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Andrej [43]
3 years ago
7

Explain How to Use the Empirical Rule to Solve a

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Answer:

0.15%

Step-by-step explanation:

The mean is μ = 3500 and the standard deviation is σ = 500.

2500 is 2 standard deviations below the mean, which we can calculate by finding the z-score.

z = (x − μ) / σ

z = (2500 − 3500) / 500

z = -2

According to the empirical rule, 99.7% of a normal distribution is between -2 and +2 standard deviations.  Which means 0.3% is outside of that.  Since a normal distribution is symmetrical, half of that, or 0.15%, is less than 2 standard deviations.

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One batch of pancakes calls for 3/8 cup of wheat flour and 4/8 cups of white flour . How much flour is needed for three batches
MAXImum [283]

Answer:

1  1/8 cups of wheat flour

1  4/8 or 1  1/2 cups of white flour

if you add both cups together then 2  5/8 cups of flour

Step-by-step explanation:

3*3=9 so 9/8 -> 1  1/8 cups of wheat flour

4*3= 12 so 12/8 -> 1  4/8 or 1  1/2 cups of white flour

6 0
3 years ago
Whats the surface area of this prism plz help.Urgent
Sergio039 [100]

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

Step-by-step explanation:

8 0
3 years ago
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Can somebody help me with midpoints in geometry for 15 points?
Goryan [66]

I can help. I know a thing or two

8 0
4 years ago
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Given: y varies directly as x squared and inversely as z cubed. If y = 12 when x = 4 and z = 2, find x when y = 1.728 and z = 5.
Verizon [17]

Answer:

a

Step-by-step explanation:

given y varies directly as x² and inversely as z³ then the equation relating them is

y = \frac{kx^2}{z^3} ← k is the constant of variation

to find k use the condition y = 12 when x = 4 and z = 2 , then

12 = \frac{k(4)^2}{2^3} = \frac{16k}{8} ( multiply both sides by 8 )

96 = 16k ( divide both sides by 16 )

6 = k

y = \frac{6x^2}{z^3} ← equation of variation

when y = 1.728 and z = 5 , then

1.728 = \frac{6x^2}{5^3} = \frac{6x^2}{125} ( multiply both sides by 125 )

216 = 6x² ( divide both sides by 6 )

36 = x² ( take square root of both sides )

\sqrt{36} = x , that is

x = 6

7 0
2 years ago
Solve pls brainliest
love history [14]

Answer:

7/10 < 3/4

Step-by-step explanation:

7/10 = 14/20

3/4 = 15/20

7/10 < 3/4

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