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Slav-nsk [51]
3 years ago
5

Probability question, which I am stuck on!

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

To solve this question, first we need to find the probability of landing a 3.

The sum of all probabilities need to be 1, so:

0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1

p(3) = 1 - 0.88 = 0.12

If we roll the dice 300 times, the expected number of times the dice will land:

on 3: 300 * p(3) = 300 * 0.12 = 36 times

on 4: 300 * p(4) = 300 * 0.21 = 63 times

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EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0
4 years ago
2.8*10⁶=?<br>solve the equation​, please
garri49 [273]

Answer:

2800000

Step-by-step explanation:

10^6 means 1000000

2.8 x 1000000 = 2800000

7 0
3 years ago
If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rect
Veseljchak [2.6K]

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

4 0
3 years ago
Two angles are supplementary. If the measure of the first angle is 88° what is the measure of the second angle?
DiKsa [7]

Answer:

92

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Are the equations 3x = -9 and 4x = -12 equivalent? Explain
denis23 [38]

4(3x) = 4( - 9) \\ 12x =  - 36
3(4x) = 3( - 12) \\ 12x =  - 36
So the equations are equal
3 0
3 years ago
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