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Mrac [35]
3 years ago
14

Solve for x. 2(x - 4) = 6(x + 2) -2 -1 -5 4

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0
Distribute on both sides

2x - 8 = 6x + 12

Move x to one side

-20 = 4x

Divide by 4

-5 = x
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A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the n
Ratling [72]

Answer:

a)

k = \dfrac{1}{21}

b) 0.476

c) 0.667    

Step-by-step explanation:

We are given the following in the question:

Y = the number of forms required of the next applicant.

Y: 1, 2, 3, 4, 5, 6

The probability is given by:

P(y) = ky

a) Property of discrete probability distribution:

\displaystyle\sum P(y_i) = 1\\\\\Rightarrow k(1+2+3+4+5+6) = 1\\\\\Rightarrow k(21) = 1\\\\\Rightarrow k = \dfrac{1}{21}

b) at most four forms are required

P(y \leq 4) = \displaystyle\sum^{y=4}_{y=1}P(y_i)\\\\P(y \leq 4) = \dfrac{1}{21}(1+2+3+4) = \dfrac{10}{21} = 0.476

c) probability that between two and five forms (inclusive) are required

P(2\leq y \leq 5) = \displaystyle\sum^{y=5}_{y=2}P(y_i)\\\\P(2\leq y \leq 5) = \dfrac{1}{21}(2+3+4+5) = \dfrac{14}{21} = 0.667

8 0
3 years ago
Item 4 Evaluate. 6^2+(3⋅4)− 2^4
ELEN [110]

Answer: 32

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7 0
3 years ago
Read 2 more answers
An object is launched from a platform.
Bess [88]

Answer:

60 feet

Step-by-step explanation:

The height, h (in meters), of the object launched from a platform is represented by the equation

h=h(x)=-5x^2+20x+60

where x is the time (in seconds) passed after the launch.

The time of launch is x=0 (0 seconds passed after the launch)

Substitute x=0 to find the height:

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4 0
4 years ago
Can someone answer the question please.<br> Identify the vocabulary word that matches the picture. ​
kozerog [31]
There is no picture
6 0
4 years ago
Simplify the expression the root of negative one all over the quantity of four minus three i minus the quantity of two plus five
svlad2 [7]
We will break this down into its parts:
We know that this is a fraction where the numerator is √(-1) = i
The denominator:
4 - 3i - (2 + 5i); we put 2 + 5i in brackets because we are to subtract its quantity.
Simplifying the denominator:
4 - 3i - 2 - 5i
= 2 - 8i
Now, we write the expression in fractional form:
i / (2 - 8i)
To remove an imaginary number from the denominator, we multiply and divide by its conjugate. The conjugate of a + bi is a - bi
i(2 + 8i) / (2² - (8i)²)
= (-8 + 2i) / (4 + 64)
= -2/17 + i/34
4 0
4 years ago
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