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Butoxors [25]
3 years ago
13

Plz help! solve for p

Mathematics
2 answers:
Alex3 years ago
5 0

Because p squared is equal to -25, the square root of -25 is equal to p.

Because of this, finding the square root of -25 will give us our answer.

\sqrt{-25} = 5i

Therefore, p = 5i or p = \sqrt{-25}.

<em>Hope this helped! :)</em>

Ganezh [65]3 years ago
4 0

Answer:

p = - 5i or p = 5i

Step-by-step explanation:

Noting \sqrt{-1} = i

Given

p² = - 25 ( take the square root of both sides )

p = ± \sqrt{-25} = ± \sqrt{25(-1)} = ± 5i

Thus

p = - 5i or p = 5i

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I am a solid figure with two congruent polygons that are bases connected with lateral faces that are rectangles
Andrews [41]
<span>We have lateral faces that are rectangles and 2 congruent polygons that are bases. This must be 3-dimensional solid figure - quadrilateral prism. If those 2 bases are squares then it is a rectangular prism, but the bases also can be 2 rhombuses. Answer: Quadrilateral prism.</span><span />
5 0
3 years ago
A bicycle store costs ​$3500 per month to operate. The store pays an average of ​$75 per bike. The average selling price of each
vfiekz [6]

Answer: the store needs to sell 50 bicycles each month to break even

Step-by-step explanation:

The average selling price of each bicycle is ​$145.

When we talk of break even, we are referring to the point at which the income being accrued from a business is equal to the total cost of running the business. At this point, their is no profit and there is no loss.

From the example information given,

Total cost of running the business will be

cost of operating the bicycle store + the total amount the store pays per bike.

cost of operating the bicycle store

= ​$3500 per month

The store pays an average of ​$75 per bicycle. If the store buys x bicycles per month, then,

Total the total amount the store pays per bike = 75 × x = 75x

Total cost of running the business per month

= 3500 + 75x - - - - - - -1

The average selling price of each bicycle is ​$145. This means that the selling price for x bicycles will be

145 × x = 145x

Therefore , total income is $145x

To break even,

145x = 3500 + 75x

145x - 75x = 3500

70x = 3500

x = 3500 / 70 = 50

8 0
3 years ago
A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
USLUIT il<br> Find x.<br> 45°<br> 30°
IceJOKER [234]

Answer:

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Step-by-step explanation:

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  • Ignore the line cutting between 45° and the 30° and consider it as one triangle
  • Add them to get 75°
  • Now you have two known angles 75° and 36°
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7 0
3 years ago
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Verdich [7]

Answer:The answer is Equal.

Step-by-step explanation:First you need to add A and 2A together. that equals 3a. Since 3 is left , it could be -1 and 4 because it would equal the same thing hope this helped :)

8 0
3 years ago
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