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3 years ago

What value of H makes the equation true

1 answer:

6 0

−1/8 x (2H + 4) + 1/2= −7/4
-1/4H - 1/2+ 1/2 = -7/4
-1/4H = -7/4
H = -7/4 * (-4/1)
H = 7
answer
A 7

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p

Effectus [21]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

118, 124, 108, 116, 99, 125, 138, 118, 119, 121, 65, 130, 120

Ordered data:

65, 99, 108, 116, 118, 118, 119, 120, 121, 124, 125, 130, 138

1.)

90th percentile :

0.9(n + 1)th term

n = sample size = 13

0.9(14) th term

= 12.6th term

= (12 + 13)th / 2

= (130 + 138) / 2

= 134

Third quartile (Q3) = 75th percentile

0.75(n + 1)th term

n = sample size = 13

0.75(14) th term

= 10.5th term

= (10 + 11)th / 2

= (124 + 125) / 2

= 124.5

What is the first quartile?

First quartile (Q1) :

0.25(n + 1)th term

n = sample size = 13

0.25(14) th term

= 3.5th term

= (3 + 4)th / 2

= (108 + 116) / 2

= 112

(4) What is the 10th percentile?

0.1(n + 1)th term

n = sample size = 13

0.1(14) th term

= 1.4th term

= (1 + 2)th / 2

= (65 + 99) / 2

= 82

(5) 65tb percentile :

0.65(n + 1)th term

n = sample size = 13

0.65(14) th term

= 9.1th term

= (9 + 10)th / 2

= (121 + 124) / 2)

= 122.5

(6) What is the IQR?

Q3 - Q1

124.5 - 112

= 12.5

(7) What are the lower and upper limits?

Maximum = 138

Minimum = 65

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2 years ago

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8 0

3 years ago

What are all values of x for which the series shown converges?

adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

$\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}$

We can write this as:

$\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}$

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

$\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}$

Then we have the inequality

$1 > (x - 2)/3$

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

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2 years ago

( 2 7/8 + 3 3/8 ) + 1 1/8 =

Monica [59]

Look at the attached picture⤴

Hope this will help u...

5 0

3 years ago

MrRa [10]

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

4 0

3 years ago