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3 years ago

1.Write 6,730,000 in scientific notation.

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:

6.73 X 10 to the sixth power.

1.33 X 10 to the fifth power.

9.77 X 10 to the twenty-second power.

Step-by-step explanation:

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Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

3 years ago

If sin(x) =-1/2 and tan(x) is negative what is cos(2x)

Keith_Richards [23]

Answer:

positive

Step-by-step explanation:

Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.

ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.

A: all

S: sin

T: tan

C: cos

It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.

3 0

3 years ago

A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite s

almond37 [142]

Answer:

1/(5*12) = 1/60 = .016 = 1.6%

Step-by-step explanation:

7 0

3 years ago

For the first year of a new job, you make P70,000. You get an annual raise each year of 3%. Find out total amount of money you w

lutik1710 [3]

Answer:

P371,639.507

Step-by-step explanation:

First year: 70,000

Second year: 72,100

Third year: 74,263

Fourth year: 76,490.89

Fifth year: 78,785.6167

If you plus them all the total is 371,639.507

4 0

2 years ago

(01.02 MC)Which number line shows the solution to −3 − (−1)? A number line is shown from negative 5 to 0 to positive 5. There ar

MatroZZZ [7]

Answer:

the answer is c

Step-by-step explanation:these people need to get a life

7 0

3 years ago