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valentina_108 [34]
3 years ago
9

Use the given information to construct a 99% confidence interval estimate of the mean of the population. n = 39, σ = 3.86, Xbar

= 41.7
40.1 < μ < 43.3



40.5 < μ < 42.9



–9.4 < μ < 92.8



41.4 < μ < 42.0
Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

40.1 < μ < 43.3

Step-by-step explanation:

Margin of error = critical value × standard error

ME = CV × SE

At 99% confidence and 38 degrees of freedom, CV = 2.712.

SE = s / √n

SE = 3.86 / √39

SE = 0.618

So the margin of error is:

ME = 2.712 × 0.618

ME = 1.7

So the 99% confidence interval of the population mean is:

μ = 41.7 ± 1.7

40.0 < μ < 43.4

Closest answer is the first one.

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A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
LekaFEV [45]
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
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Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
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</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
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7 0
3 years ago
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Lelechka [254]

Answer:

30:1

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1. Look at the graph and follow along the lines.

2. When x is 1 in hours then cakes are 30.

3. So we can write the ratio from cakes to hours.

4. The ratio is 30:1.

5 0
3 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
nikitadnepr [17]
You can start with the form
  ∆y(x -x1) -∆x(y -y1) = 0
Here, we have
  ∆y = 11-(-3) = 14
  ∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
  14(x -1) -(-4)(y -(-3)) = 0
  14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:

  7x +2y = 1

6 0
3 years ago
What is the degree measure of x? A) 67° B) 88° C) 111° D) 134°
Crank

Answer:

D

Step-by-step explanation:

or, x=88+46(exterior angle is equal to sum of two opposite interior angle)

or, x=134

7 0
3 years ago
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

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

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
3 years ago
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