8.5b−3.4∙(13a−3.2b)+a

We consider all workers as either full-time or part-time. 36 = 24 + 12 If there are 24 or fewer full-time workers, there must be at least 12 part-time workers. (This conclusion is based on the understanding of sums.) You can formulate the inequality in two steps. First, present and resolve an equation for full-time workers in relation to part-time workers. Then, apply the specified limit on full-time workers. This results in an inequality that can be solved for part-time workers. Let f and p represent full-time and part-time positions, respectively. f + p = 36... given f = 36 - p... subtract p to express f in terms of p. f ≤ 24......... given (36 - p) ≤ 24.... substitute for f. This gives your inequality in terms of p. 36 - 24 ≤ p.... rearranging gives p ≥ 12........ this is the solution to the inequality

To address this problem, let's start by formulating the general motion equation along the vertical direction.

This gives us:

Where,

• g: gravitational acceleration
• vo: initial velocity
• h0: starting height

For the first individual:

For the second individual:

When both individuals reach the identical altitude, the following holds:

Rearranging results in:

Solving for time:

Result:

The two window washers reach the same height after 18.31 seconds.

A cyclist maintains a consistent speed of 12 miles per hour over a period of 45 minutes. We apply the formula, Distance = speed * time With a constant speed of 12, it reflects a linear relationship. The equation is represented as d = 12t, where t stands for time and d signifies distance. At the origin, t=0 and distance d=0. At the conclusion, t=45 min = 0.75 hours and consequently, distance is 12 * 0.75 = 9. Thus, the domain (t) is { } Range (d) is { }

Answer:

Step-by-step explanation:

Pepita and Francisco allocate equal amounts of time to their homework. The table indicates how they distribute their time across various subjects.

Pepita dedicated

to English and Science.

Thus, she utilized

for Math.

On the other hand, Francisco spent

on Math and Science, resulting in him spending

on English.

The table displays:

Answer:

Yes, sufficient evidence exists to reject the proposal.

Step-by-step explanation:

This requires a single mean test to determine if the average expense of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypotheses are:

H₀: The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, or µ = $13,960.

Hₐ: The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. differs from $13,960, or µ ≠ $13,960.

Provided is the summary of information:

The computed test statistic is:

The test statistic equals -2.24.

We will determine the p-value for this test statistic at a 10% significance level using the following calculations:

               

Consult the z-table.

The calculated p-value stands at 0.0251 < 0.10, prompting the null hypothesis to be rejected.

Conclusion:

Since the null hypothesis has been rejected at the 10% significance level, it can be concluded that sufficient evidence exists to refute the claim.

The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. does not equal $13,960.