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vladimir2022 [97]
3 years ago
11

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y <

4x − 2 y is greater than or equal to negative 5 over 2 times x minus 2 Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (−2, −2) included in the solution area for the system? Justify your answer mathematically. (4 points)

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
Part A:
 The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
 The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
 Part B:
 the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
 Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
 inequality 1
 -2 <4 (-2) - 2
 -2 <-10 (false)
 inequality two
 -2> = - (5/2) (- 2) - 2
 -2> = 3 (false).

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Answer:

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Step-by-step explanation:

3000*0.85=2550

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LenKa [72]

Answer:

0.0016

Step-by-step explanation:

Batting average, p = 0.26

n = 7

x = 6

With p = 0.26 as success rate

1-p is equal to failure rate which is = 0.74

We have to solve this by using the binomial distribution formula.

P(X= x)

= nCx * p^x * (1-p)^(n-x)

P(X = 6)

=7C6 × 0.26^6 ×(1-0.26)^(7-6)

= 7 × 0.0003089 × 0..74¹

= 0.0016

So probability that he has exactly 6 hits in his next 7 bats is equal to 0.0016.

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Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t
alukav5142 [94]

Answer:

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Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

6 treated, which means that k = 6

Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

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P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

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