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2 years ago

GUYS HELP ASAP CHECK THE ATTACHED PHOTO

Mathematics

1 answer:

ASHA 777 [7]2 years ago

7 0

Answer:

As they triangles are congruent, we can say that, angle A = angle O

So, angle A = 105+25 =130

A = 180 - 130 = 50° all angles in a triangle add up to 180)

Soo 50° is the answer,

I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....

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Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv

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Answer:

$7200 in the fund rose 6% n $2800 in the fund rose 9%

Step-by-step explanation:

let x be the amount in the fund rose 6%

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2 years ago

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi

Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}$

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

$P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483$

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

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3 years ago