Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?

The probability that at most 24 heads occur is; 24/25.

What do we mean by probability?

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of all the events occurring need to be 1.

We have been given that a fair coin is tossed 25 times.

So, We need to find the probability:

Favourable outcomes = 24

Total outcomes = 25

The formula of probability = Favourable outcomes/Total outcomes

⇒ 24 /25

Therefore, the probability that at most 24 heads occur is; 24/25.

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The number of times that both coins come up heads will be 26.25.

What is the expected value?

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

If two coins are flipped. Then the total number of the event is given as,

Total = 2 x 2 = 4 {HH, HT, TH, TT}

Favorable event = 1 {HH}

The probability of getting both same, then we have

P = 1/4

Jenna flips two pennies 105 times. Then the number of times that both coins come up heads will be given as,

E(x) = p × n

E(x) = 1/4 × 105

E(x) = 26.25

The number of times that both coins come up heads will be 26.25.

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Answer:

40

Step-by-step explanation:

5(8) = x

use 5 as bags and use 8 as number of goldfish

then times the 2 number

The three numbers are 6, 7 and 9

Explanation:

First of all exclude the numbers which aren't correct.

From the 4th data,We can conclude the digit 5, 2 and 3 are wrong.

Now,

• 147 - One digit is right but wrong placed
• 189 - One digit is right and placed correctly
• 964 - Two digits are correct but at wrong place
• 523 - All digits are wrong
• 286 - One digit is right but in the wrong place

We've to find the three digits :

From case 4: 5, 2 and 3 are wrong

So, remove 5, 2 and 3 from all the cases

The numbers are:

• 147 - One digit is right but wrong placed
• 189 - One digit is right and placed correctly
• 964 - Two digits are correct but at wrong place
• _86 - one digit is right but in the wrong place

From 1st and 3rd we can say that: 4 is present in both the case but wrongly placed.

Now the digits become:

• 1_7 - One digit is right but wrong placed
• 189 - One digit is right and placed correctly
• 96_ - Two digits are correct but at wrong place
• _86 - one digit is right but in the wrong place

From 3rd and 4th case we can say that: 9 and 6 are correct but wrongly placed, 8 is not the number and 6 is placed at first

So, the two numbers of a 3 digit number are 6 and 9

From 2nd, 3rd and 4th case, the position of 6 and 9 are:

6  _  9

From 1st case, 7 is the digit but wrongly placed. So, the 3 digit number becomes:

6 7 9