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3 years ago

What is the value of the t score for a 99% confidence interval if we take a sample of size 22?

Mathematics

1 answer:

Elanso [62]3 years ago

5 0

Answer: 2.831

Step-by-step explanation:

As per given , we have

sample size : n= 22

Degree of freedom = n-1 = 22-1=21

Significance level for 99% confidence interval = $\dfrac{1-0.99}{2}=0.005$

Using student's t-value table, we have

$t_{0.005,\ 21}=2.831$

Hence, the t score for a 99% confidence interval if we take a sample of size 22= 2.831

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"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.

Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

$x^2+6x+y^2-4y=-9$

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

$x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2$

$x^2+6x+9+y^2-4y+4=-9+9+4$

$x^2+6x+9+y^2-4y+4=4$

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

$(x+3)^2+(y-2)^2=4$

$(x--3)^2+(y-2)^2=2^2$

Comparing to:

$(x-h)^2+(y-k)^2=r^2$

The center is (-3,2) and the radius is r=2

8 0

3 years ago

Mr. James has cylindrical beakers that measure 4 inches in diameter and 9 inches high. What is the volume contained within the b

goblinko [34]

So 4 inches diameter result the radius is 4/2 = 2 inches

area of base = pir^2 = 3,14*2^2 = 3,14*4 = 12,56 inches squared

volume = area of base *height

V = 12,56 *9 = 113,04 so rounded 113,05 inches cubed

hope this will help you

3 0

3 years ago

Answer asap please!!

skad [1K]

Answer is B. 11. The square root is roughly 10.5, so you round up and get 11

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3 years ago

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Rudik [331]

Answer : -3/4 ..............

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The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new var

Kryger [21]

Answer:

Step-by-step explanation:

Your welcome! :) Good luck!

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3 years ago