Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music,
= 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify,
= 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation

H₀:
≠
H₁:
=
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Given:
radius : 3.5 ft
height : 14 ft
Surface Area of a cylinder = 2πrh + 2πr²
S.A. = 2 * 3.14 * 3.5ft * 14ft + 2 * 3.14 * (3.5ft)²
S.A. = 307.72ft² + 2 * 3.14 12.25ft²
S.A. = 307.72ft² + 76.93ft²
S.A. = 384.65 ft²
Volume of a cylinder = πr²h
V = 3.14 * (3.5ft)² * 14ft
V = 3.14 * 12.25ft² * 14ft
V = 538.51 ft³
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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Answer:
3>=3
Step-by-step explanation:
2(4+2x)>=5x+5
distribute the 2: 8+4x>=5x+5
8>=x+5
3>=x