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MAXImum [283]
3 years ago
8

Show all work to multiply (3+ Square root of -16)(6- square root of -64)

Mathematics
1 answer:
KIM [24]3 years ago
5 0

Answer:

1042-96i

Step-by-step explanation:

(3 + 16i)(6 - 64i)

6(3 + 16i)(3 - 32i)

(6) 9 - 96i + 48i +1024

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A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number
kari74 [83]

Answer:

0.4

Step-by-step explanation:

These are the relative frequencies of each face (data are missing in the text of the problem):

Number Showing  on Top Face   Frequency

1 0

2 3

3 3

4 6

5 3

6 5

The probability to obtain a certain number when throwing the dice is given by

p(x_i)=\frac{f_i}{\sum f}

where

f_i is the relative frequency of the number x_i to occur

\sum f is the sum of the relative frequencies

Here the sum of the frequencies is:

\sum f=0+3+3+6+3+5=20

For number 5 here, we have:

f_5 = 3 (from the table)

So the probability of getting a 5 is

p(5)=\frac{3}{20}

For number 6 here, we have

f_6=5

So the probability of getting a 6 is

p(6)=\frac{5}{20}

So the probability to obtain either a 5 or a 6 in the next rolling is:

p(5\cup 6)=p(5)+p(6)=\frac{3}{20}+\frac{5}{20}=\frac{8}{20}=0.4

6 0
3 years ago
The Venn diagram above represents the students who were sick one day in January at a Chicago high school. 80 students had only a
mrs_skeptik [129]

Answer:

370

Step-by-step explanation:

The venn diagram corresponds to students who were sick in January at a Chicago high school.

Students who had only fever= n(A) = 80

Students who had only headache= n(B) = 90

Students who had only cough  = n(C) =60

Students who had both cough and fever = n(AC) = 10

n(AB) = 40:n(BC) = 30  n(ABC) = 20

Hence total students = 800

no of students who were absent due to other reasons = 100

REmaining students = 700

Students who were sick = sum of all =330

So no of students who were at school = 700-330 = 370

5 0
3 years ago
How many centimeters does it grow Bamboo grows 91 centimeters per day. per hour? (GIVING BRAINLIEST)​
Bezzdna [24]

Answer:

3.79 centimetres

Step-by-step explanation:

1 day = 24 hours

91 ÷ 24 = 3.79 centimetres

6 0
3 years ago
Read 2 more answers
Translate the following written expression into an algebraic expression:
hammer [34]

Answer:

(y-5) ÷ 2

Step-by-step explanation:

8 0
3 years ago
Points A and B are on the different sides of a line 1, the distance between point A and the line lis 10 in, the distance between
givi [52]

Answer: Distance between O and the line 1 is 3 inches.

Explanation:

Since we have given that

Distance between point A and the line 1 = 10 inches

Distance between point B and the line 1 = 4 inches

Total length of segment AB is given by

10+4=14\ inches

Since O is midpoint of the line segment AB.

so, AO is given by

\frac{14}{2}=7\ in.

Now, Distance between O and the line 1 is given by

10-7=3\ in.

Hence, Distance between O and the line 1 is 3 inches.

7 0
3 years ago
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