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3 years ago

A line passers through the point (2,-4) and has a slope of 0, what is the equation of the line?

1 answer:

5 0

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})~\hspace{7em} slope = m\implies 0 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=0(x-2)\implies y+4=0\implies y=-4$

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if you multply two decimals that are less than 1 , can you predict whether the product will be less than or greater than either

nekit [7.7K]

Yes. Multiplying anything by a number less than one will decrease the original number. So multiplying two decimals will result in a number less than either one.

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3 years ago

A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c

Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let X = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, p = 0.50.

The total number of questions is, n = 10.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.50.

The probability mass function of X is:

$P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...$

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of X.

Consider the probability distribution attached below.

The value of x for which P (X ≤ x) is at least 0.95 is, x = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0

2 years ago

3x + y - z= -6 2x - y + 2z = 8 4x + y - 3z = -21

Flauer [41]

Answer:

x=-1

y=4

z=7

Step-by-step explanation:

3x + y - z= -6(1)

2x - y + 2z = 8(2)

4x + y - 3z = -21(3)

(1)+(2): 5x+z=2(4)

(2)+(3): 6x-z=-13(5)

(4)+(5): 11x=-11

x=-1

so z=2-5x=7

y=-6-3x+z=4

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3 years ago

Determine the average speed of the current in a river if a boat moves at 20 miles/hour in still water and takes 3 hours to trave

Taya2010 [7]

The speed of the current in a river is 6 miles per hour

Solution:

Given that,

Speed of boat in still water = 20 miles per hour

Time taken = 3 hours

Distance downstream = 78 miles

To find: Speed of current

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:

Speed downstream = (u + v) km/hr

Speed upstream = (u - v) km/hr

Therefore, speed downstream is given as:

$\text{ speed downstream } = \frac{distance}{time} = \frac{78}{3}\\\\\text{ speed downstream } = 26 \text{ miles per hour }$

We know that,

Speed downstream = (u + v)

26 = 20 + v

v = 26 - 20

v = 6 miles per hour

Thus speed of the current in a river is 6 miles per hour

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2 years ago

45633 seconds en heures minutes et seconds

Sever21 [200]

Yes. I totally agree with that statement. 10/10

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3 years ago