Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X=3), n=8, p=0.2

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.

A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.

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Answer: 42 easy!

Step-by-step explanation: 42 hope this helps

Answer:

4.7 Pounds

Step-by-step explanation:

[tex]14 \div 3≈4.6[/tex]

(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

Answer:

80

Step-by-step explanation:

10x7=70

2x5=10

70+10=80

Answer:

dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down

Step-by-step explanation:

The sides of the △ HIJ are:

IH = 6

IJ = 3

Applying the scale factor we obtain the sides of △ H'I'J '.

The scale factor is k = 1/3.

Therefore, we have:

I'H '= 2

I'J '= 1

Then, we move the △ H'I'J 2 units down.

Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.

The corresponding example of the word can be matched as follows:

Population : All the people in the marketing company region.

In statistics, a population is a group of individuals from which are subject to study.

Sample: The 380 randomly selected people who are observed to see if they will buy the product.

A sample represents the group of interest from a population, this group represent the data.

Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.

Data: The list of the 380 Yes or No answers to whether the person bought the product.

Data are the figures that are collected, analysed, and summarized for interpretation.

Parameter: The proportion of all people in the company's region who buy the product

Statistics: The proportion of the 380 observed people who buy the product

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The codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]

The equation of the function is given as:

[tex]g(x) = 2x^2 + 4x - 1[/tex]

The above function is a quadratic function and it has the following features:

Domain = [tex](-\infty, \infty)[/tex]

Range: [tex][-3, \infty)[/tex]

When the range and the domain are combined, we have:

[tex][-3, \infty)\ and\ (-\infty, \infty)[/tex]

This gives

[tex][-3, \infty[[/tex]

Hence, the codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]

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Answer:

A.

Step-by-step explanation:

Mainly because i dont see ZG ZD on the figure.

Answer:

The first answer is Correct answer ZG ZD

Problem 8

The box portion of the shed (ignoring the triangular roof) has a volume of:

length*width*height = 10*8*6.5 = 520 cubic feet

The triangular face on the right side has an area of base*height/2 = 8*2.5/2 = 10. Multiply this with the depth of the triangular prism and we get a volume of 10*10 = 100 cubic feet.

The two sub-volumes combine to 520+100 = 620

===========================================================

Problem 9

Let's find the area of the base

area = side*side = (4.2)*(4.2) = 17.64 sq inches

Then we plug that into the formula below, along with the height of the pyramid

V = volume of a pyramid

V = (1/3)*(area of the base)*(height)

V = (1/3)*(17.64)*(5)

V = 29.4

Your teacher made a typo. She or he should have written [tex]\text{in}^3[/tex] instead of [tex]\text{in}^2[/tex]

Answer:

Okay so you basically need to break this shape into sensible pieces. Such as rectangular and triangular prisms.

first let's find the rectangular prisms' volume, we need to multiply 6.5 with 10 and 8.

6.5×10×8 gives us 520

520 is the volume of the rectangular prism (below the shape)

to find the triangular prism's volume follow these steps:

2.5×8×10×1/2 which gives us 100

now we need to take the sum of these

100+520=620

the answer is C good luck!

Answer:

the answer is 1

Step-by-step explanation:

you can type it in your scientific calculator and the answer will be 1

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

Answer:

94

Step-by-step explanation:

Equating the mean to the scores :

So

Let that be n

Answer:

-4 < x < -2

Step-by-step explanation:

Taking the left part of the inequality :

Taking the right part of the inequality :

Solution :

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

The best selling price is defined as if the profit is more than the amount is known as the best selling price.

Your friend wants to sell his car (Toyota SUV).

Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000.

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

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Answer:

volume = length^3

3375= length^3

therefore length = 15 units

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

Answers:

====================================================

Explanations:

Given expression:

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   [tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]

   [tex]\implies \dfrac{[8 - 6]}{10}[/tex]

   [tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]

When 2/10 is simplified in lowest terms, we get;

   [tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]

Therefore, 0.8 - 0.6 in fraction form is 1/5.

Answer:

34.1 %

Step-by-step explanation:

One standard deviation below the mean to the mean covers approx  34.1 %

Answer:

Graph 2

Step-by-step explanation:

We are given the inequality x≤2

First off, with the inequality sign being ≤ rather than <, we know that 2 is also included. This means that x can be equal to 2 or less than 2.

Since 2 is included, we know we are looking for a solid line.

That said, we can eliminate the 1st and 4th graphs because there is a dotted line at 2, meaning that 2 is not included.

Next, based on the inequality sign, we know that values less than 2 satisfy it. So judging by the shaded region on each graph, we see that Graph 2 is the one that satisfies it.

For clarity's sake, one trick you can use is thinking of the inequality sign as an arrow. If it points left, values toward the left should be shaded and vice versa.

Lastly, I'll give you the inequality for each graph.

Graph 1: x<2

Graph 2: x≤2

Graph 3: x≥2

Graph 4: x>2

Hope that helps, let me know if you have any questions!

4 total numbers, 2 are odd

probability of getting odd = 2/4 = 0.50 =50%

Answer: 50%

[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]

Answer:

Step-by-step explanation:

Answer:

0.70

Step-by-step explanation:

it’s 0.70 because the 0.675 is rounded

The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.

Answer:

0.70

Consider the rounding rule for each place.

6 ≈ next tenths

7 ≈ next tenths

5 ≈ next tenths

This is because...

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.