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emmasim [6.3K]
3 years ago
9

Can some help me with for 100%

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
3 0

Answer:

188.4954 cm^2

Flura [38]3 years ago
3 0
188.4954 hope this helps
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Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equa
Sindrei [870]

Answer:

0.7698

Step-by-step explanation:

If you call your random variable X, then what you are looking for is

P(87 \leq X \leq 123)

because you want the probability of X being <em>between 87 and 123.</em>

We need a table with of the normal distribution. But we can only find the table with \mu = 0 and \sigma = 1. Because of that, first we need to  <em>normalize </em>our random variable:

Z = \frac{X - \mu}{\sigma} = \frac{X - 105}{15}

(you can always normalize your variable following the same formula!)

now we can do something similar to our limits, to get a better expression:

\frac{87 - 105}{15} = \frac{-18}{15} = -1.2

\frac{123 - 105}{15} = \frac{18}{15} = 1.2

And we transform our problem to a simpler one:

P(87 \leq X \leq 123) = P(-1.2 \leq Z \leq 1.2) = P(Z \leq 1.2) - P(Z \leq -1.2)

(see Figure 1)

From our table we can see that P(Z \leq 1.2) = 0.8849 (this is represented in figure 2).

Remember that the whole area below the curve is exactly 1. So we can conclude that  P(Z \geq 1.2) = 0.1151 (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then

P(Z \leq -1.2)= P(Z \geq 1.2) = 0.1151.

FINALLY:

P(Z \leq 1.2) - P(Z \leq -1.2) = 0.8849 - 0.1151 = 0.7698

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3 years ago
multiply negative 1 over 6 multiplied by negative 1 over 5. negative 1 over 11 negative 1 over 30 1 over 30 1 over 11
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-1/6 x (-1/5) = 1/30
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68 is a composite number
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I can't think of what the form is called, but the slope is in that equation.

y=mx+b

m is the slope and in that equation, m=-4/3

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