The winner of a weight-lifting competition bench-pressed 400 pounds. The other competitors all bench-pressed at least 23 pounds less. a. Write an inequality that represents the weights that the other competitors bench-pressed. b. Was one of the other competitors able to bench-press 379 pounds? Explain.

Solve the inequality. Graph your solution. r - 4 < -5

$$\text{ If a random variable } X \text{ is defined such that }$$

$$E[(X − 1)^2] = 10 \text{ and } E[(X − 2)^2] = 6,$$

$$\text{ find } \mu \text{ and } \sigma^2.$$

Classify the two samples as independent or dependent. Explain your reasoning. Sample 1: The maximum bench press weights for 53 football players Sample 2: The maximum bench press weights for the same 53 football players after completing a weight lifting program

The inequality

$$x \leq 1324$$

represents the weights (in pounds) of all mako sharks ever caught using a rod and reel. Your friend says this means no one using a rod and reel has ever caught a mako shark that weights 1324 pounds. Your cousin says this means someone using a rod and reel has caught a mako shark that weights 1324 pounds. Who is correct? Explain your reasoning.

The Xianren Bridge is located in Guangxi Province, China. This arch is the world's longest natural arch, with a length of 400 feet. Write and graph an inequality that represents the lengths

$$\ell$$

(in inches) of all other natural arches.

Write the sentence as an inequality. One-half of a number y is more than 22.

According to a state law for vehicles traveling on state roads, the maximum total weight of a vehicle and its contents depends on the number of axles on the vehicle. For each type of vehicle, writes and graph an inequality that represents the possible total weights w (in pounds) of the vehicle and its contents. 2 axles 40,000 lb 3 axles 60,000 lb 4 axles 80,000 lb

A loudspeaker is generating sound in a room. At a certain point, the sound waves coming directly from the speaker (without reflecting from the walls) create an intensity level of 75.0 dB. The waves reflected from the walls create, by themselves, an intensity level of 72.0 dB at the same point. What is the total intensity level?

A runner finishes a 200-meter dash in 35 seconds. Let r represent any speed (in meters per second) faster than the runner's speed. a. Write an inequality that represents r. Then graph the inequality. b. Every point on the graph represents a speed faster than the runner's speed. Do you think every point could represent the speed of a runner? Explain.

The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams. a. Write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. b. A soccer ball weighs 423 grams. Due to wear and tear, the weight of the ball decreases by 16 grams. Is the weight acceptable? Explain.

A discounted amusement park ticket costs $12.95 less than the original price p. Write and solve an equation to find the original price.

Equation: ___ = 44

The original price of the ticket is$___.

Write the sentence as an inequality. Four is no less than the quotient of a number x and 2.1.

A subway ride for a student costs $1.25. A monthly pass costs$ 35. a. Write an inequality that represents the number of times you must ride the subway for the monthly pass to be a better deal. b. You ride the subway about 45 times per month. Should you buy the monthly pass? Explain.