The value of p in the equation 2p - 3 = p + 2 Is
2 answers:
Answer:
p = 5
Step-by-step explanation:
Given equation:
2p - 3 = p+2
To Find:
- Value of <em>p</em>
Soln:
2p - 3 = p + 2
<em>Subtract p from both sides:</em>
=>2p-3−p = p+2-p
=>p-3 = 2
<em>Add 3 to both sides</em><em>:</em>
=>p−3+3 = 2+3
=>p = 5
Hence,the value of <em>p</em> would be 5.
<em><u>We can plug the value we got to the original equation to verify:</u></em>
=> 2p - 3 = p + 2
- p = 5
=> 2(5) -3 = 5 + 2
- [Make sure to simplify using PEMDAS]
=> 10 - 3 = 7
=> 7 = 7 [Proved]
Hence,this equation is true.
Acronym PEMDAS rule means:
- P:Parentheses
- E:Exponents
- M:Multiplication
- D:Division
- A:Addition
- S:Subtraction
You might be interested in
Answer:
Part A: The null hypothesis failed to be rejected.
Part B: The null hypothesis failed to be rejected.
Step-by-step explanation:
We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.
Part A: If the significance level is 0.05, the conclusion depends on the P-value.
If the P-value is below 5%, the null hypothesis is rejected.
The P-value for this right-tailed tes and z=1.15 is:
The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.
Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.
This changes the way we calculate the P-value, as we need to compute the two tails.
The P-value is:
The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.
Answer:
g = -1
Step-by-step explanation:
Given the following data;
Slope, m = 9
Points = (-7, -10) and (-6, g)
X-axis = x1, x2 = (-7, -6)
Y-axis = (y1, y2) = (-10, g)
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
9 = (g - (-10))/(-6 - (-7)
9 = (g + 10)/(-6 + 7)
9 = (g + 10)/1
Cross-multiplying, we have;
9 = g + 10
g = 9 - 10
g = -1