You collect a random sample of size n from a population and calculate a 98% confidence interval. Which of the following strategies produces a new confidence interval with a decreased margin of error?

A: Use a 99% confidence level.
B: Use a 95% confidence level.
C: Decrease the sample size.
D: Use the same confidence level, but compute the interval n times. Approximately 2% of these intervals will be larger.
E: Nothing can guarantee that you will obtain a larger margin of error. You can only say that the chance of obtaining a larger interval is 0.02.

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

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

The radius of the circle is the distance between the points (0,0) and (4,-3).

[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]

[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

So, the radius of the circle is 5 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

[tex](x-0)^2+(y-0)^2=5^2[/tex]

[tex]x^2+y^2=25[/tex]

Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].

Answer:

-2,-2,-2

Step-by-step explanation:

When you add -2 to itself, it equals -4. When you add -2 to -4, you get -6.

Answer: -2

Step-by-step explanation: -2 + -2 +-2 = -6

Answer:

2

Step-by-step explanation:

The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.

Answer:

B

Step-by-step explanation:

Answer:Only 1 term because the others are coefficients because they have a variable by them.

Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{3}{4} x+2[/tex]

Step-by-step explanation:

When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.  

1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:

[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]

Thus, the slope is [tex]\frac{3}{4}[/tex].

2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.

3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex]  and the [tex]b[/tex] to write the equation of the line.

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:

[tex]y = \frac{3}{4} x+2[/tex]

Answer:

Step-by-step explanation:

Hello! So with finding out the total + tax, we just multiply $12.50 by .15 (that is our 15% tip). Then we add that new number to $12.50 and that is the total with the tip! Let's do it,

12.50 * .15 = 1.88

12.50 + 1.88 = $14.38

Hope that helps, let me know if you have questions!

Answer:

Step-by-step explanation:

the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....

according to Gaggle    matrix multiplication is possible when the number of columns in matrix 1  equals the number of rows in matrix 2

       it is called the dot product  (that sounds familiar)

first choice has 2 columns  and 1 row              can't multiple this one

second choice has 1 column  and 2 rows        can't multiple this one

third choice has 2 columns  and 1 row             can't multiple this one

fourth choice has 1 column  and 1 row        This one can be multiplied

Answer:

volume of a cylinder is πr²h

ie

3.14 × 7× 7 × 11

you get

1692.46

Answer:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

y= −1/2x+8

Step-by-step explanation:

Hope it is helpful...

Hey there!

The answer is y = [tex]\frac{-1}{2}[/tex]x + 8

To put it into slope-intercept form, we must get "y" by itself on one side of the equation. First, to do this, we will subtract "x" from both sides.

2y = -x + 16

Lastly, we divide both sides by 2

y = [tex]\frac{-1}{2}[/tex]x + 8

Have a super awesome day! :)

Answer: 3.75 miles

Step-by-step explanation:

Divide 30 by 8. 30/8= 3.75. If she walked 1/8 then she walked 3.75 miles

Answer:

i felt that

Step-by-step explanation:

Answer. 655.4

Step-by-step explanation:

what did u get?

Answer:

C

Step-by-step explanation:

C

Answer:

14,599

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

The want is 46900 and the total is 435897

Doing the division you get the number rounded to the nearest thousandths as   0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

Answer: 37. 7in

12*3.14= 37.68

Rounded= 37.7 inches

Answer:

33.49 cubic units

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \times \pi {r}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi {(2)}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi \times 8 \\ \\ V_{sphere} = \frac{32 \times 3.14}{3} \\ \\ V_{sphere} = \frac{100.48}{3} \\ \\ V_{sphere} = 33.4933333\\ \\ V_{sphere} \approx 33.49\: units^3 [/tex]

Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

Answer:

there are 8 one dollar bills and 3 five dollar bills

Step-by-step explanation:

Answer:

sup

Step-by-step explanation:

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Divide 35 and 437.50 and you get 0.8

Then multiply .8 times 100 = 8%

Answer:

44

Step-by-step explanation:

A angle bisector is a ray that bisects an angle into two congruent parts.

Using that information, Angle CAP=Angle PAB.

Angle PAB or Angle 2 =22 so using transitive Property, CAP or angle 1 =22.

We are asked to find the full angle so using Angle Addition

Angle CAP+ Angle PAB=CAB

22+22=CAB

44=CAB