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Vilka [71]
3 years ago
9

A person wearing contact lenses is told to wear them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day.

For how many hours will the person wear the contact lenses on the 10th day?
Mathematics
2 answers:
levacccp [35]3 years ago
6 0

Answer: the person will wear it for 7.5 hours on the 10th day.

Step-by-step explanation:

The person wears them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day. This means that the number of hours is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 3 hours

d = 0.5 hour

n = 10

We want to determine the value of the 10th term, T10. Therefore,

T10 = 3 + 0.5(10 - 1)

T10 = 3 + (0.5 × 9)

T10 = 7.5 hours

olya-2409 [2.1K]3 years ago
5 0

Answer:

A person is going to wear contact lenses for <em><u>7 and a half hour</u></em> on the tenth day

Step-by-step explanation:

3 + 3.5 + 4 + 4.5 + 5 + 5.5 + 6 + 6.5 + 7 + 7.5

1      2      3     4      5     6      7      8     9     10

7.5 because it is the tenth day

Answer:  A person is going to wear contact lenses for 7 and a half hour on the tenth day

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Which expression has a positive value?
Vikki [24]

Answer:

The answer is (-5)(-9).

Step-by-step explanation:

As you multiply 2 negative number together, it will equals to positive number :

(-5)×(-9) = 45

3 0
3 years ago
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Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose fur
stealth61 [152]

Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Three heads.
  • Event B: Fair coin.

The probability associated with 3 heads are:

  • 0.5^3 = 0.125 out of 0.5(fair coin).
  • 1 out of 0.5(biased).

Hence:

P(A) = 0.125 + 0.5 = 0.625

The probability of 3 heads and the fair coin is:

P(A \cap B) = 0.5(0.125) = 0.0625

Then, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1

0.1 = 10% probability that the chosen coin was the fair coin.

A similar problem is given at brainly.com/question/14398287

4 0
3 years ago
Solve the system.<br> x+3y= 22<br> 2x -y=2<br> (7,5)<br> (2,2)<br> (4,6)<br> no solution
kirill115 [55]

Answer:

x = 4 , y = 6

Step-by-step explanation:

Solve the following system:

{x + 3 y = 22 | (equation 1)

2 x - y = 2 | (equation 2)

Swap equation 1 with equation 2:

{2 x - y = 2 | (equation 1)

x + 3 y = 22 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x - y = 2 | (equation 1)

0 x+(7 y)/2 = 21 | (equation 2)

Multiply equation 2 by 2/7:

{2 x - y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Add equation 2 to equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer: {x = 4 , y = 6

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What’s the correct answer for this?
Maurinko [17]

Answer:

c

Step-by-step explanation:

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Which ordered pair is the solution?
IrinaVladis [17]
The answer is D neither because its 
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