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sashaice [31]
3 years ago
7

4(2x-1) x=5 solve the problem

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
7 0

Step-by-step explanation:

4(2x-1) ,x=5

4(2(5)-1)

4(10-1)

4(9)

36

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

creativ13 [48]3 years ago
6 0

Answer:

36

Step-by-step explanation:

when you plug 5 into this equation you get 36!

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Answer:

x=9.768

y=6.972

Step-by-step explanation:

For this problem we have to use the trig relationships of cos and sin to figure out the lengths. Cos is equal to adjacent/hypotenuse so we can set it as x/r=.814 and since r is equal to 12 we can do 12 times .814 to get x.

We do a similar process for sin but sin is equal to opposite/hypotenuse so we can set up the equation y/r=.581 and we simply multiply both sides by 12 to get 12*.581 to get y.

Also for future reference adjacent and hypotenuse are based on the angle at use, since ∅ is on the bottom left x is the adjacent side and y is the opposite side.

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2 years ago
In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p
skelet666 [1.2K]

Answer:

\mathbf{P(X=5) =0.0888}    

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

\mathtt{P(X=x) =(^{n}_{x} )   \  \pi^x \  (1-\pi)^{n-x}}

\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} )   \  \pi^x \  (1-\pi)^{n-x}}

where;

n = 8 and π = 0.36

For x = 5

The probability \mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} )   \  0.36^5 \  (1-0.36)^{8-5}}

\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} )   \  0.36^5 \  (0.64)^{3}}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =({8 \times 7 } )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =0.0887645}

\mathbf{P(X=5) =0.0888}     to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5)\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})

{P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times  (0.36)^0  \times  (1-0.36)^8  \ )  +  \dfrac{8!}{1!(7!)} \times  (0.36)^1  \times  (1-0.36)^7  \ +\dfrac{8!}{2!(6!)} \times  (0.36)^2  \times  (1-0.36)^6  \ +  \dfrac{8!}{3!(5!)} \times  (0.36)^3  \times  (1-0.36)^5 +  \dfrac{8!}{4!(4!)} \times  (0.36)^4  \times  (1-0.36)^4  \  +  \dfrac{8!}{5!(3!)} \times  (0.36)^5  \times  (1-0.36)^3  \ )

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1  - P( x  ≤ 5 )

P ( x ≥ 6) = 1  - 0.9707

P ( x ≥ 6) = 0.0293

4 0
2 years ago
Write the equation of the line that passes through the points (-3, -3) and (8,7).
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Answer:

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Step-by-step explanation:

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m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (-3, -3)

(x2, y2) = (8, 7)

Substitute these values into the slope formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}

Thus, slope (m) = 10/11.

Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (-3, -3)

m = 10/11

y - y1 = m(x - x1)

y - (-3) = 10/11[x - (-3)]

Simplify:

y + 3 = 10/11(x + 3) this is the point-slope form.

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2 years ago
At a hardware store a bag holds up to 1 pound of nails. Each penny nail (x) weighs 0.05 pounds and each wood nail (y) weighs 0.1
posledela
For this answer, you multiply the weight of each penny nail by x and the weight of each wood nail by y.  If the bag holds one pound of nails, you would use the inequality ≤.

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3 years ago
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Find the slope and the y-intercept of the graph of y = -5 - 1/2x
ololo11 [35]

Slope:  − 1 /2

y-intercept:  ( 0 , − 5 )

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