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Marat540 [252]
3 years ago
9

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles.

A person draws one marble from each bag. Find the probability that both marbles are of the same color? 21/40 1/2 3/14
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0

Answer:

The correct answer is option A,

21/40\\

Step-by-step explanation:

The probability of choosing marble from each bag is independent of each other. Thus, the probability of drawing a black and white marble from each bag can be added directly.  

The probability of getting both white marbles  

= 3/8 * 4/10\\=12/80

The probability of getting both black marbles  

5/8 * 6/10\\= 30/80\\

The probability of getting the marbles of same colour is  

12/80 + 30/80\\=42/80\\= 21/40\\

Troyanec [42]3 years ago
5 0
It will be 21/40

probability getting both white marbles

3/8×4/10=12/80

probability getting both black marbles

5/8×6/10=30/80

12/80+30/80=42/80= 21/80
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(03.01 MC) The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the
Alexxandr [17]

Answer:

√41, or about 6.4 units

Step-by-step explanation:

\sqrt{ {5}^{2}  +  {4}^{2} }  =  \sqrt{25 + 16}  =  \sqrt{41}

√41 is about 6.4 units

4 0
1 year ago
At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a
prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 950, \sigma = 30

What is the probability that the line pressure will exceed 1000 kPa during any measurement

This is 1 subtracted by the pvalue of Z when X = 1000. So

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

Z = \frac{1000 - 950}{30}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

7 0
3 years ago
How do you change 0.16666 in a fraction
Natasha_Volkova [10]
Here's how to convert 0.16666 to a fraction...

There is not much that can be done to figure out how to write 0.16666 as a fraction, except to literally use what the decimal portion of your number, the .16666, means.

Since there are 5 digits in 16666, the very last digit is the "100000th" decimal place.

So we can just say that .16666 is the same as 16666/100000.

The fraction 16666/100000 is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.

Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 16666 and 100000.
So, this fraction reduced to lowest terms is 8333/50000

So your final answer is: 0.16666 can be written as the fraction 8333/50000

3 0
3 years ago
Read 2 more answers
at a conference of 250 people, 30% of the participants are french, 35% are americans, 20% are germans, and the rest are of the o
Lady bird [3.3K]
Ok...we got 250 people
30% are French, 35% are Americans, 20% are Germans....thats 85%.
This means 15% are from other countries

3 not from other countries...
0.85 * 0.85 * 0.85 = 0.6

0.6(250) = 150 students <===
5 0
3 years ago
Question 13
charle [14.2K]

The amount to be invested today so as to have $12,500 in 12 years is  $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

  • r = interest rate = 5.5 / 365 = 0.015%
  • m = number of compounding = 365
  • n = number of years  = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 5.3 / 12 = 0.44%
  • n = 13 x 12 = 156

200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = 6.7 / 12 = 0.56%
  • n = 2 x 12 = 24

$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

4 0
1 year ago
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