Pablo shares 525 cupcakes in the ratio of 3:4 between his

The area calculation for the shaded section, as seen in the attached diagram, involves subtracting the area of the kite from that of the rectangle. The area of the rectangle is calculated as (3x+x)*(x+x), which simplifies to 4x*2x, equating to 8x². The area of the kite is determined using the formula (1/2)*[d1*d2], where d1 and d2 represent the diagonals, specifically d1=4x and d2=2x. Therefore, the area of the kite becomes (1/2)*[4x*2x], leading to 4x². Consequently, the area of the shaded region can be computed as 8x²-4x², resulting in 4x². Thus, the solution is 4x².

Answer: step 1. property of equality through addition

step 2. property of equality through subtraction

step 3. property of equality through division

Detailed explanation:

Answer:

The Framers provides the more affordable price, being $1.35 less expensive.

Step-by-step explanation:

I've Been Framed:

50% of $115 amounts to $57.5.

10% of $57.5 equals $5.75.

Subtracting gives $57.5 - $5.75 = $51.75.

Total: $51.75

The Framers:

30% off $120 results in $36.

After discount, $120 - $36 equals $84.

40% off $84 is $33.6.

Subtracting gives $84 - $33.6 = $50.4.

Price difference: $1.35

9+9+9+9+9=45. I'm unsure if that is what they want.

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.