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Mademuasel [1]
3 years ago
11

An earthquake was felt throughout a circular area of 1808.64 Square miles what was the radius of the circular area

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

A

Step-by-step explanation:

The area of a circle is given by the formula:

A=\pi r^2

Where <em>A</em> is the area and <em>r</em> is the radius.

Since we already know the area, we can plug it in and solve for <em>r</em>. Thus:

1808.64=\pi r^2\\

Divide both sides by π. We can use 3.14 as an approximation. The πs on the right cancel out:

1808.64\div(3.14)=r^2\\r^2=576

Take the square root of each side:

\sqrt{r^2}=\sqrt{576}

The squares on the left cancel. The root of 576 is 24:

r=24

Therefore, the radius is 24.

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Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe
Juliette [100K]

Answer:

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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

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

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165

5 0
3 years ago
The formula for converting Celsius temperatures to Fahrenheit temperatures is a linear equation. Water freezes at 0°C, or 32°F a
BlackZzzverrR [31]

Answer:

The formula y = mx + b sometimes appears with

different symbols.

For example, instead of x, we could use the

letter C. Instead of y, we could use the letter F.

Then the equation becomes

F = mC + b.

All temperature scales are related by linear

equations. For example, the temperature in

degrees Fahrenheit is a linear function of degrees Celsius.

Water freezes at: 0°C, 32°F

Water Boils at: 100°C, 212°F

Hope this helps!

4 0
3 years ago
A rectangular kitchen is twice as long as it is wide, and it’s perimeter is 84 feet. Find the dimensions of the kitchen
Stells [14]
So since the kitchens long is wide x 2 if you add the 2 longs it makes a wide so you end up with 3 wides technically. So you divide 84 by 3 and u get 28 so make your 2 wides 28. Then u divide 28 by 2 to get 14 so your longs are 14 and your wides are 28 if u add it all together it’s 84.
6 0
3 years ago
What is the area of triangle ABC ? round to the nearest square unit ?
mash [69]

Answer: 33 square units

Step-by-step explanation:

Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.

Heron's formula:-

\text{Area of triangle}=\sqrt{s(s-a)(s-b)(s-c)}, where s is the semiperter and a,b and c are the side-lengths of the triangle.

Let a=16 , b=10 and c=8

Then,

s=\dfrac{a+b+c}{2}=\dfrac{16+10+8}{2}=17

Using Heron's formula:-

\text{Area of triangle}=\sqrt{17(17-16)(17-10)(17-8)}\\\\\Rightarrow\ \text{Area of triangle}=\sqrt{1071}=32.7261363439\approx33\text{ square units}

5 0
3 years ago
Write 0.245bar in the form p/q
frozen [14]

Answer:

245/999

Step-by-step explanation:

0.245bar = n

1000 n - n = 245

999n = 245

n = 245/999

6 0
3 years ago
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