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Scorpion4ik [409]
3 years ago
14

(5i-3)(9i+1) Answer must be in standard form

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

-48-22i

Step-by-step explanation:

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Bag A contains 3 red balls and 3 blue balls.
dezoksy [38]

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

4 0
3 years ago
What is the mean of the data set?<br> 108, 305, 252, 113, 191
irinina [24]

Go to the third pic for your answer. I got problem 4 wrong but it shows the correct answer.

7 0
3 years ago
Read 2 more answers
What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 300 feet. The width of the rectangle is 10 feet more than the length. What is the width of the r
gavmur [86]
300 = 2(x + x + 10)
300 = 2(2x +10)
300 = 4x + 20
4x = 280
x = 70
x + 10 = 80
width = 80ft
answer <span>D) 80 feet</span>
7 0
3 years ago
The area of a circle = 64π. Find circumference.
Andrew [12]

Answer:

Area = 16π

Step-by-step explanation:

Area of a circle = πr^2

= 64π

= sqrt64

r = 8 because 8 × 8 is 64

Radius = 8

Now, use the circumference equation:

= 2πr

= 2π(8)

= 16π

4 0
3 years ago
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