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3 years ago

8

Ten-ninths of the sum of 3x, 12y and -6z

1 answer:

jenyasd209 [6]3 years ago

8 0

9/10(3x+12y+-6z) is the expression, simplified it's:
2.7x+10.8y-5.4z

Hope this helped!

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Which scatterplot does NOT suggest a linear relationship between x and y. Look AT IMAGE

Afina-wow [57]

Answer:

Graph C

Step-by-step explanation:

It is Graph C because the points are majorly curved, while the rest of the lines are linear because they are straight.

Hope this helps! :D

- Luna

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3 years ago

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umka21 [38]

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2 years ago

Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t

LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

$(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

$(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6) $=\dfrac{20}{36}$

The probability distribution of this event is given as follows.

$\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|$

First, we determine the expected Value of this event.

Expected Value

$=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67$

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning $=\dfrac{20}{36}$

If the game is played 100 times

Number of times expected to win

$=\dfrac{20}{36} \times 100\\=56$ times$

Therefore, number of times expected to loose

= 100-56

=44 times

8 0

3 years ago

Group of kids rode horses to canyon. 20 eyes 30 legs between them. How many horses

Solnce55 [7]

If all were kids, there would be 20 legs. A horse has 2 more legs than a kid. The extra 10 legs can be attributed to there being 5 horses.

8 0

3 years ago

What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters

devlian [24]

Answer:

The volume of a cylinder is $1782\ cm^3$ .

Step-by-step explanation:

We have,

Height of cylinder, h = 7 cm

Diameter of cylinder, d = 18 cm

Radius, r = 9 cm

It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

$V=\pi r^2h\\\\V=\dfrac{22}{7}\times (9)^2\times 7\\\\V=1782\ cm^3$

So, the volume of a cylinder is $1782\ cm^3$ .

3 0

3 years ago