A company surveyed 100 newer employees. These employees were chosen at random from the company's database, and only employees wi

The solutions to the equation are

Explanation:

Given the equation

, we aim to find the solutions of the equation.

Let us use and

Thus, the equation transforms into

Factoring the equation results in:

Inserting back and allows us to solve for x.

Initially, we will substitute

Consequently, we find;

Similarly, by substituting , we derive;

Thus, the solutions to the equation are

Response:

e. 545

Detailed explanation:

In a survey sample containing n individuals, with a success probability of , and a confidence level of , the ensuing confidence interval for proportions is established.

Wherein

z denotes the z-score corresponding to a probability value of .

For this scenario, we find:

The estimate averages the two bounds. Thus

95% confidence level

Consequently, z represents the z value corresponding to the p-value of , hence .

The lower boundary of this interval is:

In this query, L = 0.82. Therefore

Thus, the accurate response is:

e. 545

3x² - 7x - 8 = 0

Since we need to calculate square roots, we'll skip factoring and directly apply the quadratic formula,

x = ( 7 ± √(7² - 4(3)(-8))    )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6

145 = 5×29, indicating there are no square factors. The positive difference is

d =  (7/6 + √145/6) - (7/6 - √145/6) = 2√145/6 = √145/3

therefore, m=145, n=3 leading to a sum of

Answer: 148

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

The price is $9.70 per kilogram.