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2 years ago

Dan earns £9.30 per hour. How much will he earn for 9 hours work?

Mathematics

1 answer:

Dimas [21]2 years ago

6 0

Answer: £83.70

Step-by-step explanation:

We can set up a ratio.

Let x be the amount he earns for 9 hours of work.

$\frac{9.30 pounds}{1 hour} = \frac{x pounds}{9 hours}$

We can cross multiply:

x = 9*9.3

x = £83.70

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What is the solution to the system of equations?

alukav5142 [94]

Answer:

(x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

(3x +y) -(2x +y) = (3) -(7)

x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

2(-4) +y = 7

y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

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3 years ago

A milligram is what fraction of a kilogram

pishuonlain [190]

The answer is 1/1000000

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3 years ago

Based on the 2009 season, the Texas Rangers have a winning percentage of .533. Use the binomial model to find the probability th

Naddik [55]

Answer:

0.128

Step-by-step explanation:

We know the probability for any event X is given by,

$P(X=x)=\binom{n}{x}\times p^{n-x}\times q^{x}$ ,

where p is the probability of success and q is the probability of failure.

Here, we are given that p = 0.533.

Since, we have that q = 1 - p

i.e. q = 1 - 0.533

i.e. q = 0.467

It is required to find the probability of 4 wins in the next 5 games i.e. P(X=4) when n = 5.

Substituting the values in the above formula, we get,

$P(X=4)=\binom{5}{4}\times 0.533^{5-4}\times 0.467^{4}$

i.e. $P(X=4)=5 \times 0.533 \times 0.048$

i.e. i.e. $P(X=4)=0.128$

Hence, the probability of 4 wins in the next 5 games is 0.128.

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3 years ago

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What Number Is 10,000 Less Than 337,676

stepladder [879]

Look at the ten thousands place in 337,676. It is 3. Take one away from it to get the answer. It is 327,676.

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3 years ago

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Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour.

emmasim [6.3K]

Answer:

The distance between Albany and Buffalo along the I90 is 288.8 mi.

The speed of Fabio is 62 mph.

After 1.5 hours, he is 221 miles from Albany.

Things we can calculate here:

Using the relation:

Distance = time*speed.

We can calculate the number of miles that he moved in that 1.5 hours.

D = 62mph*1.5h = 93mi.

If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.

His initial position was:

221 - 93 = 128 miles away from Albany.

Now we also can calculate the time left to arrive at Buffalo.

We know that the distance between Albany and Buffalo is 288.8 mi

And he is 221 mi away from Albany.

Then the distance left to Buffalo is:

288.8mi - 221mi = 67.8mi

And the time left will be:

Distance/speed = time

67.8mi/62mph = 1.1 hours.

He needs to drive for another 1.1 hours to get to Buffalo.

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2 years ago