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2 years ago

Find the length of missing side in the triangle, give answer 1 decimal place giving brainliest

Mathematics

1 answer:

luda_lava [24]2 years ago

8 0

<h2>♪Answer : </h2>

z² = 6.4² - 3.2²
z² = 40.96 - 10.24
z² = 30.72
z = √30.72
z ≈ 5.5✅

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In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that A

gulaghasi [49]

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

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.

60% of the people have been vaccinated.

This means that $p = 0.6$

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

$P(X \geq 1)$ when $n = 4$ .

We have that

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744$

0.9744 probability that AT LEAST ONE of them has been vaccinated

5 0

3 years ago

If I roll two six-sides dice, what is the probability that the sum of the numbers that show up on the dice is 3 or less?

liq [111]

Answer:

1/12

Step-by-step explanation:

first we have to find all the possibilities of getting a sum of 3 or less: 1+1 or 1+2 and we count the second combination 2 times because the numbers can be on either of the dices so we have a total of 3 possibilities. all the possible pairimg of dice are 6*6=36 because each dice has 6 sides and we can get either of them. so the probability would be the chance of getting a sum of 3 or less divided by all the diff combination which equals 3/36 or 1/12 which is roughly around 8.3%

4 0

3 years ago

Which number line shows the solution to the inequality?<br> y-2 <-5

spin [16.1K]

I think it would be A.

4 0

3 years ago

Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form. Factor out the leading coefficient. y

Nataly [62]

ANSWER

$y=8(x^2+4x+4)+17-32$

EXPLANATION

We were given $y=8x^2+32x+17$ .

To convert to vertex form, We factor out the leading coefficient which is 8.

$y=8(x^2+4x)+17$

Next, we form a perfect square by adding and subtracting $8(2)^2$ to get;

$y=8(x^2+4x)+8(4)+17-8(4)$

We factor and combine the first two terms with a common factor of 8 to get,

$y=8(x^2+4x+4)+17-8(4)^2$

This simplifies to

$y=8(x^2+4x+4)+17-32$

7 0

4 years ago

Read 2 more answers

There are 229 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 49 fans?

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

you divide the number of fans(229) by the number of people the buses can hold(49)

229÷49= ~4.6

because theres a decimal, you would have to add on a extra bus. so the answer would be 5

4 0

3 years ago