12/05/23

The Normal Distribution
The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and a standard deviation of 1.4 pounds.Consider a group of 1200 newborn babies:1. How many would you... more
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12/05/23

z-Scores and Area under the Curve
z-Scores and Area under the Curve A researcher collected data on adults using an intelligence test. The data for these adults were approximately normally distributed with the following mean and... more
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12/05/23

The​ half-life of a certain substance is 30 years. How long will it take for a sample of this substance to decay to ​80% of its original​ amount?
Need some help lol
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12/05/23

The Normal Distribution
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6.9 days and standard deviation of 1.7 days. Use your graphing calculator to answer the... more
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12/04/23

What equations do i uue for this?
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12/04/23

The decibel level of the sound of a subway train was measured at 104 dB. Find the intensity in watts per square meter (W/m2). (Give your answer in scientific notation, correct to one decimal place.)
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12/04/23

Let x be the amount of money a company spends on advertising in millions and let P be the profit in millions of dollars, where P = 320 + 20x - 2x^2.
a. What should they spend on advertising to maximize profit?b. What is the maximum profit?
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12/04/23

Kayla tosses a water balloon upward out of a window. Its height in meters is given by the equation: h = -4.9(t - 1)^2 + 6.5
a. What do you think t represents in the equation?b. How high does the balloon go?c. How long before the balloon hits the ground?d. At what height does Kay;a release the balloon?e. When will the... more
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12/04/23

25. Quadratic Problem
An over-zealous golfer hits a flop shot with a sand wedge to get out of the corner of a sand trap with an initial velocity of 45 feet per second. What is the maximum height that the golf ball will... more
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12/04/23

24. Quadratic Problems
A golfer tees off from the 11th hole and the ball is projected through the air. The path of a golf ball can be modeled using the function h(t) = .5(-9.8)t^2 + 45t, where h is the height pf the golf... more
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12/03/23

23. Quadratic Problems
A computer company keeps track of its monthly production and profit over three months. Here is the profit function P(x) = -x^2 +160x - 400, where the profit, P, is a function of x, the number of... more
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12/03/23

How do I begin to graph this polynomial function?

Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits the proper end behavior.P(x) = (2 − x)(x + 3)Sketch the graph of the polynomial function. Make... more
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12/03/23

How do I solve this?
11x^2 − 24xy + 4y^2 + 20 = 0
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12/03/23

Solve the equation, etc
1. Solve the equation 42x = 2x - 6. Enter every step.(10 points)2. Solve the equation log5(6x - 1) = 3. Enter every step.(10 points)3. Expand the expression . Enter every step. (10 points)
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12/03/23

Find inverse, etc
Cobalt -57 is used in medical testing and has a half-life of about 272 days, which means after 272 days, half of the Cobalt -57 has decayed to less radioactive and more stable form. The function... more
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12/03/23

Find the equation of Line A. If two lines are parallel, what must be true of their slopes?)
a. Line A passes through (0, -3) and (5, -1). Find the equation of Line A. b. Line B is parallel to Line A. Find a possible equation for Line B. (Hint: There are many possibilities. If two lines... more
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12/03/23

if tan(x)= -2/5 and cos(x) is positive what is tan(2x)
find using sum and difference identities
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12/02/23

Complex Numbers
Write the complex number in polar form with argument 𝜃 between 0 and 2𝜋.6 + 6i
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12/02/23

Function composition
"If f is a real function and f(x+1) = (x+1) f(f(2x-x2)), find f(2)".This was a multiple choice question, but is there a way to mathematically prove that the answer is 0?
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12/02/23

Find the component form of v, where u = 4i − j and w = i + 2j.
v = u - 4w
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12/02/23

Find the component form of v, where u = 2i − j and w = i + 2j.
v = u + 2w
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12/02/23

Quadratic Word Problems
Suppose that the equation p(x) = -2x^2+280x-1000, where x represents the number of items sold, describes the profit function for a certain business. How many items should be sold to maximize the... more
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12/02/23

Quadratic Word Problems
A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started from a height of 8 feet off the ground, determine the time it will take for the ball to hit... more
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12/02/23

Quadratic Word Problems
At a swim meet, Janet dives from a diving board. Her position above the water is represented by the equation h(t) = -16t^2+24t+40, where t represents the time in seconds at h(t) represents the... more
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12/02/23

When a baseball is hit by a batter, the height of the ball, h(t), at time t, is determined by the equation h(t) = -16t^2+32t+5.
At what time is the ball at a height of 13 feet?
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