All categories

3 years ago

What is p(4,4) on two consecutive rolls of a number cube

1 answer:

6 0

The probability of rolling 1 number, a four, on a 6-sided number cube, is 1/6.
On the second roll, the probability of rolling 1 number, a four, is again 1/6 (remember theoretical probability for one event does not consider previous rolls).
But the probability of rolling a four on 2 on consecutive rolls will be the probability of the first event times the probability of the second event. Think of it as rolling a four on the first time <em>and</em> the second time, and whenever there is "and" you need to multiply the probabilities. The probability of rolling a four on two consecutive rolls is
(1/6)*(1/6) = 1/36.

You might be interested in

Find the quotient 7.980 divided by 0.19

Advocard [28]

The answer 7980 divided by .19 =/is 42.

5 0

3 years ago

Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and

ipn [44]

Answer:

The equations [(-5) + (-3)] + 6 = -2 and [6 + (-5)] + (-3) = -2 he can use to find the sum of the temperatures for those months ⇒ 3rd , 5th

Step-by-step explanation:

i took the assignment

7 0

3 years ago

Help me i need to submit to my teacher by 8pm

Vladimir [108]

Please see the figure. We'll first work out half the area of the rounded triangle, half the unshaded part, then double it, then subtract it from the big square.

Half the area is the circular sector PTQ (with center P, arc TQ) minus the right triangle PUT.

A/2 = area(sector PTQ) - area(triangle PUT)

The triangle is half of equilateral triangle PQT, so a 30/60/90 right triangle so we know the sides are in ratio 1:√3:2 so

TU = (7/2)√3

area(PUT) = (1/2) (7/2)(7/2)√3 = (49/8)√3

area(sector PTQ) = (angle TQP / 360°) πr^2

We know angle TQP is 60° because TQP is equilateral. r=7.

area(sector PTQ) = (60°/360°) π (7²) = 49π/6

Putting it together,

A/2 = area(sector PTQ) - area(triangle PUT)

A = 2(49π/6 - (49/8)√3)

A = 49(π/3 - √3/4) square cm

I hate ruining a nice exact answer with an approximation, but they seem to be asking.

A ≈ 30.095057615914535

Check:

I'm not sure how to check it. I'd estimate it's about 25% bigger than equilateral triangle PQT with area (√3/4)7² ≈ 21.2, so around 27. 30 seems reasonable.

Now the real area we seek is the big square PQRS minus A, so

area = 7² - 30.095057615914535 = 18.904942384086 sq cm

They want square meters for some reason; we scale by (1/100)²

Answer: 0.00189 square meters

7 0

3 years ago

Mr johnson sells erasers for 3 dollars each he sold 96 erasers last week and he sold 204 erasers this week about how many more m

elena-14-01-66 [18.8K]

$324 more this week. (204*3) - (96*3)

7 0

3 years ago

A triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). It is translated so that its new coordinates

Alisiya [41]

Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).

Questioon says to find which type of translation occured from the given choices.

It can be easily found by drawing the given coordinates.

Original position of the triangle is drawn in Brwon colour.

New position of the triangle is drawn in Green colour.

From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.

Hence choice "A) It moved left two units and up two units." is the final answer.

4 0

3 years ago

Read 2 more answers