All categories

3 years ago

PLEASE SHOW FULL SOLUTIONS!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE HELP ME! ANYONE!!

Mathematics

1 answer:

lianna [129]3 years ago

3 0

9514 1404 393

Answer:

x² +y² = 16

Step-by-step explanation:

The diagonal of a square is √2 times the side length, so the diameter of a circumscribed circle is √2 times the diameter of an inscribed circle. Each of the two outer circles is √2 times the diameter of the one just inside it, so the outer circle is (√2)(√2) = 2 times the diameter of the inner circle.

The equation of the largest circle with radius 2·2=4 is ...

x² +y² = 16

You might be interested in

Graph the image of H(-8,5) after a reflection over the x-axis. Answer ?

TEA [102]

Answer: plot a point at (-8, -5)

The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.

The rule can be written as $(x,y) \to (x,-y)$

6 0

3 years ago

An online video game site charges a $10 membership fee and a $6 monthly cost. Another game site charges $6 membership and a $8 m

Romashka [77]

Answer:

SO... whats the actual question?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the ra

ruslelena [56]

Answer:

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

$E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6=349.2$

$V(X) = E(X^2)-[E(X)]^2=349.2-(18.6)^2=3.24$

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

$\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|$

Point a:

The Expected value or the mean value of X with set of possible values D, denoted by E(X) or μ is

$E(X) = $\sum_{x\in D} x\cdot p(x)$

Therefore

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

If the random variable X has a set of possible values D and a probability mass function, then the expected value of any function h(X), denoted by E[h(X)] is computed by

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)$

So $h(X) = X^2$ and

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)\\E[X^2]=$\sum_{D}x^2\cdot p(x)\\ E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6\\E(X^2)=349.2$

The variance of X, denoted by V(X), is

$V(X) = $\sum_{D}E[(X-\mu)^2]=E(X^2)-[E(X)]^2$

Therefore

$V(X) = E(X^2)-[E(X)]^2\\V(X)=349.2-(18.6)^2\\V(X)=3.24$

Point b:

We know that the price of a freezer having capacity X is 60X − 650, to find the expected price paid by the next customer to buy a freezer you need to:

From the rules of expected value this proposition is true:

$E(aX+b)=a\cdot E(x)+b$