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zhannawk [14.2K]

3 years ago

13

Lucky Joe won $32,000,000 in a lottery. Every year for 10 years he spent 50% of what was left. How much did Lucky Joe have after

10 years?

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

160,000,000

Step-by-step explanation:

(32000000)50/100(10)

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0

3 years ago

Destiny works on commission as an office supply saleswoman. She sold a computer that cost $700 and received a $126 commission. W

Lisa [10]

To figure out the answer to this problem, you must first ask yourself this:
<span>
</span><span>How much is 126 of 700
</span> or
<span>What is 126 divded by 700
</span>
The answer is 0.18.

So, that means that 0.18 or 18 percent might be your answer.

Now, lets try 18 percent of 700, to see if we get 126.

<span>18% times 700
</span>
The anwer is 126.

SO:

$126 is 18 percent of 700.

18 percent of her sale is Destiny's commission.

7 0

3 years ago

A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 3π2 radians? Use 3.14 for pi.

Vikki [24]

Answer:

The answer is 37.68 I just took the test.

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3 years ago

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If f(x) = x^4-x^3+x^2 and g(x)= -x^2, where x does not = 0, what is (f/g)(x)?

Korvikt [17]

For this case we have the following functions:

$f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2$

By definition of composition of functions we have to: $(f \ g) (x) = \frac {f (x)} {g (x)}$

So:

$\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =$

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

$\frac {f (x)} {g (x)} = - x ^ 2+x-1$

ANswer:

$(\frac {f} {g}) (x) = - x ^ 2 +x-1$

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3 years ago

I’m need help with the question in general.

navik [9.2K]

Answer:

I Cant See

Step-by-step explanation:

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3 years ago

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