1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya [10]
2 years ago
14

Describe how you can tell if an image has been enlarged correctly.​

Mathematics
1 answer:
vazorg [7]2 years ago
4 0

When the object is located at a location in front of the focal point, the image will always be located somewhere on the same side of the lens as the object. In this case, the image is enlarged; in other words, the image dimensions are greater than the object dimensions.

You might be interested in
What is the LCD of 11/12 and 1/8
s344n2d4d5 [400]
11/12 and 1/8
we only need to look at the denominators which is 
12 and 8

12 24 36
8   16 <span> 24
</span>so the LCD is 24
7 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen
aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution 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.

In this problem we have that:

p = 0.85

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12.

So

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

P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

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

P(X = 16) = C_{20,16}.(0.85)^{16}.(0.15)^{4} = 0.1821

P(X = 17) = C_{20,17}.(0.85)^{17}.(0.15)^{3} = 0.2428

P(X = 18) = C_{20,18}.(0.85)^{18}.(0.15)^{2} = 0.2293

P(X = 19) = C_{20,19}.(0.85)^{19}.(0.15)^{1} = 0.1368

P(X = 20) = C_{20,20}.(0.85)^{20}.(0.15)^{0} = 0.0388

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1821 + 0.2428 + 0.2293 + 0.1368 + 0.0388 = 0.8298

(c) If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.85 = 18.7

The nearest integer to 18.7 is 19.

7 0
3 years ago
The least common multiple of two numbers is 22. One number is even, and one number is odd
Lubov Fominskaja [6]
2 and 11 i believe , or 1 and 22
6 0
3 years ago
Read 2 more answers
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
QveST [7]
Commutative property of multiplication states that u can " commute " , move around the numbers and get the same result.
Example : 1 * 2 * 3 = 3 * 2 * 1...they still equal no matter what order u put them in.

so cba = abc by commutative property of multiplication
6 0
2 years ago
What is the factor to this as a expression?
kotegsom [21]

Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • A certain university in the United States has a student enrollment of 19,100. Mr. Hill knows the percentage of students that are
    15·2 answers
  • Solve x3 = 125 over 27
    12·2 answers
  • Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.
    15·1 answer
  • the simple interest paid on a loan over a period of two and a half years is birr 375. if the rate of interest was 8% per annum,
    7·1 answer
  • A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing a 3 or a multiple of 3?
    11·1 answer
  • translate the following sentence into an equation. the sum of twice a number x and 13 is two less than three times x
    10·1 answer
  • For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)
    8·2 answers
  • Help please! I can’t seem to solve this!!!
    7·2 answers
  • I WILL MARK BRAINLIEST :]
    10·1 answer
  • Which expression is equivalent to 3 2 times 3-5 ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!