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3 years ago

What is the answer to the problem i need help with?

Mathematics

1 answer:

AveGali [126]3 years ago

6 0

Answer:

Step-by-step explanation:

Recall the equation for a circle:

$(x-h)^2+(y-k)^2=r^2$ , where the center is (h,k) and the radius is r.

The given equation is:

$(x+5)^2+(y+7)^2=21^2$

Another way to write this is:

$(x-(-5))^2+(y-(-7))^2=21^2$

Thus, we can see that h=-5 and k=-7.

The center is at (-5, -7).

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If a set contains 15 proper subsets then number of elements in that set

Sav [38]

Answer

32,768

Step-by-step explanation:

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3 years ago

Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw

eimsori [14]

Answer:

a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.

b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.

c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.

Step-by-step explanation:

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3 years ago

Enter an expression for the perimeter of the given figure. Simplify the expression.

dlinn [17]

Answer:

4x + 28.4 in.

Step-by-step explanation:

perimeter = sum of lengths of sides

perimeter = x + 2 + x + 2 + x + 2 + x + 2 + 10.2 + 10.2

perimeter = 4x + 28.4

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2 years ago

Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a

Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$