Answer:
The complete tables are shown below.
The value of <em>x</em> is 70.59%.
Step-by-step explanation:
<u>Absolute frequency table:</u>
Square Rectangle Row Total
Bright 25 10 35
Off White <u>23</u> 10 <u>33</u>
Column Total <u>48</u> 20 <u>68</u>
<u>Relative frequency table</u>
Square Rectangle Row total
Row% 71.43% 28.57% 100.00%
Bright Column% 52.08% 50.00% ____
Total% 36.76% 14.71% 51.47%
Row% 69.70% 30.30% 100.00%
Off White Column% 47.92% 50.00% ___
Total% 33.83% 14.71% 48.53%
Row% ____ ____ 100.00%
Column Column% 100.00% 100.00% 100.00%
Total% <u><em>x</em></u><u> = 70.59%</u> 29.41% 100.00%
Answer:
4
Step-by-step explanation:
36 divided by 9 is 4
Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°
Answer: 4 oz
<u>Step-by-step explanation:</u>
Create a table. Multiply across and add down (the middle column cannot be added). The Mixture line creates the equation that must be solved.
Let x represent the unknown quantity of walnuts.
Answer:
Given: y = x2 + 4x – 5
Find the following
y-intercept
x-intercepts or the zeros of the functions or roots
graph of the function, given vertex is at (-2, -9)
Solve the system of linear equations – x + 6y = 8 2x + 5y = 3
Write the names of curves, given their equations:
x2/16 + y2/9 = 1
3y = 2x + 5
(x - 5)2 + (y + 6)2 = 25
x2/16 – y2/25 = 1
y = 2x2 + 10x + 25
Write down the first five terms of the arithmetic progression with the first term 8 and common difference 7, then find the 17th
Write down the first five terms of the geometric progression with the first term 3 and common ratio 2, then find the 17th