

24 miles per hour.

Step-by-step explanation:

you divide 144 by 6 to get 24.

Answer:

24 miles per hour

Step-by-step explanation:

To find the mph rate, you just have to take the number of miles traveled, divided by the time.

So:

144 ÷ 6 = 24

Which means they were traveling at 24 miles per hour

Answer:

1. 25÷4w

2. w=6.25

3.I divided 25 by 4 to find w

Step-by-step explanation:

Answer:

Subtract

12

from both sides of the equation.

x

2

+

y

2

−

12

x

+

2

y

=

−

12

Complete the square for

x

2

−

12

x

.

Tap for more steps...

(

x

−

6

)

2

−

36

Substitute

(

x

−

6

)

2

−

36

for

x

2

−

12

x

in the equation

x

2

+

y

2

−

12

x

+

2

y

=

−

12

.

(

x

−

6

)

2

−

36+y2+2y=−12

Move

−36

to the right side of the equation by adding

36

to both sides.

(x−6)2+y2+2y=−12+36

Complete the square for

y2+2y.

Tap for more steps...

(y+1)2−1

Substitute

(y+1)2−1

for

y2+2y

in the equation

x2+y2−12x+2y=−12.

(x−6)2+(y+1)2−1=−12+36

Move

−1

to the right side of the equation by adding

1

to both sides.

(x−6)2+(y+1)2=−12+36+1

Simplify

−12+36+1.

Tap for more steps...

(x−6)2+(y+1)2=25

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)2+(y−k)2=r2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r=5 h=6 k=−1

The center of the circle is found at

(h,k).

Center:

(6,−1)

These values represent the important values for graphing and analyzing a circle.

Center: (6,−1)

Radius:

5

image of graph

Step-by-step explanation:

Answer:

A) (x+6)^2 + (y-1)^2 =49

B) (-6, 1)

C) Radius of 7

D) I’ll try to add picture

Step-by-step explanation:

hotomath

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

Answer:

uh i dont know lol im new how do i use this thing bahahaha

Step-by-step explanation:

Step-by-step explanation:

First, find complete data.

That would be 2, 12 and 5, 30

Divide the output by the input to get the relationship/constant.

12/2 = 6     30/5 = 6

So...

1 x 6 = 6

and

48 / 6 = 8

9514 1404 393

Answer:

  (b)  Output 6, Input 8

Step-by-step explanation:

One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier

  output/input = 12/2 = 30/5 = 66/11 = 6

Then for input 1, output is 1×6 = 6.

For unknown input, we have ...

  input × 6 = 48

  input = 48/6 = 8

__

The two blanks are ...

 input: 8; output 6

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

The triangles PRQ and MRN are not similar.

Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:

∠R = ∠R

∠Q = ∠N

∠P = ∠M

The following proportion rule must apply below:

PR / MR = RQ / RN = PQ / MN

18 / 10 = 21 / 7

9 : 5 ≠ 3 : 1

Therefore, the triangles are not similar

learn more on similar triangles here: https://brainly.com/question/10810713

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

Answer:

-16

Step-by-step explanation:

(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy

Multiply first parenthesis:

= -8

Multiply second parenthesis:

= 8

Combine (subtract):

-8 - 8 = -16

Answer:

-32

Step-by-step explanation:

your required answer is

-2 × -4 × 1 × -4 = -32

Answer:

13

Step-by-step explanation:

You must use PEMDAS to solve this equation.

Solve everything in the parentheses first;

4(6) = 24

24 + 2 = 26

26 / 2 = 13

Final answer = 13

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Uhh I might just answer this so the guy who did so much can get brainliest

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual ,  56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

   = 296 + ( (296 / 67 ) * 33 )

   = 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

   ≈ 1163

Total rooms booked = X + Y

                                  = 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

 =  1605 - 1465

 =  140 ( Your Hotel is over booked )

Answer:

Its D

Step-by-step explanation:

I just submited that same exact test from connexus

Answer: D 500 cubic centimeters

Step-by-step explanation:

The formula of a volume is Volume = Length x Width x Height. In this case, it already gave us all of the sides that we need! So all we need to do is multiply 5 x 5 x 20 which gives us 500 cubic centimeters!

Hope this helped! ^^

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

Answer:

y = 4

Step-by-step explanation:

use the distributive property

9y - 36 = 0

     +36  +36

9y = 36

divide by 9

y = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

See Explanation

Step-by-step explanation:

For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;

dT/dt=-k(T-Tₐ)

So

dT/dt = 2 degrees Celsius per minute

T = 70 degrees Celsius

Ta = 25 degrees Celsius

2 = -k(70 - 25)

-k = 2/(70 - 25)

k = - 0.044

Hence we can write;

dT/dt=-(- 0.044)(95-25)

dT/dt= 3 degrees Celsius per minute

Answer:

Its 10, because it repeats the most

Step-by-step explanation:

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

Differentiate w.r.t time (t)

[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]

[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

From the question, we have that the plan travels are 510mi/h.

This implies that:

[tex]\frac{dx}{dt} = 510mi/h[/tex]

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

[tex]y = 2mi[/tex]

Apply Pythagoras theorem

[tex]x^2 + 1^2 = y^2[/tex]

[tex]x^2 + 1^2 = 2^2[/tex]

[tex]x^2 + 1 = 4[/tex]

[tex]x^2 = 4-1[/tex]

[tex]x^2 = 3[/tex]

[tex]x = \sqrt 3[/tex]

So, the expression becomes:

[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]

[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]

[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]

[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]

[tex]\frac{dy}{dt} = 441.655[/tex]

[tex]\frac{dy}{dt} = 442[/tex]

Hence, the distance is 442 miles

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

Find out more at: https://brainly.com/question/15016913