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Neko [114]
4 years ago
10

Roderick works for JB Spas. He is installing a circular spa that will be enclosed by a square deck. The radius of the spa is 3.2

5 feet. What is the perimeter of the deck, in feet?
Mathematics
1 answer:
MariettaO [177]4 years ago
4 0
The first thing we must do for this case is to find the diameter of the circle.
 We have then:
 d = 2 * r
 Where,
 r: radius
 Substituting:
 d = 2 * (3.25)
 d = 6.5 feet
 We now look for the perimeter of the square.
 P = 4L
 Where,
 L: square side
 L = d = 6.5 feet ("a circular spa that will be enclosed by a square deck")
 Substituting we have:
 P = 4 * (6.5)
 P = 26 feet
 Answer:
 
The perimeter of the deck, in feet is:
 
P = 26 feet
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3 years ago
Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
The probability that Caroline wins a raffle is given by the expression
RSB [31]

Answer:  \frac{n-m}{n}

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\

and now the expression is one single fraction.

8 0
3 years ago
How many possible combinations of 6 numbers?
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8 0
3 years ago
Solve the proportion. Show your work. 3x + 1 = 511
k0ka [10]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3x + 1 = 511

Subtract 1 from both sides:

3x = 510

Divide both sides by 3:

x = 170

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
Read 2 more answers
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