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3 years ago

Find the probability of rolling a 2,3, or 4 on the number cube

Mathematics

1 answer:

kolezko [41]3 years ago

3 0

Well, if you wanted the answer, it is provided in the picture that you yourself have uploaded. However, if need more clarification on how to find that answer. Here I go.

So, you can ask yourself, how many numbers are on the cube? 6, from 1-6. So there are 6 possible outcomes. Now between the numbers 1, 2, 3, 4, 5, 6, how many are the numbers 2, 3, or 4? There are 3, so it is 3/6, 1/2, 50%, or 0.5.

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Which rational number will result in a repeating decimal?

natita [175]

Answer:

D. 158/6

Step-by-step explanation:

If you divide 158/6 you get 26.3333333333 which is a repeating decimal, and makes it a rational number.

5 0

3 years ago

Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

The value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=30t-\frac{g_s}{2} t^2$

Velocity is defined as the rate of change of position. Therefore,

$v(t)=\frac{d}{dt}(s(t))$

So, the velocity function is

$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

$v(t)=30-g_st=0\\\\g_s=\frac{30}{t}$

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

5 0

3 years ago

Help please!! Thank you!! :)

Naddik [55]

Answer:

A. m^2+7m+10=0

Step-by-step explanation:

This is a problem in pattern matching, and in substituting a variable for a pattern.

(x^2+3)^2 +7x^2 +21 = -10 . . . . . . given

(x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms

m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3

m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A

5 0

2 years ago

What expressions are equivalent to 3 and 7tenths

rewona [7]

Answer:

3 7/10 = 37/10

Step-by-step explanation:

8 0

3 years ago

students can buy up to 10 books at the book fair the cost of the books as shown in the graph what is the domain of the graph

german

The answer is 8 okay

5 0

3 years ago

Read 2 more answers