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2 years ago

Determine whether the following events are mutually exclusive.

Mathematics

1 answer:

anygoal [31]2 years ago

6 0

Answer:

Yes they are mutually exclusive

Step-by-step explanation:

Yes, both of the events are mutually exclusive because each student has only one major and therefore can't select both Maths and finance majors at the same time.

Thus, they are mutually exclusive of each other.

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A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con

Mashutka [201]

The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5V
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
$\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V$
To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
$16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h$
We would now divide both sides by 3 2/10:
$\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}$
This is the same as:
$\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}$
So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.

8 0

2 years ago

Determine whether the following possible responses should be classified as nominal, ordinal, interval or ratio scale. Would your

anygoal [31]

Answer:

Nominal, Ordinal, interval or Ratio scale, Nominal.

Step-by-step explanation:

In Statistics, we can assort qualitative variables as nominal, for non-numerical values (Good, Yes, Man, Woman, Excellent, Tall, etc.). For numerical ones, we can rank them orderly, id est, ordinal (1st, 2nd, 3rd, 4th, etc.). Moreover, we can also categorize some numerical variables as an interval or ratio scale (90º F, 6' 2'' etc.).

Examining each one:

1. Would your overall rating of this tour be excellent, good, fair, or poor? Nominal.

These are not numerical. These are qualitative classification.

2. How many escorted vacations have you taken prior to this one?

Ordinal. The 1st, 2nd, 3rd, etc.

3. What is the current temperature outside? Interval or Ratio Scale

This is a classic Interval classification example. Since the temperature is graded in intervals then this an Interval.

4. Do you feel that the stay in New York was sufficiently long? Nominal.

Another non-numerical classification

3 0

3 years ago

The measure of an angle is 28 degrees less than its supplement. find each angle

DIA [1.3K]

Supplementary angles measure 180°. Make an equation:

Subtract 28 to leave the variable in the parentheses alone:

Add the 2 x's together:

Your new equation is:

Divide both sides by 2 to leave the variable alone

The supplement measures 76°

4 0

2 years ago

Last week norachi ran 40 miles less than trevon. Norachi ran 9 miles. How many miles did trevon run?

stira [4]

Answer:

trevon ran 49 miles

Step-by-step explanation:

9+40=49

7 0

3 years ago

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Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spend

sineoko [7]

Answer:

18.45 > 3 + h

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers