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sladkih [1.3K]
3 years ago
13

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6)

B: Yes

C: Yes

Step-by-step explanation:

A: I obtained the ordered pairs by subtracting .5 inches from 9 inches for each second.

B: Yes because for every input there is only one output. For example after 2 seconds, the candle is 8 inches (and there is no other input). A function must only have one output for every input.

C: The relation would still be a function because for every input there would be one out put. Some new ordered pairs would be (1, 8.55) (2, 8.1) (3, 7.65) (4, 7.2) (5, 6.75) (6, 6.3)

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Sedaia [141]

Answer:

B

Step-by-step explanation:

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3 years ago
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Lots of 40 components each are deemed unacceptable if they contain 3 or more defectives. The procedure for sampling a lot is to
MrRissso [65]

Answer:

The probability of founding exactly one defective item in the sample is P=0.275.

The mean and variance of defective components in the sample are:

\mu=0.375\\\\\sigma^2=0.347

Step-by-step explanation:

In the case we have a lot with 3 defectives components, the proportion of defectives is:

p=3/40=0.075

a) The number of defectives components in the 5-components sample will follow a binomial distribution B(5,0.075).

The probability of having one defective in the sample is:

P(k=5)=\binom{5}{1}p^1(1-p)^4=5*0.075*0.925^4=0.275

b) The mean and variance of defective components in the sample is:

\mu=np=5*0.075=0.375\\\\\sigma^2=npq=5*0.075*0.925=0.347

The Chebyschev's inequality established:

P(|X-\mu|\geq k\sigma)\leq \frac{1}{k^2}

6 0
3 years ago
Help ASAP please ...
cupoosta [38]

Answer:

Angle Q

Step-by-step explanation:

As I said on my previous posts, all you need to remember is CPCTC (corresponding parts of congruent triangles are congruent)

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The angle of elevation from L to K measures 39°. If KL = 12, find JL. Round your answer to the nearest tenth.
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The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-
Andrew [12]

There are (A) 2.7 bacterias initially.

<h3>What is a function?</h3>
  • A function is an expression that establishes the relationship between the dependent and independent variables.
  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.
  • The set X is known as the function's domain, while the set Y is known as the function's codomain.
  • Originally, functions were the idealization of how a variable quantity depends on another quantity.

To find the number of bacteria:

  • The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
  • The starting number of bacteria is then 2.7.

Therefore, there are (A) 2.7 bacterias initially.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8

(C) 4

3 0
1 year ago
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