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pochemuha
3 years ago
12

Karim's dog weighs 1.5 pounds less than double the weight to Frank's dog. Karim's dog weighs 15 pounds. Which equation and solut

ion can be used to find w, the weight of Frank's dog?

Mathematics
1 answer:
Radda [10]3 years ago
8 0
1. Because

info given:
Karim's dog = 15 pounds
Frank dog = 2x more pounds than Karim's dog + 1.5 pounds

(Karim) Equation 1: 15 = Frank
(Frank) Equation 2: 2w + 1.5

joining equation 1 and 2

15 = 2w + 1.5

Solve

15 - 1.5 = 2w
13.5 = 2w ÷ 2
w = 6.75
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Eva8 [605]

Answer:

R = P(R_1) P(R_2|R_1) P(R_3|R_2)*....*P(R_n |R_1,..., R_{n-1}

For this case the reliability of the sytem would be given by:

R= \prod_{i=1}^n R_i

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6

And replacing we got:

R = 0.95*0.95*0.5*0.79*0.6= 0.21389

Step-by-step explanation:

We can assume that the system work in series

If we have in general n units the reliability of the system is the probability that unit 1 succeeds and unit 2 succeeds and all of the other units in the system succeed. fror n units must succeed for the system to succeed. The reliability of the system is then given by:

R = P(R_1) P(R_2|R_1) P(R_3|R_2)*....*P(R_n |R_1,..., R_{n-1}

For this case the reliability of the sytem would be given by:

R= \prod_{i=1}^n R_i

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6

And replacing we got:

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8 0
3 years ago
Please help me solve this
Tpy6a [65]

Answer:

<u>1st pic:</u>

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

<u>2nd pic:</u>

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

<u>1st pic:</u>

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ \frac{3x}{3} = \frac{147}{3}

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

<u>2nd pic:</u>

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

⇒ 180 - 35 = 145 dgerees

4 0
3 years ago
The function f(x) = (x - 4)(x - 2) is shown below. What is true about the domain and range of the function?​
Arlecino [84]

Answer:

Dom\{f(x)\} = \mathbb{R} (Since polinomial functions are continuous)

Ran\{f(x)\} = [-1, +\infty) (As this quadratic function has an absolute minimum, represented by its vertex)

Step-by-step explanation:

Graphically speaking, quadratic functions are represented by parabolas. In this case, we have a parabola in factorized form. From Theory of Functions, we get that domains of function represents the set of values of x so that exist an image, whose set is known as range is represented by values of f(x).

x is represented by horizontal axis in the figure, whereas f(x) is represented by the vertical axis. By using this approach we get that domain and range of the function are, respectively:

Dom\{f(x)\} = \mathbb{R} (Since polinomial functions are continuous)

Ran\{f(x)\} = [-1, +\infty) (As this quadratic function has an absolute minimum, represented by its vertex)

5 0
4 years ago
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