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Over [174]
3 years ago
9

A circular mirror has a diameter of 18 inches. What is the area of the mirror?

Mathematics
2 answers:
alexira [117]3 years ago
8 0

Answer:

The exact area of the mirror is 254.469004941 in²

Step-by-step explanation:

Use the area of a circle formula.

↑

( A = pi * r² )

Veronika [31]3 years ago
3 0

Answer:

254.34

Step-by-step explanation:

pie (3.14...) Radius(9) 9^2=81

3.14 times 81 is 254.34

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I need help with Which table shows the correct methods used to justify the solution steps?
12345 [234]

Answer:

x = 8

Step-by-step explanation:

3 (x - 5) + 7x = 65

3x - 15 + 7x = 65

10x - 15 = 65

10x = 80

x = 8

5 0
2 years ago
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Dana is purchasing a new car that costs $24,650. The bank is charging 4% simple interest for 6 years to finance the car. Using I
tia_tia [17]

Answer:

5,916

24650 \times 0.04 \times 6 = 5916

4 0
3 years ago
The graph of was shifted 5 units down and 4 units to the left. What is the equation of the resulting graph?
marysya [2.9K]

Answer:

5x+4

Step-by-step explanation:

use the equation mx+b I think this is right but I really dunno

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3 years ago
The amount of money jorge earns for (h) hours of work can be expressed as 100 + 25 (h) which inequality represents the number of
insens350 [35]

Answer:

This means jorge must work for at least 36 hours to earn $1,000. The inequality that represent this expression is h\geq36

Step-by-step explanation:

Given the amount of money jorge earns for (h) hours of work expressed as 100 + 25 (h). If jorge must work to earn at least $1,000, this means that the lowest amount jorge can earn is $1,000. Jorge cannot earn below but above $1000 i.e he will always earn amount greater than or equal to $1,000.

The statement can be represented using the inequality;

100+25h \geq1000

To know the number of hours jorge must work to earn at least $1000, we can solve the inequality function for 'h'

Subtarcting 100 from both sides;

100+25h-100\geq1000-100

25h\geq900

dividing both sides by 25

\frac{25h}{25} \geq  \frac{900}{25} \\h\geq 36

This means jorge must work for at least 36 hours to earn $1,000

7 0
3 years ago
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is re
balandron [24]

Answer:

0.013 = 1.3% probability that fifteen employees must be tested in order to find three positives.

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they test positive, or they do not. The probability of an employee testing positive is independent of any other employee, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

40% of the employees have positive indications of asbestos in their lungs

This means that p = 0.4

Find the probability that fifteen employees must be tested in order to find three positives.

2 during the first 14(given by P(X = 2) when n = 14).

The 15th is positive, with 0.4 probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{14,2}.(0.4)^{2}.(0.6)^{12} = 0.0317

0.0317*0.4 = 0.013.

0.013 = 1.3% probability that fifteen employees must be tested in order to find three positives.

7 0
2 years ago
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