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DaniilM [7]
3 years ago
11

Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90 Plzzzzzz

Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

Answer:

<em>Mean: 85 5/9</em>

<em>Median: 90</em>

<em>Mode: 95</em>

Step-by-step explanation:

<em>~ Part I ~</em>

1. To find the mean, let us take the average of the numbers through the addition of these values divided by the number of numbers:

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90/9 = 770/9 =<em> 85 5/9 (85.55.....)</em>

<em>~ Part 2 ~</em>

1. Now let us arrange these numbers from least to greatest:

75 , 95 , 90 , 95 , 60 , 95 , 75 , 95 , 90 ⇒ 60,75 , 75 , 90 , 90 , 95, 95, 95,95

3. The median of this set would now be the middle number, which, (in this case) is ⇒<em> </em><em>90</em>

<em>~ Part 3 ~</em>

1. The mode is known to be the number repeated most often, and from the previous question we see the numbers arranged in a benficial manner. Now we can straight away see that the number repeated the most is ⇒<em> 95</em>

ss7ja [257]3 years ago
8 0

Answer:mean=85 5/9 mode=95 median=90

Step-by-step explanation:

Mean=(75+95+90+95+60+95+75+95+90)➗9

mean=770 ➗ 9

Mean=85 5/9

Mode=95

To get median we first arrange in ascending order of magnitude

60,75,75,90,90,95,95,95,95

The middle number is the median which is 90

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Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

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factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

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