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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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The resting heart rate of an adult is usually about 60 beats per minute. Use your completed table to find approximately how many
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3 years ago
Solve the following system of equations. What is one x-value of a solution?
gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

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x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

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x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}

x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}

x = \frac{-36 \pm 33.11}{2}

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x_2 = \frac{-36 - 33.11}{2}

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3 years ago
If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course
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x/25 = 80/100

We have to cross multiply.  Meaning, we will multiply the numerator of one fraction by the denominator of the other fraction. Therefore,

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x = 20

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