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2 years ago

. Evaluate each of the following without using a calculator. Show all steps clearly. - 5^2

Mathematics

1 answer:

Verizon [17]2 years ago

7 0

Answer:

Step-by-step explanation:

-5^2 expanded is -5 x -5

- two negatives equal a positive

-visual representation of 5 x 5

O O O O O

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The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.92

Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

$Mean=\frac{\sum x}{n}$

Sum of all terms = 41.98

Mean of the data set is

$Mean=\frac{41.98}{50}$

$Mean=0.8396$

Formula for standard deviation for population:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

Formula for standard deviation for sample:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}$

$\sigma=\sqrt{\frac{0.231792}{50-1}}$

$\sigma=\sqrt{0.004730449}$

$\sigma=0.06877826$

$\sigma\approx 0.069$

Therefore, the standard deviation of the data set is 0.069.

5 0

3 years ago

W/4 = -8 i dont know how to get it

Vikentia [17]

Answer:

So I believe the question is asking what number divided by 4 is equal to -8.

This is the same as saying 4 times -8 equals what

x=4 times -8

x= -32

The answer is -32.

7 0

2 years ago

The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this fun

Sever21 [200]

Answer:

The answer is A

Step-by-step explanation:

1 to the second power is 1 + 1 = 2

2 to the second power is 4 + 1 = 5

3 to the second power is 9 + 1 = 10

4 to the second power is 16 + 1 = 17

5 to the second power is 25 + 1 = 26

7 0

3 years ago

Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2.

weqwewe [10]

Answer:

a) 6
b) 3.125 or 25/8

Step-by-step explanation:

1.5x² + 6x + * =
1.5(x² + 4x + *) =
1.5(x² + 2*2x + 4) =
1.5(x + 2)²
* = 1.5*2² = 6

2x² - 5x + * =
2(x² - 2.5x + *) =
2(x² - 2*1.25x + 1.25²)=
2(x - 1.25)²
* = 2*(1.25)² = 3.125 or 25/8

6 0

3 years ago

Read 2 more answers

It's worth 4 marks and 2 OCW

LUCKY_DIMON [66]

Since these angles clearly form a circle and a circle is 360 degrees,
120-x+2x+16+3x-72=64+4x=360. Subtracting 64 from both sides, we get
4x=296 and by dividing both sides by 4 we get x=74

5 0

3 years ago

. Evaluate each of the following without using a calculator. Show all steps clearly. - 5^2​

. Evaluate each of the following without using a calculator. Show all steps clearly. - 5^2