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3 years ago

Can someone please help I will add a random question and give 20 extra points :)

Mathematics

2 answers:

BigorU [14]3 years ago

4 0

Answer:

Step-by-step explanation:

probability ∈[0,1]

or probability ≥0

and ≤1

so a,b,g cannot be the probability of an event.

prohojiy [21]3 years ago

4 0

Answer:

See Explanation

Step-by-step explanation:

The probability of an event ranges from 0 to 1.

So, the options c. 0.6, d. 0.888, e. 0 and f. 0.39 represents the probability of an event.

Probability of an event cannot be negative number or more than 1.

Hence, options a. - 1, b. 4.2, g. - 0.5 does not represent the probability of an event.

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Let A(t) be the area of a circle with radius r(t), at time t in min. Suppose the radius is changing at the rate of drdt=6 ft/min

mylen [45]

Answer:

The rate of change is $108\pi$ ft^(2)/min

Step-by-step explanation:

The area of a circle is given by the following equation:

$A(t) = \pi r^{2}$

To solve this question, we have to realize the implicit differentiation in function of t. We have two variables, A and r. So

$\frac{dA(t)}{dt} = 2\pi r \frac{dr}{dt}$

We have that:

$\frac{dr}{dt} = 6, r = 9$ .

We want to find $\frac{dA}{dt}$

$\frac{dA(t)}{dt} = 2\pi*9*6$

$\frac{dA}{dt} = 108\pi$

Since the area is in square feet, the rate of change is in ft^(2)/min.

So the rate of change is $108\pi$ ft^(2)/min

5 0

3 years ago

To which subset does the following number belong? √7

marishachu [46]

Irrational numbers. √7 is an irrational number.

4 0

3 years ago

Line passing through (2,5) and the m= -5/6

kiruha [24]

Answer:

y - 5 = (-5/6)(x - 2)

y - 5 = (-5/6)x + 10/6

y - 30/6 = (-5/6)x + 10/6

y = (-5/6)x + 20/3

Step-by-step explanation:

5 0

3 years ago

Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

5 0

3 years ago

Ey can someone answer my question please cause i've posted it a few times and nothing happen

Arturiano [62]

Answer:

we could migrate here

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers