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pickupchik [31]
3 years ago
8

What is the equation of the line connecting (1,5) and (4,14)?

Mathematics
1 answer:
german3 years ago
3 0
To find the slope of the line:
(y2-y1)/(x2-x1)
(14-5)/(4-1)=(9)/(3)=3

Only one of your 4 possible answers has 3 as a slope. However, plugging in each point into the y=mx+b equation, the y-intercept consistently comes out as 2..
y=mx+b
14=3(4)+b  b=2
5=3(1)+b    b=2
y=3x+2
If there is a consistent, positive slope (from your question, this does not seem to have a quadratic as an option), 3x+5 is not even a viable solution because x=1 when the y-value is 5 (and thus no other x value {0} could have a y-value of 5). It seems as though you have a typo on your hands. Hopefully this helps?
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A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answe
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He answered 41 questions right.

41:50
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3 years ago
Find the value ofx. O is the center of the circle. Round your answer to the nearest hundredth.
lyudmila [28]

Answer:

A. In a binomial distribution, the value ofx represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

 

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

The most important difference is that in the binomial distribution, the value of x represents the successes in n trials.

And by the other hand in the geometric distribution, x represents the number of failures before you get a success in a series of Bernoulli trials.

So then the best answer for this case is:

A. In a binomial distribution, the value of x represents the number of successes in n trials, while in a geometric distribution, the value ofx represents the first trial that results in a success.

Step-by-step explanation:

8 0
3 years ago
Hypothesis testing on samples with fewer than 30 participants can be carried out by using the t-value for the corresponding leve
Eva8 [605]

Answer: true

Step-by-step explanation:

Z-tests are statistical calculations that can be used to compare the population mean to a sample mean The z-score is used to tellsbhow far in standard deviations a data point is from the mean of the data set. z-test compares a sample to a defined population and is typically used for dealing with problems relating to large samples (n > 30). Z-tests can also be used to test a hypothesis. Z-test is most useful when the standard deviation is known.

Like z-tests, t-tests are used to test a hypothesis, but a t-test asks whether a difference between the means of two groups is not likely to have occurred because of random chance. Usually, t-tests are used when dealing with problems with a small sample size (n < 30).

Both tests (z-tests and t-tests) are used in data with normal distribution (a sample data or population data that is evenly distributed around the mean).

3 0
3 years ago
Find the value of x
Paladinen [302]

\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • x = 12°

\textsf{  \underline{\underline{Steps to solve the problem} }:}

\qquad❖ \:  \sf \:2x + 6 + 5x + 90 = 180

[ by linear pair ]

\qquad❖ \:  \sf \:7x + 6 = 180 - 90

\qquad❖ \:  \sf \:7x + 6 = 90

\qquad❖ \:  \sf \:7x = 90 - 6

\qquad❖ \:  \sf \:7x = 84

\qquad❖ \:  \sf \:x = 84 \div 7

\qquad❖ \:  \sf \:x = 12

\qquad \large \sf {Conclusion}  :

\qquad❖ \:  \sf \:x = 12 \degree

7 0
2 years ago
(05.05)
Bas_tet [7]

Answer:

5

Step-by-step explanation:

The initial value is when x=0

When x=0, y =5

The initial value is 5

3 0
3 years ago
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