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Ronch [10]
3 years ago
13

What is the radius of (x - 3)2 + (y + 4)2 = 14?

Mathematics
1 answer:
DochEvi [55]3 years ago
6 0
(x-h)^2+(y-k)^2=r^2
r=radius
(x-3)^2+(y+4)^2=14
(x-3)^2+(y+4)^2=(√14)^2
answer is 2nd option
r=√14
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4. The stock market goes up more often that it goes down. Assume the probability that the stock market goes up in a randomly sel
tekilochka [14]

Answer:

a: 0.0022

b: 0.00002

c: 0.0002

d: 924

e:  0.0025

f: 0.6652

g:  Expected value 7.8 months, standard deviation 1.77 months

Step-by-step explanation:

This is a binomial situation.  Either the market goes up, or it doesn't.  (It could stay the same, but it doesn't offer that as an option, so we don't include it).

When calculating probability of a binomial situation, use the formula

(nCr)(p^r)(q^(n-r))   where p is the probability of success, q is the probabilty of failure, n is the the number of times the situation occurs, and r is the desired number of successful outcomes.  The function nCr tells us how many ways you can choose r items from n total items.  In this case, we are choosing some number of months, r, from 12 months, n

For our situation we have:  n = 12, r = 12, p = 0.6, q = 0.4,

For a:   (12C12)(0.6^12)(0.4^0) = (1)(0.0022)(1) = 0.0022

We want all 12 months of success and no months of failure

For b:   (12C0)(0.6^0)(0.4^12) = (1)(1)(0.00002) = 0.00002

We want all months of failure, and no months of success

For c:   (0.6^6)(0.4^6) = 0.0002

We don't need the nCr function because it tells us that it we want 6 months of success followed by 6 months of failure.  There's only 1 way to do that, so there's nothing to count

For d:  12C6 = 924  

There are 924 different ways to the market can go up 6 times out of 12 months

For e:  (12C2)(0.6^2)(0.4^10) = (66)(0.36)(0.0001) = 0.0025

For f:  Add the following probabilities together...

(12C7)(0.6^7)(q^5) + (12C8)(0.6^8)(q^4) + (12C9)(0.6^9)(q^3)

+ (12C10)(0.6^10)(q^2) + (12C11)(0.6^11)(q^1) + (12C12)(0.6^12)(q^0)

= 0.6652

They are mutually exclusive, the probability for the union is zero because they can't happen at the same time

For g:  Find expected value with the formula E = np  , here n = 12, p = 0.6, so

E = 12(0.6) = 7.8 months

Find the standard deviation with the formula s = √(npq), or s = √(Eq), here q = 0.4, so s = √(7.8(0.4)) = 1.77 months

7 0
3 years ago
a wildlife manager determines that the function y=200x1.07* represents the deer population at a state park x years after the pop
Kobotan [32]

Answer:

Table:

0,200

4, 262

8,344

12, 450

Population after 12 years is 450 deer

Initial population is 200 deer.

Step-by-step explanation:

You take the x in the table and plug it in as an exponent so you will need a calculator or multiple the 1.07 by that many times so 1.07 12 times multipled by itself. and the initial is 0 years so anything to the exponent of 0 is 1 so that show i got 200 for the x=0

8 0
3 years ago
Solve for x<br> -6x+14&lt; -28 or 9x+15≤−12
Free_Kalibri [48]

- 3 \geqslant x > 6

Step-by-step explanation:

....

8 0
3 years ago
Express 0.6 as a fraction.
ollegr [7]

Answer: 3/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.6 is 6 tenths. So we can write 0.6 as the fraction 6/10.

Notice however that 6/10 is not in lowest terms.

So we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

So if we divide the numerator and denominator by 2, we get 3/5.

So 0.6 can be written as the fraction 3/5 which is in lowest terms.

Image provided showing the place value chart.

6 0
3 years ago
Read 2 more answers
(3, -4), (5, 1)<br><br> Find the slope of the line through each pair of points?
Alika [10]

Answer:

m = 5/2

OR

m = 2 1/2

OR

m = 2.5

Step-by-step explanation:

8 0
3 years ago
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