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suter [353]
4 years ago
13

What is the distance between the points M (-3, 7) and N (a, b)?

Mathematics
1 answer:
gavmur [86]4 years ago
4 0

Answer:   \sqrt{ (-3-a)^2 + (7-b)^2 }

Explanation:

We plug the given coordinates into the distance formula

d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 }\\\\

There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.

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If f(x) = 2X-1 + 3 and g(x) = 5x - 9, what is (f-g)(x)?
docker41 [41]

Answer:

2x − 5x + 11

Step-by-step explanation:

4 0
4 years ago
ClearBags is an online company that sells packaging materials for photographers. Suppose their average order size is $208.19 wit
Andreas93 [3]

Answer:

The standard error of the mean for this sample is 9.033

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\sigma = 53.44, n = 35

So

s = \frac{53.44}{\sqrt{35}} = 9.033

The standard error of the mean for this sample is 9.033

3 0
3 years ago
Read 2 more answers
7. Da'Quan is reading a 532-page book for English. His teacher says that each student must have read at least half of the book b
Radda [10]

Answer: x > 38

Step-by-step explanation:

Easy

7 0
3 years ago
Tell what shape is created by this cross section.
Viefleur [7K]
Hello!

As you can see this figure is a rectangular prism. Two sides are squares. When the figure is cut facing the squares, the resulting shape will be a square.

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3 0
3 years ago
A bicycle that usually sells for 230 is on sale for 15% off. Find the sale price
SSSSS [86.1K]

Answer: $172.50

Step-by-step explanation: Method 1:

The original price of the item is $230.

The discount is 25%.

Let's find 25% of $230.

25% of $230 = 0.25 * $230 = $57.50

The discount amount is $57.50.

Now we subtract the amount of the discount from the original cost.

Sale price = $230 - $57.50 = $172.50

Method 2.

The original price is $230.

That means that $230 is 100% of the price since 100% of a thing means the entire thing.

Since the discount is 25% of the price, we subtract 25% from 100%, 100% - 25% = 75%.

The sale price is 75% of the original price.

Now we find 75% of $230.

75% of $230 = 0.75 * $230 = $172.50

8 0
4 years ago
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