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3 years ago

If 9x²+Px+25 is a perfect square, then find the value of P

Mathematics

2 answers:

kvv77 [185]3 years ago

8 0

30 is the value of P
Steps:
A perfect square follows the pattern $a^2+2ab+b^2\\\boxed{a=3,b=5}\\\boxed{2ab=30}$

lorasvet [3.4K]3 years ago

6 0

Answer:

P = 30

Step-by-step explanation:

A perfect square of the form

(ax + b)² = a²x² + 2abx + b²

9x² = (3x)² ⇒ a = 3 and 25 = 5² ⇒ b = 5

2abx = 2 × 3 × 5x = 30x

9x² + 30x + 25 = (3x + 5)² ← a perfect square

P = 2ab = 30

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Answer:

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3 years ago

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scoundrel [369]

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4 0

3 years ago

Read 2 more answers

In a study of 799 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed. Use

Mademuasel [1]

Answer:

Claim is true that most medical malpractice lawsuits are dropped or dismissed.

Step-by-step explanation:

Given :In a study of 799 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed.

To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Solution:

n = 799

x = 499

We will use one sample proportion test

$\widehat{p}=\frac{x}{n}\\\widehat{p}=\frac{499 }{ 799}\\\widehat{p}=0.6245$

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.

Probability of dropped or dismissed is 1/2

$H_0:p=0.5\\H_a:p>0.5$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.6245-0.5}{\sqrt{\frac{0.5(1-0.5)}{799}}}$

= 7.038

p value (z>7.038) is 0

α =0.05

So, p value < α

So, we reject the null hypothesis

So,claim is true

Hence most medical malpractice lawsuits are dropped or dismissed.

6 0

3 years ago

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shepuryov [24]

Answer:

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4 0

2 years ago

3 exponet 8×4+9÷1×56+57

nika2105 [10]

You would use PEMDAS

But since any number divided by 1 is the number by which it is divided by then you can eliminate that. Now your problem looks like this:
8✖️4➕9✖️56➕57

Since there are no parentheses or exponents then you would multiply.
8✖️4= 32
32➕9✖️56➕57

Then multiply the other multiplication problem.
9✖️56= 504
32➕504➕57

Now you can add all of the numbers together
32➕504=536
536➕57=593

Your answer is 593

Hope this helps! :3

4 0

3 years ago

Read 2 more answers

If 9x²+Px+25 is a perfect square, then find the value of P​

If 9x²+Px+25 is a perfect square, then find the value of P