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3 years ago

Find the value of x. please explain how you got it :)

Mathematics

1 answer:

sertanlavr [38]3 years ago

4 0

Answer:

x=65°

Step-by-step explanation:

Next to x would be 70. (180-110=70).

Since this is an equilateral triangle, the other angle is also 70.

180-70-70=40, so the third angle is 40.

Since this is a right angle, the other angle is 50 (90-40=50).

Since that is 50, and this is an equilateral triangle, the other two angles have to be the same.

180-50=130

130÷2=65

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Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

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

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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5 0

2 years ago

1. Which point is located at (-2,-6)

andriy [413]

1 k
2 n j f
3 (-3,1)
that what i think they are

7 0

3 years ago

Read 2 more answers

If sin x = 3/5, calculate tan x

ZanzabumX [31]

Answer:

tan ( x ) = ± 3 /4

Step-by-step explanation:

4 0

4 years ago

Explain how you could use the distribute property and mental math to find 5 times 198

Sladkaya [172]

Multiply 100 times 5 in your head to get 500,

100 * 5 = 500
90 * 5 = 450
8 * 5 = 40
Put those 3 together into one equation, \/
(100 * 5) + (90 * 5) + (8 * 5) = 990 OR (100 * 5) + (98 * 5) = 990
depends on how distributed the teacher wants it to be.

5 0

4 years ago

URGENT will give brainliest!!! Element X decays radioactively with a half life of 5 minutes. If there are 540 grams of Element X

yKpoI14uk [10]

Answer:

7.2 minutes

Step-by-step explanation:

The formula to find the time using the radioactive decay rate formula is given as:

t = t½ × In(Nt/No)/-In2

Where

t½ = half life = 6 minutes

No = Initial Amount = 260 grams

Nt = Amount after decay

= 113 grams

Hence:

t = 6 × In(113/260)/-In2

t = 7.2131331036796 minutes

Approximately = 7.2 minutes

7 0

2 years ago