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Oksanka [162]
3 years ago
15

Complete the data set with one value so that the mean of the data is 13.

Mathematics
2 answers:
leva [86]3 years ago
6 0
The answer would likely be 14
Grace [21]3 years ago
3 0

Answer:

14

Step-by-step explanation:

(10 + 14 + 8 + 16 + 12 + x ) /6 = 13

(60 + x) / 6 = 13

60 + x = 13 * 6

60 + x = 78

x = 78 - 60

x = 18

(10+14+16+12+18)/5

= 70/5 = 14

Hope this helps, good luck!

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The answer is B. Y= 3/4x-1
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3 years ago
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Can I get the answer for the questions at the bottom
aniked [119]
27)

Equation of the existing water pipe's line

a) slope, m = rise / run = Δy / Δx = 3/2

b) y-intercept, b = 3

equation: y = mx + b = (3/2)x + 3

Equation of the new water pipe's line

slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3

point (0,2)

=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe

28)

two parallel lines have the same slope =>

slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3

point (4,5) => y - 5 = (4/3) (x - 4)

=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3

y = (4/3)x - 1/3  <--- equation of the new bike path
6 0
3 years ago
According to the recipe, 2 1/2 cups of chocolate chips are needed to make a large batch of cookies. Manuel decided to make only
Marat540 [252]

Answer:

6

Step-by-step explanation:

No exact amount of cookies so if its a large batch we'll say there is 45 cookies 45 divided by 1/3 is 15

So 15 divided by 2 1/2 = 6

So your answer is 6.

5 0
3 years ago
Choose a justification for each step in the derivation of the sine difference identity.
Natali [406]

Answer:

Step 1:  

✔ Cofunction identity

Step 5:  

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Step 6:  

✔ Cofunction Identity

Step 7:  

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help me out ?
vova2212 [387]
An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:

Let a and b be two sides of a triangle and c is the longest side:
a^{2}  +  b^{2}  \ \textless \   c^{2}

So taking your given:

10^{2}  +  15 ^{2} < c^{2}
100 + 225   < c^{2}
325  <  c^{2}

To get the smallest possible number, just get the square root of both sides:

\sqrt{325} < \sqrt{c^{2} }
  18.03  < c

So your smallest possible whole number is 19
5 0
3 years ago
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