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expeople1 [14]
3 years ago
8

1/2x + x + 1/5y + y = 32

Mathematics
1 answer:
NeTakaya3 years ago
4 0
(1/2)x + x + (1/5)y + y = 32

(3/2)x + (6/5)y = 32
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For each sequence of number
Ostrovityanka [42]

Answer:

sequence determined by a = 2 and d = 3. Solution: To find a specific term of an arithmetic sequence, we use the formula for finding the nth term. Step 1 ...

Step-by-step explanation:

7 0
2 years ago
What are the solutions to the following system of equations? Select the correct answer. y=x^2-4x+8 4x+y=12
lorasvet [3.4K]
Y=x^2-4x+8 and 4x+y=12 so y=12-4x, insert y in the quadratic to get
12-4x=x^2-4x+8
12=x^2+8
0=x^2-4=(x-2)(x+2)
So the solutions are x=2 and x=-2.
7 0
3 years ago
Read 2 more answers
25. In the diagram, CT = 10.<br> What is the length of AB?
klio [65]

Answer:

The length of AB is 4.33012701892

Step-by-step explanation:

1. You find 10*sin(60 degrees), because sin(60 degrees) =  x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.

2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!! Given angle circled dash=208° and a right triangle inscribed within a circle of radius 5, what is the value of x
natta225 [31]

Answer:

  -4.41

Step-by-step explanation:

208° is a 3rd-quadrant angle, so its x-coordinate will be negative. Your calculator can tell you that 5 times the cosine of this angle is -4.41, or you can refer to a diagram.

7 0
3 years ago
Historical data indicates that only 20% of cable customers are willing to switch companies. If a binomial process is assumed, th
Natasha_Volkova [10]

Answer:

a. The probability is 0.735

b. The probability is 0.6296

c. The probability is 0

Step-by-step explanation:

If we assume a binomial process, the probability that x customer are willing to switch companies is:

P(x)=nCx*p^{x}*(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Where n are the 20 cable customers and p is the probability 0.2 that the cable customer are willing to switch companies.

Then, P(x) is:

P(x)=20Cx*0.2^{x}*(1-0.2)^{20-x}

The probability that between 2 and 5 (inclusive) customers are willing to switch companies is:

P(2≤x≤5) = P(2) + P(3) + P(4) + P(5)

Where P(2), P(3), P(4) and P(5) are equal to:

P(2)=20C2*0.2^{2}*(1-0.2)^{20-2}=0.1369

P(3)=20C3*0.2^{3}*(1-0.2)^{20-3}=0.2054

P(4)=20C4*0.2^{4}*(1-0.2)^{20-4}=0.2182

P(5)=20C5*0.2^{5}*(1-0.2)^{20-5}=0.1745

So, P(2≤x≤5) is:

P(2≤x≤5) = 0.1369 + 0.2054 + 0.2182 + 0.1745 = 0.735

At the same way, the probability that less than 5 customers are willing to switch is:

P(x<5)=P(0)+P(1)+P(2)+P(3)+P(4)

P(x<5)=0.6296

Finally, the probability that more than 16 customers are willing to switch is:

P(x>16)=P(17)+P(18)+P(19)+P(20)

P(x>16)=0

7 0
4 years ago
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