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Kobotan [32]
3 years ago
9

An access code consists of of a letter followed by four digits. Any letter can be used, the first digit cannot be 0, and the las

t digit must be even. (a) Find the number of possible access codes. (b) What is the probability of randomly electing the correct access code on the first try? (c) what is the probability of not selecting the right access code on the first try?
Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer:

(a)117000  (b)1/117000 (c)116999/117000

Step-by-step explanation:

(a)There are 26 letters, hence <u>26</u> options for the first character

There are <u>9</u> options for the second character, because, you can place 1,2,3,4,5,6,7,8,or 9.

For the third character you can have <u>10</u> options, since, you can 1 through 9 and 0.

The 4th one has <u>10</u> options too since the same terminology is used for the 3rd digit as the 4th one.

For the last digit, You have <u>5</u> options,0,  2, 4, 6, and 8.

Hence, the answer is 26*9*10*10*5 = <u>117000</u>

(b)There is only 1 correct code, so the chance of getting it right is <u>1/117000</u>.

(c)There are 117000-1 ways oh getting it wrong, so <u>116999/117000.</u>

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An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, r
Studentka2010 [4]

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

r=\dfrac{59.75}{800}\\\\r=0.0746

8 0
3 years ago
Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation
prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

                                       Sidney’s Grades           Phil’s Grades

Mean                                     82                                    78

Mean Absolute Deviation      3.28                                 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

                 Mean of Phil's   Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

4 0
3 years ago
A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?
Alenkasestr [34]
Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
20 - 24i - (-6 + 2i) = 26 - 26i. so this is not on the circle.
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1 year ago
Find the product.<br> (a2)(2a3)(a2 – 8a + 9)
eimsori [14]
Answer: -72a^3 +108a^2
Collect like terms
(2a)(6a)(2a-8a+9)= (2a)(6a)(-6a+9)=12a^2(-6a+9)
= -72a^3 +108a^2
3 0
3 years ago
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3 0
2 years ago
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