Given P( A) =0.12 P (B) = 0.12 P(A)=0.12, = 0.3 P(B)=0.3 and P(A ∪ B) = 0.334 P(A∪B)=0.334, find the value of P(A∩B), rounding to the nearest thousandth, if necessary.

Answer:

15 miles

Step-by-step explanation:

Speed of John biking = 10 miles per hour

Time taken by John to travel the route = 1.5 hours

We know that

distance = speed * time

now that we know time and speed for John

we can distance by using the above formula

distance = 10  miles per hour* 1.5  hour = 15 Miles

Thus, the route was 15 miles long.

Answer:

15 miles

Step-by-step explanation:

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

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

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

\(15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88\)

So, the principal must be = $8991.88

The principal required is $ 8993.

Using the formula;

A = P(1 + r/n)^nt

Where;

P = principal = ?

r = rate = 0.13

n = Number of times the interest is compounded = 4

t = time = 4years

Amount = $15,000

15,000 = P(1 +  0.13/4)^4(4)

15,000 = P(1.668)

P = 15,000/1.668

P =$ 8993

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Answer:

6613.87

Step-by-step explanation:

multiply by 2205

Answer:

A) reflection over the x-axis, plus a vertical translation

Answer:

A

Step-by-step explanation:

EDGE 2020

Answer:4$

Step-by-step explanation:

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

Answer:

D.five more than the quotient of 6 and a number,

Step-by-step explanation:

To evaluate the the phrase written as :

6/r+5

Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :

6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.

Answer:

2 cm^3

Step-by-step explanation:

4/5 x 3/2 x 5/3 = 2

Hope this helps!

Answer:

4/5 x 5/3 x 3/2 = 2cm3

Step-by-step explanation:

The 3 is the unit

Answer:

B

Step-by-step explanation: it is a quadratic equation it can only have two intercepts

Answer:

25 inches

Step-by-step explanation:

bc you add 5 and add 20 percent, keep adding 5 until u get to 100 percent lol

Answer: 55%

Step-by-step explanation:

total: 40 questions

part A: 20

part B: 20

15/40 needed to pass

aka 37.5%

20% of 20 is 4

she needs 11 (15-4) questions correct to pass in part B

11/20 = .55 * 100 = 55% of the questions right in part B

Step-by-step explanation:

part A has 20 questions.

20% are correct, that means

100% = 20

20% = 100%/5 = 20/5 = 4

so, she has 4 questions correctly answered in part A.

she needs 15 correctly answered questions in total.

therefore, she needs to answer 11 questions correctly on part B.

part B has also 20 questions. how many % are 11 questions ?

100% = 20

1% = 100%/100 = 20/100 = 0.2

11 are a many % as 1% fits into 11 :

11/0.2 = 55

she needs to answer 55% of the questions correctly in part B.

Solution:

The number is given below as

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form

Concept:

count the number from the last number and then stop in front of the first number 6 and then multiply in powers of 10

The general form of a scientific notation is given below as

By applying the concept, we will have

Hence,

The final answer is

Answer:

25

Step-by-step explanation:

Answer:

Paul is correct 2 divided by 2 equals 1

Step-by-step explanation:

If you divide 2 by 2 you get 1 because 2×2=4 and 2×1=2

The range of the graphed function in this problem is given as follows:

[-9, 9].

The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:

[-9, 9].

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Answer:

x = - 2 , x = 4

Step-by-step explanation:

the x- intercepts are the points on the x- axis where the graph crosses

the graph crosses the x - axis at - 2 and 4 , then

x- intercepts are x = - 2 , x = 4

The probability of choosing red ribbon on both Monday and Tuesday is 1/4.

What is the probability?

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given that each morning Tess chooses either red ribbon or blue ribbon at random to wear in her hair.

That means probability of choosing between blue or red is 1/2 in one morning.

Now the probability of choosing red ribbon on both Monday and Tuesday,

1/2 × 1/2

= 1/4

Therefore, the probability of choosing red ribbon on both Monday and Tuesday is 1/4.

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The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

All Real Solutions/Infinite Solutions

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(3(x-1)-x=3+2(x-3)\\--------------\\\rightarrow 3x - 3 - x = 3 + 2x - 6\\\\\rightarrow 2x - 3 = 3 + 2x - 6\\\\\rightarrow -3 = 3 - 6\\\\\rightarrow \boxed{-3 = -3}\)

⸻⸻⸻⸻

This is an identity; there are infinitely many solutions.  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Sophia gets 7,150

Step-by-step explanation:

We start by drawing a number line

to the left of the zero we write the negative numbers and to the right of the numbers the positive integrers

The numbers as they start going to the left they start decrasing and contrary when they go to the right they increase

According to this -5 is less than -2 because -5 is located to the left of -2 in the number line

Answer:

-16

Step-by-step explanation:

8 - 4 x 2 x 3 =

8 - 24 =

-16 =

Answer:

2x^3-8x^2+8x+12

Step-by-step explanation:

split them up

use distributive property

2x-6(x-2)

2x^2-4x-6x+12(x+1)

use distributive property again

2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12

simplify

2x^3-8x^2+8x+12

I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules

If you divide it by 2, then the answer is

x^3-4x^2+4x+6

Answer:reflection image of the other

Source:trust me bro

Answer:

1-2

Step-by-step explanation:

honestly idek what this stuff is I just need points

Net Price Equivalent Rate is 0.9504

Single Equivalent Discount Rate is 0.0496

Trade Discount is $59.52

Net Price is $1140.48

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent % symbol.

The Net Price Equivalent Rate is calculated by multiplying the complements of the discount series (4/1) together.

Net Price Equivalent Rate = (100% - 4%) * (100% - 1%)

{ by subtracting given discount series from 100}

Net Price Equivalent Rate = 0.96 * 0.99

Net Price Equivalent Rate = 0.9504

The Single Equivalent Discount Rate is found by subtracting the net price equivalent rate from 1.

Single Equivalent Discount Rate = 1 - Net Price Equivalent Rate

Single Equivalent Discount Rate = 1 - 0.9504

Single Equivalent Discount Rate = 0.0496

Trade Discount = List Price * Single Equivalent Discount Rate

Trade Discount = $1200 * 0.0496

Trade Discount = $59.52

Net Price = List Price * Net Price Equivalent Rate

Net Price = $1200 * 0.9504

Net Price = $1140.48

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Cοmplete Questiοn:

Cοmplete The Fοllοwing Tables: (Dο Nοt Rοund Net Price Equivalent Rate And Single Equivalent Discοunt Rate. Rοund The Dοllar Amοunts Tο The Nearest Cent.) Item List Price Chain Discοunt

Cοmplete the fοllοwing tables: (Dο nοt rοund net price equivalent rate and single equivalent discοunt rate. Rοund the dοllar amοunts tο the nearest cent.)

Item List price Chain discοunt Net price equivalent rate (in decimals) Single equivalent discοunt rate (in decimals) Trade discοunt Net price

Samsung Blu-ray player $199 8/4/3

Item List price Chain discοunt           Net price Trade discοunt

Sοny digital camera $320 3/5/9 $ $

Answer:

english please

Step-by-step explanation:

Answer:

English plz

Step-by-step explanation: