Miguel is a 20 year old client at a gym. His desired training intensity is 50% of his maximum heart rate. He has a resting heart
2 answers:
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Answer:
Option 1,
The triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm
Step-by-step explanation:
Given triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. we have to find the similarity triangle sides from the given option.
As we know, the two triangles are similar if the measures of the corresponding sides of two triangles are proportional.
For the first option: 35 cm, 41 cm, 43 cm
which shows that the sides are proportional.
we have to choose only one option ∴ we needn't have to check the others
Hence, the triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm
Answer:
<em>3y+5x=6</em>
Step-by-step explanation:
<u>Equation of the Line</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
The line passes through the points (6,-8) and (-3,7), thus:
Simplifying:
Multiplying by 3:
Moving all the variables to the left side:
3y + 5x = 30 - 24
3y + 5x = 6
Answer:
Step 1: The null and alternative hypothesis for the one way analysis of variance is,
H₀ : There is no difference in the means of each area.
H₁ : At least one mean is different.
The objective of this question is to test whether the income of the three areas are significantly different.
Step 2: The problem states to use 0.05 significance level.
Step 3: The test statistic follows the F-distribution.
Step 4: Decision rule is based on the critical value.
Numerator degrees of freedom is,
K - 1 = 3 - 1
= 2
Denominator degrees of freedom is 2.
n - k = 12 - 3
= 9
Using the F-distribution table for ∝=0.05 with numerator and denominator degrees freedom, the critical value is 4.26. The decision rule is to reject H₀ if the computed value of F exceeds 4.26.
Step 5: Calculations.
Using Excel follow the steps mentioned below.
1. Import or type the data into spreadsheet.
2. Data--------> Data Analysis----------> Anova: Single Factor, click OK.
3. Select Input Range, make a tick mark on Labels in the first row, enter 0.05 for alfa.
4. Click OK.
The obtained output for the one-way ANOVA is,
[ find the figure in attachment]
From the obtained output, the computed test statistic value, F = 14.18 , which is greater than the critical value of 4.26. So, reject H₀
Step 6: Interpretation. The average income of each area is different. It can be concluded that the average income is significantly different .
