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2 years ago

Simple 9th grade math

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

5 0

Answer:

-1078

Step-by-step explanation:

To find the nth term in an arithmetic sequence we use the following formula

aₙ=a₁+(n-1)*d

Where a₁ is the first time, and d is the common difference (in this case -20)

So we have

2+(55-1)*-20

2+(54)*-20

2-1080

-1078

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Which of the following is equivalent to –2i(6 – 7i)? (0 – 2i)(6 – 7i) (0 + 2i)(6 – 7i) (–2 + i)(6 – 7i) (6 – 2i) – (7i – 2i)

Mariulka [41]

Answer:

The expression which is equivalent to –2i(6 – 7i) is; (0 – 2i)(6 – 7i)

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2 years ago

At his favorite restaurant, Dylan orders a soda with his dinner. The ice in his drink has a mass of 6 g and a volume of 20 cm3.

frez [133]

Answer:

0.3

Step-by-step explanation

The formula to find density is m/v=p

m=mass

v=volume

p=density

All we have to do is plug in 6g and 20cm^3

This will give us 6/20 which simplifies to 3/10

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So the density of the ice is <u>0.3</u>

<u>Hope this helped!</u>

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2 years ago

150 is 96% of what number?<br> SHOW WORK:

goblinko [34]

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3 years ago

Read 2 more answers

How do you write 76% as a fraction

padilas [110]

Answer:

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3 years ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no 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.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

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

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

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2 years ago