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anygoal [31]
3 years ago
10

g Suppose we want to know what proportion p of students in a large university have studied calculus in high school. At least how

many students should we include in a sample if we want to estimate p with an error bound of 0.03 (at most) with 95% confidence
Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

1067

Step-by-step explanation:

Given that:

Error (E) = 0.03

Confidence interval = 95% = 0.95

Sample size (n) = ((Zα/2) / Error)^2 * p(1 - p)

Since no assumption is given ; p = 0.5

α = 0.95

Z(1-α/2) = 1.96

(1.96 / 0.03)^2 * 0.5(1 - 0.5)

(65.333333)^2 * 0.5(0.5)

4268.4444 * 0.25

= 1067.1111

n = 1067

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Now how many numbers did you add?

You added 10

so now divided

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that is the mean of those numbers!

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3 years ago
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Carl runs 100 meters in 10 seconds. Anthony runs 200 meters in 19.6 seconds. Who has
Eddi Din [679]

Answer:carl

Step-by-step explanation:

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3 years ago
An open box of maximum volume is to be made from a square piece of material 24 cm on a side by cutting equal squares from the co
mr Goodwill [35]

Answer:

V = x(24 - x)^2 cm^3.

Domain = (0, 24).

Step-by-step explanation:

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The height of the box will be x cm.

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5 0
3 years ago
The length of a rectangle is 7cm more than twice the width. When just the width is tripled, the perimeter of the resulting recta
grin007 [14]

Answer:

Length = 27cm

Width = 10cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

If the length of a rectangle is 7cm more than twice the width, then;

x = 2y + 7

Since P = 2(x+y)

P = 2(2y+7+y)

P = 2(3y+7)

P = 6y+14

If the width is tripled, P = 74

74 = 6y+14

6y = 74-14

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Since x = 2y+ 7

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8 0
3 years ago
I'm not sure what I need to do. I know how to do it with numbers but not letters and shapes like this​
Dominik [7]

Answer:

It would be a/c

Step-by-step explanation:

Since you're solving for angle F, you have to look at it from the angle F's perspective. Sin is opposite/hypotenuse. I recommended labeling the sides with H, O and A to make it less confusing. The letter opposite angle F is a, so you can label that "O". The side adjacent to angle F is b, so label that side "A" and the side c can be labeled as "H". Since sin is O/H, the correct answer would be a/c.

7 0
3 years ago
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