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4 years ago

Using the following equation, find the center and radius:

Mathematics

2 answers:

Molodets [167]4 years ago

7 0

Answer:

The center is located at (1, 3), and the radius is 6.

Step-by-step explanation:

Source - I took the test.

il63 [147K]4 years ago

6 0

The correct option is

The center is located at (1, 3), and the radius is 6. By making the given equation as in the general equation of the circle as following x^2 -2x +1+ y^2-6y+9=26+1+9 (x-1)^2+(y-3)^2=36=6^2 So, the coordinates of the center (1,3) And the radius=6

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Shelly is going shopping at the mall to buy 3 pairs of shoes. She has a coupon for $2 off per pair of shoes after buying the fir

morpeh [17]

Answer:

The least and most amount she can spend per pair is described in two cases given below.

Step-by-step explanation:

Given Shelly is going shopping at the mall to buy 3 pairs of shoes. She has a coupon for $2 off per pair of shoes after buying the first pair at full price. Shelly is willing to spend $80 to $176 not including tax. If the shoes she purchases are all the same price.

we have to find the least and most amount she can spend per pair.

There are two cases which are to be considered one in which no coupon applied which gives minimum amount and the other in which coupon applied gives maximum amount.

Case 1 : Coupon not applied.

Let the cost of a pair of shoes is x

∴ the cost of 3 pair of shoes is 3x

hence, the amount of money she spend is 86<3x<176

⇒ $\frac{86}{3}$

⇒ 26.6<x<58.6

Case 2 : Coupon applied

Let the cost of a pair of shoes is x. Since, there is $2 off per pair of shoes after buying the first pair at full price.

∴ the cost of 3 pair of shoes after applying coupon is 3x-4

hence, the amount of money she spend is 86<3x-4<176

⇒ $\frac{90}{3}$

⇒ 30<x<60

These are the least and most amount she can spend per pair.

7 0

4 years ago

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When you multiply two thirds by a fraction less than 1 how does the product compared to the factor

Tasya [4]

The product is less than the factor because anything multiplied by a number less than one will have a product less than itself.

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4 years ago

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In terms of π, what is the volume of the sphere?

Ahat [919]

I hope this helps. Have a great rest of your day!!

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3 years ago

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HELP I WILL GIVE BRAINLIEST

Ivan

Answer:

y = (3/2)x + 3

Step-by-step explanation:

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3 years ago

There are 50 students in a calculus class. The amount of time needed for the instructor to grade a randomly chosen midterm exam

natta225 [31]

Answer:

14.46% probability that the instructor can finish grading in 4 and a half hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

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 $s = \frac{\sigma}{\sqrt{n}}$ .