Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .<span>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 30/5 = 6.Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/-3 = -10.Slope is -5/-3 = 1.66666666666667.<span> Equation in slope-intercept form: y=1.66666666666667*x+-10.</span></span>
Answer:
x = 0.1, y = 0.075
Step-by-step explanation:
Given the 2 equations
27x + 24y = 4.5 → (1)
1.5x + y = 0.225 → (2)
Multiplying (2) by - 24 and adding to (1) will eliminate the y- term
- 36x - 24y = - 5.4 → (3)
Add (1) and (3) term by term to eliminate y
- 9x = - 0.9 ( divide both sides by - 9 )
x = 0.1
Substitute x = 0.1 into either of the 2 equations and solve for y
Substituting into (2)
1.5(0.1) + y = 0.225
0.15 + y = 0.225 ( subtract 0.15 from both sides )
y = 0.075
Answer:
<em>H</em>₀: <em>μ₁ = μ₂= μ₃</em>
<em>Hₐ: </em>At least one of the means is different.
Step-by-step explanation:
Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.
The hypothesis of an ANOVA test for <em>n</em> homogeneous groups is:
In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.
The hypothesis for this test can be defined as follows:
<em>H</em>₀: The mean bone mineral density is not different for the three different groups, i.e. <em>μ₁ = μ₂= μ₃</em>
<em>Hₐ: </em>The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.
<span>M/9+2/3=7/3
</span><span>M/9 =7/3 - 2/3
M/9 = 5/3
M = 5/3 x 9
M = 15</span>
Answer:
In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.
=> Two right triangles PNT and PRT are congruent.
=> angle PRT = angle PNT = 34 deg
=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg
=> Option A is correct.
Hope this helps!
:)
