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VladimirAG [237]
3 years ago
14

$119.50 skateboard 20% off

Mathematics
2 answers:
VMariaS [17]3 years ago
6 0
119.5 * 0.2= 23.9

119.5-23.9= 95.6

New price, $95.60
Triss [41]3 years ago
5 0
To find 20% of 119.50 you multiply 119.50 by 20% in decimal form
Then you subtract the discount (d) from the total to get your new price (n)

119.5*.2=d
23.9=d

119.5-d=n
119.5-23.9=95.6

So the new price is <u><em>$95.60</em></u>
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A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data
Rasek [7]

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

\overline{x}=\frac{\Sigma x}{n}

\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}

\overline{x}= 2.08

Now, we estimate standard deviation:

s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }

s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }

s = 0.1564

For t-score, we need to determine degree of freedom and \frac{\alpha}{2}:

df = 12 - 1

df = 11

\alpha = 1 - 0.95

α = 0.05

\frac{\alpha}{2}= 0.025

Then, t-score is

t_{11,0.025} = 2.201

The interval will be

\overline{x} ± t.\frac{s}{\sqrt{n} }

2.08 ± 2.201\frac{0.1564}{\sqrt{12} }

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

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3 years ago
Which type of dog food will the trainer run out of first
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Shtirlitz [24]
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7 0
3 years ago
Factor completely x3 – 8
Travka [436]

Answer: (x-2) (x^2 + 2x + 4)

Step-by-step explanation:

x^3 - 8

x^3 - 2^3

(x-2) * (x^2+x * 2 + 2^2)

(x-2) (x^2 + 2x + 4)

3 0
3 years ago
If $580 is invested in an account which earns 9% interest compounded annually, what will be the balance of the account at the en
joja [24]
The formula for compounded interest is A = P (1+r/n)^nt.
P=580 
r = .09
n = 1
t = 9
<span>
To find how much the balance is at the end of nine years, plug in all of the knows into the formula.</span>
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).



8 0
3 years ago
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