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natulia [17]
3 years ago
5

A card is chosen at random from a deck of 52 cards. It is then replaced and a second card is chosen. What is the probability of

getting a jack and then an eight?
A standard deck of playing cards contains 52 cards in 4 suits of 13 cards each/ 2 suits are read and 2 suits are black. Find each probability. Assume the first card is replaced before the second card is drawn.
P(black, queen)
P(black, diamond)
P(jack, queen)
Mathematics
1 answer:
posledela3 years ago
4 0
P(jack,8) = \frac{4}{52}\times\frac{4}{52}=0.0059
P(black, queen) = \frac{1}{2}\times\frac{4}{52}=0.0385
P(black, diamond) = \frac{1}{2}\times\frac{13}{52}=0.125 
P(jack, queen) = \frac{4}{52}\times\frac{4}{52}=0.0059
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Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e
netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

F(x)=\frac{e^x-1-x}{x^2}

When,

x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281

x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885

x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091

x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438

x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)

Correct upto six decimal places.

Now,

\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}   (\frac{0}{0}) form, applying L-Hospital rule that is differentiating numerator and denominator we get,

\lim_{x\to 0}F(x)

=\lim_{x\to 0}\frac{e^x-1}{2x}    (\frac{0}{0}) form.

=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).  

8 0
3 years ago
If someone could help me, it’d be great!
ryzh [129]
ABC has
A as the first letter
B as the second letter
C as the third letter
The order is important

Similarly with EFG we hae
E as the first letter
F as the second letter
G as the third letter
The order is also important

Based on the orderings, we can say
A corresponds to E
B corresponds to F
C corresponds to G

Which means
A rotates to E
B rotates to F
C rotates to G

The final answer is choice C) Angle C
since we're looking for the angle that rotates or maps to angle G
8 0
3 years ago
F(x) = a(x - h)power of 3 + k   please describe what a, h and k do within our function. 
Zarrin [17]

F(x) = a(x - h)³ + k

The parent graph is F(x) = x³

k - shifts the parent graph up k-units (or down if it is negative).  This is also called a vertical shift.

h - shifts the parent graph to the right h-units (or left if it is negative).  This is also called a horizontal shift.

a - stretches the parent graph vertically by a factor of "a"

Additonally, the coordinate (h, k) is the center/vertex of the graph.


6 0
3 years ago
What is the answer to -134>-a+2(-7-7a)
maw [93]

Answer:

the answer is a > 8

i hope this helps!!

6 0
3 years ago
How do i write 5,972,000,000,000,000,000,000,000kg in Scientific Notation
Brrunno [24]
5.972 × 10<span>21.

Hope this helps.</span>
7 0
4 years ago
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