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3 years ago

The answer is NOT.. C. please help .

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer:

Option B

Step-by-step explanation:

First term of the given arithmetic sequence 'a' = -3

Common difference in each successive term 'd' = -8 - (-3)

d = -5

Explicit formula for an arithmetic sequence will be,

$A_n=a+(n-1)d$

Here, n = number of term

$A_n$ = nth term of the sequence

$A_n=(-3)+(n-1)(-5)$

For n = 23,

$A_{23}$ = -3 + (23 - 1)(-5)

= -3 - 110

= -113

Option B is the answer.

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What is the scale for 3 cm on the map correspond to 120 km in the actual distance?

nikdorinn [45]

Actual Distance =120 Km

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i.e, 3 Cm = 120 Km

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→ 1 cm = 40 Km

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5 0

3 years ago

Read 2 more answers

The accompanying data contains the depth (in kilometers) and magnitude, measured using the Richter Scale, of all earthquakes

Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ = 34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth ${}$ Magnitude

0.76 ${}$ 0.84

4.93 ${}$ 0.47

8.16 ${}$ 0.35

33.58 ${}$ 1.32

21.2 ${}$ 1.61

35.03 ${}$ 4.57

10.05 ${}$ 5.52

47.91 ${}$ 1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}$

Where;

$x_i$ = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025 \right )^{2} }{8}} \approx 15.92 \ km$

Q₁ = The first quartile = The (n + 1)/4th = term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th = term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0

4 years ago

Find the matrices of

aniked [119]

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$\\ \sf\longmapsto x-2y=-3\dots(1)$

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$\\ \sf\longmapsto 2y-z=3\dots(3)$

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$\\ \sf\longmapsto 4y-3=5$

$\\ \sf\longmapsto 4y=5+3$

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$\\ \bf\longmapsto y=2$

Put the value in eq(1)

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$\\ \sf\longmapsto x=-3+2y$

$\\ \sf\longmapsto x=-3+2(2)$

$\\ \sf\longmapsto x=-3+4$

$\\ \bf\longmapsto x=1$

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$\\ \sf\longmapsto z=2y-3$

$\\ \sf\longmapsto z=2(2)-3$

$\\ \sf\longmapsto z=4-3$

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3 years ago

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miss Akunina [59]

Answer:

d. $x=a(1-\frac{y}{b})$

Step-by-step explanation:

$\frac{x}{a} + \frac{y}{b} = 1$

$\frac{x}{a} = 1 - \frac{y}{b}$

$x = a(1 - \frac{y}{b})$ <----- This is your answer

Hope this helps!

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