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2 years ago

When a mathematician writes QED at the end of a proof, what does this

Mathematics

1 answer:

blondinia [14]2 years ago

6 0

(C)

Step-by-step explanation:

Q.E.D means "quod erat demonstrandum" indicating that the proof is completed.

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In a sample of 700 gas stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati

frez [133]

Answer:

$P(x < 2.892) = 4.36\%$

Step-by-step explanation:

Given

$N = 700$ --- Population

$\mu = 2.894$ -- Mean

$\sigma = 0.009$ --- Standard deviation

$n = 55$ -- Sample

Required: $P(x < 2.892)$

This question will be solved using the finite correction factor

First, calculated the z score

$z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}$

$z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}$

$z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}$

$z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}$

$z = \frac{-0.002}{0.95917 * 0.0012129}$

$z = -1.71$

So:

$P(x < 2.892) = P(z < -1.71)$

Using z table

$P(x < 2.892) = 0.043633$

$P(x < 2.892) = 4.36\%$

3 0

2 years ago

Lilly owes $52,000 in student loans for college. If the loan will be repaid in 5.5 years and the interest rate charged is 6.75%,

vesna_86 [32]

Answer:

55510

Step-by-step explanation:

3 0

3 years ago

The perimeter of a regular octagon is 24a + 48 inches.(a) write an expression for the length of any one side of the octagon. The

Lubov Fominskaja [6]

Answer:

3a+6

Step-by-step explanation:

3a+6 = 24a+48 divided by 8 (there are 8 sides in an octagon)

covert 24a +48 inches into feet

2a+4 feet = 18 feet

subtract 4 from both sides

2a = 14

divided 2 from both sides

a = 7

covert 3a+6 inches into feet

0.25a +0,5

0.25(7)+0.5

= 2.25

verify your answer

2.25 x 8 = 18

4 0

2 years ago

A person creates a game in which a person pays $5.00 to play. Then, they draw a single card from a standard shuffled deck of car

valkas [14]

Answer:

Step-by-step explanation:

The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.

There are 52 cards in a deck.

There are 12 face cards in a deck. (gain 10)

There are 4 ace in a deck. (gain 20)

Any other card is 36 of them. (lose 5)

The probability of face card is 12/52

The probability of ace is 4/52

The probability of any other card is 36/52

Thus the expected values is:

(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38

3 0

2 years ago

Read 2 more answers

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fru

makkiz [27]

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

8 0

2 years ago