Evaluate e − 1 2 f e− 2 1 ​ fe, minus, start fraction, 1, divided by, 2, end fraction, f when e = 15 e=15e, equals, 15 and f = 2

The test statistic (Z) is 2.5767, and the p-value of the test is 0.009975. The null hypothesis suggests that the smoking rate among students has not changed, while the alternative indicates otherwise. The z-statistic for the sampled proportion is computed, yielding z ≈ 2.5767. As we investigate whether the smoking percentage has shifted over the preceding five years, the two-tailed p-value is found to be 0.009975. This result is significant at a 99% confidence level, demonstrating substantial evidence that the percentage of smoking students has changed.

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.

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we define a straight angle:

A straight angle measures 180°

Now, we need to find two thirds of that straight angle

To compute the fraction, multiply the straight angle's measurement by

Thus:

of a straight angle = degrees

Hope this helps:)

The volume of a rectangular prism is calculated as
V = length × width × height

. For the juice carton, the volume is calculated as
V = 4 × 4 × 8 = 128 in³

. The volume formula for a cylinder is
V = Area of circular base × height = ×h, where denotes the radius of the circular base

. The volume for the cylindrical glass is computed as
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

. Therefore, the quantity of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


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