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2 years ago

6

If the arithmetic mean of the numbers 7, 14, 6, p, 8 and 14 is 10, find p.

1 answer:

Jet001 [13]2 years ago

4 0

Answer:

Step-by-step explanation:

Solution,

Here

Mean=10

N=6

Efx=7+14+6+p+8+14

=49+p

Now

Mean=Efx/N

or,10=49+p/6 ( Therefore,10 is multiplied to 6)

or,60=49+p

or,p=60-49

p=11

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Find the value of x so the figures have the same area

polet [3.4K]

Answer:

B) 4.5

Step-by-step explanation:

The area of the first figure is 10x

The area of the second figure is 6(x+3)=6x+18

To solve, find the x that makes 10x=6x+18

1) 10x=6x+18

2) 4x=18

3) x=4.5

To check work)

1) 10(4.5)=6(4.5)+18

2) 45=27+18

3) 45=45

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2 years ago

If a line was drawn perpendicular to one whose equation is 4x+2y=11, then its slope would be which of

alexandr402 [8]

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2 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

What is the product of 119 thousandths times 10?

Gnesinka [82]

The answer is A becaues 119 thousand times 10 equals 1190000
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3 0

3 years ago

Read 2 more answers

How are problems like these solved

Flura [38]

the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees

so,

(21x-2) + (38x +5) = 180

21x+38x −2+5=180

59x+3=180

59x=177

x=3

4 0

2 years ago