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Math answers to 28 questions

Answer: 2. negative square root 21 over 5 Cos Θ = -2/5 = -0.4 Tan Θ > -1 Sin Θ = ? Sin²Θ + Cos²Θ = 1 Sin²Θ = 1 – Cos²Θ Sin²Θ = 1 – (–0.4)² Sin²Θ = 1…
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One slug would equal 14.59 kilogram and 1ft would equal 0.3048m. 15N would be equal to 15 kilogram meter per second square. 1 slug = 14.59kg 1ft=0.3048m 15 N = 15 kg m / s^2 = 15 * (1/14.59) slug…
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A hexagonal pyramid is a geometric shape that has just one base (a hexagonal base), and its sides are made entirely of six isosceles triangles. The isosceles triangles are arranged along the edges of the hexagonal base, and they stretch…
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Answer: D. P(z≤-a)+P(-a≤z≤a)+P(Z≥a) Explanation: or a standard normal distribution, the expression must always equal 1. This is because P(z≤-a)+P(-a≤z≤a)+P(Z≥a) represents all the possible values in the total area of any given curve. In agreement with the formula for expressing standard…
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Answer: E =172.932 μm Step-by-step solution: When E is located at point (-40, -20) According to Pythagoras' theory, the displacement of E from its point of origin = √(40² + 20²) = 44.721 μm. Total distance travelled = AB +…
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No. Not all integers are whole numbers, but all whole numbers are integers. Integers, typically, are all positive numbers, zero digits, and negative numbers. Whole numbers only comprise positive and zero digits. All natural numbers (counting numbers that are known:…
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Answer: Take Θ=30 Cos 150° If Cos (180° - Θ)= -Cos Θ, Then Cos (180 - 30)= -Cos Θ. Cos 150 = -Cos 30 (√3 /2),= 0.8660 Sin 150° If Sin (180° - Θ)= Sin Θ, Then Sin (180 -…
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It takes one thousand thousand to make up a million. In the arrangement of numbers according to the place value system from right to left according to the numbering system of the Indians, it is thus: Units, Tens, Hundreds, Thousands,…
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No, 0 is not a rational number because it cannot be expressed as a simple fraction with a non-zero denominator. Rational numbers are numbers that can be expressed in the form of simple fractions, where the denominator is a non-zero…
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The difference between normal and binomial distribution is that normal distribution in statistics refers to a data set in which the probability of the outcomes of the events are closer to the average value. Examples include blood samples, IQ scores,…
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The exclamation mark in math is used in permutation to indicate factorials. When the exclamation mark is used in front of a positive integer, it means that one should find the product of the integers from the positive integer to…
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We can solve this using the trig unit circle. sin x = 1/2 = sin (π/6) → x = π/6
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To find the answer, we have to divide the area of a circle for bull's eye by the area of the circle for dart board. The area of a circle formula is: A = π * r2 Dart board radius…
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Here are the calculations: 16. 91% of 84% = 0.91 X 0.84 = 0.7644, (which equals 76.44%) 84 - 76.44 = 0.0756 This means that the probability of an incorrect conclusion equals 7.6% (nearest tenth)
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5’ 10’ in inches is 70 inches! Normally, doctors and scientists do not measure height in inches and feet. Height is measured by these professionals in centimetres. If you know your height in feet and inches but need to provide…
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All months have 28 days (and more) but only February is 28 days long in normal years and 29 days long in leap years. However, all twelve months in a year have up to 28 days. Others apart from February…
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One dollar is equal to 100 pennies. Therefore, 1 million pennies converts to 10,000 dollars. However, why would you want to save pennies instead of dollars for ease of calculation? According to the San Diego Union-Tribune, the Pride of Lions…
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1000 ml makes a litre. ml, also written as mL stands for millilitres. It is one of the commonest standards of measurement in the metric system, along with the litre. One millilitre is only one-thousandth of a litre or a…
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There are 4 quarts in a gallon of milk. Note that this measurement is the US standard. If you are using the UK and Imperial gallon, the number of quarts differs slightly. For the UK and Imperial gallon, the equivalent…
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The cup is a volume measurement unit used in cooking. Therefore, it is mainly used in serving sizes and for cooking purposes. Traditionally in the US, it is something between 200 and 250ml and that can be said to be…
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Shapes draw their names from their design, patterns and/or orientation. The number of sides in a 2D shape define the name of that shape. Most of these names are originally borrowed from other languages such as Latin and Greek into…
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A year has 12 months and therefore, getting the number of years in from a given number of months means dividing the number of months by 12. In that case, (72 months)/12 months = 6 years
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Fluid ounces (oz) as used in the imperial measurement system in the United States is used to tell the volume of substances. Volume parameters in the metric system are measured using liters. 1 oz is equivalent to 0.02957352965 liter. Therefore,…
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To solve this, we should know - An equilateral triangle has three equal sides: So, Sum of three sides is 51. 51/3 = 17
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It's easy put the right order 21, 22, 24, 25, 27, 30, 33, 34 choose the median numbers 25 and 27 then find average (25+27)/2 = 26 the median is 26
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It is the centroid of a triangle.
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t[sx)] can be evaluated by replacing x with s(x) in the equation for t(x). t[s(x)] = 2[s(x)]2 + 2 = 2(-x-1)2 + 2 {Replacing s(x) with -x -1} So t[s(3)] = 2(-3-1)2 + 2  {Substitute 3 for x} = 2(-4)2 + 2 = 34…
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Area = 1/2 * height * ( top + bottom) You have four dimensions listed. Based on the list of possible answers Area  = 1/2 * 14.3 * ( 20 + 10) = 214.5 is the only one that works.
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