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Ira Lisetskai [31]
3 years ago
14

What is the area of a pizza with a diameter of 12 in​

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

113 inches

\pi \times 6 ^{2}

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A deep sea diving bell is being lowered at a constant rate. After 10 ​minutes, the bell is at a depth of 600 ft. After 40 minute
Degger [83]
<h2>Average rate of lowering per​ minute = 36.67 ft/min</h2>

Step-by-step explanation:

After 10 ​minutes, the bell is at a depth of 600 ft

After 10 minutes

                   Depth of bell = 600 ft

After 40 minutes the bell is at a depth of 1,700 ft.

After 40 minutes

                   Depth of bell = 1700 ft

Time gap = 40 - 10 = 30 minutes

Depth fallen = 1700 - 600 = 1100 ft

We have

           Depth fallen = Average rate of lowering per​ minute x Time gap

           1100 = Average rate of lowering per​ minute x 30

           Average rate of lowering per​ minute = 36.67 ft/min

7 0
3 years ago
nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep
Arlecino [84]

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=30, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

3 0
3 years ago
5 days = ? hours <br> Can you please show work so i can understand better?
son4ous [18]
24 Hours in one Day

5 Days

24 <span>× 5 = 120 Hours


Hope that helps! </span>
8 0
2 years ago
Read 2 more answers
Suppose a jumbo ice cream cone is filled with vanilla and strawberry ice cream at a ratio of 2:1. If the diameter of the cone is
quester [9]
Fraction of strawberry = 1 / (2 + 1)
Fraction of strawberry = 1/3

Volume = πr²h/3
Volume = π(1.5)²(8)/3
Volume = 6π

Volume of strawberry = 1/3 x 6π
Volume of strawberry = 2π in³
5 0
3 years ago
Read 2 more answers
A ball will be drawn from the bag containing 20 balls numbered one through 20 if each ball is equally likely to be drawn what is
son4ous [18]

Answer:

3/5

Step-by-step explanation:

There are 20 balls, numbered 1 through 20.

Of these, 10 are even, 4 are less than five, and 2 are both even and less than 5.

So the probability is:

P(even or <5) = P(even) + P(<5) − P(even and <5)

P(even or <5) = 10/20 + 4/20 − 2/20

P(even or <5) = 12/20

P(even or <5) = 3/5

5 0
3 years ago
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