Find the probability of drawing a 10 from a standard deck of 52 cards,

Mathematics

2 answers:

Bond [772]3 years ago

6 0

Answer:

1/13

Step-by-step explanation:

4 kings 52 cards in total

4/52=1/13

pashok25 [27]3 years ago

3 0

Answer:

4/52 or 1/13 (simplified)

Step-by-step explanation:

There are 4 "10's" in a pack.

This means you have the chance to pick 4 10's.

So out of 52 cards, you can get 4.

4/52 -> Which can be simplified to 1/13.

This is the probability of getting a 10 (once) in a standard deck of cards.

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Karen, 28 years old and a single taxpayer, has a salary of $33,000 and rental income of $33,000 for the 2019 calendar tax year.

mart [117]

Answer:

$4,800

Step-by-step explanation:

The maximum contribution for traditional IRA in 2019 = $6000

Given that;

karen has a salary of $33,000 and rental income of $33,000; then total income = $66,000

AGI phase-out range for traditional IRA contributions for a single taxpayer who is an active plan participant is $64,000 – $74,000.

PhaseOut can be calculated as: $\frac{66,000-64000}{74,000-64,000} *6000$

= $\frac{2000}{10000} *6000$

= 0.2 * 6000

= 1200

Therefore, the maximum amount that Karen may deduct for contributions to her traditional IRA for 2019 = The maximum contribution for traditional IRA in 2019 - PhaseOut

= $6000 - $1,200

= $4,800

3 0

3 years ago

caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look

Sunny_sXe [5.5K]

Check the picture below.

thus then

$\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
\\\\\\
y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards$