Korey starts a small carwash business to save up some cash. He decides to offer two different price packages to his clients. Pac

Answer:

A - For every 100 customers, a cashier should anticipate 26 who do not make a purchase before encountering a buyer.

B - The probability of a purchase is 1/4

Step-by-step explanation:

There's a 74% estimated likelihood that a customer will buy something

If a total of 100 individuals enter the grocery store on any given day,

then 74 % of the visitors

= 74% of 100

= 74 people are likely to make a purchase.

⇒ This means out of 100 visitors, 74 will buy something.

Consequently, the number of individuals NOT buying anything = 100 - 74 = 26

⇒ Thus, 26 people among 100 will NOT make a purchase.

Additionally, 26 equates to 26% of 100

Part A:

So, the cashier can expect 26% of the customers won't buy anything as the percentage of individuals not purchasing stands at 26%.

Thus, in a group of 100 individuals, the cashier can anticipate 26 before finding a buyer.

Part B:

The percentage of customers buying = 74%

The percentage of individuals NOT buying = 26%

Therefore, for every 3 customers making a purchase, there will be 1 who does not buy. Thus, the probability is 1/4

<span>Given that each individual can receive a single prize, there are 50*49*48= 117600 different ways to allocate the prizes. The first award can be given to any of the 50 participants, the second to one of the remaining 49, and the last to one of the leftover 48. Multiplying these options together provides the solution.</span>

The question seems to require answer choices, which are provided below:

a) sqrt(1 - x^2)
<span>b) x / sqrt(1 - x^2)</span>
<span>c) sqrt(1 - x^2) / x</span>
<span>d) 1 / sqrt(1 - x^2)
</span>
The correct selection is <span>c) sqrt(1 - x^2) / x</span>.

This is because cos u equals sqrt(1 - sin² u), which is sqrt(1 - x²), and cot u is defined as cos u divided by sin u.

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.