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Dovator
17 days ago
9

A regulation baseball can weigh no more than 149 grams. A factory produces baseballs with weights that are normally distributed

with a mean of 146 grams and a standard deviation of 2.3 grams. (a) If a baseball produced by the factory is randomly selected, what is the probability that it is within regulation weight? (b) The baseballs are shipped in boxes of 16. What is the probability that at least 15 of the 16 baseballs in a pack are within regulation weight? (c) The factory will not ship a box of 16 if the average weight of the baseballs in the box exceeds 147 grams. What is the probability that a pack of 16 baseballs would have an average weight of more than 147 grams?
Mathematics
1 answer:
tester [8.8K]17 days ago
5 0

90.32% likelihood that it meets weight regulations.

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Three workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners, Mary packs 25% of the
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7 days ago
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14. Marian wants to buy a double scoop of ice cream. The ice cream shop has 23 flavours, which can be served in a regular cone,
lawyer [9240]

Answer:

Marian is able to choose from 1,771 different combinations

Step-by-step explanation:

In tackling this question, we are focused on determining how many combinations Marian can select, considering there are 23 flavors available, each of which can be served in one of three options.

To figure this out mathematically, the total number of combinations is represented as 23C3

Calculating this gives us 23!/(23-3)!3! = 23!/20!3! = 1,771

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3 0
2 days ago
∠A and ∠C are right angles. m∠p = _???_ degrees.
Svet_ta [9518]

Solution

To find the angle m∠p.

Method of proof

In triangle ΔDAB, which is a right triangle

Applying the Pythagorean theorem gives us

Hypotenuse² = Perpendicular² + Base²

DB² = AB² + AD²

Where AB = 5 units

AD = 6 units

Substituting in the formula outcomes in

DB² = 5² + 6²

      = 25 + 36

     = 61

DB = \sqrt{61}\ units

           = approximately 7.8 units

The triangle ΔDCB is also right-angled.

Using the trigonometric identity here.

cosp = \frac{Base}{Hypotenuse}

cosp = \frac{DC}{DB}

Given that DC = 4 units and DB ≈ 7.8 units,

Substituting these values into the trigonometric identity gives us.

cos p = \frac{4}{7.8}

\angle p = cos^{-1}(\frac{4}{7.8})

Thus, we find that ∠p ≈ 59.15 °

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16 days ago
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