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Anastaziya [24]
3 years ago
8

If there were 30,000 cars produced and later it was found that 222 had a defect in one of the headlight bulbs, what is the proba

bility that any one of
those cars would have the defect?

A. 1/5200
B. 37/5000
C. 2/6235
D. 10/520
Mathematics
2 answers:
Agata [3.3K]3 years ago
4 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

Probability is ratio of number of favorable outcome to total number of outcomes.

Number of cars produced = Total number of outcomes = 30000

Number of defective cars = Number of favorable outcome = 222

\texttt{Probability}=\frac{222}{30000}=\frac{111}{15000}=\frac{37}{5000}

Option B is the correct answer.

OLEGan [10]3 years ago
3 0
B. cause 222/30,000 you divide them both by 5 and you get 37/5000
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Alik [6]
The answer would be 7
7 0
2 years ago
​$4000 is deposited in an account that pays an APR of 8.4​% compounded annually. How long will it take for the balance to reach
patriot [66]

Answer: number of years that it will take for the balance to reach ​$120,000 is 42 years

Step-by-step explanation:

Initial amount deposited into the account is $4000. This means that the principal is $4000

P = 4000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 8.4%. So

r = 8.4/100 = 0.084

Let the number of years that it will take for the balance to reach ​$120,000. It means that it was compounded for a total of t years.

Amount, A at the end of t years is $120,000

The formula for compound interest is

A = P(1+r/n)^nt

120000 = 4000(1 + 0.084/1)^1×t

120000/4000 = 1.084^t

30 = 1.084^t

t = 42 years

8 0
2 years ago
Hello this is two step equations.
Ira Lisetskai [31]
Answer c=12 bellow is a step by step explanation hope it helps

7 0
2 years ago
Assume the competing hypotheses take the following form: H0: µ1 – µ2 = 0, HA: µ1 – µ2 ≠ 0, where µ1 is the population mean for p
DedPeter [7]

Answer:

t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }

Step-by-step explanation:

H0: µ1 – µ2 = 0

HA: µ1 – µ2 ≠ 0

We have given,

The population variances are not known and cannot be assumed equal.

The test statistic for the test is

t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }

Where,

\bar x_1 = sample meaan of population 1

\bar x_2 = sample mean of population 2

n_1 = sample size of population 1

n_2 = sample size of population 2

Therefore, this is the test

t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }

7 0
3 years ago
Find the area of the figure?
Alex777 [14]

Answer:

14 m

Step-by-step explanation:

For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!

6 0
3 years ago
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