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3 years ago

If you have a 5 letters A,B,C,D,E and you can put them in any order how many ways can you place them

1 answer:

4 0

The first letter can be any one of 5. For each of those . . .
The second letter can be any one of the remaining 4. For each of those . . .
The third letter can be any one of the remaining 3. For each of those . . .
The fourth letter can be any one of the remaining 2. For either of those . . .
The fifth letter is the last remaining one.

Total number of possibilities = (5 x 4 x 3 x 2 x 1) =

 120 ways to line them up.

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makes you cool. Maybe it does make you one of the crowd, but life
is not a war between you and school. School is simply something that
a lot of grown-ups spend a lot of money on, and a lot of teachers spend
their whole life on, to make sure that a lot of kids won't go through their
whole life stupid. You can learn everything you ever want to know there,
and it's all free. That's a pretty good deal.

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

3 years ago

The u.s. dairy industry wants to estimate the mean yearly milk consumption. a sample of 16 people reveals the mean yearly consum

lidiya [134]

1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.

3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75

4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)

5. Since the interval include 63, it is reasonable.

3 0

3 years ago

Walter from a leaking faucet is dripping into a cylindrical cup. The weight of water in inches, why, after x hours is graphed be

Anastasy [175]

Answer:

CStep-by-step explanation:

7 0

3 years ago

46h+56h=600 please solve

valentinak56 [21]

Answer:

5.88235294118

Step-by-step explanation:

Step 1:

46h + 56h = 600 Equation

Step 2:

102h = 600

Step 3:

h = 600 ÷ 102

Answer:

h = 5.88235294118

Hope This Helps :)

3 0

3 years ago

Which expression is equivalent to 6(a—3)

torisob [31]

Answer:

6a-18

Step-by-step explanation:

8 0

3 years ago