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steposvetlana [31]

2 years ago

7

Ava wants to practice ball for 2 1/2 hours each week on Monday she practices for one hour Tuesday 1/4 of an hour and Thursday 1/

2 hour how much longer must she practice to reach her goal

1 answer:

Bogdan [553]2 years ago

3 0

Answer: She would have to practice for 3/4 of an hour left to reach her goal

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an office space in new-york city measures 48 by 56. if it sells for 565 per square foot, what is the total cost of the office sp

inessss [21]

I added 48+56 and got 104

3 0

3 years ago

The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x

Fudgin [204]

9514 1404 393

Answer:

$98.15

Step-by-step explanation:

2005 is 15 years after 1990. Using the formula we find ...

c(15) = 63·1.03^15 ≈ 63·1.55797

c(15) ≈ 98.152

An ounce of the chemical costs about $98.15 in 2005.

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3 years ago

The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.

RSB [31]

Answer:

(2y−3)(y+1) hope this helps!

7 0

2 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

2 years ago

laura family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive o

I am Lyosha [343]

On average, they drive 2090 miles per week

4 0

3 years ago

Read 2 more answers