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Dmitrij [34]
3 years ago
10

Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i

Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer:

blank space=\frac{31}{2}+\frac{13i}{2}

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A bag contains 14 green, 12 orange and 19 purple tennis balls.
Nataliya [291]

Answer:

See explanation

Step-by-step explanation:

There are 14 green, 12 orange and 19 purple tennis balls in the bag,

14+12+19=45 balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green =\dfrac{14}{45};

a randomly chosen ball from the bag is orange =\dfrac{12}{45}=\dfrac{4}{15};

a randomly chosen ball from the bag is purple =\dfrac{19}{45}.

A probability model for choosing a tennis ball from the bag is

\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&\dfrac{14}{45}&\dfrac{4}{15}&\dfrac{19}{45}\end{array}

B. Suppose a tennis ball is randomly selected and then replaced 75 times. You can expect that orange ball appear

\dfrac{4}{15}\times 75=4\times 5=20 times

5 0
3 years ago
In a quiz contest, 4 marks were awarded for a correct answer and -2 marks were given for an incorrect answer. If James gave 5 in
Zina [86]

9514 1404 393

Answer:

  10

Step-by-step explanation:

For c correct answers and 5 incorrect answers, James's score is ...

  4c -2(5) = 30

  4c = 40 . . . . . . add 10

  c = 10 . . . . . . . . divide by 4

James gave 10 correct answers.

4 0
3 years ago
Read 2 more answers
PLEASE HELP QUICK!!!! WILL GIVE BRAINIEST!!!!!
Kipish [7]

Answer:

From top to bottom:

Slope intercept Equation: y = \frac{3}{4} x+2   y=3x-2

Slope: 4    2

Y-int: (0,-2)  (0,10)

Step-by-step explanation:

8 0
3 years ago
Quadrilateral ABCD is similar to quadrilateral EFGH the length of the three longest side in quadrilateral ABCD are 24 feet 16 fe
Triss [41]
Check the picture below

solve for "x"

since we know the two smallest sides for EFGH are 9 and 18, 9 is the smallest of all, and 18 is the next small

thus, for the the quadrilateral ABCD, the smallest is "x" and the next small is given, is 12, since that's smaller than 16 or 24

5 0
3 years ago
Please help me!!
ipn [44]

{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°

7 0
3 years ago
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