What is the distance between the points (10,6) and (1,4)? If necessary, round

Mathematics

2 answers:

ale4655 [162]1 year ago

6 0

Answer:

The correct answer is A

Step-by-step explanation:

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galben [10]1 year ago

6 0

(10,6)
(1,4)

Distance:-

$\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}$

$\\ \rm\Rrightarrow \sqrt{9^2+2^2}$

$\\ \rm\Rrightarrow \sqrt{81+4}$

$\\ \rm\Rrightarrow \sqrt{85}$

$\\ \rm\Rrightarrow 9.22units$

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Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If

DiKsa [7]

FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared

FIND # OF YARDS:
1 yard= 3 feet

Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270

FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240

ANSWER: Cindy will pay $3,240 to cover the lot with sod.

Hope this helps! :)

3 0

3 years ago

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are

IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$