Step-by-step explanation:
A.Confidence Level: 99.7%; Confidence Interval: 42 to 48
B.Confidence Level: 95%; Confidence Interval: 43 to 47
C.Confidence Level: 68%; Confidence Interval: 44 to 46
D.Confidence Level: 95%; Confidence Interval: 44 to 46
The regression equation which correctly models the data in this table is y = 1.49x - 107.5,
<h3>How to determine the regression equation?</h3>
From the table of data values, we have the following parameters:
∑x = 632
∑y = 404
∑x² = 80.142
∑xy = 51.448
Mathematically, the regression equation is represented by the following slope equation:
y = Bx + A
Next, we would determine A by using this expression:
A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)
A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)
A = (32,377,368 - 32,515136)/(5×80142 - 399,424)
A = -137,768/1286
A = 107.5
For B, we have:
B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)
B = (5×51,448 - 632×404)/(5×∑x² - (632)²)
B = 1.49.
y = Bx + A
y = 1.49x - 107.5
Read more about regression equation here: brainly.com/question/28037520
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- The equivalent inequality for the number line is x < 8
- The equivalent inequality for the number line is x ≥-5
<h3>Inequality functions </h3>
The inequality expression is an expression not separated by an equal sign,
11) The equivalent inequality for the number line is x < 8. This shows that the values of x that make it true must be less than 8.
Note that the sign is less than because the circle is open and moves towards the left of the number line
11) The equivalent inequality for the number line is x ≥-5. This shows that the values of x that make it true must be greater than or equal to 8.
Note that the sign is greater than or equal to because the circle is closed and moves towards the right of the number line
Learn more on number line here:brainly.com/question/24644930
Answer:
tanA=34⟹sinA=332+42−−−−−−√=35
Now, we have
sinAcosA=tanA
⟹3/5cosA=tanA
⟹cosA=13×54×3
⟹cosA=45
⟹cosAsinA=4×35×5=1225
Step-by-step explanation:
