Answer:
The solution for the system of equations is
x=2,y=−2
Explanation:
4x−3y=14.....equation (1)
y=−3x+4.....equation (2)
Solving by substitution
Substituting equation 2 in equation 1
4x−3⋅(−3x+4)=14
4x+9x−12=14
13x=14+12
13x=26
x=2
Finding y by substituting x in equation 1
4x−3y=14
4⋅2−3y=14
8−3y=14
8−14=3y
3y=−6
y=−2
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: 
...the exponents were multiplied.
Using power rule.
We have,
⇒
⇒
...taking exponents individually.
⇒
...
⇒
So our final values are 32p^-15
<h2>x > 9</h2>
Step-by-step explanation:
<h3><em>-</em><em>5</em><em> </em><em>(</em><em>x</em><em>-</em><em>1</em><em>)</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em><em> </em><em>-</em><em>5</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em><em> </em><em>÷</em><em> </em><em>-</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>9</em></h3>
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Answer:
53 feet
Step-by-step explanation:
if you start with 62 feet and add 39 feet because he went down 62+39 you get 101 then if you subtract 48 because he went up, 101-48 you get 53 feet
