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Paladinen [302]
3 years ago
6

A survey shows that 45% of the respondents pick option A. Given that 50 people replied, what is the standard error of the propor

tion
Mathematics
2 answers:
QveST [7]3 years ago
3 0
The formula for the standard error is this:
σM = σ / √N

where
σM is the standard error
σ is the standard deviation
N is the number of samples

So,
σM = 0.45 / √50
σM = 0.0636 or 6.36%

The standard error is 0.0636
Fantom [35]3 years ago
3 0

Answer:

i got the same answer as the other guy, but the answer choices are:

A.  7.04%  

B. 14.06%

C.  21.09%  

D.  0.07%


Step-by-step explanation:


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Which triangle is similar to ABC
tankabanditka [31]
The triagle which is similar to ABC id DEF. The first option is correct since thwy have the same measurement of its sides
4 0
3 years ago
What are 2 methods for finding the sale price of an item that is discounted 30%?
anyanavicka [17]
First you have to know the price of item.

EX: Say a candy car costs $1.50. 
The candy bar was marked down 30%.
$1.50 x 30/100 = $.45
The item will decrease $.45.
$1.50 - $.45 = $1.05 





6 0
4 years ago
Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
exis [7]

Answer: choice A. 40 liters

====================================

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

36 - 28 = 0.70*x - 0.50x

8 = 0.20x

0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

6 0
3 years ago
Solve the following inequality. 21&lt;_-3(x - 4) &lt; 30 A. 28&lt;_x &lt; 37 B. -3 &lt;_ x &lt; 6 C. -6 &lt; x &lt;_ -3 D. -10 &
Aloiza [94]

Answer:

Option C -6

Step-by-step explanation:

we have

21\leq -3(x-4)

The compound inequality can be divided into two inequality

21\leq -3(x-4) -----> inequality A

-3(x-4) ----> inequality B

Solve inequality A

21\leq -3x+12

9\leq -3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

-3\geq x

Rewrite

x\leq -3

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

-3x+12

-3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x>-6

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

-6

3 0
3 years ago
An object has been thrown straight up into the air. The formula h = vt - 16t^2 gives the height of the object above the ground a
Oxana [17]

Answer:

8 seconds.

Step-by-step explanation:

To solve this question, we need to find the time, t, when h = 0, that is, when the height of the object above the ground is 0 feet.

Substituting v = 128 feet per second and h = 0 gives  the quadratic:

0 = 128t - 16t^{2}

Since 128 is divisible by 16, it can be reduced to 0 = 16(8t - t^{2}).

We must now solve for t.

We can easily see that one answer to the equation is 0,

8(0) - (0)^{2} = 0 (we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.

The second answer, t = 8 is also easy to see by inspection:

8(8) - (8)^{2} = 0.

Therefore the object lands 8 seconds after it is thrown.

6 0
3 years ago
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