What is y=-x+3 y=-7x-3 A.) (-4,-4) B.) (-4,4) C.) (4,-2) D.) (-1, 4)

Determine the exact value of sin 240

iren2701 [21]

simplify : the exact value of sin 240

Explanation: sin(240)=sin(60+180)=-sin60

$\begin{gathered} -sin60=-\frac{\sqrt{3}}{2} \\ =-0.87 \end{gathered}$

Final answer: the required vaalue of the sin 240 is -0.87

7 0

1 year ago

Daily high temperatures in the city of Houston for the last week have been: 90, 93, 90 92, 90, 88, 98 (yesterday).

vesna_86 [32]

Answer:

The answer or forecast for temperature using a three-day moving average =
The answer or forecast for temperature using a three-day moving average =
The mean absolute deviation based on a two-day moving average, covering all days =

Step-by-step explanation:

1. Three-point averages are calculated by taking a number in the series with the previous and next numbers and averaging the three of them.

Step I - Calculate the three series of succession of numbers form the data and find the average of each of them:

A) (90 + 93 +90)/3 = 91.00

B) (93 + 92 + 90)/3 = 91.67

C) (90 + 92 +90)/3 = 90.67

D) (92 + 90 + 88)/3 = 90.00

E) (90 + 88 + 98)/3 = 92.00

So our series approximated to the nearest whole number is:

91, 92, 91, 90, 92

STEP II

From the series above the highest temperature today is unpredictable because the series is irregular. It went from 91 to 92, then it dropped to 90 and came back to 92.

2. Using a two day moving average we have

STEP I .

Calculate the moving averages

A) (90+93)/2 = 91.50

B) (93 + 90)/2 = 91.50

C) (90 + 92)/2 = 91.00

D) (92 +90)/2 = 91.00

E) (90 + 88)/2 = 89.00

F) (88 + 98)/2 = 93.00

STEP II

The temperature also cannot be predicted because of the irregular series.

3. Calculating the Mean Absolute Deviation based on a two-day moving average

The formula for MAD = (∑| $x_{i} - \frac{}{x}$ |)/ $n$

STEP I

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Mean of the data set =

(91.50 + 91.50 + 91.00 + 91.00 + 89.00 +93.00)/6

Mean = 91.17

STEP II

Get the distance between the data point and the mean:

91.50-91.17=0.33
91.50-91.17= 0.33
91.00-91.17= -0.17
91.00-91.17= -0.17
89.00-91.17= -2.17
90.00-91.17= -1.17

STEP II

Add all the distances together

0.33 + 0.33 - 0.17 - 0.17 - 2.17 - 1.17 = -3.02

STEP III

Divide the the sum by data points

-3.02/6

= -0.50

So on average the temperatures were -0.50 from the mean.

Cheers!

3 0

3 years ago

Read 2 more answers

a swimmer swam 48 kilometers in d days. What is the value of the d if the swimmer swam an average of 3.2 kilometers daily?

lianna [129]

Time= distance/speed

=48/3.2= 15

6 0

3 years ago

Graph the ellipse with equation x squared divided by nine plus y squared divided by sixteen = 1

gladu [14]

X²/9 + y²/16 = 1

The general for mula of an ellipse is:

(x-h)²/a² + (y-k)²/b² = 1. Since h = k = 0, this ellipse
x²/9 + y²/16 = 1
passes by the center O. (Note that a = 3 and b = 4)

Moreover sin b>a so the majore axis is (on the y-axis) and a the minor axis (on the x-axis) [Its shape is as a vertical egg].

On a system of perpendicular axis that intercept in O., take on the x-axis 2 points A & B with respective coordinate A(3.0) and B(-3,0)
On the y-axis your report A'(0,+4) and B'(0,-4). So you have the vertex of the ellipse, then it's easy to draw it

6 0

4 years ago

Read 2 more answers

Please answer this correctly without making mistakes

IrinaVladis [17]

Answer:

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