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GenaCL600 [577]
2 years ago
14

0.362 and 49.564 in expanded form using decimals.

Mathematics
1 answer:
PolarNik [594]2 years ago
6 0

Answer:

0.362 = (0 x 1) + (3/10) + (6/100) + (2/1000)

49.564 = (4 x 10) + (9 x 1) + (5/10) + (6/100) + (4/1000)

Step-by-step explanation:

If you look at the first one 0.362 the 3 is in the tenths position + 6 in the hundredths position + 2 in the thousandths position.

You work the second number the same way:

4 is in the tens position + 9 in the ones position + 5 in the tenths position + 6 in the one hundredths positions + 4 in the thousandths position.

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Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________
Tresset [83]

Using the normal distribution, it is found that the correct option is:

  • D. 1; 100

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.

In this problem:

  • The mean on the Wechsler Scale is of 100, hence \mu = 100.
  • The standard deviation is of 17, hence \sigma = 17.
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Then:

Z = \frac{X - \mu}{\sigma}

Z = \frac{117 - 100}{17}

Z = 1

Hence, the option d is correct.

To learn more about the normal distribution, you can check brainly.com/question/24663213

7 0
2 years ago
PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

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= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

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2 years ago
Ax - b = c <br><br> Solve for x
7nadin3 [17]

ax - b = c

add b to each side

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ax = c+b

divide by a

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3 years ago
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Answer:

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