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3 years ago

a fair (6 sided) die is rolled TWO times. What is the probability that the first die is a 2 or the second die is a prime

Mathematics

1 answer:

alexdok [17]3 years ago

4 0

Answer:

The probability that the first die is a 2 or the second die is a prime = 1/12

Step-by-step explanation:

It is given that,a fair (6 sided) die is rolled TWO times.

The sample space for rolling 2 dies

(1, 1), (1, 2) .......... (1,6)

(2,1) ..........................

(6, 1) ..........................(6, 6)

There are total of 6^2 = 36 sample space

<u>To find the probability</u>

The prime numbers from 1 to 6 are 2, 3 and 5

the possible outcomes are(2,1), (2, 3) and (2, 5)

The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12

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3 years ago

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Answer:

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Step-by-step explanation:

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(50 POINTS) The figure is transformed as shown in the diagram. Describe the transformation. A) dilation, then reflection B) refl

Helga [31]

Answer:

Hi there I was just working on this question on UsaTestPrep and idk if the answer is really correct but here: C: reflection then rotation.

Step-by-step explanation:

Extra Info:

Dilation is when the shape changes in size, which doesn't happen.

Translation is when it just moves across. It may look like that is happening here, but I'll explain.

The triangle is first reflected along the line . Imaging putting a mirror on the x=0 line (the y axis, basically), and you'd see 1 to 2.

Then, it is rotated around the point . Get a bit of tracing paper, draw over 2, and then, holding the tracing paper down at (works well with a pencil), rotate it round and you will find it fits perfectly over 3.

Also is this the diagram?

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3 years ago

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.How much rainfall on the seventh d

spayn [35]

Answer:

There was 32.5mm of rainfall on the seventh day.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.

This means that during the week(7 days), the total amount of rain was of:

$6*1 + x = 6 + x$

How much rainfall on the seventh day ?

This is x. We have that:

$\frac{6 + x}{7} = 5.5$

$6 + x = 7*5.5$

$6 + x = 38.5$

$x = 38.5 - 6 = 32.5$

There was 32.5mm of rainfall on the seventh day.

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3 years ago

The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he f

yanalaym [24]

Answer:

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Step-by-step explanation:

Here, we want to calculate the size of the gas tank of the truck

we simply divide the total amount spent by the price per gallon

Mathematically, that will be;

53.28/3.33 = 16 gallons

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3 years ago