4x+8y=16
Move the 4x to the other side to put it into slope intercept form.
8y=-4x+16
Then divide by 8.
Y=-1/2x+2
The slope is -1/2 and the Y intercept is 2.
Answer:
You can use the midpoint formula.
Method:
MAB = (Ax+Bx)/2 ; (Ay+By)/2
Substitute in what you have:
(2;4) = (Ax+3)/2 ; (Ay+7)/2
Because we know the x coordinate of the midpoint, we can assume that:
2 = (Ax+3)/2
And now solve for Ax:
4 = Ax+3
Ax = 1
Because we know the y coordinate of the midpoint, we can assume that:
4 = (Ay+7)/2
And now solve for Ay:
8 = Ay+7
Ay = 1
Therefore A(1;1)
Answer:
To answer you question, we need the confidence internals formula, μ±Zc*(σ/
); N is the 20 psychology students, 0.5 the desviation standar and 4.3 is the medium based on national data, every fact in years.
Step-by-step explanation:
You need to consult the Zc value, you can find this table attached in this question; for 95%, we have a Zc value of 1.96.
Next step replace values: 4.3±1.96*(0.5/
) = 4.3±0.22 (rounding the result)
So, the confidence interval are:
4.08cm≤X≤4.52cm
~Kindly see the attached picture!
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Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet