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olchik [2.2K]
2 years ago
13

Find the slope of the line that passes through (3, 6) and (8, 7)

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0

Answer:

The slope of this line is <u>1/5</u>

Step-by-step explanation:

You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.

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The Town of Hertfordshire clerk knows that 23% of dogs in the town have completed emotional support training. Hertfordshire plan
Nataly_w [17]

Answer:

95.64% probability that under 30% of the dogs are emotional support trained

Step-by-step explanation:

For each dog, there are only two possible outcomes. Either they have completed emotional support training, or they have not. So we use the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

\mu = E(X) = np = 100*0.23 = 23

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.23*0.77} = 4.21

What is the probability that under 30% of the dogs are emotional support trained?

30% of 100 is 0.3*100 = 30

So this is the pvalue of Z when X = 30.

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 23}{4.1}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564.

So there is a 95.64% probability that under 30% of the dogs are emotional support trained

5 0
3 years ago
WILL MARK U AS BRAINLIEST PLZ HELP
Radda [10]

Answer:

112 if you don't include the triangle sides as they are not necessary, but 124 if you include one triangle and 136 if you include both triangle sides

5 0
3 years ago
A seagull was flying about sea level looking to catch a fish below sea level. The elevation above sea level was 125 1/2 feet. He
frez [133]

Answer:

The seagull's position halfway is 85.5 feet.

Step-by-step explanation:

The seagull is at 125 1/2 feet above the sea level.

The fish is at 45 1/2 feet below the sea level.

The distance between the seagull and fish = seagull's distance above the sea level + fish's distance below the sea level

                                                  = 125 1/2 + 45 1/2

                                                  = \frac{251}{2} + \frac{91}{2}

                                                  = \frac{342}{2}

                                                  = 171

The distance between the seagull and fish is 171 feet.

Since the seagull stops halfway, then;

seagull's position = \frac{171}{2}

                             = 85.5

The seagull's position halfway is 85.5 feet.

8 0
2 years ago
Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Liula [17]

Answer:

  8 5 5

Step-by-step explanation:

Line 3 sets t = 5

Line 5 sets n = t = 5

Line 6 sets c = n+3 = 8

The displayed values for c, n, are

  8 5 5

6 0
3 years ago
The length of a rectangle is 8 inches longer than half of its width.The area of the rectangle is 18 square inches.How many inche
SOVA2 [1]

Answer:

The correct answer is 2 inches.

Step-by-step explanation:

Let l inches and w inches be the length and width of a rectangle respectively.

According to the given problem, l - 8 = \frac{w}{2}.

Area of the rectangle is given to be, according to the question, 18 square inches.

Thus l × w = 18

⇒ l × (2l - 16) = 18

⇒ 2 l^{2} - 16l - 18 = 0

⇒  l^{2} - 8l - 9 = 0

⇒ ( l - 9) ( l + 1) = 0

The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.

Width of the rectangle is 2 inches.

5 0
3 years ago
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