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sweet-ann [11.9K]
3 years ago
15

A deck of cards contains 52 different cards. A card is drawn at random. What

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0
It’s 0.50 as half of the cards in the pack are black and the other half is red. Hope I helped
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Convert -√3-i to polar form.
Jlenok [28]

Answer:

-sqrt(3) -i = 2 cis (7pi/6)

Step-by-step explanation:

-sqrt(3) -i

We can find the radius

r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)

  = sqrt( 3 + 1)

  = sqrt(4)

  = 2

theta = arctan (y/x)

          arctan (-1/-sqrt(3))

         arctan (1/sqrt(3))

theta = pi/6

But this is in the first quadrant, and we need it in the third quadrant

Add pi to move it to the third quadrant

theta = pi/6 + 6pi/6

         =7pi/6


-sqrt(3) -i = 2 cis (7pi/6)

6 0
3 years ago
Read 2 more answers
A baker can make 120 cupcakes in 2 hours. At that rate, how many cupcakes can he make in 3.5 hours? *
Valentin [98]

Answer:

210

Step-by-step explanation:

first I took 120 and divided by four to show how many cupcakes he can make in thirty minutes (.5 of an hour). this was 30. the reason we divided by four is because in two hours theres four halves.

120÷4=30 for half an hour

30x2=60 this is how many cupcakes he can make in one hour

since we already know how many he makes in two hours we're going to use that

120+60=180 (three hours)

120+60=180 (three hours)180+30 (half an hour) =210

4 0
2 years ago
Do girls read more than boys during the summer? Serena's class asked
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

I dont know how to do the box thing, but I added all the things and boys read more.

girls:1870

boys:1952

The diffrence (when subracting) is 82

7 0
3 years ago
AB is parallel to CD. EG = FG ˆ AEG = 110° ˆ Calculate the size of DGH.
Sever21 [200]

Opposite exterior angles are congruent.

DGH = AEG

DGH = 110

3 0
3 years ago
Calculate the vertex of the parabola using the equation <br> Please helppp meee :((
Sergio [31]

FACTOR ALL OF THE EQUATIONS INTO "y = (x-h)^2 + k," AND THE EQUATION'S VERTEX IS (h,k)

10. y = (x+2)^2 - 11 --> (-2, -11)

11. y = -(x-4)^2 + 32 --> (4, 32)

12. y = 3(x-1)^2 - 5 --> (1, -5)

13. y = -2(x+2)^2 + 5 --> (-2, 5)

14. y = 2(x+1)^2 - 1 --> (-1, -1)

15. y = -5(x-1)^2 + 8 --> (1, 8)

16. y = 3(x-3)^2 - 26 --> (3, -26)

17. y = (x+5)^2 - 32 --> (-5, -32)

18. y = -(x-3)^2 + 10 --> (3, -10)

6 0
3 years ago
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