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Nookie1986 [14]
3 years ago
5

Simplify a-c when a=5,c=-1​

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0
5-(-1) or you could simplify it further to 6
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Find a density function f(x,y) such that if (X,Y) has densityf
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5 0
4 years ago
12.
IrinaVladis [17]

Answer:

Length of the room is   180 ft

Step-by-step explanation:

We have a rectangular room with dimensions:

width  =  70  ft       and  length    "x" (unknown)

Perimeter of a rectangle   is   2*w  +  2*x    and according to problem statement 500 ft of lights will fit exactly in room perimeter then:

2*70  +  2*x   =  500

140  + 2*x  =  500

2*x  =  500 - 140

2*x  = 360

x  = 360/2

x  =  180  ft

5 0
3 years ago
Find two positive numbers such that their product is 192 and their sum is a minimum without calculus
harkovskaia [24]

192 = 2^2*2*2*2*2*3

= 16 * 12

= 6 * 32

= 64 * 3

= 8 * 24

= 4 * 48

Looks like its 16 and 12

8 0
4 years ago
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
Margarita [4]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. Anna earns $20 for every 400 envelopes. 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)

Jason 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-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table of Anna and Jason we can see that Anna makes more stuffing than Jason for the same number of envelopes.

c) Anna has a savings of $100 initially. 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

Therefore from the graph there is a y intercept at 100. That is the earnings starts initially is $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 of y at x = 0)

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

D) The trend line pass through the points (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}

4 0
3 years ago
Rachel plays a game by rolling two number cubes with sides numbered 1 through 6 to win the game the sum of the numbers facing up
Artist 52 [7]

The probability that Rachel will win the game is: 1/12

Step-by-step explanation:

The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely

Let S be the sample space

The sample space has 6*6 = 36 outcomes.

Now, Let A be the event that the sum of numbers on both number cubes is 10

A = {(4,6),(5,5), (6,4)

n(A) = 3

P(A)= \frac{n(A)}{n(S)}\\=\frac{3}{36}\\=\frac{1}{12}

The probability that Rachel will win the game is: 1/12

Keywords: Probability, Sample

Learn more about probability at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#LearnwithBrainly

7 0
3 years ago
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