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3 years ago

13

A pair of dice is rolled. What is the probability that the sum of the two dice will less than 4 given that the first die rolled

is a 2?

1 answer:

leonid [27]3 years ago

5 0

1/6 because the only way the sum can be less than 4 if the first die is a 2 is if the second die is a 1.

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Find the slope of the line through each pair of points (0,16)(4,-19)

Juliette [100K]

Use slope formula
(y1-y2)/(x1-x2)

(16 - -19)/(0 - 4) = 35/-4

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3 years ago

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A carpenter has less than 120 min. to spend painting furniture each day. Today, he has spent 30.5 min. painting a desk. Now he w

FinnZ [79.3K]

Answer:

Hence, a carpenter can paint a maximum of 7 chairs.

Hence, option A is correct.

Step-by-step explanation:

A carpenter has less than 120 min. to spend painting furniture each day.

Today, he has spent 30.5 min. painting a desk.

Now he will paint x chairs, each of which takes 12.5 min.

i.e. he will take a total of 12.5x minutes in painting 'x' chairs.

Also total time spent on painting furniture each day will be equal to time spent on painting a desk and all of the chairs.

Hence,

30.5+12.5x<120 (since the total time he spends on painting is less than 120 mins.)

⇒ 12.5 x<120-30.5

⇒ 12.5 x<89.5

⇒ x<7.16 ( on dividing both side of the inequality with 12.5)

Hence, a carpenter can paint a maximum of 7 chairs.

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3 years ago

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Convert 2.8 radians to degree measure. Round your answer to the nearest hundredth.

Sergeeva-Olga [200]

Answer:

16.04°

Step-by-step explanation:

$2.8 \: rad = x \: degrees \\$

1rad × 180/π = 57.296°

$x = 2.8 \times \frac{180}{\pi} = 16.0428 \\ x = 16.04$

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3 years ago

Please please help 100 points

stiks02 [169]

We're given

$\displaystyle \int_4^{-10} g(x) \, dx = -3$

which immediately tells us that

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In other words, swapping the limits of the integral negates its value.

Also,

$\displaystyle \int_4^6 g(x) \, dx = 5$

The integral we want to compute is

$\displaystyle \int_{-10}^6 g(x) \, dx$

which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is

$\displaystyle \int_{-10}^6 g(x) \, dx = \int_{-10}^4 g(x) \, dx + \int_4^6 g(x) \, dx = 3 + 5 = \boxed{8}$

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3 years ago

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WARRIOR [948]

Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

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2 years ago