Which transformation will always produce the same image as a rotation 90° counterclockwise?
A. A reflection over the y-axis.
B. A rotation 270º clockwise.
C. A rotation 90° dockwise.
O D. A reflection over the x-axis.

The probability that fewer than two machines will be inoperative during a particular day is 0.29753.

Poisson distribution tells us the probability that exactly k events happen in a given time period, given that we expect of those events during that time period, and the chances of two or more events occurring are independent of each other.

For a Poisson distribution as described above, the probability of exactly k events during the given time period is:

P(X=k) = (k.e-)/(k!)

In this case we have one day as time period, we have 200 machines in use, and the probability of machine being inoperative on a given day is 0.009

No of machines being inoperative on any day = 0.009 x 200 = 1.8

The probability of fewer than two machines being inoperative is equal to the sum of probability of zero machines being inoperative and one machine being inoperative.

P(X<2) = P(X=0) + P(X=1)

On using the formula,

P(X<2) = (1.80.e-1.8)/(0!) + (1.81.e-1.8)/(1!)

On simplifying it,P(X<2) = e-1.8 +1.8*e-1.8  = 2.8*e-1.8

The probability is 2.8*e-1.8 which is approximately equal  to 0.29753.

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Answer:

1.   ( 5 , 0)

2.   ( 0 , -3)

Step-by-step explanation:

Answer:

Okay so to find the y intercept on a graph you have to see where the line intersects on the y-axis. And for the x- intercept basically the exact same thing you need to see where it intersects on the x-axis.

Step-by-step explanation:

the area under the standard normal curve between z = -0.71 and z = -0.32 is approximately 0.1356 (rounded to four decimal places).

To find the area under the standard normal curve between z = -0.71 and z = -0.32, we need to calculate the cumulative probability associated with these z-values.

Using a standard normal distribution table or a calculator, we can find the cumulative probability to the left of z = -0.71 and z = -0.32, respectively.

The cumulative probability to the left of z = -0.71 is approximately 0.2389 (rounded to four decimal places).

The cumulative probability to the left of z = -0.32 is approximately 0.3745 (rounded to four decimal places).

To find the area between z = -0.71 and z = -0.32, we subtract the cumulative probability to the left of z = -0.32 from the cumulative probability to the left of z = -0.71:

Area = 0.3745 - 0.2389 = 0.1356

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The particular solution of the differential equation x2/y2 - 3 dy/dx = 1/2y satisfying the initial condition y(1) = 4 - √ is y = x2/4 + (1/4)√x - 1/4.

Step 1: Solve the differential equation to obtain the general solution. This can be done by re-arranging the equation to separate the y terms and then integrating to find the function y as a function of x.

Step 2: Use the initial condition to find the particular solution. Substitute the known value of x=1 and the value of y(1) into the general solution to determine the value of the constant of integration.

Step 3: Write down the particular solution in terms of x. Substitute the constant of integration into the general solution to obtain the particular solution in terms of x.

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Answer:

4044.32

Explanation:

6506.08 (total) - 2461.76 (top)=

4044.32 (lateral+top)

Formulae:

total = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

top= T= πr2

Answer:

under the figure 16in

Answers

Step-by-step explanation:

You add all of them

Answer: (1,-5)

Step-by-step explanation:it’s the answer

Answer:

x=5

Step-by-step explanation:

angle 1= 55

angle 2= 35

hope that helps

Answer:

65 passengers

At hour six, about 54 passengers will be on the boat.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Sum of X = 15

Sum of Y = 195

Mean X = 3

Mean Y = 39

The sum of squares (SSX) = 10

The sum of products (SP) = 50

Regression Equation = ŷ = bX + a

b = SP/SSX = 50/10 = 5

a = MY - bMX = 39 - (5*3) = 24

ŷ = 5X + 24

When x = 6,

we get ŷ = 5(6) + 24 = 54

Therefore, the approximate number of passengers is 54.

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Answer:

este no hablo inglés

The area of the monitor display in square meters is 0.1158, which is calculated by converting the width and height from inches to meters and then multiplying them.

To calculate the area of the monitor display in square meters, we need to convert the measurements from inches to meters.

First, let's convert the width:

15.51 inches = 0.3937 meters

Next, let's convert the height:

11.63 inches = 0.2946 meters

Now we can calculate the area:

Area = width x height

Area = 0.3937 meters x 0.2946 meters

Area = 0.1158 square meters

Therefore, the area of the monitor display in square meters is 0.1158.

The area of the monitor display can be calculated by multiplying the width and height of the monitor. However, as the given measurements are in inches, we need to convert them to meters to calculate the area in square meters. We converted the width to 0.3937 meters and the height to 0.2946 meters. Then, we calculated the area by multiplying the width and height, which gave us a result of 0.1158 square meters. Therefore, the area of the monitor display in square meters is 0.1158.

The area of the monitor display in square meters is 0.1158, which is calculated by converting the width and height from inches to meters and then multiplying them.

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In distributions that are skewed to the left, the mean is typically less than the median, which in turn is less than the mode.

This is because the left skewness pulls the tail towards the lower values, causing the mean to be dragged in that direction. The median, being the middle value, is less affected by extreme values and remains closer to the center.

The mode, representing the most frequently occurring value, is usually the highest point in the distribution and may not be impacted much by the skewness. Hence, the mean, median, and mode follow a decreasing order in left-skewed distributions.

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Answer:

5

Step-by-step explanation:

3 to the power of 0 is 1

Why? n to the power of 0 is 1 independent of n

2 to the power of 2 is 4

Why? 2 × 2 = 4

So it's 1 + 4 = 5

I hope this helps you :)

25 percent of $120 is $30 and yes, he has enough money to buy the music player.

A) Find 25% of $120:

To find 25% of $120, we divide $120 by 100 and then multiply by 25:

$120 / 100 * 25 = $30

So, 25% of $120 is $30.

B) Does Wyatt have enough:

To find the sale price of the music player, we need to apply the 24% discount:

$120 - $120 * 24% = $120 - $120 * 0.24 = $120 - $28.80 = $91.20

So, the music player will be sold for $91.20.

Wyatt has $95, so he has enough money to buy the music player.

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Answer:

8 / 47 = 0.17021276595 btw u can just use a calculator

After six years, the population will grow to 586,455 if compounded annually at a rate of 7.5%.

This is exactly like a compound interest problem where the interest rate is 7.5% compounded annually for 6 years.

If we use the compound interest formula A = P(1+r/n)nt where A is the end amount to be found, p = initial amount (p= 380,000), n = number of times the interest is compounded annually (n= 1) and t is the time in years (t=6)

A = 380,000(1 + .075/1)1(6)

A = 380,000(1.075)6

A = 586,454.58 people

Rounded to the nearest whole number

the population after 6 years should be

586,455 people

Hence we get the required answer.

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Your question is incomplete. Please find the missing content below.

A city has a population of 380,000 people. suppost that each year the population grows by 7.5%. what will be the population after 6 years.

Step-by-step explanation:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 (1)

And the equation that can be written that

8.25x + 10 = 175 (2)

So now we can write x = 20 hours

Answer:

y = 54.5x

Step-by-step explanation:

i divided y by x and 54.5 was the answer for all of them

Answer:

62

Step-by-step explanation:

119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62

i hope this helped!

Answer:

Step-by-step explanation:

2(3x + 1) < 20

6x + 2 < 20

6x < 18

x < 3

=====

4(x - 1) < 2

4x - 4 < 2

4x <  6

x < (6/4) or 1.5

Answer:

The Answer is -5 (negative five)

Answer:

Binomials are

(x-3)

(x-5)

(x+5)

Answer:

A) 6 x² - 7x - 20

Step-by-step explanation:

Explanation:-

Given p(x) = 2 x-5 and r (x) = 3 x +4

(pr)(x) = p(x) r(x)

         = (2x -5)( 3 x +4)

        = 2x(3x +4) -5( 3x +4)

       = 6 x² + 8x - 15 x - 20

       =  6 x² - 7x - 20

(pr)(x) = 6 x² - 7x - 20

Answer:

I don't understand your question

Answer:

6400l

Step-by-step explanation:

To convert kiloletre into litre, multiply by 1000.. £1 Kl = 1000 litres.

Answer: C. 3

Step-by-step explanation:

The square root of 40 is a decimal, and decimals are not integers.

-3.5 and 3.2 also have decimals, therefore are not integers.

Answer:

Step-by-step explanation:

To compute the magnitude of the cross product |u x v|, we need to know the values of u and v. However, you mentioned that u and v are unit vectors, which means their magnitudes are both equal to 1.

The magnitude of the cross product between two vectors u and v is given by |u x v| = |u| * |v| * sin(theta), where theta is the angle between the two vectors.

In this case, since u and v are unit vectors, their magnitudes are both equal to 1. Additionally, you mentioned that the angle between u and v is π/4.

Therefore, |u x v| = 1 * 1 * sin(π/4) = 1 * 1 * (√2/2) = √2/2.

Hence, the magnitude of the cross product |u x v| is equal to √2/2.

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