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3 years ago

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Written as fraction the decimal numbers 0.3 and 0.11 are 3/10 and 11/100 respectively.can see a pattern?use this knowledge to co

nvert 0.0625 into a fraction.then find its simplest form

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

1/16

Step-by-step explanation:

0.0625=625/10000=[25/100]^2=[1/4]^2=1/16

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Answer:

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

$x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}$

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3 years ago

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The way to write this would be:

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3 years ago

A clinical psychologist wants to test whether experiencing childhood trauma affects one's self-efficacy in adulthood. He randoml

Verdich [7]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 152.5

For the alternative hypothesis,

µ ≠ 152.5

This is a two tailed test.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 231

Degrees of freedom, df = n - 1 = 231 - 1 = 230

t = (x - µ)/(s/√n)

Where

x = sample mean = 148.9

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s = samples standard deviation = 27.4

t = (148.9 - 152.5)/(27.4/√231) = - 2

We would determine the p value using the t test calculator. It becomes

p = 0.047

Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals

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3 years ago

Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

alekssr [168]

Answer: The expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

$w=(x-4)~\textup{feet}.$

The length of the patio is increased by 4 feet, so the length of the new patio will be

$\ell=(x+4)~\textup{feet}.$

Now, if the original patio measures 20 feet by 20 feet, then we must have

$w=x-4=20-4=16~\textup{feet}$

and

$\ell=x+4=20+4=24~\textup{feet}.$

Therefore, the area of the new patio is given by

$A_n=\ell \times w=24\times16=384~\textup{sq. feet}.$

Thus, the expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

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4 years ago