Answer:
Step-by-step explanation:
OPQ is a right angle triangle.
<u>Using Pythagoras</u>
<u>Using quadratic formula</u>
<u />
OR
(Length can't be negative)
∴
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal
</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal
</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are orthogonal
<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal
<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are orthogonal
the answer is
B. (10,-2) and D. (-5,1) are orthogonal to (1,5)
Answer:
47.4167
D. The computed mean is close to the actual mean because the difference between the means is less than 5%
Step-by-step explanation:
Given the distribution :
Speed(m/hr) ___ midpoint(x) ___ F ___fx
42 - 45 _______ 43.5 ________21 __ 913.5
46 - 49 _______47.5 _________15 __712.5
50 - 53 _______ 51.5 _________6 __ 309
54 - 57 _______ 55.5 ________ 4 ___ 222
58 - 61 ________59.5 ________ 2 ___ 119
The midpoint, x= sum of lower and upper boundary divided by 2
For instance, (42 + 45) / 2 = 43.5
The computed mean, Σfx / Σf = 2276 / 48 = 47.4167
Actual mean = 47.3 miles
(47.4167 - 47.3) / 47.3 * 100% = 0.24%
Patterns find next 2 numbers 1.) 7,4,1,-2,__,__ <br>
2.) 1,4,9,16,__,__ <br>
3.) 0,1,8,27,__,__
kati45 [8]
Answer:
1. 7, 4, 1, -2, -5, -8
2. 1, 4, 9, 16, 25, 36
3. i'm not sure about this one.
Answer:
3+3+5+16+28+22=77
100-77=23% for insurance and taxes
23/100 x 360= 82.8 degrees
If clothing is 3%, do that % over 100 x $40,000 to get how much spent.
3/100 x 40000= $1200 on clothes
