His hourly wage was $13.25, and he just got a 15% increase.
Calculating: 13.25 + 0.15 × 13.25 = 13.25 + 1.99 = 15.24 dollars per hour with the raise.
For 2080 hours, the total yearly pay is:
15.24 × 2080 = 31,699.20 <==
Answer: a) 
b) 
Step-by-step explanation:
a) To achieve an even total, there are 3 possible combinations:
1) Even, Even, Even, Even 
2) Even, Even, Odd, Odd
3) Odd, Odd, Odd, Odd
Order is irrelevant
Summing these yields your final result: 
b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.
c) Step-by-step breakdown: The collision rate is 1.2 incidents per 4 months, which can be expressed as 0.3 incidents monthly. Therefore, the Poisson distribution for the variable X representing monthly collisions is defined as P(X = x) =... for x ∈ N ∪ {0} = 0 otherwise. (1) Where X = 0 denotes no collisions during a 4-month timeframe, substituting gives P(X = 0) =... (2). For a 4-month period, P(No collision in 4 month period) =... (3). Two collisions in a 2-month span translate to 1 per month, thus P(X =1) =... (4). Over 2 months, P(2 collisions in a 2 month period) =... (5). One collision over a 6-month period equates to P(1 collision in 6 months period) =... (6). Consequently, P(1 collision in 6 month period) results in... (7). For no collisions in a 6-month period, P(No collision in 6 months period) =... (8). Finally, the probability of 1 or fewer collisions over six months is P(1 or fewer collision in 6 months period) = (8) + (7) = 0.0785 + 0.1653.
Answer and explanation:
Algebra revolves around the fundamental idea of using letters known as variables to represent quantities, which allows for solving for unknown values. Essentially, algebra involves transitioning from what is known to what is unknown to ascertain those unknown results. For instance, if we know a specific item was purchased twice but we're unsure of its price, we can denote this unknown price as 2a or 2p, depending on the selected variable. If the total spending for those items is, say, $50, we can set up the equation 2a = $50, which leads us to find that the cost per item is $25.
Algebra can also manifest itself in expressions, commonly referred to as algebraic expressions, which can be incorporated into equations, such as the previously mentioned 2a = $50. These expressions may take forms like 2a + 3b, where a and b designate the costs of different products that were acquired in quantities of 2 and 3, respectively.
Hello! There are three sentences in this problem that we need to complete with the appropriate values. Let's begin with the first sentence. SENTENCE #1 The initial number of visits to the website was ____. Before inserting numbers, I want to ensure you understand the word 'initial.' It refers to the very first value in something. Therefore, this sentence is asking for the first count of visits on the football team's website. It doesn't specify if it's the initial visits within the first day or hour, so we can assume it's the first week's count. To find the number of visits in week 0, we'll review the chart, which indicates 48,000 visits for that week. Thus, the completed sentence will say, The initial number of visits to the website was 48,000. SENTENCE #2 The percent decrease from week __ to week __ was ____%. To determine the percent decrease, we first calculate the difference between the two values, then divide that difference by the original number and multiply by 100. Hence, the new statement concludes with, The percent decrease from week 4 to week 5 was 50%. SENTENCE #3 The minimum number of visits on the website during the first 5 weeks since Jim began his assessment was ____. This is straightforward; we only need to check week 5 to find the minimum visit count. Therefore, the completed sentence will state, The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. Hope this helps! - Lindsey Frazier ♥
