Determine whether each statement makes sense or does not make sense, and explain your reasoning. I’ve noticed that whenever the dot product is negative, the angle between the two vectors is obtuse.

The table shows Emma's midyear exam results. The exam results for each subject are normally distributed with the mean $\mu$ and standard deviation $\sigma$ shown in the table.

$$\begin{matrix} \text{Subject} & \text{Emma's score} & {\mu} & {\sigma}\\ \text{English} & \text{48} & \text{40} & \text{4.4}\\ \text{Mandarin} & \text{81} & \text{60} & \text{9}\\ \text{Geography} & \text{84} & \text{55} & \text{18}\\ \text{Biology} & \text{68} & \text{50} & \text{20}\\ \text{Maths} & \text{84} & \text{50} & \text{15}\\ \end{matrix}$$

Arrange Emma's subjects from 'best' to 'worst' in terms of the z-scores.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm working with a true conditional statement, but when I reverse and negate the antecedent and the consequent, my new conditional statement is no longer true.

A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?

Which statement about retrospective and prospective toxicity studies is correct? (a) Retrospective studies are not conducted on humans. (b) Prospective studies are only conducted on wild animals. (c) Retrospective studies monitor health effects from future chemical exposures. (d) Prospective studies monitor health effects from future chemical exposures. (e) Prospective studies monitor health effects from past chemical exposures.

A stained glass window has an area of 900 square inches. a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window? b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?

(a.) What is meant by tangent line approximation? (b.) Define the terms propagated error, relative error, and percentage error.

Simplify.

$$\sqrt [ 3 ] { 32 }$$

Write the word sentence as an inequality. $y+5 \gt 8 ; y=1$

Determine whether the given random variable X is discrete or continuous. X measures the living area of a randomly selected house in your neighborhood.

Southside Landscapes proposes to plant the flower beds for the historic Earle House gardens. The company uses four patterns. Pattern I uses 40 tulips, 25 daffodils, and 6 boxwood. Pattern II uses 25 tulips, 50 daffodils, and 4 boxwood. Pattern III uses 30 tulips, 40 daffodils, and 8 boxwood. Pattern IV uses 45 tulips, 45 daffodils, and 2 boxwood. The profit for each pattern is $48 for Pattern I,$45 for Pattern II, $55 for Pattern III, and$65 for Pattern IV. Southside Landscape has 1250 tulips, 1600 daffodils, and 195 boxwood available. How many of each pattern should be used to maximize profit?

Calculate. $\int{\dfrac{dx}{1-\sqrt{x}}}$

To be rescued from the roof of a burning building, a 70-kg man must be able to jump straight up and catch hold of a rope ladder hanging from a helicopter. He has to raise his center of mass 2.00 m above the roof to do so. (a) If he crouches down such that his center of mass is 0.50 m above the roof and his feet leave the roof when his center of mass is 1.05 m above the roof, what minimum force must he exert on the roof to reach the ladder? (b) A typical candy bar contains about 850 kJ of food energy. How many candy bars does this jump require?

Claim: The mean pulse rate (in beats per minute, or bpm) of adult males is equal to 69 bpm. For the random sample of 153 adult males the mean pulse rate is 69.6 bpm and the standard deviation is 11.3 bpm. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).