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earnstyle [38]
3 years ago
8

How to do probability?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:Divide the number of events by the number of possible outcomes.

Step-by-step explanation:

GOOGLE

You might be interested in
When two fractions are between 0 and 1/2, how do you know which fraction is greater? explain
loris [4]
Two fraction between 0 and 1/2 and 1/3 and 1/6. 1/3 = .33 and 1/6= .16. we know that 1/3 is greater than 1/6 because the value is larger. .33 > .16

.33 is definitely greater than 1.6
4 0
3 years ago
Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
Favorite food pizza35 hotdog30 hamburger 200 whta percatage is all student's count
FromTheMoon [43]

Answer:

265

Step-by-step explanation:

200+30=230

230+30=260

260+5=265

6 0
3 years ago
A company makes steel lids that have a diameter of 13 inches. What is the area of each lid? Round your answer to the nearest hun
zheka24 [161]

Answer:

132.73

Step-by-step explanation:

the equation for area of a circle is A=πr*2

if your diameter is 13 simply take half of that and plug into the equation

π(6.5)*2 which when put into a calculator comes out to 132.732289

5 0
3 years ago
Read 2 more answers
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