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3 years ago

Explain how place value could be used to find the difference of 4.23 and 2.75

1 answer:

3 0

Place value can be used to subtract 4.23 and 2.75 because, in order to subtract, you must line up the whole numbers together, the tenths place together, and the hundredths place together.

Lining them up: Whole= W Tenths place= T Hundredths place= H

W T   H

4 . 2   3
- 2 . 7   5
-------------------
   1 . 4 8

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An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.

densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. 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.

10 locations

This means that $n = 10$

Suppose the probability of a success at any specific location is 0.25.

This means that $p = 0.25$

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

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

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440$

$P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756$

75.60% probability that the driller drills at 10 locations and has at least 2 success

8 0

3 years ago

The Band Booster club sells beverages for $1.26 and candy for $1.09 at home games. Their goal is to have total sales of $181.59

natima [27]

Amount times cost=profit

profit beverages=x times 1.26 or 1.26x
profit candy=y times 1.09 or 1.09y

the total profit is profit beverage plus profit candy or 1.26x+1.09y
they want total profit of 181.59

so
181.59=1.26x+1.09y is the answer in standard form
usually, we want whole numbers, but that's fine

4 0

4 years ago

Round of 389,422 in 1,000

Katen [24]

So,

To round the nearest thousand, look at the number in the hundredths place.
If n ≥ 5, round up
If n < 5, round down

4 < 5, therefore round down.

389,422 --> 389,000

4 0

3 years ago

What is 3 less than -2

Anastasy [175]

-2 - 3 = -5
The answer is negative 5.

4 0

3 years ago

(19 – 6) x [ 19 + { 15 + 8 – 3 } ]

Marianna [84]

Answer:

117

Step-by-step explanation:

=(3)×[19+{15+8-3}]

=3×[19+{23-3}]

=3×[19+20]

=3×39

=117

4 0

3 years ago