The probability of the states of nature, after use of bayes' theorem to adjust the prior probabilities based on given indicator information, is called _____.

Answer:

Month        Total Bill

1                  1000

2                  1,020

3                  1,040.40

4                  1,061.21

5                  1,082.43

6                  1,104.08

7                  1,126.16

8                  1,148.69

Step-by-step explanation:

Use the formula for compound interest

[tex]A = P(1+r)^t[/tex]

where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods

Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months

So 1 + r = 1+0.02 = 1.02

We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02

All figures rounded to the nearest cent

Answer

Month        Total Bill

1                  1000

2                  1,000 x 1.02 = 1,020

3                 1,020 x 1.02 = 1,040.40

4                 1,040.40  x 1.02 = 1,061.21

5                  1,061.21  x 1.02 = 1,082.43

6                  1,082.43 x 1.02 = 1,104.08

7                  1,104.08 x  1.02 = 1,126.16

8                   1,126.16 x 1.02 = 1,148.69

Fractions Context: How do they work?  -

- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.

- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.

(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)

- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.

________________________________________________________
How can we muiltiply fractions?

Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.

Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]

Think we're done here? Haha, not in the least!

Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.

6/20 can be divided by 2 on both the numerator and the denominator.

3/10 would be the FINAL ANSWER!
________________________________________________________
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Have a WONDERFUL day! (:

Answer:

[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]

Step-by-step explanation:

That is your answer

Answer:

35

Step-by-step explanation:

There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.

Hope this helps you

Answer: i knew this before but i forgot

Step-by-step explanation:

.

Answer: 5.582 * 10^4  

Step-by-step explanation:

55,820=

55,820/10,000 * 10,000=

5.5820 * 10,000 =

5.5820 * 10^4 = 5.582 * 10^4

The zero(s) of function f(x) = -4x + 6 is [tex]x=\frac{3}{2}[/tex]

As per the question statement, We are given a function [tex]f(x) = -4x + 6[/tex]   and we are supposed to find the zero(s) of the function.

We know that zero of a function is the value of the function at which the value of function becomes absolute zero.

For that we have to equate the function to zero first.

f(x) indicates the function with variable in "x"

For zero(s), of f(x)

Let f(x) = 0

[tex]f(x) = -4x+6=0\\4x=6\\x=\frac{6}{4} \\x=\frac{3}{2}[/tex]

Therefore value of x at which f(x) is zero is [tex]x=\frac{3}{2}[/tex]

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Answer:

Exact form 2/11

Decimal form 0.18

Answer: It is A, or 9 inches

Step-by-step explanation:

1. We know that the length and width is 3, so that is 3 * 3, which is 9

2. Therefore, with the volume of 81, we would know that 9 * 9 is 81, so the height is 9 inches

Answer:

= 6(4 + 5)

Step-by-step explanation:

GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)

24 divided by 6 = 4

30 divided by 6 = 5

This fits B the most: 6(4 + 5)

Step-by-step explanation:

The possibility that something will occur, prior measures, and conventional objective measurements all influence the likelihood that something will occur.

What is probability and what types are there in total?

The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0. When an event has a probability of 1, it can be said to be a certainty. For instance, if the coin lands flat, the likelihood that it will come up  "heads or  tails" is 1. There are no other possible outcomes. A probability of .5 indicates that there is an equal chance that an event will occur or not.

Probability can be quantitatively represented in the simplest form as follows: the total number of possible outcomes multiplied by the ratio of the number of occurrences of a targeted event divided by the sum of the occurrences and failures of occurrences:

P(a) = P(a)/[P(a) + P(b)]

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The scale factor of the the larger triangle to the smaller triangle is: 3.25.

When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.

Find the scale factor of the larger triangle to the smaller triangle:

One dimension of the larger triangle = 13

Corresponding dimension of the smaller triangle = 4

Scale factor of the dilation = 13/4

Scale factor of the dilation = 3.25

Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.

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Answer:

5/12

Step-by-step explanation:

Answer:

5/12.

Step-by-step explanation:

3/8 / 9/10

= 3/8 * 10/9

= 1/8 * 10/3

= 1/4 * 5/3

= 5/12

Since, we have to find the sides of the given triangle we will make it a right angle triangle.

Construction: Extend XY to 1 unit and name it Z and join the point W with Z.

Now, the triangle YWZ is a right angle triangle where

YZ = 1 unit

WZ = 3 units

Then [tex]WY = \sqrt{(YZ)^{2}+ (WZ)^{2} }[/tex]     [By Pythagoras Theorem]

= [tex]WY = \sqrt{(1)^{2}+ (3)^{2} }[/tex]

= [tex]WY = \sqrt{(10) }[/tex]

= [tex]WY = 3.16[/tex] units

Now, the triangle XWZ is also a right angle triangle where

XZ = 3 units

WZ = 3 units

Then [tex]WX = \sqrt{(XZ)^{2}+ (WZ)^{2} }[/tex]    [By Pythagoras Theorem]

= [tex]WX = \sqrt{(3)^{2}+ (3)^{2} }[/tex]

= [tex]WX = \sqrt{18[/tex]

= [tex]WX =4.23[/tex] units

Now, In triangle XYW

XY = 2 units

WY = 3.16 units

WX = 4.23 units

∴ The perimeter of the triangle XYW will be

XY + WY + WX

= 2 + 3.16 + 4.23

= 9.39 units

To the nearest hundred, 9.39 rounds to 9

⇒ The perimeter of the triangle XYW is 9 units.

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Answer:

Part A:

(0.20)(10) = (0.05)(x) + (0.40)(10 - x)

Part B:

5.7 litres of 5% and 4.3 litres of 40%

Step-by-step explanation:

Let's assume she will stick with 10 litres in total for her mixture. (Maybe that's the size of her container.)

Let the volume of 5% by x litres.

Therefore the volume of 40% will equal 10 - x.

Reason: 10 litres total, if we use 2 litres of the one, we'll use 8 litres of the other. Get it?

Moving along...

So:

(0.20)(10) = (0.05)(x) + (0.40)(10 - x)

Now we solve the equation...

2 = 0.05x + 4 - 0.4x

2 - 4 = - 0.35x

-2 = -0.35x

let's multiply both sides by 100 to get rid of the decimal

-200 = -35x

x = 200/35

x = 5.7 litres (volume of 5% solution needed)

volume of 40% = 10 - 5.7 = 4.3 litres

Answer:

Step-by-step explanation:

if 14/6=32/4

12/4=3 y-6=3 y=9

0/4=0 y-6=0 y=6

if y=4 x=-8

y=-3 x=-36

Answer:

Step-by-step explanation:

y = 6 - (x/4)                 replace the given values with x or y

x    :    y

32   :    14

12    :    3

0     :    6

8    :     4

36    :    -3

8 yards is the radius of the base

Answer:

D (-4, -1), A (-2, 3), S (-1, 2), N (-1, 0)

Tip:

To move a point down by two units, subtract the y in (x, y) by 2.

Answer:

Her annual salary is $62,400

Step-by-step explanation:

Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.

Bi weekly is a check every 2 weeks, so she would get 26 checks per year.

Monthly would be 12 checks per year.

When she gets paid monthly her pay increased by $2,800 each check.

Let x be one bi-weekly paycheck.

The equation we get is:

12(x+2800) = 26x

Multiply the bracket by 12:

12x +33600 = 26x

Subtract 12x from both sides

33600 = 14x

Divide both sides by 14:

x = 33600/14

x = 2400

Her pay increased by 2800 each period:

2400 + 2800 = 5200 per check.

5200 x 12 months = 62400

Her annual salary is $62,400

Answer:

Step-by-step explanation:

(14.75x10)+(3.5x5)+15.50= 180.5

14.75= trampoline per hour

10= the friends 2x hours

3.5= socks

5= the number of friends

15.50= the super pizza deal

Answer:

120+2.51=122.51cm

since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one. The statement is false.

US Census is a typical comprehensive count of a population specifically: an annual population count conducted by the government.

Now,

According to the laws of the US, it is true that the law permits people to indicate multiple racial identities to the US Census, in order to complete the data and determine the population of the States.

Hence, it is false that: since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one.

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The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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Answer:

Function g(x) has the greater average rate of change over the given interval.

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]

Given:

Therefore, the average rate of change for the function f(x) over the given interval 4 ≤ x ≤ 8 is:

[tex]\sf \implies\dfrac{f(8)-f(4)}{8-4}=\dfrac{14-0}{8-4}=3.5[/tex]

Work out values of function g(x) for x = 4 and x = 8:

[tex]\implies \sf g(4)=2(4)^2+(4)-1=35[/tex]

[tex]\implies \sf g(8)=2(8)^2+(8)-1=135[/tex]

Therefore, the average rate of change for the function g(x) over the given interval 4 ≤ x ≤ 8 is:

[tex]\implies \sf \dfrac{g(8)-g(4)}{8-4}=\dfrac{135-35}{8-4}=\dfrac{100}{4}=25[/tex]

Therefore, function g(x) has the greater average rate of change over the interval 4 ≤ x ≤ 8, as 25 > 3.5.

The length of the mural is 75 feet.

From the information, it was stated that a 2:15 scaled pattern for a mural is 10 feet long.

Therefore, the length of the mural will be:

= 10 ÷ 2/15

= 10 × 15/2

= 75

Therefore the length of the mural is 75 feet

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Answer:

y = x + 5

Step-by-step explanation:

m = 1, x = -2, y = 3

y = mx + b

3 = 1(-2) + b

3 = -2 + b

b = 3 + 2 = 5

therefore

y = x + 5