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sergejj [24]
3 years ago
12

Check each true statement about the number 7-√3i

Mathematics
2 answers:
Lana71 [14]3 years ago
6 0
What statement and what did it say?!
forsale [732]3 years ago
5 0

A. 7 is the real part of the number.

B. √3 is the imaginary part of the number.

D. This number is the sum of a real number and an imaginary number.

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A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
katrin [286]
<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

P(X=x)=^nC_xp^x(1-p)^{n-x} , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : \mu=np= (2500)(0.03)=75

The expected value = 75

Standard deviation :  \sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53

The standard deviation = 8.53

6 0
3 years ago
if emma spent $14.00 on jewerly and recieved $6.00 in change how much money did she spent . what equation could be used to find
rjkz [21]
14.00-6.00=8.00 if the cashier gave her 6.00 then she spent at least 8.00
7 0
3 years ago
Find the Total surface area
Veseljchak [2.6K]

Answer:

You may not recognize this...but the base forms a "Pythagorean"  right triangle  with legs  of  6 and 8  cm

The area of a right triangle is  (1/2)  ( product of leg lengths)

So...the area of the base   = (1/2) (6 * 8 ) = (1/2) 48  = 24 cm^2

And the volume of the prism is just the   base area  x  height =   24  x  7  =   192 cm^2

Step-by-step explanation:

7 0
3 years ago
Tony bought x cans of tennis balls for $3 each. He bought the same number of water bottles for $5. He also
NeX [460]
What are you asking exactly?
7 0
2 years ago
Let f(x)=2x^2-2x+7 and g(x) =x^2 +9x-6. Find f(x)-g(x)
Helga [31]

Step-by-step explanation:

hi im not really sure if this is right

5 0
3 years ago
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