1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
3 years ago
15

A production manager randomly sampled production lines at a factory that produces automobiles. She wanted to find out how many p

roduction lines caused defects in newly produced automobiles. The proportion of production lines that caused defects was 0.08, with a margin of error of 0.01. Construct a confidence interval for the proportion of production lines that caused defects
Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).

Step-by-step explanation:

A confidence interval for a population proportion is a function of the sample proportion and the margin of error.

The interval has two bounds, a lower bound and an upper bound.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this problem, we have that:

Sample proportion 0.08

Margin of error 0.01

0.08 - 0.01 = 0.07

0.08 + 0.01 = 0.09

The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).

You might be interested in
What is 1 ten thousand + 19 thousands+ 2 tens+ 9 ones in standard form
Lynna [10]
The answer is 29029
10000+19000+20+9=29029
3 0
3 years ago
Help I will be marking brainliest!!!
Keith_Richards [23]
<h3>Answer:  A.  18*sqrt(3)</h3>

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

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer

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

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

4 0
2 years ago
Jamal simplified ...
brilliants [131]
\bf \sqrt{75x^5y^8}\qquad &#10;\begin{cases}&#10;75=3\cdot 25\\&#10;\qquad 3\cdot 5^2\\&#10;x^5=x^{4+1}\\&#10;\qquad x^4x^1\\&#10;\qquad (x^2)^2x\\&#10;y^8=y^{4\cdot 2}\\&#10;\qquad (y^4)^2&#10;\end{cases}\implies \sqrt{3\cdot 5^2\cdot (x^2)^2x(y^4)^2}&#10;\\\\\\&#10;5x^2y^4\sqrt{3x}
4 0
2 years ago
Which logarithmic equation is equivalent to 2^5=32?
kolbaska11 [484]

Answer: 5=log_{2}(32)


Step-by-step explanation:

1. By definition, you have if y=b^{x}, then x=log_{b}(y)

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

2^{5}=32

Where:

x=5\\y=32\\b=2

- Substitute values into x=log_{b}(y). Then, you obtain:

5=log_{2}(32)


6 0
3 years ago
Read 2 more answers
Tim currently makes $13.26 an hr. plus gets paid 10 days of vacation. How many days/or hours would he have to work in order to b
Marrrta [24]
I would divide the 18000 by 13.26 to get the number of hours needed.
18000/13.26~169.7 days with 8 hour shifts.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What are the 13 numbers of Pi ?
    8·1 answer
  • Simplify this expression.<br> 3^5/3^3
    5·2 answers
  • A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is
    5·2 answers
  • explain step by step how to solve. please point out any similarities in the steps used for each question
    9·1 answer
  • Marco has $38.43 dollars in his checking account. His checking account is linked to his amazon music account so he can buy music
    13·1 answer
  • Solve the equation. 19 + n = 30 19+n=3019, plus, n, equals, 30 n = n=
    8·1 answer
  • Can someone help me solve this problem!!?
    14·1 answer
  • Which of the following is a solution to the inequality below?
    14·1 answer
  • Which number best represents the slope of the graphed line?
    9·1 answer
  • In total, 2 baseballs and 3 footballs cost $67. a football is $4 more than 3 times the cost of a baseball. find the cost of a ba
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!