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3 years ago

If n = -1, which of the following statements is false?

Mathematics

1 answer:

Rainbow [258]3 years ago

7 0

Answer: B

Step-by-step explanation:

Those lines around n mean it’s talking about absolute value. Absolute value is the positive version of any number. This that -1 would turn into 1. If that’s the case, then |n| < 0 would be false

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are 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:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

Plz help me on this qustin. Slove for w 2w ≥ -12

RUDIKE [14]

Answer:

w > -6

Step-by-step explanation:

divide each term n 2x > -12 by 2 then simplify

8 0

3 years ago

A flower bed has the shape of a rectangle 5 yards long and 4 yards wide. What is its area in square feet?

aalyn [17]

To find the area, use A= bh (base x height), or A = lw (length x width)

There are 3 feet in 1 yard

3 x 5 = 15
4 x 3 = 12

15 x 12 = 180

The flower bed is 180 ft²

hope this helps

3 0

3 years ago

Y+5 ——=0 solve for y X-1

Ira Lisetskai [31]

Answer:

y = -5

Step-by-step explanation:

see the pic for the steps . .

5 0

3 years ago

A figure has a vertex at (5,2). If the figure has line symmetry about the x axis, what are the coordinates of another vertex of

Fiesta28 [93]

X axis is the ones that goes left and right

(x,y)

symetric about the x axis means that the vertical distance from the x axis is the same for 2 points that are symetric about the x axis

y is height

(x,y)
(5,2)
2 is height
distance from x axis
therefor the other point is -2
(5,-2)

the other vertex is at (5,-2)

3 0

3 years ago