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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
For z = –3 – 5i, which graph shows z and the product of z · i?
earnstyle [38]

Answer:

A

Step-by-step explanation:

z = -3 - 5i

z (i) = i (-3 - 5 i)

z (i) = -3i - 5i^2

z (i) = -3i - 5 (-1)

z (i) = -3i + 5

z (i) = 5 - 3i

Therefore, letter A is the correct answer.

3 0
3 years ago
A car dealership is buying a car for $10,500. They plan to sell it at $15,540. Calculate the percent increase.
lianna [129]

Answer:

67.5 percent (if you're rounding up 68 percent)

Step-by-step explanation:

10,500/15,540 which equals 0.675 turn this into a percent which is 67.5%

8 0
2 years ago
A bag contains 13 pieces of candy. In how many ways can five pieces be selected?
Whitepunk [10]

Five pieces can be selected in 1287 ways

Step-by-step explanation:

When the selection has to be made without considering the order of selection, combinations are used.

The formula for combination is:

C(n,r) = \frac{n!}{r!(n-r)!}

Here

Total candies = n = 13

Candies to be selected = r = 5

Putting the values in the formula

C(13,5) = \frac{13!}{5!(13-5)!}\\=\frac{13!}{5!8!}\\=1287\ ways

Five pieces can be selected in 1287 ways

Keywords: Combinations, selection

Learn more about combinations at:

  • brainly.com/question/11203617
  • brainly.com/question/11253316

#LearnwithBrainly

3 0
3 years ago
Help please, and explain(step-by-step) how the answer would be correct.
vekshin1

When a function is reflected, it must be reflected over a line

The new function is: y = |4 -x| -8

The equation is given as:

y = |x + 4| - 8

The rule of reflection over the y-axis is:

(x,y) \to (-x,y)

So, we have:

y = |-x + 4| -8

Rewrite as:

y = |4 -x| -8

Hence, the new function is:

y = |4 -x| -8

Read more about reflections at:

brainly.com/question/938117

8 0
3 years ago
Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4
Llana [10]

Answer:

-64

Step-by-step explanation:

a(b - c)

a = -8

b = 12

c = 4

So, you'd plug in those numbers:

-8(12 - 4)

You'd start within the parenthesis's, so:

(12 - 4), which equals (8)

-8(8)

= -64

8 0
2 years ago
Read 2 more answers
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