Answer:
The laptop will not fit in the case.
Step-by-step explanation:
We need to find the width of the laptop to know if it fits in the case. We have:
<u>For the laptop</u>:
h: is the height of the laptop = 10 inch
d: is the widescreen of the laptop (diagonal) = 17 inch
w: is the width of the laptop =?
<u>For the laptop case</u>:
H: is the height of the laptop case = 10.5 inch
W: is the width of the laptop case = 13 inch
So, the width of the laptop can be found by using Pitagoras:
Hence, the laptop is 13.7 inches wide.
Therefore, since the laptop is wider than the case, the laptop will not fit in the case.
I hope it helps you!
The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
Learn more about z score here;
brainly.com/question/4167122
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The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.
<h3>Compound interest</h3>
- Principal, P = $2,000 × 12 × 4
= $96,000
- Time, t = 10 years
- Interest rate, r = 24% = 0.24
- Number of periods, n = 2
A = P(1 + r/n)^nt
= $96,000( 1 + 0.24/2)^(2×10)
= 96,000 (1 + 0.12)^20
= 96,000(1.12)^20
= 96,000(9.65)
= $926,400
Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400
Learn more about compound interest:
brainly.com/question/24924853
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11%=11/100
11/100=22/x
we have to solve for x now
11x=2200 divide by 11 both side
x=200
that the answer
