Ask question

Ask question

All categories

3 years ago

7

A pendulum travels 30 inches on it’s first swing. During each of its subsequent swings, its travels 90 percent of the previous s

wing. I didn’t see all parts to the question on here so I did it.

1 answer:

Maru [420]3 years ago

3 0

30 and .9 have an amazing day

You might be interested in

If the midpoint of (4, 3) and point A has coordinates (-2, 6), what are the coordinates of point B?

baherus [9]

(xA+xB)/2, (yA+yB)/2 = (4,3)
(xA+xB)/2 = 4
(-2+xB) = 8 --> xB = 8+2 --> xB = 10
(yA+yB)/2 = 3
(6+yB) = 6 --> yB = 6-6 --> yB = 0

B = (10,0)

5 0

3 years ago

Helen Ming receives a travel allowance of $220 each from her company for time away from home. If this allowance in taxable and s

m_a_m_a [10]

Answer:

$33

Step-by-step explanation:

From the question, $22 is correct

If Helen Ming receives travel allowance of $220 from her company for time away from home

She has a 10% income tax rate

The amount she has to pay in taxes for the employee benefits is

10% of $220

10/100*$220

=0.1*$220

=$22

So you are correct

The only reason why you could be wrong is if the question is different from what you posted above just like the below question

Helen Ming receives a travel allowance of $220 each week from her company for time away from home. If this allowance is taxable and she has a 15 percent income tax rate, what amount will she have to pay in taxes for this employee benefit?

Here the amount she has to pay for the employee benefits is

15% of $220

15/100*$220

=0.15*$220

=$33

8 0

3 years ago

A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a

Sati [7]

Answer:

$P(X \geq0.55) \leq 0.22$

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

$Y=X_1+X_2+...+X_{100}$ is approximately normally distributed with

Y ~ N (100 × $\frac{1}{3^2}$ ) = N ( 50, $\frac{100}{9}$ )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, $\frac{100}{9}$ )

$P(Y>55) =P(Z>\frac{55-50}{10/3})$

$P(Y>55) =P(Z>1.5)$

$P(Y>55) =\phi (-1.5)$

$P(Y>55) =0.0668$

Using Chebyshev's inequality:

$P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}$

Let assume that X has a symmetric distribution:

Then:

$2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}$

$2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}$

$2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}$ where: ( $\sigma^2 = \frac{1}{3^2/100}$ )

$P(X \geq0.55) \leq 0.22$

6 0

3 years ago

How can I create an independent and dependent probability word problem that is about gumball? (also, the answer has to be writte

Gnoma [55]

A jar of jelly beans contains 50 red gumballs , 45 yellow gumballs, and 30 green gumballs. You reach into the jar and randomly select a jelly bean, then select another without putting the first jelly bean back. What is the probability that you draw two red jelly beans? This is Dependent because you didnt put the other jelly bean in thus changing the total nmber of jelly beans.

A jar of jelly beans contains 50 red gumballs<span> , 45 yellow gumballs, and 30 green gumballs. You reach into the jar and randomly select a jelly bean, then select another while replacing the first jelly bean back. What is the probability that you draw two red jelly beans? This is Independent because you put the other jelly bean in thus keeping the total number of jelly beans.</span>

8 0

3 years ago

(a) find the slope m of the tangent to the curve y = 5/ x at the point where x = a > 0.(b) find equations of the tangent line

Trava [24]

<span>(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2). (b) x=1, y=5ďĽŚand m=-5, the tangent line is y-5=-5*(x-1). x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)</span>

4 0

3 years ago