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TiliK225 [7]
3 years ago
13

Write standard form a.) 0.0000918 b.) 12.002×10-³​

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

A. 9.18 x 10^{5}

B.12002

Step-by-step explanation:

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Write the integer represented by H. List its opposite and absolute value.
musickatia [10]

Answer:

The integer represented by H is -2

Its opposite is 2 and the absolute value is also 2

4 0
3 years ago
Find the exact value of sec(-4π/3
melisa1 [442]
<span>Find the exact value of sec(-4π/3).  Note that one full rotation, clockwise, would be -2pi.  We have to determine the Quadrant in which this angle -4pi/3 lies.  Think of this as 4(-pi/3), or 4(-60 degrees).  Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees.  This is in Q III.  The ray representing -240 has adj side = -1 and opp side = to sqrt(3).

Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.

Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3)    (answer).  This could also be written as (2/3)sqrt(3).


</span>
3 0
3 years ago
Listed below are the numbers of heroic firefighters who lost their lives in the United States each year while fighting forest fi
Marysya12 [62]

Answer:

Step-by-step explanation:

Hello!

Data

Year/Firefighters

2000: 20

2001: 18

2002: 23

2003: 30

2004: 20

2005: 12

2006: 24

2007: 9

2008: 25

2009: 15

2010: 8

2011: 11

2012: 15

2013: 34

<u>Common measures of variation</u>

<u>Variance</u>

S²= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]

∑X= 20 + 18 + 23 + 30 + 20 + 12 + 24 + 9 + 25 + 15 + 8 + 11 + 15 + 34

∑X= 264

∑X²= 20² + 18² + 23² + 30² + 20² + 12² + 24² + 9² + 25² + 15² + 8² + 11² + 15² + 34²

∑X²= 5770

n= 14

S²= \frac{1}{13}[5770-\frac{(264)^2}{14} ]

S²= 60.90

<u>Standard deviation</u>

The standard deviation is the square root of the variance

S= √S²= √60.90= 7.80

<u>Coefficient of variation</u>

Is a relative standard deviation, it is defined as the division of the standard deviation (S) by the mean (X[bar)]. It has not units and is usually expressed in percentage. It shows the variability in relation to the mean.

C.V.= \frac{S}{X[bar]}*100 = \frac{7.80}{18.86}*100= 41.36%

The mean or average is a measurement of position and gives you an idea of the central value of the distribution of the data.

X[bar]= ∑X/n= 264/14= 18.86

<u>Range</u>

In the interval between the max and min values. It allows you to have an idea of the dispersion of the values.

R= Xmax - Xmin= 34 - 8= 26

Xmax= 34

Xmin= 8

<u>Inter Quartile Range</u>

Is the difference between Quantile 1 (C₁) and Quantile 3 (C₃). It shows the 50% mid values of the sample.

IQR= C₃ - C₁= 23.5 - 11.5 = 12

Quantile 1 (C₁) is the value that leaves 25% of the sample below and 75% of the sample above.

Pos1: n/4= 14/4= 3.5

The first quantile is the number between position 3 and position 4

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₁= (11+12)/2= 11.5

Quantile 3 (C₃) is the value that leaves 75% of the sample below and 25% of the sample above.

Pos3: n*3/4= 14*3/4= 10.5

The third Quantile is between position 10 and 11

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₃= (23+24)/2= 23.5

The measurements of variation don't allow you to know the origin of the data, that it is from consecutive years.

I hope it helps!

6 0
3 years ago
Please help using law of cosines!
Tamiku [17]

Answer:

∠ A ≈ 48°

Step-by-step explanation:

Using the Cosine rule to find an angle

cosA = \frac{b^2+c^2-a^2}{2bc}

with a = 10, b = 13 and c = 11

cosA = \frac{13^2+11^2-10^2}{2(13)(11)}

         = \frac{169+121-100}{286}

         = \frac{190}{286} , thus

A = cos^{-1} ( \frac{190}{286} ) ≈ 48° ( to the nearest degree )

6 0
3 years ago
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kenny6666 [7]

Answer:64

Step-by-step explanation:

8 0
3 years ago
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