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photoshop1234 [79]
3 years ago
7

12a+(−7)+12a=13 what is the value of a

Mathematics
1 answer:
Leni [432]3 years ago
6 0
Rememeber thath you can do anything to an eqation as long as you do it to both sides

12a-7+12a=13
add like terms
24a-7=13
add 7 to both sides
24a=20
divide both sides by 24
a=20/24
a=5/6
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vivado [14]

Answer:

x= {0,1,2,3,4,5,6,7,8,9,10}

Step-by-step explanation:

As the random variable takes the values from 0 ----10 it can be written as

x= {0,1,2,3,4,5,6,7,8,9,10}

The probability of the defective and non defective items would be

P ( defective) = 12/ 100 = 0.12

P ( non defective) = 1-0.12= 0.88

Since the events are independent the probability of defective items in the randomly 10 selected items would be given

P (1/10) * 0.12 +P ( 2/10) * 0.12 + P(3/10)*0.12 ,---------,+P (10/10) * 0.12

Similarly the probability of non defective item s would be

P (1/10) * 0.88 +P ( 2/10) * 0.88 + P(3/10)*0.88 ---------P (10/10) * 0.88

That is the individual probability is multiplied with the probability of the defective or non defective items to get the total probability of defective and non defective items as the events are independent.

6 0
3 years ago
Find the remainder when f(x) = x3 − 14x2 51x − 22 is divided by x − 7.
Contact [7]
The remainder is -8.
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3 years ago
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The main cables of a suspension bridge are ideally parabolic. the cables over a bridge that is 400 feet logn are attached to tow
Novay_Z [31]
Consider the diagram of the problem.

Let the vertex be on the y axis, exactly, at the point (0, 40)

Another point of this parabola is (200, 100), as can be checked from the figure.

The vertex form of the equation of a parabola is :

y=a(x-h)^{2}+k, where (h, k) is the vertex of the parabola, 

replacing (h, k) with (0, 40), we have:

y=ax^{2}+40

to find a, we substitute (x, y) with (200, 100):

100=a200^{2}+40

40,000a=60

a=60/40,000=3/(2,000)

So, the equation of the parabola is y= \frac{3}{2000} x^{2}+40

4 0
3 years ago
105.6 L/h = ___ L/min?
borishaifa [10]

Answer:

(105.6 L / hour) x (hour / 60 min) = (105.6 / 60) = 1.76L / min .



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3 years ago
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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
3 years ago
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