You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two events occur together: E1, in which the card drawn is a black card, and E2, in which the card drawn is a numbered card, 2 through 10.What is the probability of getting a black card and a numbered card? Calculate the probabilities P(E1) and P(E2) as fractions.

Answers

Answer 1

Answer:

$n (S) = 5\n n (E_1) = 2 x 13 = 26\nP (E_1) (n (E_1))/(n (S)) = \frac {26}{52} = (1)/(2) \n\n n (E_2) 4 x 9 = 36\nP (E_2)(n (E_2))/(n (S))=(36)/(52)= (9)/(13)$

EDMENTUM / PLATO ANSWER!!!!!!!!

CAN JUST WRITE:

$P (E_1) (n (E_1))/(n (S)) = \frac {26}{52} = (1)/(2)$ = (50%)

$P (E_2)(n (E_2))/(n (S))=(36)/(52)= (9)/(13)$ = (69.2%) :)))))

Answer 2

Answer:

First, let's count:

there are 26 possible outcomes for E1 (black card)

there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)

there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)

the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):

P(E1 and E2) = 18/52 (34.6%)

And as asked:

P(E1) = 26/52 = 1/2 (50%)

P(E2) = 36/52 = 9/13 (69.2%)

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hours of burning, a candle has a height of 25.4 centimeters. After 23 hours of burning, its height is 19.8 centimeters. What is the height of the candle after 22 hours?

The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C

Answers

Answer:

The dimensions of constant C are of $[L^(3)T]^(-4)$

Step-by-step explanation:

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Since the dimensions of volume are $[L^(3)]$

Each of the term shall have a dimension of $[L^(3)]$ since they are in addition.

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ASAP Find the slope of The ordered pairs (0,-17),(2,13)

Answers

Answer:

m=15

Step-by-step explanation:

Answer:

1 5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hope this helps

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.x-intercept 7; y-intercept -5

Answers

Answer:

The line with the x- and y-intercepts below has the following equation:

$f(x) = (5x)/(7) - 5$

Step-by-step explanation:

The equation of the line has the following format:

$f(x) = ax + b$

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when $x = 0, y = f(x) = -5$ , so:

$f(x) = ax + b$

$-5 = a(0) + b$

$b = -5$

For now, the line has the following equation:

$f(x) = ax - 5$

x-intercept 7

This means that when $y = f(x) = 0,x = 7$ , so:

$f(x) = ax - 5$

$0 = 7(a) - 5$

$7a = 5$

$a = (5)/(7)$

So, the line with the x- and y-intercepts below has the following equation:

$f(x) = (5x)/(7) - 5$

The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marcia is 5 inches shorter than Ivan, but twice as tall as Sally-Jo. What is the mean height of the Schuller family?

Answers

Answer:

Mean = 5 feet 2 inches.

Step-by-step explanation:

1 feet = 12 inches

Height of Dad = 6 feet 2 inches = {(6 × 12)+2} = 74 inches

Mom is 3 inches shorter than dad = 74 - 3 = 71 inches (5 ft 11 in)

Since mom is 2 inches taller than Ivan,

Height of Ivan = 71 - 2 = 69 inches (5 ft 9 in)

Marica is 5 inches shorter than Ivan,

Height of Marica = 69 - 5 = 64 inches (5 ft 4 in)

Marica is twice as tall as Sally-Jo.

Height of Sally-Jo = 64 ÷ 2 = 32 inches (2 ft 8 in)

Hence the mean height of the Schuller family

= $(74+71+69+64+32)/(5)$

= 62 inches

converting 62 inches to feet = $(62)/(12)$ = 5 feet 2 inches

Mean height of the Schuller family is 5 feet 2 inches.

Interpret the slope in terms of the situation. Does it make sense?Interpret the y-intercept in terms of the situation. Does it make sense?

Determine the equation of the line of best fit. Write your answer in slope-intercept form. Any non-integers in this problem should be entered as decimal numbers. Round to three decimal places when necessary.

Answers

a) Yes the slope makes sense, as the players foot length gets larger, their overall height also increases signifying that there is a correlation between foot size and height.

b) The y-intercept occurs when the line "intercepts" the y-axis. It also makes sense because a player that has 25 cm in distance from heel to toe may very likely be 1.55 meters in height. This is probable.

c) The equation of any line is:

y=mx+b (m= slope, b= y-intercept)

The slope of this line can be found by locating two points where the line intersects. I will use points (25.5,1.6) and (26.25,1.7).

The formula to find the slope is (y(2)-y(1)) / (x(2)-x(1)) = m

1.7 - 1.6 / 26.25 - 25.5 = .1/.75 = .13333

This line crosses the y-intercept at about 1.55m

The equation of this line is:

y = .1333 x + 1.55

Answer:

y = 0.133x - 1.791

Step-by-step explanation:

The points (27, 1.8) and (27.75, 1.9) lie on the line of best fit. Use these points to find the slope:

m = y2 - y1 1.9 - 1.8 0.1

------------- = ----------------- = -------- = 0.133

x2 - x1 27.75 - 27 0.75

Plug the value of the slope into the equation of the line y = mx +b to get .

y = 0.133x + b

Substitute the point (27, 1.8) into the equation and solve for b:

1.8 = 0.133(27) + b

b = -1.791

Plug the value of b into the equation of the line of best fit to get:

y = 0.133x - 1.791

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This answer came straight from the sample answer on Edmentum.com.

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