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tia_tia [17]
2 years ago
15

Which expression represents the probability of rolling a 5 exactly three times in ten rolls of a number cube with six sides?

Mathematics
2 answers:
natita [175]2 years ago
8 0
I'm not sure what the options are as this appears to be a multiple choice question, but this probability is as follows:
P(X=3)={10\choose3}(\frac{1}{6})^3(\frac{5}{6})^7
scoray [572]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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Simplify: -5x +11x - 4+2<br> A 16x-6<br> B 4x<br> 7x-3<br> D<br> 6x-2
emmasim [6.3K]

Answer:

Option D

Step-by-step explanation:

Combine Like Terms.

-5x+11x-4+2\\\\\boxed{6x-2}

Hope this helps.

4 0
3 years ago
Read 2 more answers
A lidless box is to be made with a volume of 256256 ft cubed 3. Find the dimensions of the box that requires the least amount of
sveta [45]

The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.

The dimensions of your box will be 8 ft square by 4 ft high.

_____

If the base dimension is x ft, the area (quantity of material) is

... a = x² + 4x(256/x²)

... a = x² + 1024x⁻¹

Then the derivative of area with respect to x is

... a' = 2x -1024x⁻²

Setting this derivative to zero and solving for x gives the value of x for minimum area.

... 0 = 2x -1024/x²

... 512 = x³

... x = 8 . . . . . . . . same as above.

7 0
3 years ago
A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the f
algol [13]

Using linear function concepts, it is found that the correct statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at brainly.com/question/24808124

8 0
2 years ago
Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?
NISA [10]
Y = mx + b

m = 1
b = 3

y = x+3

Hope it helps :)
5 0
3 years ago
PLEASE HELP WILL MARK BRANLIEST. There are twelve shirts in your closet, four blue and eight green. You randomly select one to w
lbvjy [14]

Answer:

\frac{4}{8} = \frac{2}{4}

7 0
2 years ago
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