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Rama09
12 days ago
6

A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how

many students should he include in a random sample if he wants a 90% confidence interval that is less than 10 percentage points wide? (choose the sample size that is closest to your solution) question 7 options:
Mathematics
1 answer:
Leona [9.2K]12 days ago
5 0
Lacking information on the proportion, we will assume the sample proportion is 0.50

thus,
p = 0.50
The margin of error is set at 10 percentage points. This indicates that the error on either side of the population proportion is 5%, so E = 0.05
z = 1.645 (Z value for a confidence level of 90%)

The calculation for the margin of error when estimating population proportions follows:

E=z* \sqrt{ \frac{p(1-p)}{n} } \\ \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} } \\ \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\ \\ 
n= p(1-p)* (\frac{z}{E})^{2} \\ \\ 
n=271

Consequently, 271 students need to be part of the sample.
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Joaquin is constructing the perpendicular bisector of AB. He opens his
Zina [9157]

Answer:

A

Step-by-step explanation:

To construct the perpendicular bisector, follow these steps:

Step 1:

Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.

Step 2:

Keeping the same width, place the compass on point B and create another arc across AB.

Step 3:

With the ruler, connect the two intersection points of the arcs by drawing a line.

Step 4:

This line will be the perpendicular bisector of the segment AB.

Thus, option A is the correct choice.

9 0
26 days ago
Read 2 more answers
Sheri’s cab fare was $32, with a 20% gratuity and no taxes. Sheri wrote a check to the cab driver for $40.
zzz [9066]

Indeed, a fare of $40 is a fair charge for the cab ride.

Explanation

Sheri's cab fare totaled $32, with a gratuity rate of 20%.

The gratuity amount is: \$32* 20\% = \$32*0.20= \$6.40

Thus, the total cab fare including gratuity is: \$32+\$6.40 = \$38.40

Since Sheri issued a $40 check to the cab driver, it indicates she provided ($40 - $38.40) or an extra $1.60 to the cab driver. Consequently, the $40 payment is reasonable for the cab fare.

5 0
1 month ago
Read 3 more answers
Jai Narayan sells two radio sets for 2288 each.
tester [8808]

Answer:

1%

Step-by-step explanation:

The selling price for each radio is $2288.

Total selling price is 2\times 2288=$4576.

Profit is 10%.

Loss is also 10%.

Cost price=\frac{S.P\times 100}{100+gain(in\;percent)}

Cost price=\frac{S.P\times 100}{100-loss(in\;percent)}

Utilizing the formula,

Cost price of the first radio is \frac{2288\times 100}{110}=$2080.

Cost price of the second radio is \frac{2288\times 100}{100-10}=$2542.2.

The combined cost price for both radios totals 2080+2542.2=$4622.2.

Total cost price exceeds total selling price.

Loss equals selling price minus cost price.

Loss is calculated as 4622.2-4576=$46.2.

Loss%=\frac{Loss}{C.P}\times 100

Loss percentage is \frac{46.2}{4622.2}\times 100=1%.

Thus, the loss is 1%.

5 0
26 days ago
The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be used to find
Svet_ta [9486]

Response: Using the Pythagorean theorem, we can set up the equation as 14^2=9^2+x^2

                                     -9^2    -9^2

Thus, our equation simplifies to

x^2=14^2-9^2

8 0
5 days ago
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The graphs below have the same shape. The equation of the blue graph is f(x)=x^2. Which of these is the equation of the red grap
tester [8808]
We observe that
the vertex of f(x) is located at the point (0,0)
and
the vertex of g(x) is situated at (0,5)

thus,
(x,y) in f(x)  becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5

g(x)=x²+5

the answer is
g(x)=x²+5

4 0
1 month ago
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