Answer: 288cm²
Explanation:
In the given trapezoid, there are 2 right angled triangles and 1 rectangles.
So,
area of trapezoid
=area of 2 right angled triangles +1 rectangle
=2×[16×3]/2 + 15×16
=48+240
=288 cm²
Note:
Area of right angled triangle
=(base× height)/2
&,
Area of rectangle
= length ×breadth
Answer:
To write as a scientific notation in this problem, just make something 0.0 x 10n
In this case, this is 8.9. Then, think about how many 10s have to be multiplied to make 8900.
It's three!
Move the decimal point left to 3 places to make 5.78. Then, n is the number of decimal places you moved:3
Same goes to the case 0.034. You need to make something 0.0 x 10n
Hence, move the decimal point right to 2 places to make 3.4. How many decimal places did you move?Two!
But because you went right to make it from 0.034 to 3.4, n becomes -2(the number got 100 times smaller).
Just don't forget to add that negative sign after you have solved a problem involving a number smaller than 1.
Step-by-step explanation:
Hope this helps you.
:)
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
- 95% confidence interval = (0.5352, 0.4462)
- 95% confidence interval = (0.3424, 0.2894)
- 53% increased risk of divorce for smokers.
<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>
Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
brainly.com/question/17097944
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 2x - y - 7 = 0
y = 2x - 7; Hence m1 = 2
m2 = -1/2
Required equation y - y1 = m2(x - x1)
y - (-1) = -1/2(x - 4)
y + 1 = -1/2x + 2
y = -1/2x + 2 - 1
y = -1/2x + 1
104,000 would have to round to 100,000 or 110,000. If it's 100,000-104,999, then it would round up. If it's 105,000-109,999, it would round up. Since it's 104,000, it would round down. It would round to 100,000. Hope this helps! :)
