Kira keeps track of how much time she spends walking her dog each morning. Her data

Answer:

The p-value for this test is 0.031. It should be interpreted as "There is a 96.9% likelihood that the actual average of soup sales at the new site exceeds 75 bowls it daily"

Step-by-step explanation:

The p-value"In hypothesis testing, the p-value, or probability value, represents the likelihood of obtaining test outcomes at least as extreme as the observed results, given that the null hypothesis holds true"

In this scenario, we start with the following expression:

The first step involves evaluating the quadratic component.

Next, we have:

The following step is to subtract the two resultant values:

It is clear that the outcome of this operation is a negative value.

Answer:

The expression results in:

I have included a screenshot of the entire question along with its accompanying diagram.

Answer:
∠1 = 163°

Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°

2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°

I hope this clarifies things!:)

The adjusted equation , indicating that the graph has been altered 4 units leftward and 6 units downward.

Clarification:

The parent equation is .

The transformed equation is .

Applying the function transformation rules, it's clear that the parent function has been modified into the function .

According to the function transformation rules,

indicates shifting the function b units to the left.

Thus, the transformed function reflects a shift 4 units to the left.

Additionally, from the function transformation rules, we understand that,

indicates shifting the function b units downward.

Consequently, the transformed function mirrors a shift of 6 units downward.

In summary, the adjusted equation , shows the graph shifted 4 units to the left and 6 units downward.

Answer: To remove fractions prior to solving, each term in the equation must be multiplied by .

Step-by-step explanation:

Consider the given expression:

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

Select , as it possesses the greatest exponent. Thus:

Ultimately, to remove the fractions before solving, multiply both sides by 4: