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omeli [17]
3 years ago
8

A square has side length 3 units. What is the length of the diagonal?

Mathematics
1 answer:
ella [17]3 years ago
4 0

9514 1404 393

Answer:

  C. 3√2 units

Step-by-step explanation:

The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.

__

If you like, you can see this using the Pythagorean theorem.

  d² = s² + s² . . . . . where d is the diagonal, and s is the side

  d² = 2s²

  d = √(2s²) = s√2

For s=3, ...

  d = 3√2

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6 0
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Chapter 8 Written Homework 1. A hypothesis test is conducted to test the claim that the proportion of people with dark hair at M
UNO [17]

Answer:

we reject  H₀

Step-by-step explanation:  Se annex

The test is one tail-test (greater than)

Using   α = 0,05   (critical value )  from z- table we get

z(c) = 1,64

And Test hypothesis is:

H₀         Null hypothesis           μ   =  μ₀

Hₐ       Alternate hypothesis   μ   >  μ₀

Which we need to compare with z(s) = 2,19  (from problem statement)

The annex shows z(c), z(s), rejection and acceptance regions, and as we can see z(s) > z(c) and it is in the rejection region

So base on our drawing we will reject  H₀

3 0
3 years ago
A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used 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}

In which 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)!}

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0
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Convert 5820 grams to kilograms.
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3 years ago
LMNP is a rectangle. Find the value of x and the length of each diagonal.
Marta_Voda [28]

Answer:

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Step-by-step explanation:

8 0
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