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kenny6666 [7]
3 years ago
7

A line has slope 5/6and y–intercept −3. Which answer is the equation of the line? y=56x+3 y=56x−3 y=3x+56 y=−3x+56

Mathematics
2 answers:
Leona [35]3 years ago
8 0

The equation of a line is y = mx+b where m is the slope and b is the y-intercept.

The slope is 5/6 and y-intercept is -3


The equation would be y = 5/6m - 3

klemol [59]3 years ago
3 0

Hi BeeBeeBumble,

Solution:

To find the equation you look at the first sentence of your question.

You see that its 5/6 and -3

You know that you can take away the negative from negative 3 then just subtract.

Final Answer:

B. 5/6 - 3

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A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv
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Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

p=\frac{1}{6}

Now, probability of failure is given by the formula:

q=1-p=1-\frac{1}{6}=\frac{5}{6}

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

P(x) = ^nC_xp^xq^{n-x}

Plug in all the given values and find the probability of 14 successes. This gives,

P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087

Therefore, the experimental probability of throwing a five is 0.087.

8 0
4 years ago
Which statement shows the associative property of addition?
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The vertices of ABC are A(-3,5), B(-2,3), and C(-5,3). If ABC is reflected across the y-axis to produce the image A'B'C', find t
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Answer:

C' =(5,3)

Step-by-step explanation:

Given

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B = (-2,3)

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Reflection across y-axis

Required

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For reflection across y-axis, the rule is:

(x,y) \to (-x,y)

So, the image of C is:

(-5,3) \to (-(-5),3)

(-5,3) \to (5,3)

Hence:

C' =(5,3)

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Answer:

B negative

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