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2 years ago

What is the difference between a two-dimensional sketch and an isometric sketch?

Mathematics

1 answer:

Nitella [24]2 years ago

7 0

I believe it is that a two-dimensional sketch doesn't include depth however the isometric sketch does

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Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.

Sunny_sXe [5.5K]

If the first expression reads x(cube) • x(cube) • x(cube) and x(cube • cube • cube), then the answer is no. They are not equal.

x(cube) • x(cube) • x(cube) will be equivalent to x(to the 9th power) while x(cube • cube • cube) will be equivalent to x( to the 27th power).

3 0

2 years ago

Find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4. 8 5 (b) find the number b s

IceJOKER [234]

a. We're looking for $a$ such that

$\displaystyle\int_1^a\frac{\mathrm dx}{x^2}=\int_a^4\frac{\mathrm dx}{x^2}$

$-\dfrac1x\bigg|_{x=1}^{x=a}=-\dfrac1x\bigg|_{x=a}^{x=4}$

$1-\dfrac1a=\dfrac1a-\dfrac14$

$\dfrac54=\dfrac2a\implies\boxed{a=\dfrac85}$

b. Integrating with respect to $y$ will make things easier.

$y=\dfrac1{x^2}\implies x=\dfrac1{\sqrt y}$

(where we take the positive square root because we know $x>0$ )

Now we want to find $b$ such that

$\displaystyle\int_0^b\frac{\mathrm dy}{\sqrt y}=\int_b^1\frac{\mathrm dy}{\sqrt y}$

$2\sqrt y\bigg|_{y=0}^{y=b}=2\sqrt y\bigg|_{y=b}^{b=1}$

$2\sqrt b=2-2\sqrt b$

$4\sqrt b=2\implies\boxed{b=\dfrac14}$

3 0

2 years ago

Write a number sentence that will calculate a reasonable estimate for the quotient of 3325÷5

Doss [256]

Answer:

3325/5=665

Step-by-step explanation:

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2 years ago

Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers.

In-s [12.5K]

Answer:

The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=15,\sigma=4)$