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2 years ago

Solve for x for #5 and 6

Mathematics

1 answer:

Alex777 [14]2 years ago

7 0

Answer:

In 5:

UM and MS are equal since the diagonals US and VT have perpendicularly bisected each other.

So,15=6x-3

15+3=6x

18=6x

3=x

In 6:

ET=TC

8=x-4

8+4=x

12=x

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maks197457 [2]

Answer:

B) 7x - 3 = 4

Step-by-step explanation:

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A) NOPE

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7 0

2 years ago

A coin is tossed 8 times. What is the probability of getting all heads? Express your answer as a simplified fraction or a decima

kumpel [21]

Answer:

The probability of getting all heads is $\frac{1}{256}$ .

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem, we have that:

A coin is tossed 8 times. This means that $n = 8$

In each coin toss, heads or tails are equally as likely. So $p = \frac{1}{2}$

What is the probability of getting all heads?

This is $P(X = 8)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$[tex]P(X = 8) = C_{8,8}*(\frac{1}{2})^{8}*(1 - \frac{1}{2})^{0}$ = $\frac{1}{256}$

The probability of getting all heads is $\frac{1}{256}$ .

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3 years ago

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to

Alenkasestr [34]

So we need to find the lenght of side a of a right triangle if we know b=13 and c=21 and c is the hypotenuse and we need to round the number to the nearest hundreth. So we can do that with Pythagorean theorem which states that: a^2 + b^2 = c^2. Now we simply put b^2 to the right side and find a^2 as: a^2=c^2 - b^2. Lets plug in the numbers and we will get a= sqrt (21^2 - 12^2)=16.492422. When we round it to the nearest hundreth a= 16.49.

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