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erica [24]
4 years ago
9

A number cube with the numbers 1 through 6 is rolled.

Mathematics
1 answer:
olchik [2.2K]4 years ago
6 0

Answer:

Step-by-step explanation:

Given that, we have a number cube label 1,2,3,4,5 and 6.

Then, the sample space is

S= {1, 2, 3, 4, 5, 6}

The probability of rolling a number different from 9?

Since we don't have 9 in the sample space, then the probability of rolling a number different from 9 will be the have 1,2,3,4,5 and 6 as the outcome

Then,

Pr(rolling number different from 9) = 6 / 6 = 1

Pr(rolling number different from 9) = 1.

The second option is correct.

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Step-by-step explanation:

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3 years ago
Malcolm and Theo's families are both traveling to the same vacation resort.
snow_tiger [21]

Answer:

Malcom's family travel 15 miles per hour faster than Theo's

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

Malcom's Family:

d = 65t

To determine the equation of Theo's family, we refer to the attached graph.

From the graph:

t = 1; d = 50

t = 2; d = 100

First, we determine the slope, m:

m = \frac{d_2 - d_1}{t_2 - t_1}

m = \frac{100 - 50}{2- 1}

m = \frac{50}{1}

m = 50

Next, we determine equation for Theo's family using:

d - d_1 = m(t - t_1)

d - 50 =50(t - 1)

d - 50 =50t - 50

Add 50 to both sides

d - 50 +50=50t - 50 + 50

d =50t

So, we have the following:

d = 65t --- For Malcom's family

This implies that Malcom's family travel at 65 miles per hour

d =50t --- For Theo's family

This implies that Theo's family travel at 50 miles per hour

The difference between this rates is:

Rate = 65t - 50t

Rate = 15t

<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>

5 0
3 years ago
If RST equals NPQ, which of the following are true?
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3 years ago
In need of help pls. Try and answer asap.
Alina [70]

Answer:

Step-by-step explanation:

∠1 and 85 are supplementary

m∠1 = 180 - 85 = 95°

4 0
3 years ago
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