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nikitadnepr [17]
3 years ago
12

Jessica is a custodian at Oracle Arena. She waxes 20 m2 of the floor in 3/5 of an hour. Jessica waxes the floor at a constant ra

te. At this rate, how many square meters can she wax per hour?
Mathematics
1 answer:
Ghella [55]3 years ago
6 0

to solve this, you need to set up an equation to solve for <em>x, </em>the number of square meters waxed in an hour:

\frac{20}{3/5}  = \frac{x }{1 }

you can use cross multiplication to solve for x:

\frac{3}{5} x = 20

3x = 100\\x = 100/3

so jessica can wax 100/3 square meters per hour. you can convert this to decimal form (which would be 33.3 repeating) or you can leave it in fraction form.

You might be interested in
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. 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.

0.95 probaiblity of hitting a target

This means that p = 0.95

10 targets

This means that n = 10

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

P(X = 10) + P(X < 10) = 1

We want P(X < 10). So

P(X < 10) = 1 - P(X = 10)

In which

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

P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987

P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401

40.1% probability that he will miss at least one of them

7 0
3 years ago
What is the sum of the hundreds in this equation? 357 + 421
xenn [34]

357+421 = 778

Hope this helps :)

4 0
3 years ago
Which is bigger, 4/3 or 4/4
velikii [3]

Answer:

4/3

Step-by-step explanation:

This is just one of the ways you can do it

find the decimal or divide each fraction

so for the first one 4/3

4 divide by 3 is 1.33333

while 4 divide by 4 is 1

Compare

1.333333 and 1

Of course, 1.33333 is bigger than 1

so 4/3 is the correct answer

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Help which one is the answer ??
Lelechka [254]
The answer is A.) A smaller percentage of second-lunch students (18%) eat outside.

hope this helps !
8 0
4 years ago
Simple interest ending balance $41,900 at 4% for 2 years?
VARVARA [1.3K]
<h3><u>Answer:</u></h3>

The simple interest is $3352.

<h3><u>Step-by-step explanation:</u></h3>

Using PRT/100, we can find the interest.

  • => 41,900 x 4 x 2/100
  • => 419 x 4 x 2
  • => $3352
<h3><u>Conclusion:</u></h3>

Therefore, the simple interest is $3352.

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
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