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Studentka2010 [4]
3 years ago
6

What is the common difference in the following arithmetic sequence?

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0
It would probably be D
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Emile paid $3.96 for 4 songs.
torisob [31]

Answer:

$0.99

Unit rate is cost for 1 individual (song)

Step-by-step explanation:

$3.96/4

0.99

99 cents

6 0
3 years ago
Calculate the variance and the standard deviation of the data below 23. 19, 22, 30, 28
Alina [70]

To get the variance, start with finding the mean of your data points:

(23 + 19 + 22 + 30 + 28) / 5 = 24.4

Now take each data point and subtract the mean from it, then square that value:

23 - 24.4 = -1.4 * -1.4 = 1.96

19 - 24.4 = -5.4 * -5.4 = 29.16

22 - 24.4 = -2.4 * -2.4 = 5.76

30 - 24.4 = 5.6 * 5.6 = 31.36

28 - 24.4 = 3.6 * 3.6 = 12.96

Now get the average of those new numbers. That is your variance:

(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24

The standard deviation will be the square root of the variance:

√(16.24) = 4.0299 (rounded to 4DP)

7 0
3 years ago
Greg has 4 different colored cards in a box, yellow, red, blue, and green. He randomly selects one card, record the color, then
BigorU [14]

Answer:

75

Step-by-step explanation:

300/4

7 0
4 years ago
(ᗒᗣᗕ)՞<br> Help.....<br> Plz
zhenek [66]

Answer:

a line graph!

Step-by-step explanation:

have you ever seen the line graph emoji?

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3 0
3 years ago
The length of the long leg of a right triangle is 16 inches more than four times of the shorter leg. The length of the hypotenus
Galina-37 [17]

Answer:

The side lengths of the triangle, in order, are 11 inches, 60 inches, 61 inches.

Step-by-step explanation:

Let the shorter leg be x, the longer leg, y and the hypotenus, z.

y = 16 + 4x

z = 17 + 4x

By Pythagoras rule,

z^2 = x^2 + y^2

(17+4x)^2 = x^2 + (16+4x)^2

that is,

x^2 - 8x - 33 = 0  (A quadratic equation)

By factorising,

(x+3)(x-11)=0

either x = -3 or x = 11.

But length cannot be negative. Hence, -3 is dicarded.

x = 11 inches

y = 16 + 4x = 60 inches

z = 17 + 4x = 61 inches

8 0
3 years ago
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