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3 years ago

What is the positive solution of -12x = 8x^2 - 13.5?

Mathematics

1 answer:

jekas [21]3 years ago

6 0

I hope this helps you

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Postulates can be used to prove theorems. True False

nikitadnepr [17]

No, because postulates are assumptions. Some true, some not. So it can't be used to prove it

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3 years ago

For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f

pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

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

nCx is calculated as:

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

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

$P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}$

P(4)=0.2592

And P(5) is:

$P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}$

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

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3 years ago

The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x.

dimulka [17.4K]

We have to find the value of x if the measures of the angles of a triangle are: 2 x, 3 x and 4 x. We know that the sum of the measures of the angles of a triangle is 180 degrees. A + B + C = 180. Here we have: A = 2 x, B = 3 x and C = 4 x; 2 x + 3 x + 4 x = 180; 9 x = 180; x = 180 : 9. Answer: x = 20 degrees.

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3 years ago

A taxicab starts at (1, -2) on the grid. It goes 3 blocks east and 1 block south to pick up a passenger. Then it goes 6 blocks w

elena-14-01-66 [18.8K]

(x,y)
east is an increase in x
west is a decrease in x
north is an increase in y
south is a decrease in y

so
3 east (x+3)
1 block south (y-1)
6 blocks west (x-6)
5 blocks north (y+5)

so in total, x+3-6 and y-1+5
basically x-3 and y+4
minus 3 from and add 4 to y
(1,-2)
(1-3,-2+4)
(-2,2) is the dropoff point

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3 years ago

there are 318 fictiom books in the class library. the number of nonfiction booka os 47 less than the number of fiction books. ab

Mama L [17]

318-47= 271 There are 271 non-fiction books in the library. just subtract 47 from 318 to get the answer.

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3 years ago

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