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Naddik [55]
3 years ago
11

Can somebody please explain and answer this for me? I really don't get it.

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
Answer: 12a^3
Explanation: You would get the missing side to complete the perimeter by using the pythagorean theorem so 3^2+4^2=c^2 so you would get 9+16=c^2 which would become 25=c^2. That would get you 5 as the square root of 25 is 5 so in total, it would all be 3a^3+4a^3+5a^3 which would equal 12a^3.
(^ are for exponents) I might be wrong but hopefully it helps a bit. :)
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In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the
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Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle  in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle  PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

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Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

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

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where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

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The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

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