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Sergio039 [100]

3 years ago

11

When trying to find the probability of rolling an even number on a number cube with numbers 1 through 6, how many desired outcom

es are there?

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

3

Step-by-step explanation:

3 even numbers 2,4,6

or 1/2

or 50%

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People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a fam

Lady_Fox [76]

Answer:

23 gallons of water

Step-by-step explanation:

People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?

This is calculated as:

33.9 % × 67.8 gallons of water

= 0.339 × 67.8 gallons of water

= 22.9842 gallons of water

Approximately = 23 gallons of water

Therefore, 23 gallons of water are used everyday for cooking

5 0

2 years ago

Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1

evablogger [386]

$\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)$

3 0

3 years ago

You roll a die, winning nothing if the number of spots is odd, $5 for a 2 or a 4, and $20 for a 6. a) Find the expected va

Dovator [93]

TeX rendering has been iffy at best on this site for the past few days, at least in my experience. I've attached a solution below.

8 0

3 years ago

The top 1/8 of the runners advance to the finals for the track and field competition. What is the decimal value of the number? S

egoroff_w [7]

To find the decimal form, you have to manually divide 1 by 8. Since 8 is greater than 1, the quotient would then start with 0., then you add a 0 next to 1, to make it 10. This time, divide 10 by 8. The nearest answer would be 1, because 1 *8 = 8. Subtracting this from 10, you get 2. Add another 0 to 2, to make it 20. Do the cycle all over again. The complete solution is as follows:
0.125
---------------------------
8 | 10
- 8
------------------------
20
-16
-------------
40
- 40
-------------
0

<em>Hence, the decimal form of 1/8 is 0.125.</em>

8 0

3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

3 years ago