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lora16 [44]
3 years ago
13

A square mosaic is made of small glass squares. If there are 256 small squares in the mosaic how many are along an edge?

Mathematics
2 answers:
ale4655 [162]3 years ago
4 0
Answer: 16 small squares

why?
since this is a square mosaic, all four sides have equal numbers of glass squares
if you think about one glass square as one unit, the scenario can be considered through the equation 256=x^{2} -- where x is the number of glass squares per side ( remember, area of square = x^{2} )
so, to solve the equation, you find the square root of 256, which is 16!

~hope it makes sense~
Degger [83]3 years ago
3 0
To do this, you got to square 256.

The square root of 256 is 16.

Therefore, there are 16 small squares on each edge of the mosaic.

Kinda proof:

o  o  o  o  O
o  o  o  o  O
o  o  o  o  O
o  o  o  o  O
o  o  o  o  O

25 squares. Square root is 5. 5 along each edge. My work shares same concept.

Extremely unnecessary proof:

o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   O

There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.

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The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h
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Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

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x = 2.10 * 100 / 500
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The unit price for the hair shampoo is $0.42.
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