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A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 60^\circ60 ∘ 60, degrees. What is the length of the arc?
General
7 months ago
Consider the following binomial experiment. A company owns 4 machines. The probability that on a given day any one machine will break down is 0.53. What is the probability that at least 2 machines will break down on a given day?a) 0.6960b) 0.5398c) 0.8638d) 0.0225e) 0.5806
General
7 months ago
In a test of a printed circuit board using a random test pattern, an array of 16 bits is equally likely to be 0 or 1. Assume the bits are independent. (a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432). (b) What is the probability that all bits are 0s? Round your answer to six decimal places (e.g. 98.765432). (c) What is the probability that exactly 8 bits are 1s and 8 bits are 0s? Round your answer to three decimal places (e.g. 98.765).
General
7 months ago
Consider the Pythagorean Identity cos 2 ( θ ) + sin 2 ( θ ) = 1 . Divide both sides of this identity by cos 2 ( θ ) and simplify the resulting equation. What is the result? cos 2 ( θ ) + sin 2 ( θ ) = 1 cot 2 ( θ ) + 1 = csc 2 ( θ ) cos ( θ ) ⋅ sec ( θ ) = 1 1 + tan 2 ( θ ) = sec 2 ( θ )
General
7 months ago
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and a standard deviation of 5 cm, what should be the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet?
General
7 months ago
Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteering for the population of parents of school-aged children. (Round your answers to three decimal place
General
7 months ago
Pete drove 224 miles in 4 hours on saturday. If he drives at the same rate on Sunday, how long would it take him to drive 490 miles?
General
7 months ago
A copy machine makes 60 copies per minute A second copy machine makes 80 copies per minute. The second machine starts making copies 2 minutes afterthe first machine starts Both machines stop making copies 8 minutes after the first machine started. Together, the 2 machines made how many copies?
General
7 months ago
PLEASE answer ASAP!!! Need an A!!!1. The following is a graph of a function of x, which is the interval(s) on which the function is increasing? (first image)A. (0, -9.5)B. (-∞, -2) ∪ (0.6,∞)C. (-2, 0.6)D. (-∞, 0) ∪ (-9.5, ∞)2. The zeroes of a polynomial function are 1/2, -4, and -1. What are the factors?3. Which describes the end behavior of the polynomial function? (second and third image)
General
7 months ago
Two sides of a rectangle are x - 7 and 2x + 1. Write an expression that represents the perimeter of this rectangle.
General
7 months ago
NEED GEOMETRY HELP PLEASESee picture for question (need answer & explanation)
General
7 months ago
5(x+4)+10-2x+3(2x+9)
General
7 months ago
Mrs Jenkins has 48 paint brushes and 60 tubes of paint he is going to put an equal number of paint brushes into each cup there will be no supplies leftover
General
7 months ago
Eve collected 4 5/6 pounds of newspaper for the recycling drive. Jonah collected 9 1/3 times as much newspaper as Eve. How many pounds of newspaper did Jonah collect?Write your answer as a fraction or as a whole or mixed number.
General
7 months ago
A student believes that no more than 20% (i.e., (less than or equal to) 20%) of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students in the sample received A's.a. State the null and alternative hypotheses.b. Using the critical value approach, test the hypotheses at the 1% level of significance.c. Using the p-value approach, test the hypotheses at the 1% level of significance.Below are the answers. I need help on how these are found with any and all proofs/formulas please!!a. H0: P (less than or equal to) 0.2Ha: P > 0.2b. Do not reject H0; test statistic Z = 1 < 2.33c. Do not reject H0; p-value = 0.1587 > 0.01
General
7 months ago
The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. What is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week? (Round your answer to four decimal places.)P(X greaterthanorequalto 5) = __.
General
7 months ago
A catalog company promises to deliver online orders within 3 days of the order being placed. Follow-up calls were made to randomly selected customers to see whether their orders arrived on time (within 3 days). A 95% confidence interval for percentage of on-time arrival is 88% +/- 6%. What does this mean? Are these conclusions correct? Explain. a) 95% of all random samples of customers will show that 88% of orders arrive on time. b) 95% of all random samples of customers will show that 82% to 94% of orders arrive on time. c) we are 95% sure that between 82% and 94% of the orders placed by the sampled customers arrived on time. d) on 95% of the days, between 82% and 94% of the orders will arrive on time.
General
7 months ago
Choose the model that represents the function
General
7 months ago
suppose that during one period of extreme cold the average daily temp decreased 1 1/2 Fahrenheit each day how many days did it take for the temp to decrease by 9 degrees Fahrenheit for barrow Alaska
General
7 months ago
Length of the fence of a trapezium shaped field ABCD is 120meter.If BC=48m,CD=17m and AD=40m,find te area of this field.Sde AB is perpendicular to the parallel side AD and BC
General
7 months ago
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