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IrinaK [193]
3 years ago
7

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
mariarad [96]3 years ago
6 0

Answer:

What would you like help with?

Step-by-step explanation:

You might be interested in
A hotel wants to put a fence around a circular spa. The radius of the spa is feet. If the fence is built along the immediate edg
MariettaO [177]

For this case we must find the perimeter of the fence, in a circular way, knowing that the perimeter of a circle is given by:

P = 2 \pi*r

Where "r" represents the radius of the circle, in this case r = \frac {5} {\sqrt {2} -1}

Substituting in the perimeter equation we have:

P = 2 \pi * \frac {5} {\sqrt {2} -1}

Rationalizing we have:

P = \frac {2 \pi * 5 (\sqrt {2} +1)} {(\sqrt {2} -1) * (\sqrt {2} +1)}\\P = \frac {2 \pi*5 \sqrt {2} +2 \pi*5} {2-1}\\P = 10 \pi \sqrt {2} +10 \pi

Taking out common factor \pi:

P = (10 \sqrt {2} +10) \pi

Answer:

P = (10 \sqrt {2} +10) \pi\ feet

Option C


3 0
3 years ago
Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive
miss Akunina [59]

Answer:

a. 0.343

b. 0.657

c. 0.189

d. 0.216

e. 0.353

Step-by-step explanation:

We use the combination formula of probability distribution to solve the question.

Where P(x=r) = nCr * p^r * q^n-r

Where n = number of trials = 3 vehicles

r = desired outcome of trial which varies.

p = probability of success = 70% =0.7

q = probability of failure = 1-p = 0.3

a. Probability that all 3 vehicles passed = P(X=3)

= 3C3 * 0.7^3 * 0.3^0 = 1 * 0.343 * 1

= 0.343.

b. Probability that at least one fails = 1 - (probability that none failed)

And probability that none failed = probability that all 3 vehicles passed.

Hence Probability that at least one fails = 1 - (probability that all 3 vehicles passe)

= 1 - 0.343

= 0.657

c.) probability that exactly one pass= P(X=1)

= 3C1 * 0.7¹ * 0.3² = 3 * 0.7 * 0.09

= 0.189

d.) probability that at most One of the vehicles passed = probability that none passed + probability of one passed.

Probability that none of the vehicles passed = P(X=0)

= 3C0 * 0.7^0 * 0.3^3 = 1*1*0.027

=0.027

Probability that one passed as calculated earlier = 0.189

Hence probability that at most one vehicle passed = 0.189 + 0.027 = 0.216

e.) Probability that all three Vehicles pass given that at least one pass = (probability of all three vehicles passes) / (probability that at least one passes)

Probability that at least one pass = 1 - probability that none passed.

= 1 - 0.027

= 0.973

Hence,

Probability that all three Vehicles passed given that at least one passed = 0.343/0.973

= 0.3525 = 0.353 (3.d.p)

7 0
3 years ago
Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Ierofanga [76]

Answer:

The sum of the polynomials in the equation is 3x² - 2x - 3

Step-by-step explanation:

(3 - 4x + 8x²) + (-6 + 2x - 5x²)

Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.

3 - 4x + 8x² - 6 + 2x - 5x²

Combine like terms.

- 3 - 2x + 3x²

Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.

3x² - 2x - 3

8 0
3 years ago
Read 2 more answers
Can someone help me please
Tasya [4]

Just input 3550 for (c) then for the second question input 24 for c times 50 +1900.
A). 33

B). 3100
3 0
3 years ago
Read 2 more answers
Please answer this ASAP
Andre45 [30]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
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