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Luba_88 [7]
3 years ago
12

Help me out , plzzzzz!!

Mathematics
1 answer:
natta225 [31]3 years ago
3 0

Answer:

a. 5,040 ways

b. 210 ways

Step-by-step explanation:

a) We want to pick 4 numbers out of 10 given that orders matter

If orders do matter, it will be a permutation problem

Mathematically;

n P r = n!/(n-r)!

In this case, n is 10 and r is 4

Thus, we have it that;

10 P 4 = 10!/(10-4)! = 5,040

b) if orders do not matter

It will be a combination problem

n C r = n!/(n-r)!r!

n = 10 and r = 4

10 C 4 = 10! /(10-4)!4!

= 210

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In scientific notation is 14,200 000 becomes 1.42 x10'5
lyudmila [28]
You are correct with the 1.42 but wrong with the 10^5
Count the digits after the 1, which is 7. So it should be
1.42 x 10^7
6 0
3 years ago
6: REDUCE to simplest term. 4/1 + 15/2​
vovangra [49]

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

4 0
3 years ago
1. Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
gregori [183]

Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

1 = 0 + b

Now, add 0 to both sides to isolate b.

1 = b

Plug this into your standard equation.

y = 3x + 1

This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)

Hope this helps!

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3 years ago
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