Reducing
9x + -31 = 43
Rearranging the components:
-31 + 9x = 43
Finding the solution
-31 + 9x = 43
Isolating the variable 'x'.
Shift all terms with x to one side,
Add '31' to both sides of the equation.
0 + 31 + 9x = 43 + 31
Summing up similar items:
-31 + 31 = 0
0 + 9x = 43 + 31
9x = 43 + 31
Summing similar items:
43 + 31 = 74
9x = 74
Split each side by '9'
x = 8.222222222
Simplifying
x = 8.222222222
To determine if there is evidence suggesting a change in average height, we can conduct a right-tailed test and formulate both null and alternative hypotheses.
H₀ (null hypothesis): μ = 162.5
H₁ (alternative hypothesis): μ > 162.5
With two samples to analyze, we can calculate the z-score using the formula provided below.

In this formula, Z symbolizes the z-score, Χ denotes the new sample mean, μ indicates the theoretical average, δ represents the standard deviation, and n signifies the sample size. Based on the gathered values,


Assuming a significance level of α = 0.05. With a z-score of 2.77, we can reference the z-table to ascertain the p-value. This yields P(Z > 2.77) =.0028. Since our p-value is below α, we reject the null hypothesis, indicating that the average height of female freshman students has indeed shifted.
B, the points E, F, and H are located at the bottom of the figure.
Answer:
150
Step-by-step explanation:
We perform addition.
a) The total of 48 added to itself
= 48 + 48 = 96
b) Its half plus half of the half
= 96 + (1/2 × 48) + (1/2 × (1/2 × 48)
= 96 + 24 + (1/2 × 24)
= 96 + 24 + 12
= 132
c) plus 18
= 132 + 18
= 150
Thus, adding 48 to itself, its half, and half of that to 18 results in 150.
Is she giving her mother 8 apples or 10 since I experienced this exact issue?