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Andreyy89
3 years ago
13

write the vertex form quadratic equation which has a vertex at (2,-1) and psses theough the point (4,3)

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

Step-by-step explanation:

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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
36×10 to the power of 5
Veseljchak [2.6K]
3600000, 3600000, 3600000 ur answer is <span>3600000</span>
5 0
3 years ago
4(12+3+9) as an distribute expression
miss Akunina [59]

Answer:

Step-by-step explanation: multiply 4 by 12 then 4 by 3 then 4 by 9.

6 0
3 years ago
A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece. Write an equation in Standard Form
Fofino [41]

Answer:

<h3>2x+2y = 100</h3>

Step-by-step explanation:

Total number of points in the test = 100points

If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x........  1

Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x ....... 2

Total points = eqn 1 + eqn 2

100 = 2x+ 2y

Rearrange

2x+2y = 100

Hence an equation in Standard Form that would model this situation is 2x+2y = 100

6 0
3 years ago
Belleview High School has 12 chaperones for 210 students on a field trip. Which of the following schools has the same ratio of c
masya89 [10]
Jefferson high school
8 0
2 years ago
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