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3 years ago

You roll two dice. What is the probability that the average of the high and low roll is exactly 3, to four decimal places?

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

Answer:

0.1111

Step-by-step explanation:

Given that you roll two dice.

the average of the high and low roll is exactly 3,

Since die can show only 1 to 6 we can say average can be 3 in each of the following case.

(1,5) (2,4) (3,3) (4,2) (5,1)

There cannot be any other combination to get average of 3.

Thus favourable events = 4

Sample space will have

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

(2,1)....

(6,1)...(6,6) i.e. 36

So probability that the average of the high and low roll is exactly 3

= $\frac{4}{36} \\=0.1111$

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If we inspect photocopy paper by randomly drawing 5 sheets without replacement from every pack of 500, what is the probability o

earnstyle [38]

Answer:

98.01% probability of getting 5 clean sheets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

0.4% of the sheets contain spots

Of 500, that is 0.004*500 = 2.

What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?

Desired outcomes

2 are defective, so 5 sheets from a set of 500 - 2 = 498.

$D = C_{498,5} = \frac{498!}{5!493!} = 250160254344$

Total outcomes

5 sheets from a set of 500.

$T = C_{500,5} = \frac{500!}{5!495!} = 255244687600$

Probability:

$P = \frac{D}{T} = \frac{250160254344}{255244687600} = 0.9801$

98.01% probability of getting 5 clean sheets

7 0

4 years ago

An item has a listed price for $80 if sales tax rate is 3% how much is sales tax in dollars

Greeley [361]

Answer: The sales tax would be $2.40

Step-by-step explanation:

Another way of writing any percent would be diving that percent by 100, so 3% would be 0.03 4% would be 0.04 and so forth.

All you have to do is multiply 80 by the decimal of the percent

80 * 0.03 =2.4 or $2.40

6 0

3 years ago

Find the coordinates of the midpoint of a segment with the given endpoints. A(-12,2), C(-3,5)

DIA [1.3K]

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

<h3>What is the mid-point of the line segment?</h3>

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

More about the mid-point of the line segment link is given below.

brainly.com/question/17188072

#SPJ4

4 0

1 year ago

Suppose you are offered a job that lasts one month, and you are to be very well paid. Which of the following methods of payment

mihalych1998 [28]

Question is Incomplete, Complete question is given below.

Suppose you are offered a job that lasts one month. Which of the following methods of payment is more profitable for you?

I. One million dollars at the end of the month.

II. One cent on the first day of the month, two cents on the second day, four cents on the third day, and, in general, cents on the nth day.

Answer:

Option II is more profitable.

Step-by-step explanation:

Solution:

By Option I:

Amount we will get every month = $1,000,000

Now By Option II.

Given:

Amount we will get every month = $2^{n-1}$

Now we will consider the month which has least number of days in a month which is February which has 28 days.

So we can say that.

Amount we will get every month = $2^{27-1}=2^{26}= 1, 34,217,728\ cents = \$1,342,177.28$

$1,342,177.28 > $1,000,000

Hence Option II is more profitable.

7 0

3 years ago

A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?

SVETLANKA909090 [29]

Answer:

Y=-4x+8

Step-by-step explanation:

y2-y1/x2-x1

This wil give you slope.

5 0

3 years ago