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Elenna [48]
3 years ago
10

Simplify the expression to a + bi form: (-6 - 9i)(-11 + 7i)

Mathematics
2 answers:
jek_recluse [69]3 years ago
4 0

Answer:

129+57i

Step-by-step explanation:

kumpel [21]3 years ago
3 0

( - 6 - 9i)( - 11 + 7i) \\  = 66 - 42i + 99i - 63 {i}^{2}  \\  = 66 + 57i + 63 \\  = 129 + 57i

I hope I helped you^_^

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One bottle of ongo pain medicine contains 60 tablets. How many tablets are contained in 3 3/4 bottle
Snowcat [4.5K]

answer:

600 tablets in 33/4

Step-by-step explanation:

60 =1bottle

33/4 =8.25 =8 bottles and1/4

60*8=480

480/4=120

120+480=600

5 0
4 years ago
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 6

            r = number of success = less than 3

           p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ Binom(n=6, p=0.3)

Now, Probability that X is less than 3 = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

             = \binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}

             = 1 \times 1 \times 0.7^{6}  +6 \times 0.3^{1}  \times 0.7^{5}  +15 \times 0.3^{2}  \times 0.7^{4}

             = 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

5 0
3 years ago
Determine the domain of the graph
ss7ja [257]

Answer:

The answer is B

Step-by-step explanation:

Graph goes positive infinitily,

but is inclusive of -4 and up.

7 0
3 years ago
If​ ​3(x​ ​–​ ​2)​ ​=​ ​2x​ ​+​ ​6,​ ​the​ ​value​ ​of​ ​x​ ​is<br> i will give you 35 points
Kryger [21]
3x - 6 = 2x + 6
3x = 2x + 6 + 6
3x = 2x + 12
3x - 2x = 12
x = 12
4 0
3 years ago
The area if a rectangle is 48 square centimeters. The lenght of the rectangle is 8 centimitwrs longer than the witch. Which equa
Pie

So, The length is 8 cm longer than the width.


Area of a rectangle = l *w

48 cm^2 = l *w


l = w+8

48 cm^2 = w * w+8


48 = w^2 +8w

^ that's the equation that models it.  Or any other one listed

4 0
3 years ago
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