Answer:
The probability that the product of 2 numbers that Drake rolls is less than = 
Step-by-step explanation:
Drake rolls two fair number cubes i.e. 6 sided die. He then multiplies the numbers shown on each die. The result of the all possible products are shown in the given table. The given table is missing a 1 in the first row. The complete first row will be:
1 2 3 4 5 6
The total number of possible outcomes are 36. We have to find the probability that product of two numbers that Drake rolled is less than 10. For this, first we need to count the number of outcomes that are less than 10. From the table we can see that the number of possible outcomes that are less than 10 are = 17
Probability is defined as the ratio of favorable outcomes to the total number of outcomes. Here, total outcomes are 36 and favorable outcomes are 17.
So,
The probability that the product of 2 numbers that Drake rolls is less than =
D.
Step-by-step explanation:
In this case, you can apply the SSS theorem where all three corresponding sides are equal in length.
In the given triangles, side SX≅UX
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Congruent triangles : brainly.com/question/12824576
Keywords: perpendicular, bisector, congruent
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Answer:
Length OX = 7.09 units
Step-by-step explanation:
The diagram of the full question is attached to this solution.
Let the length of OX be x
Then length of OD = (13 - x)
From the image of the figure, it is given that
Angle BOL = Angle LOP
Let that angle be equal to θ
Angle BOL = Angle LOP = θ
But since lines BX, OL and PD are evidently parallel to one another, we can say that
Angle OPD = Angle LOP = θ (alternate angles are equal)
Also, Angle OBX = Angle BOL = θ (alternate angles are equal)
And from trigonometric relations,
Sin θ = (x/12)
And
Sin θ = (13 - x)/10
Since sin θ = sin θ
We can then equate
(x/12) = (13 - x)/10
cross multiplying
10x = 12 (13 - x)
10x = 156 - 12x
10x + 12x = 156
22x = 156
x = (156/22) = 7.091 = 7.09 to the nearest hundredth.
Hence, length OX = 7.09 units
Hope this Helps!!!
t he number of views expected to be four weeks from now can
be calculated using the equation:
F = P ( 1+i)^n
Where F is the future views
P is the present views
i is the percent increase in views
n is the number of weeks
F = 15 ( 1+ 0.22)^4
F = 33 views
Answer: 1.) y = x + 11
2.) y = -2x + 5
Step-by-step explanation: Use the values in the chart to calculate the slope: difference in y-values divided by difference in x-values.
Then take the calculated slope, substitute for <u>m </u>in the point slope form of the equation, choose any pair of values in the chart, substitute for y and x in the equation and solve for b.
