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Zanzabum
3 years ago
13

Evaluate the given expression and express the result using the usual format for writing numbers (Instead of scientific notation)

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

{^{27}}C_{3}=2925

Step-by-step explanation:

To evaluate {^{27}}C_{3}

Using the formula

{^n}C_{r}=\frac{n!}{r!(n-r)!}\\\\{^{27}}C_{3}=\frac{27!}{3!(27-3)!}\\\\{^{27}}C_{3}=\frac{27!}{3!24!}\\\\{^{27}}C_{3}=\frac{(27)(26)(25)}{3.2.1}\\\\{^{27}}C_{3}=2925

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Given the data set, find the M.A.D.: 87,75, 85, 77, 74,<br> 82, 90, 88, 79, 83*
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5 0
3 years ago
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

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3 years ago
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Answer:

A

Step-by-step explanation:

beacause if you try to multiple 4x7.5 divided by 2 try it

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3 years ago
How do I solve this
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Hello,

x^2-2x-27=-5x+1\\&#10;&#10;x^2-2x+5x-27-1=0\\&#10;&#10;x^2+3x-28=0\\&#10;&#10;x^2+7x-4x-28=0\\&#10;&#10;x(x+7)-4(x+7)=0\\&#10;&#10;(x+7)(x-4)=0\\&#10;&#10;x=-7\ or\ x=4\\&#10;
8 0
3 years ago
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