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3 years ago

P is an odd number. Explain why p^2 +1 is always even number

Mathematics

2 answers:

Stells [14]3 years ago

8 0

Answer:

every odd number that squares up and add 2 will give an even answer

madreJ [45]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Given that p is an odd number , then

p² is always an odd number

Adding 1 to an odd number gives an even number.

So p² + 1 is always even for p odd

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What is the smallest integer $n$ such that $5n + 3 > -10$?

Nataliya [291]

Answer:

-2

Step-by-step explanation:

5n+3= -10

5n = -13

n = -13/5

= -2.6

question is integer

so answer is -2

8 0

3 years ago

Let f(x) = x^2+1 and g(x)= 4x+7. Evaluate and simplify the following f(g(x))=

baherus [9]

Answer:

See in attachment and Mark as brainleist please.

3 0

3 years ago

at the bus station, buses depart at a rate of 3 every 10 minutes, at this rate, blank buses would depart in one hour.

Musya8 [376]

18 buses would depart in an hour.

Hope this helps :)

4 0

3 years ago

第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows

tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

$P(A/B)=\frac{P(A)*P(B/A)}{P(B)}$

let A be the event that the student knows the answer .

B be the event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

$P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}$

Probability that the answer is correct ,given that he knows the answer is

$P(E/A)=1$

Probability that the answer is correct ,given that he guesses it is

$P(E/B)=\frac{1}{3}$ [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability $P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}$

Substituting the values we get

$P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }$

$=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}$

Therefore , the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

#SPJ4

8 0

10 months ago

Find the value of x A. 5 square root 2/2 B 5 C 10 D 10 square root 2

grandymaker [24]

Answer:

The answer is C

Step-by-step explanation:

That side with the 5 is equal to 7.071067812.... (irrational number)

To get x you need to use the equation a^2 + b^2 = c^2

A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.

7.071037812.... ^2 is 50

Now your equation would be 50+50= c^2 (which is the same as x^2)

100= c^2 is simplified by finding the square root of 100.

Your answer is 10 for side X because the square root of 100 is 10.

This problem was solved using the Pythagorean Theorem.

6 0

2 years ago

Read 2 more answers