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2 years ago

zoe and Hannah share tips in the ratio 3:7 last week zoe recived £24 how much did hannah recieve last week

Mathematics

2 answers:

Reil [10]2 years ago

7 0

Answer:

Step-by-step explanation:

The ratio is 3:7, so to get Hannah's amount you need to double what Zoe got (3 doubled is 6) then add 1 third of her original amount (1 third of 3 is 1, 3x2+1=7). 1 third of 24 is 8, so the answer is 24x2+8 which is 56. Sorry if the explanation isn't great, I'm not the best at explaining.

VladimirAG [237]2 years ago

3 0

Answer:

Step-by-step explanation:

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A sales completion team, aiming to reduce the shipment time of urgent orders, studies the current process and finds that the cur

4vir4ik [10]

Answer:

$P(1$

And we can find this probability with thi difference:

$P(-2$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-2$

So then we expect about 72.5% of the current shipment times between 1 and 5 days

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the current shipment time of a population, and for this case we know the distribution for X is given by:

$X \sim N(4,1.5)$

Where $\mu=4$ and $\sigma=1.5$

We are interested on this probability

$P(1$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(1$

And we can find this probability with thi difference:

$P(-2$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-2$

So then we expect about 72.5% of the current shipment times between 1 and 5 days

8 0

2 years ago

I was told that if I had perfect attendance, I would get an extra 4% in my check as a bonus. Therefore, if I earned $960.00 befo

MakcuM [25]

Answer:

Your total income with perfect attendance would be $998.40

Step-by-step explanation:

First you need to figure out how much the 4% bonus is by multiplying 4% by $960.

But first you need to convert 4% to a decimal so it becomes 0.04

Then multiply it by $960 which would get you $38.40

So the 4% bonus is $38.40 but you need to know how much your total income is with the bonus.

So you need to add $38.40 and $960 which will get you $998.40

The total income with perfect attendance would be $998.40

3 0

2 years ago

What is 4.66666666667 as a fraction

ss7ja [257]

Step-by-step explanation:

466666666667/100000000000

7 0

2 years ago

In the figure, CD = EF and AB = CE. Complete the statements to prove that AB = DF.

viva [34]

Answer:

1. Addition Property of Equality

2. Segment addition

3. Substitution Property of Equality.

4. Transitive Property of Equality.

Step-by-step explanation:

Here, given : CD = EF and AB = CE

To Show: AB = DF

Now, as given in the steps:

1. CD + DE = EF + DE by the (addition) Property of Equality.

As we have added the EQUAL QUANTITY on both sides of the equality.

2.CE = CD + DE and DF = EF + DE by (segment addition).

As here CE and DF are line segments. And the length of a

Line Segment = Sum of all its parts in which it is divided.

3.CE = DF by the (Addition, subtraction, substitution, transitive)Property of Equality.

Here, as we know CE = CD + DE

but CD = EF , so SUBSTITUTE EF in place of CD

⇒ CE = EF + ED = FD (by substitution) Property of Equality.

4.Given, AB = CE and CE = DF implies AB = DF by the (transitive)Property of Equality.

As, x = y , y = z ⇒ x = z is the TRANSITIVE PROPERTY

3 0

2 years ago

Read 2 more answers

The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs negative 8,15 and 6, negative 12. Line Q is

andreyandreev [35.5K]

Solution:

Keep in mind ,

Equation of line joining two points (a,b) and (p,q) is given by :

$\frac{q-b}{p-a}=\frac{y-b}{x-a}$

Equation of line P which is obtained by joining (- 8,15) and (6, - 12) is given by:

$\frac{y-15}{x+8}=\frac{-12-15}{6+8}\\\\ 14(y-15)=-27(x+8)\\\\ 14 y -210= -27 x - 216\\\\ 27 x+14 y+6=0$

Equation of line Q which is obtained by joining (4,16) and (-9, 10) is given by:

$\frac{y-16}{x-4}=\frac{16-10}{4+9}\\\\ 13(y-16)=6(x-4)\\\\ 13 y -208= 6 x - 24\\\\ 6 x-13 y+184=0$

Equation of line P and Q are

27 x+14 y+6=0-------(1)× 2

6 x-13 y+184=0-------(2)× 9

54 x + 2 8 y+12=0---(1)

54 x -117 y +1656=0----(2)

(1) - (2)

145 y= 1644

y=11.33,

27 x+14 y+6=0-------(1)×13

6 x-13 y+184=0-------(1)×14

351 x + 182 y + 78=0-----(1)

84 x - 182 y +2576=0----(2)

(1) + (2)

435 x + 2654=0

x = - 6.11

So, solution set is (-6.11, 11.33)

Option (C) is true. (−2, 4), because this point makes both the equations incorrect.

8 0

2 years ago