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Marta_Voda [28]

3 years ago

10

If r does not equal 0, which of the following polar coordinate pairs represents the same point as the point with polar coordinat

es (r, theta) Select all that apply. (There are 2 correct answers)
a) (-r, theta + 2 pi)
b) (-r, theta + pi)
c) (r, theta + 3pi)
d) (r, theta -2pi)

1 answer:

riadik2000 [5.3K]3 years ago

8 0

Answer:

(-r, θ+ pi) & (r, theta-2pi)

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I need help pleaseee):

ankoles [38]

Answer:

Step-by-step explanation:

7 0

3 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$

$\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5$

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

$Z = \frac{0 - 10}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0

3 years ago

Plz help ill mark u brainliest

egoroff_w [7]

Answer:

<em>Part A: 3,</em>

<em>Part B: - 4</em>

Step-by-step explanation:

<em>~ Part A ~ </em>

The problem would be in terms of such an expression: ( - 6 - ( - 3 )^2 )/ -5

Now knowing the expression, let us simplify in terms of basic algebra:

( -6 - 9 )/ -5 = ( - 15/ - 5 ) = <em>Answer; 3</em>

<em>~ Part B ~ </em>

We know the problem to be p^2/ r, but we must substitute the value of p being -10, and r ⇒ -25: ( - 10 )^2/ -25

Now let us simplify the expressions:

( - 10 )^2/ -25 = 100/ - 25 =<em> Answer; -4</em>

5 0

3 years ago

ludmilkaskok [199]

The answer is B

the cost of each doll (2.5) times the number of dolls (x) equals the total amount she has to spend (45)

5 0

3 years ago

Read 2 more answers

Based on a table provided in your reading material determine the monthly payment for a $100,000 loan if the interest rate is 6%

kari74 [83]

Answer: The monthly payment on this loan would be $843.86.

Online you can find numerous loan calculators if you don't have access to the one in your reading material. All you need to do is enter the loan amount of $100,000 with a rate of 6% over the course of 15 years.

Entering these values will give a monthly payment of $843.86.

5 0

3 years ago