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2 years ago

Assume that you randomly select 6 cards from a deck of 52. what is the probability that all of the cards selected are hearts?

1 answer:

5 0

There are 13 hearts in a 52 deck.

You can think about it like this:

P = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47) = 0.00008428903476

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Which equation represents a line that passes through (5, 1) and has a slope of 1/2?

lesya692 [45]

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = $\frac{1}{2}$ and (a, b) = (5, 1), so

y - 1 = $\frac{1}{2}$ (x - 5)

8 0

2 years ago

The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?

NeTakaya

Answer:

Step-by-step explanation:

The formula we need to solve this is:

$d_1+d_2=2a$

Where

$d_1$ is the distance from one focus to the vertex

$d_2$ is the second distance from another focus to same vertex

Note: Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

$a$ is half the length of the major axis (which is 9 here since total major axis is given as 18)

Now we can plug into the equation and solve:

$d_1+d_2=2a\\8.5+d_2=2(9)\\8.5+d_2=18\\d_2=18-8.5\\d_2=9.5$

D is the correct answer.

6 0

2 years ago

Please help and thank you

kondaur [170]

Answer:

Step-by-step explanation:

Let's see how well I can explain this. $\frac{\pi}{6}$ is the same as a 30 degree angle which is in quadrant 1. If you picture the unit circle, right in the center of it is the origin. If you draw a straight line from 30 degrees and through the center (the origin), you will automatically "connect" with the reference angle of 30 (this is true for ALL angles on the unit circle). This puts us in quadrant 3. In quadrant 3, x is negative and so is y. So the terminal point of the reference angle for 30 degrees has the same exact values, but both of them are negative (again, because both x and y are negative in quadrant 3). I can't see your choices but the one you want looks like this:

$(-\frac{\sqrt{3} }{2},-\frac{1}{2})$

3 0

2 years ago

5. Use 3.14 for π to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessa

Brilliant_brown [7]

76.6 is the answer for the question

3 0

2 years ago

Read 2 more answers

Need answer ASAP giving points

dalvyx [7]

Answer:

$- \frac{11}{12}$

Step-by-step explanation:

$\frac{ \frac{5}{8} + \frac{3}{4} }{ \frac{ - 2}{3} - \frac{5}{6} } = \frac{ \frac{5}{8} + \frac{6}{8} }{ \frac{ - 4}{6} - \frac{5}{6} } \\ \\ = \frac{ \frac{5 + 6}{8} }{ \frac{ - 4 - 5}{6} } \\ \\ = \frac{ \frac{11}{8} }{ - \frac{9}{6} } \\ \\ = \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ = \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ = \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ = \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ = - \frac{11}{12}$

8 0

2 years ago