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Dmitry_Shevchenko [17]
3 years ago
15

There are20 keys on a keychain. One of the keys starts a car. If a key is randomly chosen what is the probability that it starts

the car
A)5% B)25% C)20% D)15%
Mathematics
1 answer:
pogonyaev3 years ago
7 0
The answer is 5%........


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Can anyone please answer this question thankyou.<br>simplify 6√3-4√3+2 <br><br>​
Aleks [24]

Answer:

The answer for this question is <u><em>2√3 + 2.</em></u>

Step-by-step explanation:

<u><em>6√3 - 4√3 + 2</em></u>

<u><em>= ( 6 - 4 )√3 + 2</em></u>

<u><em>= 2√3 + 2 </em></u><em>  </em><u><em> ans...</em></u>

<u><em></em></u>

Hope its helpful :-)

If so, please mark me as brain-list :-)

5 0
1 year ago
Read 2 more answers
F(x) = x3 - 7 find(3)
ryzh [129]

____________________________________________________

Plug in 3 to x:

f(x) = 3³ - 7

Solve:

f(x) = 3³ - 7

f(x) = 3 · 3 · 3 - 7

f(x) = 9 · 3 - 7

f(x) = 27 - 7

f(x) = 20

____________________________________________________

4 0
3 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

Z = \frac{X - \mu}{s}

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
write in point slope form the equation of a line through (-3, 8) and (7, 6). A. y-6=1/5(x-7), B. y-8=-1/5(x+3), C. y-8=1/5(x=3)
Anna [14]
First you have to find the slope, the slope formula is m = y2 - y1/ x2 - x1

m = y2 - y1/ x2 - x1       (-3, 8)  (7, 6)
m = 6 - 8/ 7 - (-3)
m = -2/10
m = -1/5

point-slope formula;
y - y1 = m(x - x1)            m = -1/5   (-3, 8)
y - 8 = -1/5(x - (-3)
y - 8 = -1/5(x + 3)

so the answer is, B.

hope this helps, God bless!
4 0
3 years ago
Estimate the circumference of the circle to the nearest hundredth. Use π = 3.14
blondinia [14]

Answer:

M

Step-by-step explanation:

M

7 0
2 years ago
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