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Daniel [21]
3 years ago
13

The parallel black lines undergo a transformation. The green lines are the resulting image. Which choice describes the transform

ation?
A) Dilation by a factor of 4
B) Reflection across the x-axis
C) Reflection across the y-axis
D) Translation 5 units up
Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0
D) translation 5 units up
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A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10
AveGali [126]

Answer:

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

Step-by-step explanation:

A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:

h(x) =\frac{({A}C_{x})({N-A}C_{n-x})}{^{N}C_{n}  }

where:

^{n}C_{r}=\frac{n!}{(n-r)!r!}

h(x)  is the probability of x successes,

n is the number of attempts,

A is the number of successes  

N is the number of elements

For this problem:

A = 30, x = 5, N = 50, n = 10

The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is

P(x=5)=\frac{({30}C_{5})({50-30}C_{10-5})}{^{50}C_{10}  }\\P(x=5)=\frac{({30}C_{5})({20}C_{5})}{^{50}C_{10}  }

P(x=5)=\frac{\frac{30!}{(30-5)!5!}*\frac{20!}{(20-5)!5!}  }{\frac{50!}{(50-10)!10!} }\\P(x=5)=\frac{\frac{30!}{25!5!}*\frac{20!}{15!5!}  }{\frac{50!}{40!10!} }

P(x=5)=\frac{142506*15504}{1.207*10^{10} }=0.215

P(x=5) = 0.215

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

4 0
3 years ago
Which of the following are quadratic functions A. Y =5x-3/2+x^2 B. Y=x^2+5x-2 C. Y=-x+2 D. Y=x-1/x
Svetllana [295]

Answer:

A and B

Step-by-step explanation:

Quadratic Equations: f(x) = a(bx - h)² + k

Quadratic equations always have a degree of 2. That means that we will always have an x² term. Of the 4 choices, only A and B offer a term of x², making them a quadratic.

8 0
3 years ago
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The question is in the picture​
Inessa05 [86]

Answer:

the answer is 15 degree

3 0
3 years ago
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Who knows how to do this
Oksi-84 [34.3K]

Answer:

(-1, 7)

Step-by-step explanation:

2 unites left would movie from 1 to -1.

1 unit down would move from 8 to 7.

7 0
3 years ago
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Which zero pair could be added to the function fon) = x2 + 12x + 6 so that the function can be written in vertex form?
Oksanka [162]

ANSWER

36,-36

EXPLANATION

The given function is:

f(x) =  {x}^{2}  + 12x + 6

To write this function in vertex form;

We need to add and subtract the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add and subtract 36.

Hence the zero pair is:

36, -36.

The correct answer is D.

4 0
3 years ago
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