1) Uma pessoa saiu de casa indo as compras com R$240,00 na carteira, sendo que gastou no supermercado 2/3 deste valor, em seguida gastou 14 do que havia sobrado na farmácia. Em uma parada no açougue, deixou mais 72 do que lhe havia sobrado. Após estas despesas qual o valor que lhe havia sobrado. Após estas despesas qual o valor restante na carteira dessa pessoa? A)R$ 40,00 B)R$ 30,00 C)R$ 20,00 D)R$ 1000 E)R$ 5,00

Answers

Answer 1

Answer:

Answer:

The remaining amount in the person's wallet is $30.

Step-by-step explanation:

We are given that a person left the house to go shopping with $240.00 in his wallet, and he spent 2/3 of this amount in the supermarket, then spent 1/4 of what was left in the pharmacy. At a stop at the butcher shop, he left 1/2 than he had left.

And we have to find the remaining money in the wallet after making all these above expenses.

At the starting, the amount of money in the person's wallet = $240

Amount of money spent in the supermarket = $(2)/(3) \text{ of } \$240$

= $(2)/(3) * 240$

= $2 * 80$ = $160

So, now the amount of money left with him = $240 - $160

= $80

Amount of money spent in the pharmacy = $(1)/(4) \text{ of } \$80$

= $(1)/(4) * 80$ = $20

So, now the amount of money left with him = $80 - $20

= $60

Now, Amount of money spent at the butcher shop = $(1)/(2) \text{ of } \$60$

= $(1)/(2) * 60$ = $30

So, now the amount of money left with him = $60 - $30

= $30

Hence, the amount of money remaining in the person's wallet is $30.

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According to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered. (In contrast, only 2% of bikes stolen in New York City are recovered.) Find the probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered. Find the nearest answer.

Answers

Answer:

0.31104

Step-by-step explanation:

Given that according to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered.

If X represents the number of bicyles stolen in Sydney, X is binomial

because each cycle to be stolen is independent of the other.

Also there are two outcomes

n = 6, p = 0.40

Required probability = the probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered

==P(X=2)

= $6C2 (0.4)^2 (0.6)^4\n= 15(0.16)(0.6)^4\n=0.31104$

Answer:

Probability that exactly 2 out of 6 bikes are recovered is 0.31.

Step-by-step explanation:

We are given that according to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered.

Also, there is a sample of 6 randomly selected cases of bicycles stolen in Holland.

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 = 6 cases of bicycles

r = number of success = exactly 2

p = probability of success which in our question is % of bicycles

stolen in Holland that are being recovered, i.e; 40%

LET X = Number of bikes recovered

So, it means X ~ $Binom(n=6, p=0.40)$

Now, Probability that exactly 2 out of 6 bikes are recovered is given by = P(X = 2)

P(X = 2) = $\binom{6}{2}0.40^(2) (1-0.40)^(6-2)$

= $15 * 0.40^(2) * 0.60^(4)$

= 0.31

Therefore, Probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered is 0.31.

Hey can anyone help with this question please and thank you

Answers

Hope this can help you

69/8 as a mixed number

Answers

Answer:

Hey!

69/8 as a mixed number is...

8 5/8!

To get this answer, simply divide 69 by 8, then subtract the WHOLE NUMBER from 69 and then the left over number is the numerator over 8

Hope this helps!

Answer:

8 5/8

Step-by-step explanation:

2(x – 9) = 10x + 11
Help

Answers

Answer:

exact form: -28/8

decimal form: -3.625

mixed number form: -3 5/8

Answer:

x = -3.625

Step-by-step explanation:

In the problem 14 = 2 = 7, which number is the divisor?

Answers

Answer:

14 and 7 or 14 and 2

Step-by-step explanation:

fjdkdbejebejene

Answer:

2, assuming you meant 14÷2=7

Step-by-step explanation:

Find the next three terms in the geometric sequence. 2,-16,128,-1024,...

Answers

Answer:8192,-65536,524288

Step-by-step explanation:

2,-16,128,-1024,....

First term=a=2

Common ratio=r=-16/2=-8

Using the formula

Tn=a x r^(n-1)

T5=2 x (-8)^(5-1)

T5=2x (-8)^4

T5=2x4096

T5=8192

T6=2x(-8)^(6-1)

T6=2x(-8)^5

T6=2x-32768

T6=-65536

T7=2x(-8)^(7-1)

T7=2x(-8)^6

T7=2x262144

T7=524288

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