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inn [45]
3 years ago
12

Find the distance between (-3,5) and (4,-2)

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

7√2 or approx. 9.89949

Step-by-step explanation:

distance between two points is

d=√(∆x^2+∆y^2)

where...

d is distance

∆x is change in x value

and ∆y is change in y value

In this problem ∆x=(-3)-4=(-7)

∆y=5-(-2)=7

plugging in those values gives us

d=√((-7)^2+7^2)

Solving this expression gives us

d=√(49+49)=√98

After simplifying the radical we are left with 7√2 or about 9.89949.

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(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probabi
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Answer:

C. Probability is 0.90, which is inconsistent with the Empirical Rule.

Step-by-step explanation:

We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.

First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:

z=\frac{x-\mu}{\sigma}

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z\approx-1.64

z=\frac{x-\mu}{\sigma}

z=\frac{107.5-97.5}{6.1}

z=\frac{10}{6.1}

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Using property P(a, we will get:

P(-1.64

From normal distribution table, we will get:

P(-1.64

P(-1.64

P(-1.64

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