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aleksklad [387]
3 years ago
15

Millie, Josh and Libby receive a bonus at work. They are paid in the ratio of 2 : 3 : 4.

Mathematics
1 answer:
nadezda [96]3 years ago
4 0
Based on the problem above, the given values are as follows:
2:3:4 = Ratio of Millie, Josh and Libby's bonus
£105=Josh's share of the bonus
?=total amount of the bonus they shared.
In order to get this, we need to solve for Millie's and Libby's bonuses. 
So to get Millie's share:
we do this.
2/3 : x/105. Cross multiply and divide and we get x=70. Therefore, Millie's share is  £70.
Next is Libby's:
3/4 : 105/y. Cross multiply and divide and we get y=140. Therefore, Libby's share is  £140.
Now, add up everything and we get  £315. So the total amount of the bonus before they shared it is  £315.
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If 15 actuators have failed today, what is the probability that a) at least 10 are repairable? b) from 3 to 8 are repairable? c)
Ann [662]

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

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at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

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These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

Learn more about PROBABILITIES here brainly.com/question/25870256

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2 years ago
The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equati
sergey [27]

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

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Group similar terms to obtain:

2x+x=-2+5

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Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

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