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Alchen [17]
2 years ago
13

The time it takes to process phone orders in a small florist/gift shop is normally distributed with a mean of 6 minutes and a st

andard deviation of 3 minutes. What cutoff value would separate the 2.5% of orders that take the most time to process?
A) 4.76 minutes
B) 3.52 minutes
C) 10.01 minutes
D) 11.00 minutes
E) 12.00 minutes
Mathematics
1 answer:
Aleksandr [31]2 years ago
7 0
E) 12 minutes

A normal curve has approximately 95% of graph between mean - 2sd and mean + 2sd
So 95% of the times will be between 0 and 12 minutes. 6 - 2x3 to 6 + 2x3
2.5% will take over 12 minutes

Strangely 2.5% will also take less than 0 minutes to process which shows the normal curve is not perfect in this example.
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Will give brainliest answer
andrew-mc [135]

Answer:

A ≈ 12.57

Step-by-step explanation:

You have to take the formula: A = πr^2

1) Plug in what you know: A = π•2^2

2) π = 3.14 and 2^2 = 4

3) Multiply to get: 12.56637

4) Round

A ≈ 12.57

3 0
3 years ago
Determine the slope of the line 5x + 3y + 12 = 0 .
vazorg [7]
Put ur equation in y = mx + b form because the slope will be in the m position.

5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4

y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===
6 0
2 years ago
How do you tell if a line is parallel perpendicular or neither?
cluponka [151]
You can tell that a line is parallel if the lines can go on forever without crossing or intersecting. A line is perpendicular when the lines intersect at a right angle. If the slopes are either equal or negative reciprocals, they cannot be parallel or perpendicular.

Hope this helps you!
3 0
3 years ago
Can you help me with number 6? <br> Confused abit <br> Please
Sunny_sXe [5.5K]

You can see the three diagram attached. Each link is labeled with the probability: you have probability 1/6 that a six is rolled, and 5/6 that it is not rolled.


To answer the questions, find the path that brings you to the desired outcome, and multiply all the labels you meet.


First question:

To get three sixes, you have to choose the left path at each roll. The probability is always 1/6, so the answer is


\frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} = \frac{1}{6^3}


Second question:

To get no sixes, you have to choose the right path at each roll. The probability is always 5/6, so the answer is


\frac{5}{6} \times \frac{5}{6} \times \frac{5}{6} = \frac{5^3}{6^3}


Third question:

To get exactly one six, it can either be the first, second or third roll.


In all cases, you have to choose the left path once and the right path twice: left-right-right mean that you get the six in the first roll, right-left-right means that you get the six in the second roll, right-right-left means that you get the six in the third roll.


In every case, the left turn has probability 1/6, and the right turn has probability 5/6. The probability of each combination is thus


\frac{1}{6} \times \frac{5}{6} \times \frac{5}{6} = \frac{5^2}{6^3}


And since there are three of these combinations, The answer is


3\frac{5^2}{6^3}


Fourth question:

Since the question suggests to use what we already achieved, let's do it: having at least one six is the complementary event of having no sixes at all. If an event has probability p, its complementary has probability 1-p. So, since the probability of no sixes is known, the probability of at least one six is


1 - \frac{5^3}{6^3}

4 0
3 years ago
Question 3 of 10<br> Subtract these polynomials.<br> (6x²-x+ 8) - (x² + 2) =
Julli [10]

Answer:

5 {x}^{2}  - x + 6

Step-by-step explanation:

The solution is in the image

5 0
2 years ago
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