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3 years ago

What is the value of x?

Mathematics

2 answers:

ddd [48]3 years ago

6 0

Answer:

Step-by-step explanation:

3x+x has to add up to 180

3x+x=180

4x/4=180/4

x=45

larisa86 [58]3 years ago

6 0

45 is the answer I believe

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3 years ago

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A hotel has $504 to buy new pillows. If the cost of each pillow is $6, how many pillows will the hotel be able to buy? A) 78 B)

Naddik [55]

Hello there!
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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.

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3 years ago

Use a truth table to verify the ﬁrst De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.

Nutka1998 [239]

Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧ q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

f

t

Then we get p' V q', V is true (t) when the first or the second is true.

p' V q'

f f f

f t t

t t f

t t t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)' ≡ (p' V q')

f f

t t

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

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3 years ago

What is the value of K?

sladkih [1.3K]

Answer: its A

Step-by-step explanation:

Because

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3 years ago