A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.

Mathematics

1 answer:

tatuchka [14]3 years ago

5 0

1/12. There are 12 possibilities, and only one number under 2.

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A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need

NemiM [27]

Answer:

$Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

Step-by-step explanation:

As given

$A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.$

i.e

$\frac{5}{6}\ cup\ of\ sugar = 1\ recipe$

As the mrs.Marina is going to make one half of the recipe .

$Thus\ multiply\ above\ by\ \frac{1}{2}.$

We get

$\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

solving the above

$\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

$Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

7 0

3 years ago

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 93 m

aliina [53]

The insurance period must be chosen so that the probability of a microchip failure within that period is 4%. Reference to a standard normal distribution table shows that the z-score for a cumulative probability of 4% is -1.75.
Let the insurance period be X months:
-1.75 = (X - 93)/3.8
-6.65 = X - 93
X = 83.35 months.
The answer is 83.35 months.

4 0

3 years ago

Lines a and b are parallel. The slope of line b is * What is the slope of line a?

andrew11 [14]

Answer:

The slope of line a is * also.

Step-by-step explanation:

Parallel lines have the same slope. Whatever number, fraction, variable, symbol is given for the slope of one line, the other must have the same number, fraction, variable, symbol, if they are parallel.

5 0

2 years ago

What is the trigonometric ratio for sin Z ?

Schach [20]

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

$\sin(Z) = \dfrac{XY}{XZ}$