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ra1l [238]
3 years ago
13

A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

\frac{7}{9} OR 77.78%

Step-by-step explanation:

So, we first need to find out how many numbers fit the "less than 29 or odd" group.

This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.

Next, we figure out the total amount of numbers in the population.

This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.

Finally, we put the first number (7) over the total (9) = \frac{7}{9}

\frac{7}{9} is now able to be written in a percentage, if you need.

The probability is \frac{7}{9} OR 77.78%

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Consider the following graph.
OLga [1]

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

<h3>How to find the function which was used to make graph?</h3>

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

Learn more about finding the graphed function here:

brainly.com/question/27330212

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3 0
2 years ago
Pls Help! It would be very much appreciated, Thx!
Fofino [41]

Answer:

A. 30 two-point questions and 10 four-point questions

Step-by-step explanation:

30 multiplied by 2 equals 60

10 multiplied by 4 equals 40

60 plus 40 equals 100 points which is the amount of points the test is worth as stated i the question.

30 plus 10 equals 40, which is the total amount of questions in the test as stated in the question.

5 0
3 years ago
A company rents water tanks shaped like cylinders. Each tank has a radius of 3 feet and a height of 2 feet. The cost is $4 per c
vivado [14]

Answer:

Cost to rent one tank=226.08 Dollars

Step-by-step explanation:

Radius of the cylindrical tank=3 feet

Height of the tank= 2 feet

Cost to rent one tank= Volume of one tank * cost to rent one cubic feet of volume

Volume of the cylindrical tank:

                                         =\pi r^2

As,  \pi =\frac{22}{7}=3.14

Putting the values in the formula:

Volume of the tank:

                                    =3.14*(3*3)*2\\\\=3.14*9*2\\\\=3.14*18\\\\=56.52feet^3

Cost to rent one cubic feet= 4 Dollars

Cost to rent 56.52 Cubic feet of one tank;

   = 4*56.52

=226.08 Dollars

5 0
3 years ago
I desperately need this question answered. See attached image thanks so much
Dahasolnce [82]

For this case we must follow the steps below:

step 1:

We place each of the given points on a coordinate axis

Step 2:

We join the AC points (represented by the orange line)

We join the BD points (represented by the blue line)

It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.

In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: m1 * m2 = -1

In this case, the slope of the orange line is m1 = 1 and that of the blue line is m2 = -1

Then m1 * m2 = 1 * -1 = -1, it is verified that they are perpendicular.

Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.

Answer:

See attached image

Option D

6 0
3 years ago
On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in or
S_A_V [24]

Answer:

A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.

B. The company will be affected if the check

was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.

Step-by-step explanation:

A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.

B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.

Therefore I can issue a check today and as well record the expense the same day in which the check was issued.

4 0
3 years ago
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