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ollegr [7]
3 years ago
10

A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by

a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

im sorry i dont know the answer

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Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w
cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 1.2

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

Z = \frac{X - \mu}{\sigma}

-1.047 = \frac{X - 12}{1.2}

X - 12 = -1.047*1.2

X = 10.7436

The cutoff sales level is 10.7436 millions of dollars

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3 years ago
1. Ima Thief robs a bank and takes off in a getaway car. Five minutes Polly Srule takes off after Ima.
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Answer:

A

Step-by-step explanation:

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What percentage of the area under a normal curve is within 1, 2, and 3 standard deviations of the mean
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You need to have a labotomy sir

Step-by-step explanation:

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mina [271]

Answer:

f^{-1}(x) = \frac{1}{9} x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

\frac{y}{9} = x - 8 ( add 8 to both sides )

\frac{y}{9} + 8 = x

Change y back into terms of x with x = f^{-1}(x) , thus

f^{-1}(x) = \frac{1}{9} x + 8

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24,150

Step-by-step explanation:

7% of 345,000 = 24,150

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