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3 years ago

If you were to too a dice one time what is the odds of rolling a number less than three?

Mathematics

1 answer:

Doss [256]3 years ago

4 0

Answer:

1/3 or 33.33%

Step-by-step explanation:

A regular dice has 6 sides each with a single number from 1 to 6. Therefore, there are a total of 6 possible outcomes. Out of all of these only two outcomes are actually less than three and those are the numbers 1 and 2. Meaning, that if the dice were rolled only a single time then the probability of rolling a number less than 3 would be 2/6 or 1/3 (simplified). As a percentage, this probability would be 33.33%

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when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de

marishachu [46]

Answer:

0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

22.5b ≤ 1751.65

b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

_____

The question asks for the <em>minimum</em>. We usually expect such a question to ask for the <em>maximum</em>.

7 0

3 years ago

Write the sentence as an equation, using x as the variable. Then find the solution of the equation from the set of integers bet

Inessa05 [86]

Answer:

The solution of given equation is x = -4

Step-by-step explanation:

We are given the following in the question:

Let x be the variable such that

$x \in (-12,12)$

Relation:

The quotient of a number and 4 is negative 1

We can write the equation as:

$\dfrac{x}{4} = -1$

Solution:

$\dfrac{x}{4} = -1\\\\\Rightarrow x = 4\times -1\\\Rightarrow x = -4$

Thus, the solution of given equation is x = -4

4 0

4 years ago

If AUVW~ ARST, what is the value of x?

Scrat [10]

Answer:120

Step-by-step explanation:

7 0

3 years ago

Jack and Jill both start at point A. They each walk in a straight line at an angle of 105° to each other. After 45 minutes Jack

ASHA 777 [7]

Answer: The distance between them is 8.38 km

Step-by-step explanation:

Let's suppose both of them start at the point (0km, 0km), and that Jack walks along the positive x-axis, then Jill walks at an angle of 105° measured from the positive x-axis.

After 45 minutes, jack has walked 4.5km, then if his initial position was (0 km, 0 km)

Then his new position will be (4.5km, 0km)

Jill has walked 6km, but we need to write this in rectangular components.

We can think in this as a triangle rectangle, then the components will be:

x-component = 6 km*cos(105°) = -1.55 km

y-component = 6km*sin(105°) = 5.80 km

Then the new position of Jill is ( -1.55km, 5.80km)

Now, we know that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Jill and Jack will be equal to the distance between ( -1.55km, 5.80km) and (4.5km, 0km)

This is:

Distance = √( (-1.55km - 4.5km)^2 + (5.80km - 0km)^2)

Distance = 8.38 km

This means that they are 8.38km apart.

4 0

3 years ago

Find a formula for value of V, an investment ($), initially worth $16000 that grows 12% every 7 years

katovenus [111]

The amount an investment of 16000 grows over 7 years is 16000*0.12 (i.e., 12% of 16000). So, the total amount after 7 years is 16000 + 16000*0.12, which is the same as writing 16000*1.12. Now, continue the same argument: the amount we now have 16000*1.12 grows after another 7 years to (16000*1.12)*1.12. Third 7-year period, again, (16000*1.12*1.12*)*1.12, and so on. As you can already see the number of periods shows up as the number of factors 1.12 multiplied here. A shorthand for writing that is to use the exponent, like this $16000\cdot 1.12^3$ .

Generalizing to n 7-year periods yields a formula:

$V = 16000\cdot 1.12^n$

5 0

3 years ago