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tekilochka [14]
2 years ago
5

Select all that applyThe measure of an angle formed by two secants intersecting outside the circle equals

Mathematics
1 answer:
never [62]2 years ago
4 0
Equals : the larger arc formed by secants minus the shorter one  and divided by 2
Actually that angle is called exterior angle of the circle.
 For ex the larger arc is x , the shorter one is y, so the formula will be :  (x-y)/2
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Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

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Li-Ming owns an ice cream shop. On Saturday evening from 6:00 PM to 7:00 PM, 80 people entered her shop. On Tuesday from 3:00 PM
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0.7875 = 78.75%

There was a 78.75% decrease from Saturday to Tuesday.
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