All categories

2 years ago

Problem:

Mathematics

1 answer:

katrin2010 [14]2 years ago

6 0

Answer:

Step-by-step explanation

(2/3) (60/99) = (2/99)(60/3) = (2/99)(20) = 40/99 = .040404......... So.......the sum of the first 15 digits = 7(4) + 7(0) + 0 = 28.

You might be interested in

The sum of two numbers is 62 . The smaller number is 16 less than the larger number. What are the numbers?

Artyom0805 [142]

23 and 39

23 + 39 = 62
39 - 23 = 16

5 0

3 years ago

Read 2 more answers

Stereo speakers are manufactured with a probability of 0.100.10 being defective. TwentyTwenty speakers are randomly selected. Le

olga nikolaevna [1]

Answer:

The expected value of X is 2 with a standard deviation of 1.34.

Step-by-step explanation:

For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Stereo speakers are manufactured with a probability of 0.1 of being defective

This means that $p = 0.1$

Twenty speakers are randomly selected.

This means that $n = 20$

Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.

$E(X) = np = 20*0.1 = 2$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.1*0.9} = 1.34$

The expected value of X is 2 with a standard deviation of 1.34.

6 0

3 years ago

Equation for the line that is perpendicular to the line 4y=5x-8 through the point (-5,4)

Aleonysh [2.5K]

To find the equation for this line, we are going to use point-slope form. First, to find the perpendicular slope, we need to find the slope of the line 4y=5x - 8. To do this, we must transform this equation into slope-intercept form so we can determine the slope.

4y=5x-8

We should divide both sides of the equation by 4 to put the equation into slope-intercept form.

4y/4 = 5x/4 - 8/4

y = 5/4x - 2

Therefore, we can determine that the slope of this equation is 5/4. The slope of the line perpendicular to this line has the opposite reciprocal slope. To find the opposite reciprocal of 5/4, we must make it negative and switch the numerator and the denominator. The opposite reciprocal of 5/4 is -4/5.

Now, we must use this slope and the point we were given, (-5, 4), to write a new equation.

y = m(x-h) + k

y = -4/5(x + 5) + 4

y = -4/5x - 4 + 4

y = -4/5x

Therefore, your answer is y = -4/5x.

Hope this helps!

8 0

2 years ago

7 1/2 as a fraction greater than 1

9966 [12]

Answer:

yes 15/2

Step-by-step explanation:

3 0

1 year ago

See Picture<br><br>Fill the Blank<br>Pls explain

katrin2010 [14]

This is a quadratic function with a constant second difference of +6

7 0

2 years ago