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VashaNatasha [74]
3 years ago
15

What number do you use to divide 180 by to get 1.8

Mathematics
2 answers:
aliina [53]3 years ago
7 0
You have to divide 180 by 90.5 to get 1.8

Natalija [7]3 years ago
3 0
You use 100 to get 1.8
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The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide,
zvonat [6]

Answer:

  • <u>92 cm²</u>

Explanation:

The area of the <em>octagon</em> may be calculated as the difference of the area of the original square and the area of the four corners cut off.

1) <u>Area of the square</u>.

The original square's side length is the same wide of the formed octagon: 10 cm.

So, the area of such square is: (10 cm)² = 100 cm².

2) <u>Area of the four corners cut off</u>.

Since, the corners were cut off two centimeters from each corner, the form of each piece is an isosceles right triangle with legs of 2 cm.

The area of each right triangle is half the product of the legs (because one leg is the base and the other leg is the height of the triangle).

Then, area of one right triangle: (1/2) × 2cm × 2cm = 2 cm².

Since, they are four pieces, the total cut off area is: 4 × 2 cm² = 8 cm².

3) <u>Area of the octagon</u>:

  • Area of the square - area of the cut off triangles = 100 cm² - 8cm² = 92 cm².

And that is the answer: 92 cm².

4 0
3 years ago
A nationwide survey of seniors by the University of Michigan reveals that almost 18.0% disapprove of daily pot smoking. If 8 sen
UNO [17]

Answer:

P(X\geq 2)=1- P(X

And using the probability mass function we can find the individual probabilities:

P(X=0)=(8C0)(0.18)^0 (1-0.18)^{8-0}=0.2044

P(X=1)=(8C1)(0.18)^1 (1-0.18)^{0-1}=0.3590

And replacing we got:

P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366

Then the probability that at least 2 disapprove of daily pot smoking is 0.4366

Step-by-step explanation:

Let X the random variable of interest "number of seniors who disapprove of daily smoking ", on this case we now that:

X \sim Binom(n=8, p=0.18)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X\geq 2)=1- P(X

And using the probability mass function we can find the individual probabilities:

P(X=0)=(8C0)(0.18)^0 (1-0.18)^{8-0}=0.2044

P(X=1)=(8C1)(0.18)^1 (1-0.18)^{0-1}=0.3590

And replacing we got:

P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366

Then the probability that at least 2 disapprove of daily pot smoking is 0.4366

3 0
3 years ago
Help me please due in 40 minutes
levacccp [35]

Answer: x = -2

Step-by-step explanation:

5(3y -5) -4y = -14

15y - 25 - 4y = -14

11y - 25 = -14

11y = 11

y = 1

5x - 4(1) = -14

5x - 4 = -14

5x = -10

x = -2

4 0
3 years ago
Read 2 more answers
Can someone tell me if my answer for question two is wrong or not and why
joja [24]

Answer:

its correct

Step-by-step explanation:

4 0
3 years ago
Solve the system using elimination tech<br> 8x-2y=6<br> -8x+4y=12<br> x=<br> y=
natima [27]

The answer is 18 y to the  5th power.

Hope this helps :DD

5 0
3 years ago
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