Given:
The equation of the circle is
We need to determine the center and radius of the circle.
Center:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
Radius:
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
Complete question :
It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
Answer:
0.929 ; 0.306
Step-by-step explanation:
Using the information:
P(stock) = P(s) = 28% = 0.28
P(fixed income) = P(f) = 0.85
P(stock and fixed income) = p(SnF) = 26%
a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.
P(F|S) = p(FnS) / p(s)
= 0.26 / 0.28
= 0.9285
= 0.929
(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
P(s|f) = p(SnF) / p(f)
P(S|F) = 0.26 / 0.85 = 0.3058823
P(S¦F) = 0.306 (to 3 decimal places)
Answer:
5(x+2y-3)
Step-by-step explanation:
5x+10y-15
Factor out 5 from the expression
5(x+2y-3)
Answer:
C
Step-by-step explanation:
good luck!
Answer:
x= −8/41
Step-by-step explanation:
Step-by-step explanation:
Long divide the coefficients to find:
−
x
4
+
8
x
3
−
3
x
2
+
4
x
−
2
x
2
+
4
=
−
x
2
+
8
x
+
1
+
−
28
x
−
6
x
2
+
4
Explanation:
I like to long divide the coefficients, not forgetting to include
0
for any missing power of
x
...
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The process is similar to long division of numbers.
For a more fully explained example, see:
Answer: i think 3
Step-by-step explanation:
To find the missing digit in the multiplication problem 34 x □5, we need to determine what number should replace the blank space.
To solve this, we can use basic multiplication principles.
First, let's look at the units digit. When multiplying any number by 5, the units digit of the product will always be either 0 or 5. Therefore, the units digit of the missing number is either 0 or 5.
Next, let's consider the tens digit. In this case, it's 4. To find the tens digit of the product, we need to multiply the tens digit of the multiplicand (3) by the missing digit. If we multiply 3 by 5, we get 15, which means the tens digit of the product is 5. However, if we multiply 3 by 0, we get 0, which means the tens digit of the product is 0.
Therefore, we have two possible answers: 305 and 345. Both of these numbers are valid options for the missing digit in the multiplication problem 34 x □5.
I hope this helps! Let me know if you have any further questions.
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options.
63%, 63%, 63%
66%, 69%, 72%
66%, 62%, 58%
63%, 65%, 67%
67%, 72%, 77%
Answer:
66%, 69%, 72%
63%, 65%, 67%
67%, 72%, 77%
Step-by-step explanation:
it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle
so anyways for the fourth fifthe and sixth visit itll be an increasing sensitivity
Anyways for the fourth fifth and sixth visit, it'll be an increased sensitivity.
We have given that,
The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program.
A 2-column table with 6 rows titled Intensity of Exercises. The first column is labeled Number of Visits with entries 1, 2, 3, 4, 5, and 6.
66%, 69%, 72%
63%, 65%, 67%
67%, 72%, 77%
The intensity or flux of radiant energy is the power transferred per unit area, where the area is measured on the plane perpendicular to the energy's propagation direction.
it says that people recommend the same intensity for three then increasing for three then decreasing thus repeating this cycle
so anyways for the fourth fifth and sixth visit, it'll be an increased sensitivity.
To learn more about the intensity visit:
#SPJ5