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dybincka [34]
3 years ago
15

Which one is a rule for the nth term of an arithmetic sequence with a8 = 56 and d = 5?

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0
An for arithmetic sequence, an = a + (n - 1)d
a8 = a + (8 - 1) x 5 = a + 7 x 5 = a + 35 = 56
a = 56 - 35 = 21

Therefore, an = 21 + (n - 1) x 5 = 21 + 5n - 5 = 16 + 5n
an = 16 + 5n
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Suppose 15% of x equals 20% of y. What percentage of x is y ?
WINSTONCH [101]

Answer:

x = 133\frac{1}{3} of y

Step-by-step explanation:

Given:

15% of x equals 20% of y

So,

0.15x = 0.20y

so

x = 0.20 y / 0.15

x = 1.3333y

x = 133\frac{1}{3} of y

7 0
2 years ago
Read 2 more answers
In the distribution, the first quartile,median and mean are 30.8,48.5 and 42.0 respectively. If the co efficient skewness is -0.
finlep [7]

Answer:

The third quartile is 56.45

Step-by-step explanation:

The given parameters are;

The first quartile, Q₁ = 30.8

The median or second quartile, Q₂ = 48.5

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Coefficient of skewness = -0.38

The Bowley's coefficient of skewness (SK) is given as follows;

SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}

Plugging in the values, we have;

-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}

Which gives;

-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5

11.704 - 0.38·Q₃ = Q₃ - 66.2

1.38·Q₃ = 11.704 + 66.2 =  77.904

Q₃ = 56.45

The third quartile = 56.45.

5 0
3 years ago
Math question please help!!!
mars1129 [50]

Answer:

Option B. 75

Step-by-step explanation:

we know that

<u>A negative correlation</u> or inverse correlation is a relationship between two variables such that as the value of one variable increases, the other decreases

we know that

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so

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we have that

L1*K1=L2*k2

substitute the values

150*7=L2*14

L2=150*7/14

L2=75

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