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2 years ago

Can someone please help me?

Mathematics

1 answer:

Elenna [48]2 years ago

3 0

Answer:

wagon wheel

radius = 1.5 ft

diameter = 3 ft

circumference = 9.4 ft

airplane propeller

radius = 24 in

diameter = 48 in

circumference = 150.7 in

Orange slice

radius = 3.185 cm

diameter = 6.37 cm

circumference = 20 cm

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A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.$

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0

2 years ago

F(x)=√x-2 I need to find the domain and the range

garri49 [273]

Answer:

$domain \: is \: x \geqslant 0 \\ \\ range \: is \: y \geqslant - 2 \\ \\ for \: f(x) = \sqrt{x} - \: 2$

4 0

2 years ago

PLS HELP ME ON THIS ASAP

myrzilka [38]

Answer:

A pair of friends are walking around outside and come across an unknown object. They are not sure if it is a living or a non-living thing. The friends decide to do a quick investigation to determine if it is alive.

Step-by-step explanation:

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2 years ago

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 8, 14, 9

kicyunya [14]

Answer:

Subsets of the given set = 32

Proper subset of the given set = 31

Step-by-step explanation:

Given set is {18, 8, 14, 9, 6} having 5 elements.

We know number of subsets of a set having n elements are represented by

$2^{n}$