The daily exchange rates for the​ five-year period 2003 to 2008 between currency A and currency B are well modeled by a normal distribution with mean 1.832 in currency A​ (to currency​ B) and standard deviation 0.044 in currency A. Given this​ model, and using the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more​ precisely, complete parts​ (a) through​ (d). ​a) What would the cutoff rate be that would separate the highest 2.5​% of currency​ A/currency B​ rates?

Answer:

Step-by-step explanation:

It is assumed the first winner is part of the second drawing as well

There are 4 people and two prizes

The probability of each person to win is 1/4

The first winner has 1/2 probability to get a mug

The second winner, if it is Jack, gets either prize

The combined probability is:

Answer:

The probability is 37.5%

Step-by-step explanation:

There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.

So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.

Also, “The monks named me aOng.”

Answer:

Sin A= − 12/37

Step-by-step explanation:

tan ⁡ A = − 12/35

Reason for minus sign is because of it's in the fourth quadrant.

12 = opposite

35 = adjacent

? = Hypotenuse

12² + 35² = hypotenuse ²

1369 = hypotenuse ²

hypotenuse = √1369

hypotenuse= 37

Sin = -12/37

Reason for minus sign is because of it's in the fourth quadrant.

Answer:

it is d

Step-by-step explanation:

idk just brainlyest

Answer:

D...............

Step-by-step explanation:

Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

Answer: 5/11

Step-by-step explanation:

The probability of picking a dime is [tex]\frac{2}{11}[/tex].

The measure of happening or non-happening of the outcomes of a random experiment is called probability.

P(E) = Number of favorable outcomes/ total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of quarters coins = 5

Total number of dimes coins = 2

Total number of pennies coins = 4

Therefore,

The total number of coins in a bag = 5 + 4 + 2 = 11

⇒ Total number of outcomes = 11

So, the probability of picking a dime coin is given by

P(E) = total number of dime coins/ total number of coins in a bag

⇒[tex]P(E) = \frac{2}{11}[/tex]

Hence, the probability of picking a dime is [tex]\frac{2}{11}[/tex].

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Answer:

The center is (2,6) and the radius is 8

Step-by-step explanation:

The answer is center: (2,6); radius: 8

Answer:

Yes it does provide strong evidence

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

2.3 repeating = 2 1/3

So 3 2/3 + 2 1/3

= 5 + 1

= 6.

Answer: 6

Step-by-step explanation:

[tex]3\frac{2}{3}+2.3^-[/tex]

Let's begin by converting the repeating decimal to a fraction and then to a mixed number.

Take the number:

[tex]2.3^-[/tex]

Let x (our result) be equal to that number.

[tex]x=2.3^-[/tex]

Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.

[tex]10x=2.3^-*10[/tex]

This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.

[tex]10x=23.3^-[/tex]

Subtract this and the original equation ([tex]x=2.3^-[/tex])

[tex]10x=23.3^-\\-x=2.3^-[/tex]

-----------------

10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21

[tex]9x=21[/tex]

Divide by 9

[tex]x=\frac{21}{9}[/tex]

Simplify by 3.

21/3=7

9/3=3

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

Now, convert to a mixed number. To do this, divide.

7/3=2

6

-------

1

The 2 is the whole number, 1 is the numerator and 3 the denominator.

[tex]2\frac{1}{3}[/tex]

------------------------------------------------------------------------------------------------

Now we can solve this;

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Add the whole numbers and the fractions separately.

[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]

[tex]5\frac{3}{3}[/tex]

3 and 3 can be simplied.

3/3=1

3/3=1

[tex]5\frac{1}{1}[/tex]

The result is 1, add this to the 5.

[tex]5+1=6[/tex]

Answer:

the second answer

Step-by-step explanation:

cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1

Answer:

A

Step-by-step explanation:

Answer:

square feet

Step-by-step explanation:

1/2 a feet is the full square is half

Answer: -18h^2 + 85h - 18

Step-by-step explanation:

(-2h+9)(9h-2)

Open brackets

(-2h x 9h) + (-2h x -2) + (9 x 9h) + (9 x -2)

-18h^2 + 4h + 81h - 18

Add like terms 4h + 81h

-18h^2 + 85h - 18

Answer:

$2680

Step-by-step explanation:

3.00-1.50= 1.50 profit per hotdog

1200+800=2000 expenses

1.50 (3120) = 4680

4680-2000=

2680 in profit

Answer:

D.

Step-by-step explanation:

A horizontal translation will move the first triangle a little to the right and then after the vertical translation the triangle will move downwards and will fit into the other triangle thus we will know that the two triangles are congruent.

Answer:

C. (x + 8) (x + 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:

[tex]x^2 + 15x + 56[/tex]

[tex]x^2 + 7x + 8x + 56[/tex]

Group:

[tex](x^2 + 7x) (8x + 56)[/tex]

Take out the GCF (Greatest Common Factor):

x(x + 7)  8(x + 7)

(x + 8) (x + 7)

Answer:4 and 5

Step-by-step explanation:

√(20) is approximately 4.5 so it is between 4 and 5

Answer:Simplifying

5(x + 2) = 3(x + 8)

Reorder the terms:

5(2 + x) = 3(x + 8)

(2 * 5 + x * 5) = 3(x + 8)

(10 + 5x) = 3(x + 8)

Reorder the terms:

10 + 5x = 3(8 + x)

10 + 5x = (8 * 3 + x * 3)

10 + 5x = (24 + 3x)

Solving

10 + 5x = 24 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

10 + 5x + -3x = 24 + 3x + -3x

Combine like terms: 5x + -3x = 2x

10 + 2x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0

10 + 2x = 24 + 0

10 + 2x = 24

Add '-10' to each side of the equation.

10 + -10 + 2x = 24 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = 24 + -10

2x = 24 + -10

Combine like terms: 24 + -10 = 14

2x = 14

Divide each side by '2'.

x = 7

Simplifying

x = 7

Step-by-step explanation:

Answer:

area of parallelogram= length of base × perpendicular height

8.7×4.9

= 42.63mm²

Answer:

$3900.

Step-by-step explanation:

If retirement is taken at the age of 67 years, income  = $1300 per month.

% Loss, if retirement taken at the age of 62 years = 25% per month

Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years

[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]

We know that there are 12 months in an year.

So, annual loss in total annual income over one year:

Loss in dollars per month [tex]\times[/tex] 12 :

325 [tex]\times[/tex] 12 = 3900$

Answer: $3,900

Step-by-step explanation:

What you usually make:

$1300 * 12 months = $15600

What you make with the cut:

$1300 * 0.75 = $975

* 12 months = $11700

15600-11700 = $3900

Answer:

0.83% probability that he actually typed them in alphabetical order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The number of ways in which n terms can be arranged is given by:

[tex]A_{n} = n![/tex]

Desired outcomes:

Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].

Total outcomes:

We want to arrange 5 entries. So

[tex]T = A_{5} = 5! = 120[/tex]

Probability:

[tex]p = \frac{D}{T} = 0.0083[/tex]

0.83% probability that he actually typed them in alphabetical order.

Answer:

1128cm

Step-by-step explanation:

The diagram of the problem is annotated and attached.

In the diagram, we are required to find the distance between Aliaa and the far corner, b.

In Triangle ABC

[tex]\angle A+\angle B+\angle C=180^\circ\\53^\circ+100^\circ+\angle C=180^\circ\\\angle C=180^\circ-153^\circ\\\angle C=27^\circ[/tex]

Using Law of Sines

[tex]\dfrac{b}{sin B} =\dfrac{c}{sin C} \\\dfrac{b}{sin 100} =\dfrac{520}{sin 27}\\b=(520 X sin 100)\div sin 27\\b=1127.997\\b\approx 1128$ cm (to the nearest centimeter.)[/tex]

Therefore, Aliaa should hit the ball a distance of 1128cm so that it lands perfectly in the far corner of the court.

Answer:

exponential decay...................

Answer:

exponential decay

Step-by-step explanation:

If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b

We start with 100 items

100, 50 ,25, 12.5

this is not linear so it must be exponential decay

x = amount (in L) of 0.04% solution

y = amount (in L) of 0.2% solution

x + y = 1

Each liter of p% salt solution contributes 0.01*p L of salt to the mixture. In the new solution, the lab tech wants to end up with a concentration of 0.12%, which comes out to 0.0012 * (1 L) = 0.0012 L of salt:

0.0004x + 0.002y = 0.0012

Solve for y in the first equation:

y = 1 - x

Substitute this into the other equation and solve for x, then y:

0.0004x + 0.002(1 - x) = 0.0012

0.0008 = 0.0016x

x = 0.5 L

y = 1 - 0.5 = 0.5 L

Answer:

  108 square feet

Step-by-step explanation:

When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.

So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.

Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:

  A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet

Answer:

its C

Step-by-step explanation:

Answer:

12, 13, 14, 15, 16

Step-by-step explanation:

Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)

According to the given condition:

[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]

Answer:

The solution

[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]

Step-by-step explanation:

Explanation:-

Consider the initial value problem y′+3 y=9 t,y(0)=7

Step(i):-

Given differential problem

                           y′+3 y=9 t

Take the Laplace transform of both sides of the differential equation

                L( y′+3 y) = L(9 t)

 Using Formula Transform of derivatives

                L(y¹(t)) = s y⁻(s)-y(0)

   By using Laplace transform formula

              [tex]L(t) = \frac{1}{S^{2} }[/tex]

Step(ii):-

Given

             L( y′(t)) + 3 L (y(t)) = 9 L( t)

            [tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]

            [tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]

Taking common y⁻(s) and simplification, we get

             [tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]

             [tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]

Step(iii):-

By using partial fractions , we get

[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]

  [tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]

 On simplification we get

  9 = A s(s+3) +B(s+3) +C(s²) ...(i)

 Put s =0 in equation(i)

   9 = B(0+3)

   B = 9/3 = 3

  Put s = -3 in equation(i)

  9 = C(-3)²

  C = 1

 Given Equation  9 = A s(s+3) +B(s+3) +C(s²) ...(i)

Comparing 'S²' coefficient on both sides, we get

  9 = A s²+3 A s +B(s)+3 B +C(s²)

  0 = A + C

put C=1 , becomes A = -1

[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]

Step(iv):-

[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]

[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]

Applying inverse Laplace transform on both sides

[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]

By using inverse Laplace transform

[tex]L^{-1} (\frac{1}{s} ) =1[/tex]

[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]

[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]

Final answer:-

Now the solution , we get

[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]

Answer:

The true statements are:

The cost of 9 magnets is $3.

The cost of 6 magnets is $2.

The cost of 3 magnets is $1.

Step-by-step explanation:

equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:

if the cost of 9 magnets is $3;

9 magnets = $3

∴ 1 magnet = 3/9 = $ 1/3 = 1:3

if the cost of 6 magnets is $2;

6 magnets = $2

1 magnet = 2/6 = $1/3 = 1:3

if the cost of 3 magnets is $1;

3 magnets = $1

∴ 1 magnet = $ 1/3 = 1:3

From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.

Answer:

B

Step-by-step explanation:

Y is the starting point so it would be y=12322 and it becomes 1.18 because you add 100 to 18

The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ. Option A is correct.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The number of users of a new smartphone app increases by %  = 18

a is the number of users at 1:00 p.m = 12,322

The exponential equation shows the number of users x hours after 1:00 p.m. is;

y=a(z)ˣ

Where,

a is the initial value

z is the percentage increment

y is the number of users after the given period

If the initial value of the percentage is 100.The value after the given time;

z = 100 + 18

z = 118

The z in the percentage form is 1.18.

The exponential equation shows the number of users x hours after 1:00 p.m will be y = 12322 (1.18)ˣ.

Hence, option A is correct.

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Answer: You add 9 each time

Step-by-step explanation:

19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55

hope this helps mark me brainliest if it did