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Alexus [3.1K]
2 years ago
15

Suppose you have a litter of mice which consists of 8 males and 4 females. If you randomly grab two of them, what is the probabi

lity that they are both male? You may think of this questions as without replacement. Keep your answer in decimal form and round to THREE decimal places.
Mathematics
1 answer:
tiny-mole [99]2 years ago
5 0

Answer:

The probability that they are both male is 0.424 (3 d.p.)

Step-by-step explanation:

The first step is to find the probability of the first selection being male. This is calculated as number of male mice divided by total number of mice in the litter

Prob (1st male) = 8 ÷ 12 = 0.667

Next is to find the probability of the second selection also being male. Note that the question states that the first mice was selected without replacement. This means the first mouse taken results in a reduction in both the number of male mice and total number of mice in the litter.

Prob (2nd male) = (8 - 1) ÷ (12 - 1) = 7/11 = 0.636

Therefore,

Prob (1st male & 2nd male) = 0.667 × 0.636 = 0.424

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A frequency distribution lists the _________ of occurrences of each category of​ data, while a relative frequency distribution l
Tanzania [10]

Answer:

A frequency distribution lists the<u> number</u> of occurrences of each category of​ data, while a relative frequency distribution lists the <u>proportion</u> of occurrences of each category of data.

Explanation:

A "frequency distribution" is one of the ways in organizing a data, either by <em>listing the information, putting them in a table or showing them in a graph.</em> The items in the list (distinct values) are then counted when it comes to the number of times they've occurred.

Thus, this explains the first answer, "number."

On the other hand, a "relative frequency distribution" refers to the proportion of the overall number of observations in a particular category.  <u>You can get this by dividing each frequency with the total number of data in a sample.</u>

Thus, this explains the second answer, "proportion."

8 0
2 years ago
water will be both added to and drained from a bathtub at the same time for 5 minutes. the total amount of water added to the ba
Leto [7]
There would be 12 litres in the tub after 4 minutes
6 0
2 years ago
Cary's barbecue sauce recipe calls for 2 2/3 cups of water for every 8 pints of tomato sauce. How many cups of water does cary u
harina [27]
In order to make this easier, let us convert the fraction into a mixed number. 2 2/3 would become 8/3. Now, let us divide 8 pints by 8/3 cups and we get 24/8 or 3 cups. Therefore, the amount of water that Cary has to use when she makes barbecue sauce with 1 pint of tomato is 3 cups. 
7 0
2 years ago
Read 2 more answers
The marching band walks 1/15 miles in 1.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your a
ipn [44]

Answer:

It will take 22.5 minutes to complete 1 mile

Step-by-step explanation:

From the question,

The marching band walks 1/15 miles in 1.5 minutes

First we will determine the miles cover in 1 minute

If the marching band walks 1/15 miles in 1.5 minutes

then, they will cover x miles in 1 minute

x = \frac{1/15 * 1}{1.5}\\

Then,

x = \frac{1/15 }{1.5}

x = 2/45 miles

∴ 2/45 miles are covered in 1 minute

Now,

If 2/45 miles are covered in 1 minute

Then, 1 mile will be covered in y minute

y = \frac{1 * 1}{2/45}

y =\frac{1}{2/45} \\y = \frac{45}{2}\\

∴ y = 22.5 minutes

Hence, it will take 22.5 minutes to complete 1 mile

6 0
2 years ago
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field
GrogVix [38]

Answer:

9/20, or 0.45 mile.

Step-by-step explanation:\\

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

\frac{9}{10} × \frac{1\\}{2} is just 9/20, which is 0.45.

7 0
2 years ago
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