The 3rd one because of the laws and newton’s ways
Answer:
6
Step-by-step explanation:
11 1/2 = 11.5
2 1/4 = 2.25
11.5 ÷ 2.25= 5.11
she needs 6 containers because you round up 5.11 to 6.
if your doing the work in fractions rather decimals let me know and I can explain it that way too
Answer:
H0:p=0.5
H1:p>0.5
Sample proportion=492/792=0.6276
Test statistic:
z=(0.6276-0.5)/sqrt(0.5*(1-0.5)/784)
z=7.14
p-value=P(z>7.14)=0
Step-by-step explanation:
Answer:
y + 12 = 3(x - 2)
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. Since both lines contain have to have similar <em>rate of changes</em> [<em>slopes</em>], we do not go any further.
Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31