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3 years ago

Reduce 36/60 to simplest terms

Mathematics

2 answers:

Alborosie3 years ago

5 0

Answer:3/6

Step-by-step explanation:

nevsk [136]3 years ago

4 0

Answer:

3/6

Step-by-step explanation:

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A certain car model has a mean gas mileage of 28 miles per gallon with a standard deviation 5 mpg. Suppose nothing is known abou

professor190 [17]

<span>the probability that the average mileage of the fleet us between 27.2 and 28.8 will be:
27.2<x<28.8
this will be:
P(x<28.8)-P(x<27.2)
To evaluate this we use the z-score formula:
P(x<28.2)=P(z<Z)
Z=(x-</span>μ)/σ
μ-mean
σ-standard deviation
thus
z=(28.2-28)/5=0.04
thus
P(x<28.2)=0.5160

p(x<27.2
z=(27.2-8)/5=-0.16
P(z<-0.16)=0.4364
thus
P(x<28.8)-P(x<27.2)=0.5160-0.4364=0.0796

Answer: 0.0796

3 0

4 years ago

East high school basketball team has won six of their first 10 games based on a car wreck or predict the number of games they wi

Olenka [21]

So for they have won 60% of their games. if you carry this logic through for a total of 25 games, u can predict that they will win 15/25 games

5 0

3 years ago

If the domain of the function F = {(x, y) | 2x + y = 7} is {1, 2, 3}, what is the range?

Molodets [167]

Answer:

The range of the function is {1,3,5}.

Step-by-step explanation:

The function is defined as

$F=\{(x,y)|2x+y=7\}$

The set of all possible inputs is called domain and the set of output is called range.

In other words the possible values of x are elements of domain and the values of y are the elements of range.

Since the domain is {1,2,3} and the function is

$2x+y=7$

Put x=1

$2(1)+y=7$

$2+y=7$

$y=7-2$

$y=5$

Put x=2

$2(2)+y=7$

$4+y=7$

$y=7-4$

$y=3$

Put x=3

$2(3)+y=7$

$6+y=7$

$y=7-6$

$y=1$

Since the possible values of y are 5,3 and 1, therefore the range of the function is {1,3,5}

8 0

3 years ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

RSB [31]

Answer:

The volume of the solid is:

$\displaystyle\frac{19\pi}{6}$

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

$x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1$

Since the region is the one for $x\ge 0$ then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

$\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx$

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so $8x-9-x^2$ (since the line is on the top we subtract from it the parabola)