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butalik [34]
3 years ago
5

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the ye

ars of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500
Mathematics
2 answers:
avanturin [10]3 years ago
7 0

Answer:

  • b. y = 20.077 sin(0.500x - 1.959) + 67.577

Step-by-step explanation:

<u>The easiest way to solve</u>

  • 1. Plot the points for one year
  • 2. Add the functions to same graph and compare

This gave us the option B as the best fit line

<em>See the graph below</em>

lora16 [44]3 years ago
4 0

Step-by-step explanation:

the dude above me is right

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Does this sum converge: show steps
ehidna [41]

Answer:

Yes

Step-by-step explanation:

\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }

If we say u = √n, then:

\sum_{u=1}^{\infty} (\frac{1}{e})^{u}

This is a geometric series.  Since |1/e| < 1, the series converges.

6 0
3 years ago
A football player gained 2 yards on one player. On the next play, he gained 5 feet. Was his gain greater on the first play than
gtnhenbr [62]
In the first one, because 2 yards are equal to 6 feet. And 6 feet is greater than 5 feet.
Hope that helps!
6 0
3 years ago
Read 2 more answers
A triangular sail has base of 4 feet and a height of 5 1/2 feet. What is the area of the sail?
Step2247 [10]
Area of a triangle: (1/2)bh, where b = base and h = height

(1/2) x 4 x (11/2) 
= (4/2) x (11/2)
= 2 x (11/2) 
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4 0
3 years ago
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Karen is completing a fitness circuit. There are 12 fitness stations. At each station she can choose from 5 different activities
Feliz [49]

Answer:

60

Step-by-step explanation:

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6 0
4 years ago
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A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,
ioda

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis: all three brands are equally likely to their expected value

The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.

The expected frequency = f_e  

The observed frequency = f_o

f_e                    f_o                      (f_o- f_e)^2                       \dfrac{(f_o - f_e)^2}{f_e}

37                   30                       49.00                        1.633

21                    30                        81.00                        2.700

32                   30                         4.00                         0.133

                                                                X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47

Degree of freedom = (n-1)

= 3 -1

= 2

At ∝ = 0.05 and df = 2

The critical value X^2_{0.05, 2}= 5.99

Decision rule:

Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.

Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.

6 0
3 years ago
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