Quiz 3

We are given the points
<span>E (0, 27)
</span><span>F (5,−8)

and we need to calculate the rate of change and the initial value:

To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7

The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>

Answer:

Step-by-step explanation:

Notation

is the sample mean

indicates the population mean (the variable of interest)

s signifies the sample standard deviation

n denotes the sample size

Solution to the problem

The mean's confidence interval is derived from the following formula:

  (1)

In this instance, the 9% confidence interval corresponds to:

We can determine the mean using the following:

Additionally, the margin of error can be calculated as:

The margin of error for this situation is expressed as:

Next, we find the standard error:

The critical value for a 95% confidence interval using a normal standard distribution is roughly 1.96, and substituting gives us:

For the 98% confidence interval, the significance corresponds to and with a critical value of 2.326, yielding a confidence interval of:

E+7 indicates 10 raised to the power of 7, which entails shifting the decimal 7 places to the right, resulting in approximately 38200000.0.

Answer:

     The angles m∠Q and m∠S together equal 90°

Step-by-step explanation:

A right angle measures 90°.

The total measure of angles in a triangle sums to 180°.

This gives us:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

Rearranging yields:

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

The equations 13x + 15y = 55.50 and 46x + 16y = 131.50 can be utilized to find out the cost per pound for both bananas and grapes, where x represents the price for bananas and y denotes the price for grapes.