Which questions? im confused
Answer:
A. 24 ≤ a < 26.
B. 22.5
Step-by-step explanation:
A. Determination of the modal class interval.
Mode is the class with the highest frequency.
From the table given above, the highest frequency is 8, therefore the class will the highest frequency is:
24 ≤ a < 26.
B. To obtain the mean, we must determine the class mark. This is illustrated below:
Class >>>>> class mark >>> frequency
18 – 19 >>>> 18.5 >>>>>>>>> 3
20 – 21 >>> 20.5 >>>>>>>> 2
22 – 23 >>> 22.5 >>>>>>>> 7
24 – 25 >>> 24.5 >>>>>>>> 8
26 >>>>>>>> 26 >>>>>>>>> 0
The mean is given by the summation of the product of the class mark and frequency divided by the total frequency. This is illustrated below:
Mean = [(18.5x3) + (20.5x2) + (22.5x7) + (24.5x8) + (26x0)] / (3+2+7+8+0)
Mean = (55.5 + 41 + 157.5 + 196 + 0)/20
Mean = 450/20
Mean = 22.5
Therefore, the mean age is 22.5
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
Answer
Algebra
Step-by-step explanation:
Intermediate is the same as algebra 2
Answer:
The amount of interest paid is $22,500
Step-by-step explanation:
Firstly, we need the number of $1 in $450,000
That would simply be $450,000/$1 = 450,000
5 cents is same as 5/100 = $0.05
so we have to multiply 450,000 by 0.05
we have this as;
450,000 * $0.05 = $22,500
