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Aleonysh [2.5K]
3 years ago
13

The student council is raising money by selling

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
The student council is raising money by selling what?
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Find the missing value when given the modulus.
kolbaska11 [484]

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We  have been given the expression as

          |a – i| = √37          (1)

Which is an expression of complex number. The general expression of complex number is given as

    z = x + iy

 where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

  |z| = |x + iy|

   |z| = √[(real part)2 + (imaginary part)2]

 |z| = √(x2 + y2)

According to the question, |z| = √37         (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

#SPJ9

3 0
2 years ago
Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies cho
Sophie [7]

Answer: 0.894

Step-by-step explanation:

5 0
3 years ago
Solve for x please help!!!
Harlamova29_29 [7]
X=13 i believe!! hope it helps <3
8 0
3 years ago
Read 2 more answers
I need help with this one!
kicyunya [14]
The answer is B! Your welcome if you need anymore help message me for more questions!
7 0
3 years ago
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his custome
Rainbow [258]

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

10% of his customers buy a magazine

This means that P = 0.1

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

3 0
3 years ago
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