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3 years ago

30minutes divided by 5hours

Mathematics

1 answer:

pishuonlain [190]3 years ago

5 0

60 minutes make an hour therfore 60 muliplyied by 5 is 300 then 30 divided by 300=0.1 minutes

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Determine the equation of each line with the following properties:

iris [78.8K]

Answer:

a) y =2/3 x + 7.

b) x = -1

c) y = -4/5 x - 1/5

d) y = -3/2 x + 5/2.

Step-by-step explanation:

a) Intercept form y = mx + b where m = 2/3 and b = 7

b) y can take any value but x is always -1.

c) Slope m = (-1-3)/ (1 - -4)

= -4/5

Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:

y - y1 = m(x - x1)

y - -1 = -4/5(x - 1)

y + 1 = -4/5x + 4/5

y = -4/5 x - 1/5

d) The slope m of the line perpendicular to this line is:

-1 / 2/3

m = -3/2.

When x = -1 , y = 4 so using the slope intercept form of a line

y = mx + b

4 = -3/2 * -1 + b where b = the y-intercept.

4 = 3/2 + b

b = 4 - 3/2 = 5/2.

The equation is y = -3/2 x + 5/2.

3 0

3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

MAVERICK [17]

Answer:

Probability Mass Function:

x: 0 1 2 3

P(x): 0.000064 0.004608 0.115902 0.884736

Step-by-step explanation:

We are given the following information:

We treat correct classification as a success.

P(correct classification) = 0.96

Then the number of classification follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3 and x = 0, 1, 2, 3

We have to evaluate:

$P(x = 0)\\= \binom{3}{0}(0.96)^0(1-0.96)^3\\=0.000064$

$P(x = 1)\\= \binom{3}{1}(0.96)^1(1-0.96)^2\\=0.004608$

$P(x = 2)\\= \binom{3}{2}(0.96)^2(1-0.96)^1\\=0.115902$

$P(x = 3)\\= \binom{3}{3}(0.96)^3(1-0.96)^0\\=0.884736$

PMF:

x: 0 1 2 3

P(x): 0.000064 0.004608 0.115902 0.884736

8 0

3 years ago

A goalie makes 20 saves in 4 games. What is the unit rate of saves per game?

solong [7]

Answer:

5 saves per game

20 divided by 4

7 0

3 years ago

Read 2 more answers

Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for ass

Inessa05 [86]

Answer:

The probability that the next customer will purchase a wireless phone is 0.1

Step-by-step explanation:

The relative frequency approach states<em> how often something happens divided by all outcomes</em>.

In the example some of the customers entering a supermarket purchased a wireless phone.

Here all outcomes are 500 customer entering supermarket. And among these outcome purchasing wireless phone happened 50 times.

Then the probability that the next customer will purchase a wireless phone is

$\frac{50}{500}$ .

If we divide both sides by 50, we get $\frac{1}{10}$ =0.1

3 0

3 years ago

Your teacher writes the fact below on the board.Using only mental math, will the answer be less than or greater than 5? How do y

Levart [38]

Answer:

Less than 5

Step-by-step explanation:

The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.

Hope this helps :)

4 0

2 years ago