Assuming the binomial distribution is appropriate, if N = 12 and P = 0.60, the probability of getting exactly 11 P events is a. 0.0010 b. 0.0003 c. 0.0075 d. 0.0174

Answer:

That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.

Step-by-step explanation:

Answer:

reading  is easier  than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math  there for reading is easier than math

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the maximum possible error in the computation of z can be estimated by evaluating the expression K * 0.03⁴, where K is a constant specific to the function being approximated.

To estimate the maximum possible error, we can use the error propagation formula based on the Taylor series approximation. Since the first three terms of the Taylor series are used, the error term can be approximated by the fourth term of the series.

Let's assume the fourth term of the Taylor series is denoted by E. Then we have the inequality:

|E| ≤ K  max(|x - a|, |y - b|)⁴,

where K is a constant that depends on the function and the range of values for x and y.

Since the maximum absolute errors for x and y are given as 0.03 and 0.02 respectively, we can substitute these values into the inequality:

|E| ≤ K  max(0.03, 0.02)⁴,

Simplifying this expression, we find:

|E| ≤ K 0.03⁴.

Therefore, the maximum possible error in the computation of z can be estimated by evaluating the expression K * 0.03⁴, where K is a constant specific to the function being approximated.

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Out of a whole population, a sample is a small part which is considered for any survey.  

The population in this case would be all the one-bedroom apartments available for rent near the college.

The sample would be the listings that Greg is looking at in the local newspaper and on the internet site.

Sample: listings in a local newspaper and on an Internet site              

Population: all available apartments near the college          

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Answer:

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

Let's assume the volume of syrup is x, then we set up equation:

the area of the shaded region is 38.8575 square centimeter.

The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.

The formula to find the area of a sector = θ/360° ×πr²

ABCD is a rectangle with AB=9 cm and BC=18 cm.

O is the midpoint of BC. Then, BO= 9 cm

a) By Pythagoras theorem,

Now, OA²=AB²+BO²

OA²=9²+9²

AO=9√2 cm

b) We know that, tanθ=Opposite/Adjacent

tanθ=18/9√2

tanθ=√2

θ=54.73°

≈55°

c) The area of the shaded region = 55°/360° ×3.14×9²

= 38.8575 square centimeter

Therefore, the area of the shaded region is 38.8575 square centimeter.

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Answer:

25,600 and  33,113

Step-by-step explanation:

The computation of the number of students studied abroad in each country is shown below:

Let us assume second most popular host country be x

And the most popular be x + 7513

And, the total students is 58713

Now the equations are

x + x + 7513 = 58713

2x = 58713 - 7513

2x = 51,200

x = 25,600

So the number of students studied abroad is

= 25,600 + 7513

= 33,113

The values of csc W and cos W of the angle are:

csc W =  (√85)/2

cos W = 9/√85

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

since acute angle W has sin W = 2/√85 and sec W = (√85)/9.

Recall that: csc W = 1/sinW and sec W = 1/cos W.

Therefore, if sin W = 2/√85, csc W = (√85)/2

Also, if sec W = (√85)/9, cos W = 9/√85

Therefore, the values of csc W and cos W are (√85)/2 and 9/√85 respectively

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Answer:

11

Step-by-step explanation:

140 - 30 =110

110 ÷ 10 = 11

answer is 11 hours

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Hi!

I am not completely sure what you mean but if you are looking for the slope of a line here is the best way to find it.

Y=Mx+b

it look difficult but really it's quite easy and once you get it it's super memorable. Y will always be Y that doesn't change. The M is the slope of the line (don't let equations confuse you with different letters! the M might be different but it is always the letter next to x) and b is the y intercept (where the line crosses y). All you need to find the slope of a line is 3 points. I see here you have a graph. So what you do is count how much it's moving up each block on the graph. I would say your slope is about 1/3. Y is really easy! just find the point it crosses the y axis(horizontal axis or the one going up and down) for yours it's 0. So your answer is y=1/3x+0

The statement "you will be expected to know the antiderivatives of the six trigonometric functions for the final" is false because it is subjective and dependent on the specific requirements and expectations of your course or exam.

While it is true that knowledge of the antiderivatives of the six trigonometric functions (sine, cosine, tangent, cotangent, secant, and cosecant) can be beneficial in calculus and integration.

Whether or not you will be specifically expected to know them for your final exam depends on your course syllabus and the instructions provided by your instructor.

It is important to consult your course materials, syllabus, or instructor to determine the specific content that will be covered on your final exam.

This will ensure that you allocate your study time and focus on the relevant topics that will be assessed.

Therefore, the correct option is (b) false, as the expectation of knowing specific antiderivatives of trigonometric functions for the final exam is not universally applicable and may vary depending on the course and instructor.

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Answer:

Originally there were 2 liters.

Step-by-step explanation:

--

3/8 of the orange juice = 3/4 liter

1/8 of the orange juice = 3/4 ÷ 3

1/8 of the orange juice = 3/4 x 1/3

1/8 of the orange juice = 1/4 liter

Find 8/8, which is one whole.

1/8 of the orange juice = 1/4 liter

8/8 of the orange juice = 1/4 x 8

8/8 of the orange juice = 2 liters

There were originally 2 liters of orange juice in the container

Value of P(5) is 0.058 by probability.

What is a math illustration of probability?

Given that ,

p = 1 / 4 = 0.25

1 - p = 1 - 0.25 = 0.75

n = 10

Using binomial probability formula ,

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

(a) x = 5

P(X = 5) = ((10! / 5! (10 - 5)!) * 0.255 * (0.75)10 - 5

              =  ((10! / 5! (5)!) * 0.255 * (0.75)5

              =  0.058

P(5) = 0.058

(b)

P(X > 3) = 1 - P(X \leq 3)

= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= 1 - 0.776

= 0.224

P(ore than 3) = 0.224

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The complete question is-

Take another guess: A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places Part 1 of2 (a) Find P(5) P(5)- Part 2 of2 (b) Find P(More than 3) P(More than 3)

my answer is in the image above

Answer: I believe the correct answer is the last one but I’m not entirely sure, wait for someone else to answer.

Step-by-step explanation:

Answer:

third one

Step-by-step explanation:

point-slope form is y - y1 = m(x - x1)

plug in values  y -(-5) = 2/3(x - 4)

the double negative cancels out and becomes a positive

therefore y + 5 = 2/3(x - 4)

Standard deviation and median are less affected by extreme scores, while mode is not affected at all since it represents the most frequently occurring value.

The measure of variation affected most by a few extreme scores is the range, as it considers only the difference between the highest and lowest values in a dataset. However, the mean can also be influenced by extreme scores, causing it to deviate from the central tendency. Standard deviation and median are less affected by extreme scores, while the mode is not affected at all since it represents the most frequently occurring value.

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The measure of variation affected most by a few extreme scores is the range. The range is the difference between the

highest and lowest values in a data set. Extreme scores significantly increase the range, making it a sensitive measure

of variation.

The measure of variation that is affected most by a few extreme scores is the standard deviation.

The reason for this is that the standard deviation is calculated by taking the square root of the sum of squared

deviations from the mean, and the squared deviations from the mean are particularly sensitive to extreme scores.

On the other hand, the mode, range, median, and mean are less affected by a few extreme scores.

The mode is simply the most frequently occurring value in a dataset and is not affected by extreme scores.

The range is the difference between the highest and lowest values in a dataset and can be affected by extreme scores, but only to a limited extent.

The median is the middle value in a dataset, and it is also not affected by extreme scores unless they are extreme

enough to change the position of the middle value.

The mean is the average value in a dataset, and while it can be influenced by extreme scores, its effect is typically less

pronounced than on the standard deviation.

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Answer:

y=1/2x+4

Step-by-step explanation:

1 square down 2 square to the side you put that in a fraction 1/2 which is the gradient and the y-intercept is what passes through y which is 4

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

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The equation of an ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0) is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

As per the given data the ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

If the ellipse has its x-intercepts at points (4, 0) and (-4, 0) and y-intercepts at points (0, 9) and (0, -9), then it's symmetric across the y- axis and the x-axis.

The equation of an ellipse where the major axis 2a is greater than the minor 2b.

When 2b > 2a , then the equation becomes \($\frac{(y-h)^{2} }{b^{2} } + \frac{ (x-k)^{2} }{a^{2} } =1\)

Moreover h = 0 and k = 0 because the center is on the origin, so the equation becomes:

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Moreover,

a = 4

b = 9

The equation of the such ellipse is

\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Hence, the equation of the ellipse is

\($\frac{x^2}{4^2}+\frac{y^2}{9^2}=1\)

\($\frac{x^2}{16}+\frac{y^2}{81}=1$$\)

Therefore the equation of an ellipse is  \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).

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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).

Answer:

m = -1/3

Step-by-step explanation:

To get the slope of the line, we identify two points on the line and use the slope formula

We can have the points (-2,3) and (1,2)

We have the slope formula as;

m = (y2-y1)/(x2-x1)

m = (2-3)/(1 + 2) = -1/3

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

Answer:

\(\bigodot B.\:\: 31\sqrt 3\)

Step-by-step explanation:

Answer:

a, b, and d

Step-by-step explanation:

you can have the same output, but not the same input

Answer: a, b, d

Step-by-step explanation:

the x values (input values) CANNOT be the same in a set of coordinates; if they do have the same x values, then the are not a function.

both c and e have some of the same x values so they can't pass the vertical line test and therefore are not functions.

hope this helps!!

Answer:

4

Step-by-step explanation:

In 3 mintues the duck goes 12 kilometers. 12 divided by 3 is 4. I take 1 mintues to go 4 kilometers.

For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.

There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices

Monthly rental = $ 121.00

Monthly insurance= $56.00

So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177

The sell rate of pizza = $12.02/slice.

We have to determine the number of slices restaurant sell in a month to break even.

Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00

Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)

= 35.4

= 35 (rounded to whole number)

Hence, 35 slices must be sold for break even.

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