Which data set has a greater spread? Why?A: {38, 12, 23, 48, 55, 16, 18}

B: {44, 13, 24, 12, 56}

Answers

Answer 1

Answer:

Data set B has a greater spread because it has a greater range.

What is the range of data?

The range of the data set is defined as the difference between the maximum number of data to the minimum number of data. If the range is higher the dataset will have a greater spread.

Given dataset is:-

A: {38, 12, 23, 48, 55, 16, 18}

B: {44, 13, 24, 12, 56}

Range = Higher value - Lower value

The range for dataset A will be calculated as:-

Range of A: 55 - 12 = 43

The range for the dataset B will be calculated as:-

Range of B: 56 - 12 = 44

Therefore, dataset set B has a greater spread because it has a greater range.

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Answer 2

Answer: Which ever one has the greater range is the greater spread.

Range = Big - small

Range of A: 55 - 12 = 43

Range of B: 56 - 12 = 44

Data set B has a greater spread because it has a greater range.

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A dartboard consists of two concentric circles. The probability of hitting the inner circle is64%. If the outer circle has a diameter of 20 inches, what is the radius of the inner circle?

2 inches
4 inches
8 inches
16 inch

Answers

Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.

Factoring: All Techniques CombinedFactor Each

4) $x^(6) + 2 x^(4) - 16 x^(2) - 32$

Answers

$x^(6) + 2 x^(4) - 16 x^(2) - 32 =x^4(x^2+2)-16(x^2+2)=(x^2+2)(x^4-16)=\n \n=(x^2+2)(x^4-4^2)=(x^2+2)(x^2-4)(x^2+4) =\n \n=(x^2+2)(x^2+4)(x+2)(x-2) \n \n \na^2-b^2 =(a-b)(a+b)$

What is 25% of 860 i remember percentages just need touch up how to do them

Answers

The thing you need to remember is that 25% means 0.25 .
That's the whole problem. The rest is easy.

0.25 x 860 = 215

To find 25% of something you have to divide it by 4. So 860 divided by 4 = 215
Hope this helped! :)
Remember:
100% = 1 = 1
75% = 3/4 = 0.75
50% = 1/2 = 0.5
25% = 1/4 = 0.25
10% = 1/10 or 10/100 = 0.1
1% = 1/100 = 0.01

Which two numbers add up to -24 and multiple to -24

Answers

x + y = -24
xy = -24

$xy = -24$
$(xy)/(x) = (-24)/(x)$
$y = (-24)/(x)$

$x + y = -24$
$x + (-24)/(x) = -24$
$(x^(2))/(x) + (-24)/(x) = -24$
$(x^(2) - 24)/(x) = -24$
$-24x = x^(2) - 24$
$0 = x^(2) + 24x - 24$
$x = \frac{-(24) \± \sqrt{(24)^(2) - 4(1)(-24)}}{2(1)}$
$x = (-24 \± √(576 + 96))/(2)$
$x = (-24 \± √(672))/(2)$
$x = (-24 \± 4√(42))/(2)$
$x = -12 \± 2√(42)$
$x = -12 \± 2(6.5)$
$x = -12 \± 13$
$x = -12 + 13$ $or$ $x = -12 - 13$
$x = 1$ $or$ $x = -25$

  x + y = -24    or      x + y = -24
  1 + y = -24 or -25 + y = -24
- 1   - 1 + 25 + 25
y = -25     or    y = 1
  (x, y) = (1, -25) or (x, y) = (-25, 1)

The two numbers that add up to 24 are the numbers 1 and -25.

x + y = -24
xy = -24

$xy = -24$
$(xy)/(x) = (-24)/(x)$
$y = (-24)/(x)$

$x + y = -24$
$x + (-24)/(x) = -24$
$(x^(2))/(x) + (-24)/(x) = -24$
$(x^(2) - 24)/(x) = -24$
$-24x = x^(2) - 24$
$0 = x^(2) + 24x - 24$
$x = \frac{-(24) \± \sqrt{(24)^(2) - 4(1)(-24)}}{2(1)}$
$x = (-24 \± √(576 + 96))/(2)$
$x = (-24 \± √(672))/(2)$
$x = (-24 \± 4√(42))/(2)$
$x = -12 \± 2√(42)$
$x = -12 \± 2(6)$
$x = -12 \± 12$
$x = -12 + 12$ $or$ $x = -12 - 12$
$x = 0$ $or$ $x = -24$

  x + y = -24    or      x + y = -24
  0 + y = -24 or -24 + y = -24
- 0 - 0 + 24 + 24
y = 24    or    y = 0

The two numbers that multiply to -24 are the numbers 24 and 0.

Write in vertex form:

y = x2 - 8x + 19