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KengaRu [80]
4 years ago
13

The US cencus bureau claimed that the US population increased by 27.3 million people from 2000 to 2010, which is a 9.7% increase

. According to these figures What was the population in the years 2000 and 2010 rounded to the nearest million?
Mathematics
1 answer:
Kamila [148]4 years ago
4 0
9.7% represents an increase of 27.3 Mil,

The 100% represents 27.3/9.7% =27.3/0.097= 281.44 Mil (Year 200

Year 2101 = 281.44 + 27.3 = 308.74 Mil
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Travka [436]

Answer:

Simplify (0%)

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O A. 6

O B.

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Step-by-step explanation:

4 0
2 years ago
Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1
Rudik [331]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = N_T

N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are ({}^{10}C_1).

For each card we can draw from any of the 4 sets. It can be described mathematically as: ({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]

Therefore, the total outcomes for drawing straight are:

N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240

Thus, the probability of getting a straight hand is:

P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039

6 0
3 years ago
Leonard spent 1 fourth of his money on a sandwich. He spent 2 times as much on a gift for his brother as on some comic books. He
natima [27]

Answer:

1/8

Step-by-step explanation:

Leonard spent 1 fourth of his money on a sandwich.

Fraction of money spent on sandwich = 1/4

He spent 2 times as much on a gift for his brother as on some comic books.

= 1/4 × 2

= 2/8

Hence, Fraction of money spent on Comic books = 2/8

He had 3 over 8 of his money left.

Let us represent his total money has: 1

The fraction of his money that he spent on the comic books is calculated as:

= 1 -( 1/4 + 2/8+ 3/8)

Lowest Common Denominator = 8

= 1 - (2 +2 + 3/8)

= 1- 7/8

= 1/8

Therefore, the fraction of his money that he spent on the comic books is 1/8

4 0
3 years ago
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Sati [7]
What do you need help with?
5 0
3 years ago
The wages
mihalych1998 [28]

Answer:

£ 144

Step-by-step explanation:

the formula would be :

w = n * r

finding the wages for 20 hours at a rate of 7.20 hours can be solved like this:

w = n *r

w = 7.20 * 20

<u>w =£ 144</u>

<u />

8 0
3 years ago
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