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tatyana61 [14]
3 years ago
5

Translate the statement into a confidence interval for p. Approximate the level of confidence.

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Answer:

The interval is approximately a 98% confidence interval

Step-by-step explanation:

From the question :  Error, E= 3% = 0.03, Total population, n=1000,  number of people that are concerned that their taxes will be audited, p = 19% = 0.19

E^{2}=z_{\alpha/2}^{2}\cdot \frac{p(1-p)}{n}

0.03^{2}=z_{\alpha/2}^{2}\cdot \frac{0.19(1-0.19)}{1000}

z_{\alpha/2}^{2}=5.848

z_{\alpha/2}=2.418

Area right to 2.418 is 0.0078. So

\alpha/2=0.0078

Therefore \alpha=0.0156\approx 0.02

Thus, the interval is approximately a 98% confidence interval.

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Find the area of the shaded region.<br> help pls
umka2103 [35]

Answer:

1. 50 m

2. 80 cm

Step-by-step explanation:

1. There are 2 triangles, subtract the area of 1 of them from the other.

The triangle that needs to be subtracted: b = 20 m, h = 10 m

A = 1/2b * h = 1/2(20) * 10 = 10*10 = 100 m

The big triangle, the one that needs to be subtracted plus the one you need to find the area of: b = 20 cm, h = 15 cm, 1/2(20) * 15 = 10 * 15 = 150

150 - 100 = 50 c

2. Divide it into 3 parts:

1- 3*4 = 12

2. 7*(4 + 4) = 7*8 = 56

3. [(4 + 4) * (13 - 7 - 3)]/2 = (8*3)/2 = 24/2 = 12

12 + 56 + 12 = 80 cm

7 0
3 years ago
Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
Kobotan [32]

Given:

CDEF is dilated by a scale factor of \dfrac{3}{4} to form the quadrilateral C'D'E'F'.

To find:

The measure of side E'F'.

Solution:

If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.

CDEF is dilated by a scale factor of \dfrac{3}{4} to form the quadrilateral C'D'E'F'. So,

E'F'=\dfrac{3}{4}\times EF

From the given figure it is clear that EF=12. So,

E'F'=\dfrac{3}{4}\times 12

E'F'=9

Therefore, the measure of side E'F' is 9 units.

7 0
2 years ago
I need help please i would be grateful
vitfil [10]
N+9

The other factor is n-6

Once multiple together, you will get the same equation again
3 0
2 years ago
Solve the system of equations and choose the correct answer from the list of options. (4 points)
Viefleur [7K]

Answer:

Negative 8 over 5 comma negative 6 over 5

8 0
2 years ago
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel,
Vadim26 [7]

Answer:neither, neither, perpendicular , neither

parallel

Step-by-step explanation:put each line in the form y=mx+b

if m=m they are parallel

if m times m = -1 they are perpendicular

if the m’s are unrelated than neither

5 0
2 years ago
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