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kompoz [17]
3 years ago
8

You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t

o 1.5, what's the minimum size of the random sample you can use for this purpose?
Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population  standard deviation is equal to 1.5

i.e. \sigma = 0.5

Confidence level = 99%

Since population std deviation is known, we can use Z critical value for finding margin of error

Z critical value for 99% = 2.58

Margin of error = 2.58*\frac{1.5}{\sqrt{n} }

Equate this to 0.5 and solve for n

2.58*\frac{1.5}{\sqrt{n} }=0.5\\\sqrt{n} =7.74\\n =59.90\\n=60

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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
Aaaaaa help I’m stuck at F I really need to do this so I could get a D please with explanation
Fed [463]

Answer:

$1.51

Step-by-step explanation:

1.25 lb. of dried fruit  :  \frac{\$1.84}{lb.}*\frac{1.25\ lb.}{1}=\$2.30

0.5 lb. of cereal  :  \frac{\$2.38}{lb.}*\frac{0.5\ lb.}{1}= \$1.19

Cost = $2.30 + $1.19 = 3.49

Money = $5

$5 - $3.49 = $1.51 in change

5 0
3 years ago
Over the past month, a hairstylist has had 28 female clients and 12 male clients. What is the ratio of male clients to female cl
maw [93]

Answer:its A. 3/7 because it would be 12:28 so you'd simplify it.


Step-by-step explanation:

12/28=3/7

4 0
3 years ago
Plz answer only if correct :)) <br> (this is trig.ratios) in
slamgirl [31]

Answer:

39

Step-by-step explanation:

Since you want to find the variable x all you have to do is simple subtraction.

The two numbers (61 and 22). Subtract those numbers and you get 39. Now it wants you to round to the jearest hundredth but there is no hundreds place so we can round to the nearest tenth. Which would be 30! Hope it helped... :)!

bye

8 0
3 years ago
I can't figure out how to find the proper area of a prism, can anyone help?
andrey2020 [161]

Answer:

Search Results

Featured snippet from the web

A right prism is made up of two identical, parallel bases on the ends, and the faces are perpendicular to the bases. The formula for finding surface area is 2B + hP (where B is the area of one of the bases, h is the prism's height and P is the perimeter of the base)

Step-by-step explanation:

hope this helps

8 0
3 years ago
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