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The equation of a parabola is (y−3)2=20(x+1) . What is the equation of the directrix of the parabola? Enter your answer in the box.THE EQUATION PLEASE. NOT the answer.
General
4 months ago
Use the elimination method to solve the system of equations. Choose the correct order pair 6x+2y=8 12x+y =22
General
4 months ago
David exercises every day. He spends 40% of his exercise time on the treadmill. If he uses the treadmill 40 minutes each day, how many minutes does he exercise each day?
General
4 months ago
Can you plz help me in number 6 part a and b explain how you did it plz and plz answer by 5th grade level thx
General
4 months ago
I really don’t get this please help??
General
4 months ago
what is the first step in solving this equation 8x - 6 = 10
General
4 months ago
Choose all the lengths that are equal to 3 yards 16 inches.A: 124 in.B: 4 yd 4 in. C: 3 yd 1 1/2 ft.D: 2 yd 52 in. E: 10 ft 4 in.
General
4 months ago
A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 63t + 4, where t is measured in seconds and h is the height in feet.a) What is the height of the ball after 3 seconds?b) What is the maximum height of the ball? Round to the nearest foot.c) When will the ball hit the ground?d) What domain makes sense for the function?please show ur work !!!
General
4 months ago
URGENT!!!PLEASE HELP 30PTS Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 8x - 10 = 18 A) (x - 8)2 = 14 B) (x - 4)2 = 44 C) (x - 8)2 = -14 D) (x - 4)2 = -44
General
4 months ago
Fine -4A+6B (Picture provided)
General
4 months ago
Salaries of 39 college graduates who took a statistics course in college have a mean, x, of $ 61,600. Assuming a standard deviation, sigma, of $17,362, construct a 95% confidence interval for estimating the population mean, μ.
General
4 months ago
The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probability that the sample mean will be larger than 1224? b) What is the probability that the sample mean will be less than 1230? c) What is the probability that the sample mean will be between 1200 and 1214? d) What is the probability that the sample mean will be greater than 1200? e) What is the probability that the sample mean will be larger than 73.46?
General
4 months ago
The following data represent the pH of rain for a random sample of 12 rain dates. a normal probability plot suggest the data could come from a population that is normally distributed. a boxplot indicates there are no outline. complete part A through d.a)determine a point estimate for the population mean. 5.20, 5.02, 4.87, 5.72, 4.57, 4.76, 4.99, 4.74, 4.56, 4.80, 5.19, 4.68b)construct and Interpret a 95% confidence interval for the mean pH of rainwater. select the correct choice below and fill in the answer boxes to complete your choice.A) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].B)there is a 95% chance that the true mean pH of rain water is between [ ] & [ ].C) there is 95% confidence that the population mean pH of rain water is between [ ] & [ ].c) construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct Choice below and fill in answer boxes to complete your choice.A)there is 99% confidence that the population mean pH of rain water is between [ ] & [ ].B)there is a 99% chance that the true mean pH of rain water is between [ ] & [ ].C)if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].d) what happens to the interval as the level of confidence is changed? Explain why is a logical result.-As the level of confidence increases l, the width of the interval[ increases, decreases] this makes sense since the [ point estimate, sample size, margin of error] [decreases, increases]
General
4 months ago
The function f(x) =4x+3 represents the length of a rectangle. The function g(x)=2x-5 represents the width of the rectangle.Use (f•g)(4) to determine the area of a rectangle
General
4 months ago
Tiffany is constructing a fence around a rectangular tennis court. She must use exactly 300 feet of fencing. The fence must enclose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 80 feet and the width must be at least 40 feet. Tiffany wants the area enclosed by the fence to be as large as possible in order to accommodate benches and storage space. What is the optimal area, in square feet?
General
4 months ago
When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 49 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 6000 batteries, and 1% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
General
4 months ago
A woman decides to have children until she has her first boy or until she has four children, whichever comes first. Let X = number of children she has. For simplicity, assume that the probability of a boy is .5 for each birth. (a) The simple events in the simple space are {B, GB, GGB, GGGB, GGGG}, where we use B for boy and G for girl. For instance, one simple event is GB, because the woman quits once she has a boy. Find the probability for each of the simple events in the sample space.
General
4 months ago
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y=4x-x^2 y=3 about x=1
General
4 months ago
A baseball team has home games on Friday and Saturday. The two games together earn $4056.00 for the team. Friday's game generates $1144.00 less than Saturday's game. How much money was taken in at each game?
General
4 months ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 12 hours of burning, a candle has a height of 19.8 centimeters. After 27 hours of burning, its height is 18.3 centimeters. What is the height of the candle after 22 hours?
General
4 months ago
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