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RUDIKE [14]
3 years ago
6

The sides of ABC are 30 units, 40 units, and 60 units in length. If the corresponding sides of XYZ are r times as long as the si

des of ABC, which expression gives the perimeter of XYZ? 130r 3 x 130r
Mathematics
1 answer:
Inga [223]3 years ago
4 0
Since each side is r times the side of ABC, then 30*r+40*r+60*r is the perimeter, which equals 130r (by separating it into r*(30+40+60) using the distributive property)
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Problem PageQuestion Calcium levels in people are normally distributed with a mean of mg/dL and a standard deviation of mg/dL. I
SIZIF [17.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  calcium level that is the borderline between low calcium levels and those not considered low is  c = 8.68

Step-by-step explanation:

From the question we are told that

    The mean is  \mu =  9.5\  mg/dL

     The standard deviation \sigma =  0.5 \ mg/dL

    The proportion of the population with low calcium level is  p =5% = 0.05

Let X be a X random calcium level

  Now the  P(X < c) = 0.05

Here P denotes probability

        c is population with calcium level at the borderline

  Since the calcium level is normally distributed the z-value is  evaluated as

    P(Z < \frac{c - \mu}{\sigma } ) = 0.05

The critical value for 0.05 from the standard normal distribution table is

       t_{0.05} = -1.645

=>    \frac{c - \mu}{\sigma }  =  -1.645

substituting values

       \frac{c - 9.5}{0.5 }  =  -1.645

=>    c - 9.5 =  -0.8225

=>     c = 8.68

 

6 0
3 years ago
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Step-by-step explanation:

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2 years ago
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Serggg [28]

Answer:

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3 years ago
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