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tekilochka [14]
3 years ago
10

8a – 6+2=-7+ 7a solve the

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

A = -3

8a-6+2=-7+7a

Add 2 to -6

8a-4=-7+7a

Subtract 7a from 8a

Add 4 to -7

Then you get

A= -3

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Number 5 but if u can do number 6 that would be great ✋
mamaluj [8]

Answer:

5: 45 miles

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Step-by-step explanation:

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After flying between two black holes, our engines have been a bit janky. The probability of one of any of our 8 power couplings
otez555 [7]

Answer:

Step-by-step explanation:

We would apply the formula for binomial distribution. It is expressed as

P(x = r) = nCr × q^(n - r) × p^r

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q represents probability of failure.

n represents number of sample.

From the information given,

p = 10% = 10/100 = 0.1

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1)The probability that none fails is

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2) The probability that one fails is

P(x = 1) = 8C1 × 0.9^(8 - 1) × 0.1^1

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3) The probability that four fails is

P(x = 4) = 8C4 × 0.9^(8 - 4) × 0.1^4

P(x = 4) = 0.0046

3) The probability that six fails is

P(x = 6) = 8C6 × 0.9^(8 - 6) × 0.1^6

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2 years ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
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We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
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To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

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Where:

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So, we replace in the theorem:

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  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
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  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
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okay let's start

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use \: sine \: rule \\  \frac{x}{ \sin(31) }  =  \frac{42}{ \sin(59) }  \:  \: taking \: angle \: at \: c \: as \: 90 \\ x =  \frac{ 42 \sin(31)}{ \sin(59)} \\ x = 25.236146

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Step-by-step explanation:

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