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AnnyKZ [126]
3 years ago
11

Factorise the following: (4x−15)2−(x+12)2

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0

Answer:

2x+9

Step-by-step explanation:

(4x-15)-(2x-24)

4x - 2x - 15 - -24

4x - 2x - 15 + 24

2x - 15 + 24

2x + 9

2x+9

GarryVolchara [31]3 years ago
8 0
There is the answer

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Each pitcher will get 4 lemonade

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If Louis is sharing 24 lemonade among 6 pitchers each

Then each will get 24/6

= 4 lemonade

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If ABCDE is translated 2 units to the right and 4 units up, what will happen to
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C. It will move but won't change shape or size

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six times a number is greater than 20 more than that number.what are the possible values of that number?
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All the values greater than the number 4 are possibles values for this number:

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3 0
3 years ago
I add 7 to a certain number. I double the result. My final answer is 34. What was my number?​
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From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
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<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

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A similar problem is given at brainly.com/question/16807970

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3 years ago
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