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oksano4ka [1.4K]
3 years ago
14

According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall wi

thin two standard deviations around the mean.
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

95%

Step-by-step explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

ii) 95% falls within two standard deviation

iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.

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C = k - 273.15 (a) Write two other related equations . (b) If the temperature is 23 in degrees Celsius , what is the temperature
Alona [7]

Answer:

(a) k = C + 273.15, F = 1.8(k - 273.15) + 32

(b) k = 296.15

(c) 25 celcius is greater than 300 kelvis.

Step-by-step explanation:

(a) one equation would be to solve for k instead of c, and another related equation could be from kelvin to Farenheit.

C = k - 273.15

C + 273.15 = k

k = C + 273.15

F = 1.8(k - 273.15) + 32

(b) for this one you have to substitute in the previous equation and solve for k.

23 = k - 273.15

k = 23 + 273.15

k = 296.15

(c) you have to convert either kelvins to celcius or celcius to kelvins.

C = k - 273.15

C = 300 - 273.15

C = 26.85

So 25 celcius is greater than 300 kelvis.

5 0
3 years ago
If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?
sergij07 [2.7K]

Answer:

4

Step-by-step explanation:

From the chioces give it would be 4

But it is actually 8

8 0
2 years ago
as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts including $3.99 shippi
nirvana33 [79]

Answer: The answer would be

D - 12.25x + 3.99 = 77.49

Step-by-step explanation:

If each shirt costs $12.25, that would be 12.25 times “x” amount of shirts. Then, you add the $3.99 shipping amount. Which all equals 77.49.

8 0
3 years ago
Read 2 more answers
What is the value of x in trapezoid ABCD? x=15 x=20 x=45 x=60
zvonat [6]

Answer:

A. <u><em>X = 15</em></u> is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :)

6 0
3 years ago
Read 2 more answers
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