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ladessa [460]
2 years ago
15

Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. Wha

t fraction of the £540 did Theo receive.
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
8 0

Answer:

\frac{5}{18}

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

\frac{1}{2} × £240 = £120

\frac{1}{10} × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

\frac{150}{540} ( divide numerator/ denominator by 30 )

= \frac{5}{18} ← in simplest form

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P-value test and Ctitical Value test are identical. P-value and Critical value are two different names for the same steps. They
creativ13 [48]

Answer:

Option B - False

Step-by-step explanation:

Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.

Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

Thus, it's clear critical values are different from P-values and they can't be used interchangeably.

8 0
2 years ago
This is the last time its happened twice please i need the answer
slamgirl [31]

Answer:

I think the answer is F hope its right fingers crossed!

Step-by-step explanation:

3 0
2 years ago
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Ever
Svetach [21]

Answer:

19/72

Step-by-step explanation:

To calculate the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?

We already know the number that liked chess only which is 10, we have to solve for those that liked swimming only which is

8+7+16+x = 40

x which represent swimming only is

40-31 = 9

Thus probability = 10/72 + 9/72 = 19/72

3 0
2 years ago
7400 dollars is placed in an account with an annual interest
Anastasy [175]

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

x^y=z\\log_xz=y

which means that

log_{1.06}2.594=n

Solve and get

16.362

which rounds to 17

6 0
3 years ago
May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.
Slav-nsk [51]

9514 1404 393

Answer:

  • x = 17
  • y = 26

Step-by-step explanation:

In the left problem, you use the fact that <em>the sum of the segment lengths is equal to the overall length</em>.

  AC +CB = AB

  (3x -4) +(x -2) = 62

  4x -6 = 62 . . . . . collect terms

  4x = 68 . . . . . . . add 6

  x = 17 . . . . . . . . . . divide by 4

__

In the right problem, you use the fact that <em>the sum of the angles is equal to the overall angle</em>. Here, that overall angle is a linear angle, so measures 180°.

  ∠DFG +∠GFE = ∠DFE

  (5y +3) +(2y -5) = 180

  7y = 182 . . . . . . . . . . . . . . collect terms, add 2

  y = 26 . . . . . . . . . . . . . . . .divide by 7

4 0
3 years ago
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