On the first swing, a pendulum swings through an arc of length 65 cm. On the successive swing, the length of the arc is 85% of t
1 answer:
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Begin by computing the <span>monthly interest rate like this:
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<span>Each month, we have to substract from $463 the monthly rate and the payment of 5%, which result in the following formula:
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So, after three months, it ill remains $381.5 in </span><span>Bridgette account. </span>
</span>
<span>Each month, we have to substract from $463 the monthly rate and the payment of 5%, which result in the following formula:
</span>
<span>
So, after three months, it ill remains $381.5 in </span><span>Bridgette account. </span>
Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule, the normal standard table or excel and we got:
c)
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the velocities of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule, the normal standard table or excel and we got:
Part c
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
The answer is below
Step-by-step explanation:
From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).
a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through
Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:
b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:
y = 14x - 108.5
56 = 14x - 108.5
56 + 108.5 = 14x
164.5=14x
x = 164.5/14
x = 11.75
When the tower is 56 meters tall, the top of the tower is 11.75 m off center