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Elena L [17]
4 years ago
5

Help me please with explanation

Mathematics
1 answer:
8_murik_8 [283]4 years ago
7 0

Step-by-step explanation:

angle AOB = x+3

angle AOC = 2x + 11

angle BOC = 4x-7

angle AOC = angle AOB + angle BOC

=> 2x +11 = (x+3) + (4x-7)

2x +11 = 5x - 4

=> 3x = 15

x = 5

subst x = 5 in the given formulas

angle AOB = x +3 =8

angle AOC = 2x + 11 = 21

angle BOC = 4x - 7 = 13

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Answer:

Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

Step-by-step explanation:

We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.

Let X = <u><em>amount a Niffler can hold in their pouch</em></u>

So, X ~ Normal(\mu=25,\sigma^{2} =6.8^{2})

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

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

where, \mu = population mean = 25 pounds

            \sigma = standard deviation = 6.8 pounds

Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)

  P(X > 32 pounds) = P( \frac{X-\mu}{\sigma} > \frac{32-25}{6.8} ) = P(Z > 1.03) = 1 - P(Z \leq 1.03)

                                                             = 1 - 0.8485 = 0.1515

<em>The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.</em>

<em />

Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

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