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3 years ago

13

You randomly select one card from a 52-card deck. Find the probability of selecting the 9 of spades or the 3 of clubs.

1 answer:

bonufazy [111]3 years ago

8 0

Answer:

2/52=1/26

Step-by-step explanation:

You might be interested in

Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

6 0

3 years ago

#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters

WARRIOR [948]

4x2x2=16cm^3, which is 160mm

5 0

3 years ago

From a rope 11m long two pieces of lengths 13/5m and 33/10m are cut off. What is the length the remaining rope?

Serhud [2]

Answer:

$\frac{51}{10}$ m

Step-by-step explanation:

Given parameters:

Length of rope = 11m

First length cut off = $\frac{13}{5}$ m

Second length cut off = $\frac{33}{10}$ m

Unknown:

Remaining length = ?

Solution:

Let us find the total length cut off first;

= $\frac{13}{5}$ m + $\frac{33}{10}$ m

= $\frac{26 + 33}{10}$

= $\frac{59}{10}$ m

So,

Remaining length = 11 - $\frac{59}{10}$

= $\frac{110 - 59}{10}$

= $\frac{51}{10}$ m

5 0

3 years ago

What is the volume of this rectangular prism? The length is 5 1/2. The width is 1 3/8. The height is 1 2/3.

natka813 [3]

Answer:

12 29 /48 in mixed number form,

≈ 12.6 as a rounded decimal

Step-by-step explanation:

Multiply all three numbers together for the volume.

3 0

3 years ago

Solve for 0: sin0=cos(0+25)

leonid [27]

Answer:

0= 0.991203

And its a false solution

8 0

3 years ago