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Ann [662]
3 years ago
11

A math class has three girls and 7 boys in the 7th grade and five girls and five boys in the 8th grade the teacher randomly sele

cts a 7th grader and an 8th grader from the class 4A competition what is the probability that the students she select are boys write your answer as a fraction in simplest form
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

7/20

Step-by-step explanation:

Seventh grade: Total = 3 + 7 = 10

Number of boys = 7 boys

Probability of a boy being picked = 7/10

Eighth grade: Total 5 + 5 = 10

Number of boys = 5

Probability 5/10 = 1/2

The probability of the correct outcome = 7/10  *  1/2  = 7 / 20

Answer: 7 / 20

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suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
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Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

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f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

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    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

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Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

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