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
Zigmanuir [339]
3 years ago
7

An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sampl

e of vehicles in order to estimate that percentage with a margin of error of 5​% and 95​% confidence. To gauge the size of the​ problem, the agency first picks 50 cars and finds 12 with faulty emissions systems. How many should be sampled for a full​ investigation?
Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

197

Step-by-step explanation:

Sample proportion is; p^ = 12/50 = 0.24

Margin of error of 5% is given by the formula;

ME = (z_0.05) √[p^(1 - p^)/n]

Let's make n(number of sample) the subject.

n = ((z_0.05)/ME)²((p^)(1 - p^))

From tables, the z-score of 0.05 is 1.645

Thus;

n = ((1.645)/0.05)²(0.24(1 - 0.24))

n ≈ 197

You might be interested in
The volume (V) of water stored in an open tank varies due to evaporation as
Elena L [17]
75 is your answer

Hope this helped

Happy Holidays!
7 0
3 years ago
Read 2 more answers
Match the correct translation with the given transformation.
VLD [36.1K]

Answer:

1. a-b

2. a-d

3. c-e

4. g-f

5. a-h

6. e-j

5 0
3 years ago
An angle measures 61º. What is the measure of its supplement? HELP ME PLEASE
Irina-Kira [14]
The supplement of 61 degree is 119 degrees
180-61=119
3 0
3 years ago
What number can be added to n and is equal to 200​
kirill [66]
N is an number you make up or your teacher so we need to know what n equals
8 0
3 years ago
Read 2 more answers
HELP!
maksim [4K]

<u>Part A</u>

<u />4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3

So, the x-intercepts are \boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}

<u>Part B</u>

The vertex will be a minimum because the coefficient of x^2 is positive.

The x-coordinate of the vertex is x=-\frac{-7}{2(4)}=\frac{7}{8}

Substituting this back into the function, we get f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}

So, the coordinates of the vertex are \boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}

<u>Part C</u>

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0
2 years ago
Other questions:
  • Let w represent the possible weights of boxes on a delivery truck. For this type of delivery, the weight of the box must be with
    15·1 answer
  • Help please! 99 Points!
    14·2 answers
  • Four Fifths of 2/3 would be what number?
    8·1 answer
  • Each morning, Zack leaves his house at 6:35 A.M. It takes Zack 10 minutes to walk to the bus stop. Zack rides the bus for 30 min
    10·1 answer
  • Solve for x...<br><br> Z = 8(x-h) <br><br> X = ????<br><br> Please state what X is...
    5·2 answers
  • What is 27/9?????????? help :) plz
    11·2 answers
  • What are the intercepts of the line?
    5·2 answers
  • Which expression is equivalent to 2(x + 5) for all values of x? A) 2x + 5 B) x + 10 C) 2x + 7 D) 2x + 10
    13·1 answer
  • PLEASE HELP ASAP!!! i’ll mark brainlest
    6·1 answer
  • Need help please thank you if you help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!