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Find the distance betwen the folowing points.a. Point A(2, 3) and point B(6, 6)b. A = 2 + 3i and B = 6 + 6ic. A = −1 + 5i and B = 5 + 11id. A = 1 − 2i and B = −2 + 3ie. A = 12 − 12 i and B = − 23 + 13 i
General
4 months ago
Gunter, the weightlifter, can lift a 230.0-kg barbell overhead on Earth. Theacceleration due to gravity on the sun is 274 m/s2. a) Would the barbells beheavier on the sun or on the earth? b) How much (in newtons) would thebarbells weigh on the sun (if it were possible to stand on the sun withoutmelting)?
General
4 months ago
A particular red Oak leaf measures 6 inches from tip to stem. In a scale drawing the red oak leave measures 1.5 inches from tip to stem. Using the same scale, and drawing of a post oak leave measures 0.8 inch from tip to stem. What is the actual length of the post oak leaf?
General
4 months ago
Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.
General
4 months ago
Let X be the number of purchases that Fred will make on the online site for a certain company (in some specified time period). Suppose that the PMF of X is P(X = k) = e-\lambda?k/k! for k = 0, 1, 2,…. This distribution is called the Poisson distribution with parameter ?, and it will be studied extensively in later chapters.(a) Find P(X ? 1) and P(X ? 2) without summing infinite series.(b) Suppose that the company only knows about people who have made at least one purchase on their site (a user sets up an account to make a purchase, but someone who has never made a purchase there doesn't appear in the customer database). If the company computes the number of purchases for everyone in their database, then these data are draws from the conditional distribution of the number of purchases, given that at least one purchase is made. Find the conditional PMF of X given X ? 1. (This conditional distribution is called a truncated Poisson distribution.)
General
4 months ago
Which Expression is equivalent to 144 raised to the three half power expression is equivalent to 144 raised to the three half power
General
4 months ago
Find cos(−2835°) and sin(−2835°). Identify the measure of the reference angle
General
4 months ago
Expres each complex number in polar form. State the arguments in radians rounded to the nearest thousandth.a. 2 + 5ib. −6 + i
General
4 months ago
You are 36 miles from a friend. You both start riding your bikes toward each other at the same time. You travel 15 miles per hour and your friend travels 3 miles slower. How far will you travel before you meet your friend?
General
4 months ago
Write a single or compound inequality for each scenario.a. The scores on the last test ranged from 65% to 100%.b. To ride the roller coaster, one must be at least 4 feet tall.c. Unsafe body temperatures are those lower than 96℉ or above 104℉.
General
4 months ago
A normally distributed population has a mean of 475 and a standard deviation of 60. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 435.b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 501.
General
5 months ago
A flagpole that is 40ft in height casts a shadow that is 25ft in length. If a nearby building is 200ft tall, and the sun hits it at the same angle as the tree, what is the length of the building’s shadow?
General
5 months ago
QUICK HELP: The population of the Tallahassee metropolitan area was 385,639 at the end of 2017 with a growth rate of 2.73%. Using the exponential growth formula, y=b(1+r)^t, sketch the graph that represents the situation. Label the axes, y-intercept and the point that represents the projected population at the end of 2025.
General
5 months ago
Can anyone answer this question for me and also if you’re able to give me the explanation on how to solve it also. PLEASE.
General
5 months ago
Wendy picks a marble at random, puts it back, and then picks another marble at random.Are these two events dependent or independent?dependentindependent
General
5 months ago
A random sample of 85 group leaders, supervisors, and similar personnel at General Motors revealed that, on average, they spent 6.5 years in a particular job before being promoted. The standard deviation of the sample was 1.7 years. Construct a 95% confidence interval.
General
5 months ago
Which of these is the algebraic expression for "3 times the sum of 2 and y?" (1 point) 3(2 + y) 3 ⋅ 2 + y 2 + 3 ⋅ y 2(3 + y)
General
5 months ago
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!!!Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents. a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour b. f(g(x)) = 4x, which represents the number of tickets Aurora sold per hour c. f(g(x)) = 16x, which represents the money Aurora made in dollars per hour d. f(g(x)) = 16x, which represents the number of tickets Aurora sold per hour
General
5 months ago
P(x)P(x)P, (, x, )is a polynomial. P(x)P(x)P, (, x, )divided by (x+7)(x+7)(, x, plus, 7, )has a remainder of 555. P(x)P(x)P, (, x, )divided by (x+3)(x+3)(, x, plus, 3, )has a remainder of -4−4minus, 4. P(x)P(x)P, (, x, )divided by (x-3)(x−3)(, x, minus, 3, )has a remainder of 666. P(x)P(x)P, (, x, )divided by (x-7)(x−7)(, x, minus, 7, )has a remainder of 999. Find the following values of P(x)P(x)P, (, x, ). P(-3)=P(−3)=P, (, minus, 3, ), equals P(7)=P(7)=P, (, 7, ), equals
General
5 months ago
Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 alga were obtained and each was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria.Without relying on any previous knowledge Ian wanted to estimate the proportion that were cyanobacteria with a margin of error of at most 0.01 in a 99% confidence interval. How large a sample size would be required?
General
5 months ago
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