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2 years ago

Which interval notation represents the set of all numbers less than or equal to -6 or greater than or equal to -2

Mathematics

1 answer:

Alik [6]2 years ago

5 0

Answer: 1≤x<12

Step-by-step explanation:

The values that are greater than or equal 1 but less than 12 are values ranging from 1 to 11 i.e {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}. Note that 1 is included because the number is greater than or equal to 1 (1 included) and less than 12(12 not included).

x≥1 and x< 12

if x≥1, it means 1≤x

combining both inequality

1≤x and x<12

1≤x<12

The interval notation that represent the set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} will be given as S = {x: 1≤x<12}

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PIT_PIT [208]

Answer:

The sample size needed is 40000.

Step-by-step explanation:

The sample size needed is:

$n = \frac{1}{M^{2}}$

Use this formula to determine the sample size needed for a margin of error of 0.005

This is n when $M = 0.005$ . So

$n = \frac{1}{M^{2}}$

$n = \frac{1}{0.005^{2}}$

$n = 40000$

The sample size needed is 40000.

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3 years ago

A normal population has a mean of 12.2 and a standard deviation of 2.5. compute the z value associated with 14.3. what proportio

Citrus2011 [14]

The z-score associated with 14.3 is 0.84. 0.2995 of the population is between 12.2 and 14.3. 0.1894 of the population is less than 10.0.

The formula for a z-score is

z=(X-μ)/σ

With our data, we have:
z=(14.3-12.2)/2.5=0.84

The z-score associated with the mean is 0.5. To find the proportion of the population between the mean and 14.3, subtract 0.7995 (the proportion of population below the z-score of 0.84, using http://www.z-table.com) and 0.5:

0.7995 - 0.5 = 0.2995.

The z-score for 10.0 is

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3 years ago

What are the x-intercepts of y=2x^2+6x-20?

NISA [10]

Answer:

the x-intercepts are -5 and 2

Step-by-step explanation:

$y=2x^2+6x-20$

x-intercept is when y is set equal to zero

So, y = 0

$0 = 2x^2+6x-20$

$2x^3+6x-20 = 0\\Taking \ 2 \ common\\2(x^2+3x-10) = 0\\Dividing \ both \ sides \ by \ 2\\x^2+3x-10 = 0\\Using \ mid\ term \ break \ formula\\x^2+5x-2x-10 = 0\\x(x+5)-2(x+5)=0\\Taking \ (x+5) \ common\\(x+5)(x-2) = 0$

Either,

x+5 = 0 OR x-2 = 0

x = -5 OR x = 2

So, the x-intercepts are -5 and 2

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3 years ago

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Find the slope of the line passing through the points (5,7) and (-4,2).

Andre45 [30]

Your answer is A!

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3 years ago

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Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = $\frac{1}{2}$ * base * height = $\frac{1}{2}$ * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

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3 years ago