Answer:
90%
Step-by-step explanation:
Let R = 100
Since, Z = 30% of R
Therefore, Z = 30% *100 = 30
Since, W = 3Z
Therefore, W = 3*30 = 90
Percentage of W of R
Answer:
Option (C)
Step-by-step explanation:
Value of y is more than the product of x and 2.
Equation representing the given condition will be,
y = 2x + 1
Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,
x 0 1 2 3 4
y 1 3 5 7 9
Therefore, table given in the Option (C) will be the correct option.
<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Answer:
Kyle is correct, because it is not possible to draw a trapezoid that is a rectangle.
Step-by-step explanation:
Trapezoid:
- It is a quadrilateral with only one pair of of parallel sides
- Also in Trapezoid all the four angles are not right angle
- In Trapezoid is it not necessary that the diagonals bisect at all the cases
- The opposite angles are supplementary
Rectangle:
- Opposite sides of a rectangle are parallel and equal, thus having two pairs of parallel lines
- In a Rectangles all the four angles are 90 degrees i.e, right angle
- Diagonals of rectangles must bisect each other
- The sum of any two angles is supplementary
Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
