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3 years ago

The following data points represent the weight (in kilograms) of each of Newman's dogs. 3, 2, 26, 9 Find the mean weight.

Mathematics

2 answers:

mr_godi [17]3 years ago

4 0

Answer:

Step-by-step explanation:

The mean is another word for average. Add up all the numbers and divide by the number of terms

( 3+2+26+9) /4

40 /4

The mean is 10

Flauer [41]3 years ago

3 0

Answer:

10 kilograms

Step-by-step explanation:

The mean of any data set is all the numbers added up divided by the amount of points.

$3+2+26+9=40\\40\div4 = 10$

Hope this helped!

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Match each binomial with its factors. Tiles 16x2 − 1 (2x + 1)(2x − 1) 16x2 − 4 (2x + 3)(2x − 3) 16x2 + 1 4(2x + 1)(2x − 1) 4x2 −

Ghella [55]

You can do this in two ways. The easiest way using the special case formulas since these are perfect squares. Another would be multiplying the pairs and seeing what matches the other.
Here are the formulas for special cases:

$a^{2} + 2ab + b^{2} = (a+b)^{2}$
$a^{2} - 2ab + b^{2} = (a-b)^{2}$
$a^{2} - b^{2} = (a+b)(a-b)$

1. (2x+1)(2x-1) This follows the third formula where a=2x and b = 1
$(2x+1)(2x-1) = 4x^{2}-1^{2} = 4x^{2}-1$

2. (2x + 3)(2x − 3) This also follows the third formula where a=2x and b = 3
 $(2x+3)(2x-3) = 4x^{2}-3^{2} = 4x^{2}-9$

3. 4(2x + 1)(2x − 1) This follows the third formula but the result should be multiplied by 4. We can do this by combining the pairs first before multiplying it by 4. The associative property of multiplication allows this.
 $4(2x+1)(2x-1) = 4(4x^{2}-1^{2}) = 4(4x^{2}-1)$

From here we can use the distributive property:
$4(4x^{2}-1) = 16x^{2}-4$

4. (4x − 1)(4x + 1) This also uses the third formula where a= 4x and b= 1
$(4x-1)(4x+1) = 16x^{2}-1^{2} = 16x^{2}-1$

So let's match up the pairs with their results:
$16x^{2}-1=(4x-1)(4x+1)$
$16x^{2}-4 = 4(2x + 1)(2x − 1)$
$4x^{2}-1 = (2x+1)(2x-1)$
$4x^{2}-9 = (2x+3)(2x-3)$

6 0

2 years ago

1/3(z+4)-6=2/3(5-z) solve for z and check solution

Marat540 [252]

Answer:

z = 8

Step-by-step explanation:

Solve for z:

(z + 4)/3 - 6 = (2 (5 - z))/3

Put each term in (z + 4)/3 - 6 over the common denominator 3: (z + 4)/3 - 6 = (z + 4)/3 - 18/3:

(z + 4)/3 - 18/3 = (2 (5 - z))/3

(z + 4)/3 - 18/3 = ((z + 4) - 18)/3:

(z - 18 + 4)/3 = (2 (5 - z))/3

Add like terms. 4 - 18 = -14:

(z - 14)/3 = (2 (5 - z))/3

Multiply both sides by 3:

(3 (z - 14))/3 = (3×2 (5 - z))/3

(3 (z - 14))/3 = 3/3×(z - 14) = z - 14:

z - 14 = (3×2 (5 - z))/3

(3×2 (5 - z))/3 = 3/3×2 (5 - z) = 2 (5 - z):

z - 14 = 2 (5 - z)

Expand out terms of the right hand side:

z - 14 = 10 - 2 z

Add 2 z to both sides:

2 z + z - 14 = (2 z - 2 z) + 10

2 z - 2 z = 0:

2 z + z - 14 = 10

z + 2 z = 3 z:

3 z - 14 = 10

Add 14 to both sides:

3 z + (14 - 14) = 14 + 10

14 - 14 = 0:

3 z = 10 + 14

10 + 14 = 24:

3 z = 24

Divide both sides of 3 z = 24 by 3:

(3 z)/3 = 24/3

3/3 = 1:

z = 24/3

The gcd of 24 and 3 is 3, so 24/3 = (3×8)/(3×1) = 3/3×8 = 8:

Answer: z = 8

7 0

2 years ago

Read 2 more answers

> Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean

densk [106]

Answer:

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Step-by-step explanation:

Given that

Mean = μ = 15 points

SD = σ = 3 points

For calculating probability for a data point, first of all we have to calculate the z-score of the value.

We have to find the probability of score greater than 24, then the z-score of 24 is:

z-score = (x-μ)/σ

z = (24-15)/3

z = 9/3

z = 3

Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3

So,

$P(z3) = 1 - P(z$

Converting into percentage

0.0013 * 100 = 0.13%

Hence,

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

8 0

2 years ago

I cant figure it out, and if I get this wrong I fail the test

Oliga [24]

Step-by-step explanation:

x = 1.21212121.....

100x = 121.21212121...

Therefore 99x = 120 and x = 120/99 = 40/33.

3 0

2 years ago

Read 2 more answers

What is the surface area of this figure

baherus [9]

Answer:

789_278913_97/1_397/_317074

Step-by-step explanation:

gvyhfeuoyefbhbhioevfbebo no ohef. ve h hoierv wfv hirev ihoev si o w our w h. while vhio f hio

8 0

2 years ago