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Hi, umm pls help1/6(x-5)=1/2(x+6), solve for x And can you please explain
General
2 months ago
Find the distance between (3,-3) and (2,7)
General
2 months ago
PLZ HELP ASAP! WILL GIVE BRAINLIEST!3. Use rigid motions to explain whether the figures are congruent. ΔABC is the pre-image. ΔA’B’C’ is the image. Be sure to describe specific rigid motions in your explanation. Hint: There are two transformations represented, in a distinct order. A specific description of the rigid motion would include the following information:- Translation: A description of vertical and horizontal change (the translation vector)- Reflection: Identify the line of reflection in equation format- Rotation: Identify the point of rotation, the direction, and degree of rotation.
General
2 months ago
Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect defects are caused by defective wires (35%), improper connections (13%), or poorly welded wires (52%). a) Find the probability that a failure is due to loose keys. b) Find the probability that a failure is due to improperly connected or poorly welded wires.
General
2 months ago
A major corporation is building a 4325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by(25t2 + 150t + 100)/(t2 + 6t + 24)(a) Find the rate at which Glen Cove's population is changing with respect to time.(b) What will be the population after 10 years? (Round your answer to the nearest person.)(c)At what rate will the population be increasing when t = 10? (Round your answer to the nearest integer.)
General
2 months ago
The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the cone, and h is the height of the cone. Use linearization to estimate the change in the volume when R changes from R = 1.5 inches to R = 1.6 inches, and h changes from h = 3 inches to h = 3.3 inches. Give your answer to two decimal places.
General
2 months ago
The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.06 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel. (a) What is the probability that there are no surface flaws in an auto's interior? (b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws? (c) If 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws? Round your answers to four decimal places (e.g. 98.7654).
General
2 months ago
An integer N is to be selected at random from {1, 2, ... , (10)3 } in the sense that each integer has the same probability of being selected. What is the probability that N will be divisible by 3? by 5? by 7? by 15? by 105? How would your answer change if (10)3 is replaced by (lO)k as k became larger and larger?
General
2 months ago
Anton and his friends are discussing a study he read about in his developmental psychology class. In the study, the researcher made the claim that most middle school students who are bullied have low self-esteem. Clarissa questions the study, saying, "I am not sure that I am convinced. I am not sure you can really measure being bullied." Quinn also questions the study, saying, "Which middle school students did they study? I am curious if they included both private and public school students." Manish also is curious about the study, asking, "I wonder how strong the relationship is between bullying and self-esteem. Could you predict one from the other?" Anton is concerned that the researcher made a Type I error. What does that mean?
General
2 months ago
A hospital obtains 40% of its flu vaccine from Company A, 50% from Company B, and 10% from Company C. From past experience, it is known that 3% of the vials from A are ineffective, 2% from B are ineffec- tive, and 5% from C are ineffective. The hospital tests five vials from each shipment. If at least one of the five is inef- fective, find the conditional probability of that shipment’s having come from C.
General
2 months ago
Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his original amount of savings left. What was the cos of the refrigerator?
General
2 months ago
What is the solution and justification to the following -4z>-64.4
General
2 months ago
4cos^2(theta)+2sin(theta)=2
General
2 months ago
3. Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, the classes sold 60 items and earned $88.20 for their school. Write and solve a system of equations that model the problem. Show all your work.
General
2 months ago
Suppose a spider moves along the edge of a circular web at a distance of 3 cm from the center.?(a) If the spider begins on the far right side of the web and creeps counterclockwise until it reaches the top of the web, approximately how far does it travel? Distance: ______units(b) If the spider crawls along the edge of the web a distance of 1 cm, approximately what is the angle formed by the line segment from the center of the web to the spider's starting point and the line segment from the center of the web to the spider's finishing point? Angle: _______degrees
General
2 months ago
A rectangular field will have one side made of a brick wall and the other three sides made of wooden fence. Brick wall costs 10 dollars per meter and wooden fence costs 20 dollars for 4 meters. the area of the field is to be 2400m^2. What length should the brick wall be to give the lowest total cost of wall plus fence?
General
2 months ago
A newborn baby has extremely low birth weight if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was 810 grams. This sample mean is an unbiased estimator of the mean weight m in the population of extremely low birth weight babies. This means that:a. when the sample is a simple random sample from the population, the mean of the sampling distribution of the sample mean is the same as the population mean.b. as we take larger and larger samples from this population the sample mean, x-bar, will get closer and closer to the population mean.c. in many samples from this population, the many values of x-bar will have a distribution that is close to Noral.d. in many births from this population the many values of x-bar will be equal to m.
General
2 months ago
Late shows Some TV shows begin after their scheduled times when earlier programs run late. According to a network’s records, about 3% of its shows start late. To find the probability that three consecutive shows on this network start on time, can we multiply (0.97)(0.97)(0.97)? Why or why not?
General
2 months ago
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?
General
2 months ago
It takes Carl 45 minutes to drive to work using two roads. She drives 32 mph on a small road for 1/2 hour. Then she drives 56 mph on a small road for 1/4 hour. How far does she travel for work?
General
2 months ago
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