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DerKrebs
5 days ago
5

A constant of proportionality can also be considered a(n)

Mathematics
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A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was
PIT_PIT [12445]

Answer:

Option C: 0.28

Detailed explanation:

This situation presents a binomial probability distribution.

We need to determine the likelihood that at least 2 thumbtacks land point up out of 5 tossed ones. This can be expressed as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Referring to the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Consequently;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

8 0
3 months ago
Read 2 more answers
It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.​
tester [12383]

Answer:

x = 25

Step-by-step explanation:

Given that ray AP divides angle CAT, it implies that

\angle CAT=\angle CAP+\angle PAT

Also, \angle CAP = \angle PAT

This leads to, \angle CAT=2\angle PAT

As stated,

\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4

Consequently,

5x+17=2(3x-4)\\\\5x+17=6x-8

Grouping similar terms together,

5x-6x=-8-17\\\\-x=-25\\\\x=25

Thus, x is 25.

8 0
3 months ago
Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determin
Leona [12618]
The correct answer is C. 100
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3 months ago
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