Assume the random variable x is normally distributed with mean u = 88 and standard deviation o = 5. Find the indicated probability.
P(
x86)
P(x < 86) =
(Round to four decimal places as needed.)

The dot plot consists of ten dots, each representing the data value of a single person at the talk. The data values are spread out as far as possible, resulting in the largest possible standard deviation.

A dot plot is a graph that is used to represent the distribution of data. It consists of dots, each of which represents a single data value. In this case, the dot plot represents the distribution of possible data values from a talk with ten people. To achieve the largest possible standard deviation, the data points should be spread out as far as possible. Each dot should be placed on the graph in such a way that the difference between any two adjacent data points is maximized. This is done by placing the highest and lowest values at opposite ends of the graph, and then evenly spacing out the remaining data points in between. All of this should result in the largest possible standard deviation of the data set.

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Answer:

You are correct

Step-by-step explanation:

Answer: yes, you are correct :)

Step-by-step explanation:

Answer:

The answer is

\( \frac{6}{11} \)

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=opposite/2\(\sqrt{3\)

opposite=2\(\sqrt{3\) /2

opposite=\(\sqrt{3\)

Answer:

√3

Step-by-step explanation:

let length of side opposite 30⁰ be x

sin 30= x/ (2√3)

½=x/(2√3)

cross multiply

2x=2√3

x=√3

length opposite 30⁰= √3

Answer:

No solution

Step-by-step explanation:

5(x + 4) – x = 4(x + 5) – 1

x = ?

Solution:

5(x+4)−x=4(x+5)−1

Apply Distributive property:

Combine Like Terms:

Subtract 4x from both sides:

Subtract 20 from both sides:

There isn't any solutions.

Given:

The piecewise function is:

\(f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}\)

To find:

The values of \(f(-3),f(0), f(-1)\).

Solution:

In the given piecewise function,

\(f(x)=9x\) for \(x<-1\) and \(f(x)=x-4\) for \(x\geq -1\).

Putting \(x=-3\) in \(f(x)=9x\), we get

\(f(-3)=9(-3)\)

\(f(-3)=27\)

Putting \(x=0\) in \(f(x)=x-4\), we get

\(f(0)=0-4\)

\(f(0)=-4\)

Putting \(x=-1\) in \(f(x)=x-4\), we get

\(f(-1)=-1-4\)

\(f(-1)=-5\)

The required values are \(f(-3)=27,f(0)=-4,f(-1)=-5\).

Therefore, the correct option is D.

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

The Sample Size Need To be at least 114

Step-by-step explanation:

According to the Question,

The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.

α/2 = 0.01/2 ⇒ 0.005

Hence, the sample size n can be found as

n = {\(\frac{(Z_{alpha/2} * Standard Deviation)}{E}\)}²

n = {2.58 × 6.2}² / 1.5²

n = 113.72 .

So, The Sample Size Need To be at least 114.

Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative

Answer:

15 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

11x - 6 + 15x - 8 = 90

26x - 14 = 90

26x = 104

x = 4

11(4) - 6 = 44 - 6 = 38

13y - 14 + 38= 180

13y + 24 = 180

13y = 156

y = 12

13(12) - 14 = 156 - 14=142

Answer:

a

Step-by-step explanation:

Answer:

0.443 hours

Step-by-step explanation:

time = total distance / mph

time = 50 / 112.9094

time ≈ 0.443 hours

Answer:

0.443 hours

Explanation:

Given following:

Formula:

\(\sf time \ taken = \dfrac{distance}{speed}\)

Substitute values to find time taken:

\(\sf \rightarrow time = \dfrac{50}{112.9094 }\)

evaluate

\(\sf \rightarrow time = 0.4428329262\)

rounded to nearest thousandth

\(\sf \rightarrow time = 0.443\)

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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Answer:

6x^2+4xy

Step-by-step explanation:

You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)

6x^2+4xy

hopes this helps please mark brainliest

Given:

Consider the given expression is

\((4x^3y^2)^{\frac{3}{10}}\)

To find:

The radical form of given expression.

Solution:

We have,

\((4x^3y^2)^{\frac{3}{10}}=(2^2)^{\frac{3}{10}}(x^3)^{\frac{3}{10}}(y^2)^{\frac{3}{10}}\)

\((4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{6}{10}}(x)^{\frac{9}{10}}(y)^{\frac{6}{10}}\)

\((4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}(x)^{\frac{9}{10}}(y)^{\frac{3}{5}}\)

\((4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{2^3}\sqrt[10]{x^9}\sqrt[5]{y^3}\)       \([\because x^{\frac{1}{n}}=\sqrt[n]{x}]\)

\((4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\sqrt[10]{x^9}\)       \([\because x^{\frac{1}{n}}=\sqrt[n]{x}]\)

Therefore, the required radical form is \(\sqrt[5]{8y^3}\sqrt[10]{x^9}\).

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

C

Step-by-step explanation:

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Answer:

C

Step-by-step explanation:

We want to integrate:

\(\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx\)

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

\(u=4x^5+15x+2\)

By differentiating both sides with respect to x:

\(\displaystyle \frac{du}{dx}=20x^4+15\)

We can "multiply" both sides by dx:

\(du=20x^4+15\,dx\)

And divide both sides by 5:

\(\displaystyle \frac{1}{5}\, du=4x^4+3\,dx\)

Rewriting our original integral yields:

\(\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)\)

Substitute:

\(\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)\)

Simplify:

\(\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du\)

This is a common integral:

\(\displaystyle =\frac{1}{5}\ln|u|\)

Back-substitute. Of course, we need the constant of integration:

\(\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C\)

Our answer is C.

Answer:

2nd table

Step-by-step explanation:

Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

Answer:

Side of the given equilateral triangle = a

Perimeter of the given equilateral triangle = p

Three times side a = 3

×

a = 3a

Since the perimeter of an equilateral triangle is three times its side length, we can write it as p = 3a.

Step-by-step explanation:

Hii☺❤✌

Can we be flends✌

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving and the other being Comprehending. I'll start off with comprehending.

Comprehending

So, we know that 10% of a number is $16. That means that \(\frac{1}{10}\) of the number "\(x\)" is equal to $16.

A percentage is basically a fraction of something, for example, 25% of a number would be \(\frac{1}{4}\) of the same number.

Example:

25% of 10 = \(\frac{1}{4} * 10 = 2.5\)

2.5 is 25% of 10 = \(2.5 \div \frac{1}{4}=10\)

Now that we know the basics, we can do the real solving.

Solving

To solve, the question, we can first read the problem and make an equation,

"10% of \(x\) is 16."

We can then make a equation.

\(x(\frac{1}{10})=16\)

\(x=16 \div \frac{1}{10} \\x=160\)

After solving, we know that 10% of 160 is equal to 16. We can prove that with the following:

\(16*10=160\)

After solving our equation, we can see that the answer is $160.

$16 is 10% of $160.

Cheers!

The probability of picking a 7 and then picking a 7 is 8.33%.

Since we are not replacing the first card before drawing the second one, the probability of drawing a 7 on the first card is 1/4. After drawing the first card, there are three remaining cards, and only one of them is a 7. Therefore, the probability of drawing a 7 on the second card given that the first card was a 7 is 1/3.

Using the multiplication rule of probability, the probability of drawing a 7 on the first card and then drawing a 7 on the second card without replacement is

P(7 on the first card) x P(7 on the second card | 7 on the first card) = (1/4) x (1/3) = 1/12

P(7 on the first card and then a 7 on the second card) = 1/12 x 100% = 8.33%

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Answer:

Sjjsjsdjjdjsjshsskeidbndxkxuxhsnsndhdhsksms

Answer:

Shade 6

Step-by-step explanation:

There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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