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katrin2010 [14]
2 years ago
5

Michael has a bus rental agency. He has 18 buses available, of which 8 have air conditioning (A.C.). What is the probability tha

t a randomly selected vehicle will be an A.C bus? 50% 2/3 4/9 30%

Mathematics
2 answers:
Inessa05 [86]2 years ago
8 0

Answer:

4 / 9

Step-by-step explanation:

Solution:-

- Michael bus rental agency has a total of n = 18 buses.

- Out all the available buses he has r = 8 buses with AC in them.

- If we were to randomly select a bus from his agency what is the probability that the bus would have an AC:

           P ( Bus with AC ) = Favorable Outcomes / Total outcomes

                                        = Number of bus with AC / Total Buses

                                        = r / n

                                        = 8 / 18

                                        = 4 / 9

ankoles [38]2 years ago
3 0

Answer:

4/9

Step-by-step explanation:

Please refer to the attached image for explanations

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What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0
2 years ago
What is the product of a+3 and −2a2+15a+6b2?
rewona [7]

For this case we must find the product of the following expression:

(a + 3) (- 2a ^ 2 + 15a + 6b ^ 2)

We apply distributive property term to term:

(a + 3) (- 2a ^ 2 + 15a + 6b ^ 2) =\\-2a ^ 2 * a + 15a * a + 6b ^ 2 * a-6a ^ 2 + 45a + 18b ^ 2 =\\-2a ^ 3 + 15a ^ 2 + 6ab ^ 2-6a ^ 2 + 45a + 18b ^ 2=

We add similar terms:

-2a ^ 3 + (15-6) a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2 =\\-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2 =

Finally, the expression is as:

-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2

Answeer:

-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2

5 0
2 years ago
2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first
Misha Larkins [42]

Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

(c) For 150 minutes the charge is P30.00

Step-by-step explanation:

The given parameters are;

The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

(c) For a duration of 150 minutes, we have;

150 minutes =  2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

4 0
2 years ago
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maks197457 [2]

Answer:  c)[50,60]

Step-by-step explanation:

The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).

We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.

Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.

i.e. about 68% of the heights of students lies between \text{Mean}\pm\text{Standard deviation}

i.e. about 68% of the heights of students lies between 55\pm5

Here, 55\pm5=(55-5, 55+5)=(50,60)

i.e.  The required interval that contains the middle 68% of the heights. = [50,60]

Hence, the correct answer is c) (50,60)

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