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r-ruslan [8.4K]
3 years ago
8

You are given the following graph:

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0
Well, the solid line is y≥x/2-1 whereas the dotted line has the equation y<4x+1. The solution to this system of inequalities comes out to being (.8<span>,3.2)</span>
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a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution
Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25

We can calculate the probability of getting one non-conforming units (k=1) as:

P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51

5 0
4 years ago
Which three expressions are equivalent to the expression 3x − 12 − 2(x + 12)?
Sergio039 [100]

Answer:

The answer should be x - 36

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A farm stand sells apples, a, for $5 a bucket and peaches, p,
Mrrafil [7]

Answer:

B. 5a + 8p = 155; p = a - 5

Step-by-step explanation:

B

4 0
3 years ago
Find the area of a sector that has a central angle of 40 and a radius of 2 cm. Round your answer to the nearest 100th. Use 3.14=
Aneli [31]
I think the answer is around 1.4 as you need to multiply the area by 1/9 after finding the real area. 
6 0
3 years ago
Regina claims that gold has a mass almost 20 times more than water.
Butoxors [25]

The atomic mass of an element is the average mass of the atoms of an element measured in atomic mass unit (amu, also known as daltons, D). The atomic mass is a weighted average of all of the isotopes of that element, in which the mass of each isotope is multiplied by the abundance of that particular isotope. (Atomic mass is also referred to as atomic weight, but the term "mass" is more accurate.)

7 0
3 years ago
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