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1 year ago

Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728.

Mathematics

1 answer:

shtirl [24]1 year ago

5 0

Answer:

The original price of computer is $ 1040

Solution:

Given that, Mason used a 30% coupon to buy a new computer

After the discount, the cost of the computer was $728

To find: original price of computer

From given question,

price after discount = $ 728

discount = 30 % of original price

Let "x" be the original price of computer

price after discount = original price - discount price

Step-by-step explanation:

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Suppose two different methods are available for eye surgery. The probability that the eye has not recovered in a month is 0.002

umka21 [38]

Answer:

0.4007

Step-by-step explanation:

Let's define the following events:

A: method A is used

B: method B is used

NR: the eye has not recovered in a month

R: the eye is recovered in a month

The probability that the eye has not recovered in a month is 0.002 if method A is used, i.e., P(NR|A) = 0.002, so P(R|A) = 0.998.

When method B is used, the probability that the eye has not recovered in a month is 0.005, i.e., P(NR|B) = 0.005, so P(R|B) = 0.995.

40% of eye surgeries are done with method A, i.e., P(A) = 0.4

60% of eye surgeries are done with method B, i.e., P(B) = 0.6

If an eye is recovered in a month after surgery is done in the hospital, what is the probability that method A was performed? We are looking for P(A|R), then, by Bayes' Formula

P(A|R) = P(R|A)P(A)/(P(R|A)P(A) + P(R|B)P(B)) = 0.998*0.4/(0.998*0.4 + 0.995*0.6) = 0.4007

4 0

2 years ago

Find 3 rational numbers between ¼ and ½

ozzi

Answer:

5/16 and 3/8 are two

Step-by-step explanation:

idk a third

8 0

2 years ago

gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

9x-7x=25+7

2x=32

x=16

Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

7 0

2 years ago

The mAngle6 = (11x + 8)° and mAngle7 = (12x – 4)° Parallel lines x and y are cut by transversal w. On line x where it intersects

shtirl [24]

Answer:

its a) 40°

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6 0

2 years ago

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Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i

kramer

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement Reason

m∠1 = 62° Given

m∠1 , m∠2 are supplementary t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary r is a straight line hence linear pair.

Angle 2=180-62 = 118 Definition of supplementary angles

Angle 4 = 180-118 =62 -do-

Angle 1 = Angle 4 Equality property

Hence proved

6 0

1 year ago

Read 2 more answers