(q18) The average time to get your order at a restaurant is 15 minutes. What is probability that you will receive your order in the first 10 minutes?
Note:
where µ is the average value.

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)

Where:

[tex]p_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Progression rate.

[tex]n[/tex] - Index of the n-th element of the sequence.

[tex]p(n)[/tex] - n-th element of the series.

If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:

[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]

[tex]r = 4[/tex]

The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].

Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 1197[/tex]

And the next three terms of the sequence are:

n = 5

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 17[/tex]

n = 6

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 21[/tex]

n = 7

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 25[/tex]

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Answer:

I guess we have the table:

x     f(x)

-4      7

-2      5

0       3

2       1

4      - 1

To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:

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

let´s use the first two:

(-4,7) and (-2, 5)

Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1

Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:

(-4, 7) and (0,3)

S = (3 - 7)/(0 -(-4)) = -4/4 = -1

Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.

This means that the slope of this function is equal to zero.

This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1 i guess

Answer:

(A) seems to have the least amount of slope with a slope of -6, compred to all, its the least one.

Step-by-step explanation:

Follow slope formula

(y2-y1) / (x2-x1)

Or calculate using rise over run method

Answer:

56.52

Step-by-step explanation:

C = 2 x pi x r

r = 9

C = 2 x pi x r

multiply 2 by 9

C = 18 x pi

C = 56. 52

Answer: Sorry I don't know the answer but I recommend an app that will help you is called Mathpapa is really helpful and have helped me get A on test and homework

Step-by-step explanation: is htis one https://www.mathpapa.com/algebra-calculator.html

Answer:

Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35

Answer:

its not that i got it wrong

Step-by-step explanation:

Answer:

50m^2

Step-by-step explanation:

Answer: 70

Step-by-step explanation: if you look at it hard enough they both look the same, this is called a vertical angle, I'm down for more questions lol. you keep on getting on my fyp

Answer:

x > − 2

Step-by-step explanation:

If your motive was to solve for x thats your answer, if not good luck!

Answer:

I think it is the last answer.

Step-by-step explanation:

There can only be one vertex.

Answer:

postitive

Step-by-step explanation:

|-a| = a, a>0

Answer:

400 inches

Step-by-step explanation:

Area of all sides and add them

Answer : 6 fence posts. The best way to demonstrate the answer to students is to use the formula

Explanation: To install a 15-metre long fence, the posts are 3 metres apart, how many fence posts will you need?                         The best way to demonstrate the answer to students is to use the formula:                                                                                        Total number of posts = (Length of fence ÷ Distance between posts) + 1

Where;Length of the fence = 15 metres, Distance between posts = 3 metres

Total number of posts = (15 ÷ 3) + 1                                                                                                                                             Total number of posts = 5 + 1 = 6                                                                                                                                                                        Therefore, you will need 6 fence posts.

The best way to demonstrate the answer to students is to use the formula:      Total number of posts = (Length of fence ÷ Distance between posts) + 1

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Answer:

The students rented 3 small cars and 6 large cars.

Step-by-step explanation:

Since a group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip, and each small car can hold 4 people and each large car can hold 6 people, and the students rented twice as many large cars as small cars, which altogether can hold 48 people, to determine the number of small cars rented, X, and the number of large cars rented, Y, the following calculation must be performed:

4X + 6Y = 48

4x4 + 6x8 = 16 + 48 = 64

4x3 + 6x6 = 12 + 36 = 48

Thus, the students rented 3 small cars and 6 large cars.

Answer: x = 13

angel bge and angle agf are vertical meaning they’re equivalent

77 + 90 + x = 180 (180 because all of them added together are supplementary)

167 + x = 180

x = 13

Answer:

Step-by-step explanation:

X=13

Answer:

infinity

Step-by-step explanation:

This question seems extremely odd to me. I don't really even understand what's being asked.

As far as exponential functions go, it's missing an exponent for one. The dependent variable is missing. This essentially saying f(x) = -4 or y = -4. Which is fine, but is definitely not an exponential function and in a very odd and incomplete form to begin with.

Answer:

Look below.

Step-by-step explanation:

45. B

46. D

47. B

Answer:

45.A   46. Bike A    47.C

Step-by-step explanation:

Answer: just figure out how many 8s are in 36 then multiply that by 66 :):)

Step-by-step explanation:

The probability of P(X ≤ 2) is  0.0135

We have the information available from the question:

Binomial variable is X

the value of n = 5

and, the value of p = 0.4

We are given to compute the probability P(X [tex]\leq[/tex] 2) and round the answer to five decimal places.

The binomial distribution formula is given by:

[tex]P(X)=nCx(p)^x(1-q)^n^-^x[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)!x!}[/tex]

We have to find the probability:

P(X [tex]\leq[/tex] 2) = P(X=1) + P(X=2)

P(X = 1) = [tex]5C1(0.4)^1(1-0.4)^5^-^1[/tex] = 0.0026

P(X= 2) =[tex]5C2(0.4)^2(1-0.4)^5^-^2[/tex] = 0.0109

P(X [tex]\leq[/tex] 2) = P(X=1) + P(X=2)

P(X [tex]\leq[/tex] 2) = 0.0026 + 0.0109

P(X [tex]\leq[/tex] 2) =  0.0135

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Answer:

624.5 feet

Step-by-step explanation:

Calculation to determine how many feet from the boat is the parasailor

Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula

a²+b²=c²

First step is to plug in the formula by substituting the given value

500²+b²=800²

Second step is to evaluate the exponent

250,000+b²=640,000

Third step is to substract 250,000 from both side and simplify

250,000+b²-250,000=640,000-250,000

b²=390,000

Now let determine how many feet from the boat is the parasailor

Parasailor feet=√b²

Parasailor feet=√390,000

Parasailor feet=b=624.49

Parasailor feet=b=624.5 feet (Approximately)

Therefore how many feet from the boat is the parasailor will be 624.5 feet

Answer:

Step-by-step explanation:

Answer:

its 1 4/5  or 19/15

they are both the same

Step-by-step explanation:

so first you need to find the same common factor

A-10/15=9/15

then add 10/15 and 9/15 to find a

19/15-10/15=9/15

or

1 4/15-2/3=3/5

yw :)

Answer:[tex]2355.31\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of the cone is  [tex]d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm][/tex]

The height of the cone is  [tex]h=17\ cm[/tex]

The volume of a cone is  [tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3[/tex]

Thus, the volume of the cone is [tex]2355.31\ cm^3[/tex]

12 to 1

is the ratio :)

The given statement "When all the expected frequencies are equal the observed frequencies the calculated chi squared statistic equals zero." is true because chi-squared statistic will be zero in this case.

In a contingency table, the expected frequencies are calculated based on certain assumptions and can be different from the observed frequencies. The chi-squared statistic is used to determine whether there is a significant association between the variables in the contingency table.

When all the expected frequencies are equal to the observed frequencies, it means that there is a perfect match between the observed data and what would be expected under the assumption of independence.

In this case, the chi-squared statistic will be zero, indicating no discrepancy between the observed and expected frequencies.

This scenario is highly unlikely to occur in real-world data because observed frequencies typically deviate from the expected frequencies due to sampling variability or factors influencing the relationship between variables.

In most cases, the expected frequencies will differ from the observed frequencies, resulting in a non-zero chi-squared statistic, indicating a significant association or departure from independence between the variables.

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Step-by-step explanation:

[tex]180 - 130 = 50[/tex]