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My name is Ann [436]
4 years ago
12

a random sample of size 200 is drawn from a large population. The population standard deviation is 1.2. The sample mean is 15.8.

Estimate the size of the population mean including margin of error.

Mathematics
1 answer:
Marrrta [24]4 years ago
3 0

Step-by-step Answer:

N=sample size = 200

sigma = population standard deviation = 1.2

s=Sample mean = 15.8


Best estimate of population mean = 15.8

standard error = sigma / sqrt(N)

= 1.2/sqrt(200)

= 0.08485

Therefore

estimate of population mean = 15.8 +/- 0.0848


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Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP
Svetach [21]
The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is 
(1,3) or
\vec{QP} = \hat{i} + 3\hat{j}

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)
The magnitude is √(10).

8 0
3 years ago
The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. What is the function written in vertex form?
pychu [463]
F(x) = 5(x + 4) – 80
f(x) = 5(x + 8) – 80
f(x) = 5(x + 4)2 – 80
f(x) = 5(x + 8)2 – 80
4 0
3 years ago
Hey guys please help find the area
V125BC [204]

Answer:

70.15 ft²

Step-by-step explanation:

The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).

If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.

The formula for the area of a triangle is (1/2)(base)(height).  Remembering to multiply this by 2, we get

area of figure = (base)(height)

                                             √3

                       = (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²

                                               2

4 0
3 years ago
Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.
Andre45 [30]

Answer: $28,752

Explanation:

The<u> definition of bimonthly</u> is an event that happens once in two months. -bi represents "two", while -monthly represents "event that happens by month.

Given that Glenda receives a salary of <u>$4,792 bi-monthly</u>, we are required to find the earnings per year.

There are <u>12 months in each year</u>, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

12/2=6

Finally, we shall <u>multiply the total number with the salary</u>, which will be $4,792 times 6.

4792*6=\boxed{28752}

Hope this helps!! :)

Please let me know if you have any questions

3 0
3 years ago
How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?
nirvana33 [79]
To get the volume of the pile it is 4 x 4 x 16 so if each cord is =to 1 then the answer is 256
3 0
3 years ago
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