Answer:
Step-by-step explanation:
Given the system of two equations:
Multiply the first equation and the second equation by 60 to get rid of fractions:
Now multiply the first equation by 4 and the second equation by 5:
Subtract them:
Substitute it into the first equation:
The solution is
Answer:
B.
Step-by-step explanation:
The percent increase when 7200 increases by 1800 is 25 %
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Step-by-step explanation:
Let,
x represents the number of points for a goal.
y represents the number of points for a penalty.
Therefore,
6 goals = 6x
3 penalties = 3y
8 goals = 8x
9 penalties = 9y
According to given statment;
6x+3y=6 Eqn 1
8x+9y= -22 Eqn 2
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Keywords: linear equation, variables
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Answer: x = 148 degrees
Step-by-step explanation:
This problem makes use of Supplementary Angles. Supplementary Angles states that two angles that make up a line add to 180. Thus, simply use the equation 32 + x = 180
x = 148
Hope it helps <3
Answer:
We reject H₀
we accept Hₐ seeds in the packet would germinate smaller than 93%
Step-by-step explanation:
Test of proportions
One tail-test (left side)
93 % = 0.93
p₀ = 0,93
1.- Hypothesis
<h3>
H₀ ⇒ null hypothesis p₀ = 0.93</h3><h3>
Hₐ ⇒ Alternative hypothesis p = 0.875</h3><h3>
2.-Confidence interval 95 %</h3><h3>
α = 0,05 </h3><h3>
and </h3><h3>
z(c) = - 1.64</h3><h3>
3.- Compute z(s)</h3><h3>
z(s) = (p - p₀)/√(p₀*q₀)/n z(s) = (0.875-0.93)/√0.93*0.07)200</h3><h3>
z(s) = - 0,055/ √0.0003255</h3><h3>
z(s) = - 0.055/ 0.018</h3><h3>
z(s) = - 3,06</h3><h3>
4.-Compere z(c) and z(s)</h3><h3>
z(s) < z(c) -3.06 < -1.64</h3><h3>
z(s) is in rejection region, we reject H₀</h3>
