Can i please have some help

A small grocery store had 10 cartons of milk, 2 of which were sour. If you are going to buy the 6th carton of milk sold that day

andre [41]

Answer:

The probability that the sixth customer buys sour milk is $\frac{1}{5}$ .

Step-by-step explanation:

The grocery store has a total of 10 cartons of milk.

The number of cartons of milk that are sour is, 2.

If none of the sour cartons of milk were bought by the first 5 buyers, then the probability of this event is:

P (Both the sour cartons are available to be sold to the sixth customer)

= $P(2\ sour\ cartons)=\frac{2}{5}$

If only one sour carton of milk is sold to the first 5 buyers then the probability is:

P (Only one sour cartons is available to be sold to the sixth customer)

= $P(1\ sour\ cartons)=\frac{1}{5}$

If both the sour carton of milk is sold to the first 5 buyers then the probability is:

P (None of the sour cartons is available to be sold to the sixth customer)

= $P(0\ sour\ cartons)=\frac{0}{5}$

Compute the probability that the sixth customer buys sour milk:

= P (Both sour milk is available for the 6th customer) +

P (Only one sour milk is available for the 6th customer) +

P (None of the sour milk is available for the 6th customer)

$=\frac{{8\choose 5}{2\choose 0}}{{10\choose 5}} \times\frac{2}{5} +\frac{{8\choose 4}{2\choose 1}}{{10\choose 5}} \times\frac{1}{5} +\frac{{8\choose 3}{2\choose 2}}{{10\choose 5}} \times\frac{0}{5} \\=\frac{56\times2}{252\times5} +\frac{140\times1}{252\times5} +0\\=\frac{1}{5}$

Thus, the probability that the sixth customer buys sour milk is $\frac{1}{5}$ .

6 0

3 years ago

Hhhhe÷lllppp mmmeeee ppplllzzz

zloy xaker [14]

Indians 7
mariners 3
because we need two numbers the sum of them is 10 and the big one minus the small one = 4

6 0

3 years ago

Read 2 more answers

An open box is to be made from a rectangular piece of tin by cutting 3-inch squares out of the corners and folding up the sides.

slava [35]

Answer:

Width of the Rectangular Tin=8 inch

Length of the Rectangular Tin= 16 inch

Step-by-step explanation:

Let the Width of the Rectangle=W

The length of the piece of tin is twice the width, Length = 2W

Since Squares of 3 inch are cut from all four corners of the rectangle

Length of the box = 2W-(3+3)=(2W-6) inches

Breadth of the Box = W-(3+3)=(W-6) inches

Height = 3 inches

Volume of the box = 60 cubic inches

Now, Volume of a cuboid=lbh

3(2W-6)(W-6)=60

Divide both sides by 3

(2W-6)(W-6)=20

Expanding the brackets

$(2W-6)(W-6)=20\\2W^2-12W-6W+36=20\\2W^2-18W+36-20=0\\2W^2-18W+16=0$

Factorizing

$2W^2-16W-2W+16=0\\2W(W-8)-2(W-8)=0\\(W-8)(2W-2)=0\\W-8=0 , 2W-2=0\\W=8, 1$

Since the Width cannot be less than 6,

Width of the Rectangular Tin=8 inch

Length= 2 X 8 = 16 inch

5 0

3 years ago

Which of the following is true? Tangent is positive in Quadrant I. Sine is negative in Quadrant II. Cosine is positive in Quadra

DiKsa [7]

A) Tangent is positive in Quadrant I.

Since sine and cosine are both positive in Quadrant I and tangent is the ratio of sine to cosine, tangent is positive in Quadrant I

7 0

3 years ago

A test was given to a group of students. The grades and gender are summarized below

faust18 [17]

Answer:

<h3>★ 11/30 is the right answer. ★</h3>

Step-by-step explanation:

Number of male students who got 'A' in the test is 11
Number of female students who got 'A' in the test is 19
Total students who got 'A' in the test is 30
Probability that the male student got an 'A' is P(A | male) = (Number of male students who got 'A' in the test)/(Number of total students who got 'A' in the test) = 11/30

4 0

3 years ago

Can i please have some help​

Can i please have some help