Convert 59 degrees in Fahrenheit to Celsius temperature using the formula . 27°C 15°C 12°C 8°C

The probability of 16 or more books being sold on a given day is 0.22 or 22%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The table gives the probability distribution of the number of books sold in a day at a bookstore.

The missing probability will be

We know that the sum of all the outcomes must be one.

0.110 + 0.206 + 0.464 + 0.201 + x = 1

On solving, we have

x = 0.019

The number of books sold in a day                 Probability

                         0-5                                                0.110

                         6-10                                              0.206

                        11-15                                               0.464

                       16-20                                              0.201

                       20-25                                              0.019

The probability of 16 or more books being sold on a given day will be

[tex]\rm P(x \geq 16) = 0.201 + 0.019 = 0.22[/tex]

The probability of 16 or more books being sold on a given day is 0.22 or 22%.

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i just tried to solve this everyway i know possible when you get the answer lmk please.

Answer:cross multiply to solve

100x = 50*78

x = 50*78/100

x = 39 points needed to score a 78%

Step-by-step explanation:hope this helps:D

The circumference of the circle.

A. r = 3 m, C = 18.84 m

B. r = 18.84 m, C = 118,315 m

C. r = 6 m, C = 37.68 m

D. r = 28.26 m, C = 177,473 m

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

Whereas circumference formula

C = 2. π. r

π = 3.14

r = radius

In the question is known radius as follows:

then

C = 2.3.14. 3

C = 18.84 m

C = 2.3.14. 18.84

C = 118,315 m

C = 2.3.14. 6

C = 37.68 m

C = 2.3.14. 28.26

C = 177,473 m

The formula of the circumference

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the circumference of a circle with an area of 254.47 square inches

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Keywords : the circumference

, circle, center point

The number of different ways in which the letter of “PERSONNEL” can be arranged is [tex]\boxed{\bf 90,720}[/tex].

Further explanation:  

A permutation is an arrangement of objects in their order in which we find number of ways that can occur in a period of time.

If all the letters are different then the number of arrangement can be written as follows:

[tex]\boxed{\begin{aligned}P(n)&=n!\\&=n\cdot (n-1)\cdot (n-2)...2\cdot 1\end{aligned}}[/tex]  

The number of different permutation can be calculated as follows:

[tex]\boxed{p(n)=\dfrac{n(n-1)(n-2)...2\cdot 1}{n_{1}!\cdot n_{2}!}}[/tex]

Here, [tex]n_{1}[/tex] and [tex]n_{2}[/tex] are the different kind of object such that [tex]n_{1}+n_{2}+n_{3}+\cdot \cdot+n_{k}=n[/tex].

Given:

The given word is “PERSONNEL”.

Calculation:

Step 1:

First consider that all the letters are different i.e, repetition of letter is allowed.

The given word “PERSONNEL” has [tex]9[/tex] letters.

Therefore, the number of ways for arranging nine letters can be calculated as follows:

[tex]\begin{aligned}P(9)&=9\cdot (9-1)\cdot (9-2)\cdot \cdot 2\cdot 1\\&=9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot3 \cdot 2\cdot 1\\&=362,880\end{aligned}[/tex]  

Therefore, the different arrangements of the given word is [tex]362,880[/tex].

Step 2:

Since, the letter N and E is repeated two times in given word “PERSONNEL” then the half of the arrangement is repeated of these two letters.

Use the formula for finding the number of distinguishable permutation. It can be calculated as follows:

[tex]\begin{aligned}\text{Number of permutation}&=\dfrac{362880}{2!\cdot 2!}\\&=\drac{362880}{4}\\&=90,720\end{aligned}[/tex]

The number of different ways that the letter of “PERSONNEL” can be arranged is [tex]90,720[/tex].

Thus, the number of different ways that the letter of “PERSONNEL” can be arranged is [tex]\boxed{\bf 90,720}[/tex].

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Permutation

Keywords: Permutation, combination, personnel, counting, arrangement, different ways, order, letters, different ways, repetition, arranged objects, distinguishable permutation, counting problem.

The number of different ways to arrange the letters of 'personnel' is calculated using combinatorics and permutation formulas, resulting in 151,200 unique arrangements.

To find the number of different ways to arrange the letters of the word "personnel", we must use the principles of combinatorics and permutations.

The word 'personnel' consists of 9 letters with repetitions: there are three E's, two N's, one P, one S, one O, and one L. To count the number of unique arrangements, we start with the total factorial of all letters, which is 9!, but then we need to account for repeated letters by dividing by the factorials of the frequency of each repeating letter.

This results in the following permutation formula:

N! / (n1!)n2!...nk!

Where N is the total number of letters, and n1, n2, ..., nk are the number of times each unique letter is repeated.

So for 'personnel': 9! / (3!)(2!) = 151,200

There are therefore 151,200 unique ways to arrange the letters in 'personnel'.

Answer:

The CORRECT answer is 660 sq inches

Step-by-step explanation:

A statistic is said to be resistant if it isn't significantly affected by outliers or extreme values in the data. It remains relatively stable when extreme values are added or removed from the dataset.

In statistics, when a statistic is described as resistant, it is typically referring to its ability not to be affected by outliers or extreme values (very large or small) in a dataset. In other words, a resistant statistic is relatively stable and does not change dramatically if an extreme value is added to, or removed from, the dataset. So, the correct answer is: a. extreme values (very large or small) relative to the data do not affect its value substantially.

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The General Equation of Parabola having vertex at (0,0) and Focus(a,0) and (0,a) is

[tex]y^{2}= 4ax[/tex] or [tex]x^2 =4ay[/tex]

Now ,the Given equation of parabola having vertex at (0,3) is

x^2=y-3

It is 3 unit above y axis. So the parabola will open in the upward direction.

Out of all the options provided which are

1.y = (x - 3) ^2

2.y = (x + 3) ^2

3.y = x ^2 - 3

4.y = x^ 2 + 3

Option 4. y = x^ 2 + 3 is correct.

Answer:

y = x^ 2 + 3

Step-by-step explanation:

Answer:

y=x+0.10

Step-by-step explanation:

Answer:

y = 2x - 11

Step-by-step explanation:

We are given that a line has a slope of 2 and passes through the point (4, -3).

As the question doesn't specify, we can write the equation of the line in any format.

There are 3 ways to write the equation of the line. They are:

Although while all of these choices are valid, let's write the equation in slope-intercept form, as that is the most common way to write the equation of the line.

As we are already given the slope of the line, we can immediately plug it into the equation as m.

Replace m with 2.

y = 2x + b

Now we need to find b.

As the line contains the point (4, -3), we can use its values to help solve for b.

Substitute 4 as x and -3 as y.

-3 = 2(4) + b

Multiply.

-3 = 8 + b

Subtract 8 from both sides.

-11 = b

Substitute -11 as b in the equation.

y = 2x - 11

Topic: finding the equation of the line

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Answer:

-219.1% decrease

Step-by-step explanation:

.94-3.00=-2.06

-2.06/.94=-2.191

-2.191*100=-219.1 decrease

Given:

Anton must pay a co-pay of $30 for an office visit.

His insurance company will then pay 85% of the cost of the visit.

Office visit costs $270

Solution:

[tex] co-pay \; =\; \$30 [/tex]

[tex] Insurance \; Company \; pay = 85\% \; of\; 270 = \frac{85}{100} \cdot 270 = \frac{22950}{100}=\$ 22950\\ \\ Anton \; Pay\; remaining \; of\; what\; Insurance\; Company\; pay.\\ \\ So, \; Anton \; Pay = \$270 - \$229.50=\$40.5\\ \\ [/tex]

Conclusion:

Anton totally Pay = Remaining amount for office visit + Co-pay for office visit

[tex] Anton \; pay \; for\; an \; office \; visit \; that\; costs \; \$270\; = \; \$30 \; + \; \$40.5\; =\; \$70.5 [/tex]

The only statement that is true as regards the graph of f ′(x) is;

C:  f is decreasing on the interval from x = 1 to x = 2

Now, f'(x) is simply the derivative of f(x) and the derivative of f(x) is defined as the slope.

In contrast the graph is increasing when the x-intercepts of the slope is negative.

Let us look at the options;

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The answer is D: 13.1 miles

Final answer:

The percent of voter turnout in this election was 61.1%.

Explanation:

Voter turnout refers to the percentage of eligible voters who cast a ballot in an election.

To calculate the percent of voter turn-out, you need to divide the number of people who cast their vote by the total number of eligible voters, then multiply by 100 to get the percentage.

Number of people who cast their vote: 8,206

Total number of eligible voters: 13,426

To calculate the percent of voter turnout we use the following formula:

Divide the number of people who voted by the number of eligible voters.

Multiply the result by 100 to get a percentage.

= (8,206 / 13,426) × 100

= 0.611 × 100

= 61.1%

Therefore, the percent of voter turnout in this election was 61.1%.

-41r+16

Answer:

Step-by-step explanation:

Answer:

Median = 48.

Step-by-step explanation:

Given  : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.

To find :  what is the median value.

Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.

Step (1) : Arrange in ascending order

32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.

Total numbers =  14 ,

Formula of median for even numbers : [tex](\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}  \\Mean\ of\ (\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}\ term\ is\ the\ median[/tex].

Here , n = 14

Step (2):  [tex](\frac{14}{2})^{th} ,(\frac{14}{2}+1)^{th}[/tex]

[tex](7^{th} ,(8)^{th}[/tex] terms are 48 , 48

Step (3) :Mean of  [tex](7^{th} ,(8)^{th}[/tex] =  [tex](\frac{48+48}{2})[/tex] .

Median = 48.

Therefore, Median = 48.