lf the exchange rate of 1 dollar is Rs 72.45. how many dollars exchanged for Rs 1449 ?
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The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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The options for the questions are not given. However, it is to be noted that  VDG systems are used to help aircraft dock without any accidents. It is an aircraft system.

VDG is short for Visual Docking Guidance System.

It is an aircraft system that comprises of:

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

The confidence level for the true average strain is (24.69,27.31) and the prediction level is (20.01,31.99) and also it is estimated that prediction level is much wider than the confidence level

Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.

a)

We must calculate the true average strain in a way that conveys precision and reliability.

We have to use t-test in our problem because sample size is less than 30.

We Know that,

True average value is determined by formula,

\(\mu\pm t*\frac{S}{\sqrt{n}}\)

where μ is sample mean,

s is sample standard deviation.

Degree of freedom=n-1

=20-1

=19

t-value at 95% confidence interval=1.7281

\(26\pm 1.728*\frac{3.4}{\sqrt{20}}\\\\=26\pm1.728*0.7606\\\\=26\pm1.31\\\\=24.69,\ 27.31\)

b)

predicted value can be calculated by formula,

\(\mu \pm t*S\sqrt{1+\frac{1}{n}}\\\\=26\pm 1.728*3.4\sqrt{1+\frac{1}{20}}\\\\=26\pm 1.728*3.4*1.02\\\\=26\pm5.99\\\\=20.01,\ 31.99\)

As a result, we conclude that the prediction interval is greater than the confidence interval.

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Answer:

i think 471.24cm³?

i just found the volume for both the cylinder and cone and added them together.

Answer:

6

Step-by-step explanation:

Area of sq:

A = bh

A = (2)(2)

A = 4

Area of triangle:

A = 1/2bh

A = 1/2(2)(2)

A = 2

Combined:

4 + 2 = 6

Answer:

$4500 each if he splits it eqaully

Step-by-step explanation:

9000÷2=4500

hope this helped (~‾▿‾)~

The value for which f(x) is equal to 5 is c = ∛4 = 1.59, that proves the intermediate value theoerem.

We have the function:

f(x) = x³ + 1

Evaluating this on the end values of the interval [0, 3] we will get:

f(0) = 0³ + 1 =1

f(3) = 3³ + 1 = 27 + 1 = 28

Now, the value k = 5 is between these two:

1 < 5 < 28

The intermediate value theorem says that there is a value c in [0, 3] such that f(c) = 5, so let's find the value of c.

c³ + 1 = 5

c³ = 5 - 1

c³ = 4

c = ∛4

c = 1.59

That is the value for which f(x) is equal to 5.

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Answer:

26

Step-by-step explanation:

14+15=29

29-3=26

Answer:

26

Step-by-step explanation:

do what is in the parenthesis first which is 14+15 which = 29

then you just do 29-3 which = 26

Answer:

20 hrs

Step-by-step explanation:

distance/velocity

1000/50

The standard deviation is 71.

To find the standard deviation, first calculate the mean which is the sum of all the observations divided by the total number of observations.

Data is, 20, 40, 31, 7, 15, 29, 25, 20, 17, 32, 28, 12, 34, 29, 20, 17, 33, 23.

Total number of observations are, 18.

Sum of observations, 20+40+31+7+15+29+25+20+17+32+28+12+34+29+20+17+33+23 = 432

Mean = sum of observations/total number of observations

Mean = 432/18

Mean = 24

Standard deviation = \(\sigma = \sqrt{\dfrac{(\sum x_i-\mu)^2}{N}}\).

Where, μ is the Mean of the observations.

N is total number of observations.

\(x_i\)  is the ith observation.

σ = {(20-24)^2+(40-24)^2+(31-24)^2+(7-24)^2+(15-24)^2+(29-24)^2+(25-24)^2+(20-24)^2+(17-24)^2+(32-24)^2+(28-24)^2+(12-24)^2+(34-24)^2+(29-24)^2+(20-24)^2+(17-24)^2+(33-24)^2+(23-24)^2}/18

σ = {1278}/18

σ = 71

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Answer:

  \(\dfrac{k^2+5k}{4k^2}\)

Step-by-step explanation:

A suitable common denominator is 4k^2. (This eliminates the first and last choices.)

\(\dfrac{3k}{k^2}+\dfrac{k-7}{4k}=\dfrac{4(3k)}{4(k^2)}+\dfrac{k(k-7)}{k(4k)}\\\\=\dfrac{12k+k^2-7k}{4k^2}=\boxed{\dfrac{k^2+5k}{4k^2}}\)

Answer:

When takiing the 2a to the other side she forgot to change sign:

8(−a+4)=−6a−8+8a

−8a+32=2a−8

−10a=−40

a = 4

The answer is C

The mistake that Lily made if this equation has no solution is (B. She applied the distributive property incorrectly).

Lily applied the distributive property incorrectly when trying to simplify the left-hand side of the equation. The correct steps should involve distributing the 8 to both terms inside the parentheses, but it seems like Lily only distributed the 8 to the first term and missed the second term. This resulted in an incorrect simplified equation and subsequent steps.

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The dimensions of the rectangle after dilation by a sclae factor of 3 is,

Length = 15 inches

Breadth = 27 inches.

A dilation is a transformation that produces an image of a different size but with a similar overall shape to the original.

A dilation that enlarges an image is called an enlargement, and a dilation that shrinks an image is called a reduction.

The scale factor, which is employed to enlarge a mathematical entity, will determine the size of the image (compared to the original object). When the absolute value of the scaling factor is greater than 1, an expansion occurs.

The given rectangle dimension is :

width= 5 inches and

length= 9 inches.

When the sides of a rectangle are multiplied by a scale factor of 3, the rectangle is said to be dilated by that factor.

So, the width of rectangle is after dilation is 5×3 = 15  inches

So, the length of rectangle is after dilation is 9×3 = 27 inches

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Exponential Growth Model

The function that models an exponential growth of some variable is:

Where a is the initial amount of the variable and b is the base of the exponential function: b = 1 + r and r is the growth rate. We can express the model as:

We are given the model as:

We can get the values of a and b by comparing them with the general model:

a = 2500, b = 1.50

We can also find r by solving 1 + r = 1.50 => r = 0.50 = 50%

These values can be interpreted as follows:

There were initially 2500 referrals for the website. It increases by a factor of 1.5 every year, which means the annual percent increase is 50%,

Edwin needs to sell 44,625 jars of jam to break even.

To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:

Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)

Given information:

Selling Price per Unit (SP) = $1.90

Variable Cost per Unit (VC) = $1.10

Fixed Expenses = $35,700.00 per year

Plugging in the values into the formula:

Breakeven Point = $35,700 / ($1.90 - $1.10)

Breakeven Point = $35,700 / $0.80

Breakeven Point = 44,625 jars

Therefore, Edwin needs to sell 44,625 jars of jam to break even.

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Answer:

P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8

Step-by-step explanation:

The probability of a guest sitting in a winning section is 1/8.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.

Here, N(S) = 40 and N(H) = 5.

Therefore, We know, P(H) = N(H)/N(S).

P(H) = 5/40.

P(H) = 1/8.

Some more concepts of probability are, Conditional probability,

A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

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Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:

235 = a * b ^ 0

395 = a * b ^ 10

Solving for a and b, we get:

a = 235

b = (395/235)^(1/10) = 1.067

Therefore, the exponential model for new cases in Milwaukee is:

y = 235 * 1.067 ^ x

b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:

y = 235 * 1.067 ^ 19 = 1018.5

Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.

c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.

Answer:

It's 8 units to the left and 5 units up.

Step-by-step explanation:

You know this because the bottom right point of the triangle starts out at (6,-6) and ends up at (-2,-1), so the x value decreased by 8 and the y value increased by 5.

Answer:

A translation by 8 units to the left and 5 units up.

Step-by-step explanation:

A = (3,-4)

B = (5, -2)

C = (6,-6)

A' = (-5,1)

B' = (-3,3)

C' = (-2,-1)

(3,-4) --> (-5,1)  = -8, +5

(5,-2) --> (-3,3) =   -8, +5

(6,-6) --> (-2,-1) = -8, +5

Constant of -8 in x-values.

Constant of +5 in y-values.

8 left.

5 up.

Answer: Second choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Answer:b because the equation is right.

Step-by-step explanation:

Step-by-step explanation:

D.

15 × (1 + 2) is you're answer

Answer:

\(\frac{1}{x^{12} }\)

Step-by-step explanation:

Given \((\frac{x}{x^{-5}})^{-2}\)

The Negative Exponent Rule states that, \(a^{-n} = \frac{1}{a^{n}}\)

Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1:  \(\frac{1}{(\frac{x}{x^{-5}})^{2}}\)

Then, you'll have to work on the denominator:

\(\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}\)  

Next, you'll have to work on the divisor of x² (in the denominator), \((x^{-5})^{2}\) by using the Power-to-Power Rule of Exponents: \((a^{m})^{n} = a^{mn}\), which results in:

\((x^{-5})^{2} = x^{-10}\)

Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.

\(\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}\)    

At this point, you could apply the Fraction rule onto the denominator: \(\frac{a}{\frac{b}{c}} = \frac{a*c}{b}\)

So the denominator now becomes:

\(\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }\)

Finally, you could apply the Product Rule of Exponents, \(a^{m}a^{n} = a^{m + n }\) onto the denominator:

   \(\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }\)

Therefore, the correct answer is: \(\frac{1}{x^{12} }\)

Answer:

Hey there! Thanks for asking your question.

We can multiply the numerators and denominators by any number.

Either way, you will have the same equivalent fraction.

Let's do a practice problem:

\(\frac{1}{2} = ?\)

We can multiply the numerator & denominator by 2.

We get the number \(\frac{2}{4}\).

So, \(\frac{1}{2} = \frac{2}{4}\).

Best of Luck!

we are given the following function:

we are asked to find the derivative of this function. To do that, we will take logarithms on both sides of the equation, like this:

Now we will use the following property of logarithms:

applying that property we get:

Now we will use the following property of logarithms:

applying that property we get:

Now we'll make use of the following property of logarithms:

We'll rewrite the roots first as fractional exponents:

Now we apply the property:

Now we differentiate on both sides of the equation, following the rules of logarithmic differentiation, that is:

Applying that to the equation:

Simplifying:

Now we solve for f'(x), like this:

Now we substitute the value of f(x)

And this is the derivative of the function.

to the right is P(z> Z)

so P(z>Z) = 0.9909

P(z< Z) = 1- 0.9909 = 0.0091

Closest values from a z-table

P(z< -2.37) = 0.00889 (-0.00011 away)

p(z< -2.36) = 0.00914 (+0.00014 away)

so the answer must be (c) since it is between -2.36 and -2.37

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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