Search & Filtering
(12) Solve the pair of simultaneous equations below:-
4a − 3b = 18
a + 2b = -1
(13) The molar heat capacity of a solid compound is given by c = a + bt
Given that when and that when c = 10 when t = 50 and that c = 13 when t = 80 Find the values of a and b.
(ALL WORKING OUTS TO BE SHOWN)
Find the area in each of the following.
a. 𝑧 = −1.47 and 𝑧 = 1.64
b. 𝑧 = −0.44 and 𝑧 = 1.82
c. The region where 𝑧 > 1.92
d. The region where 𝑧 < 2.22
2. A biologist found the wingspans of a group of monary butterflies to be normally
distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of
the butterflies had a wingspan
a. less than 48.5 mm?
b. between 50 and 55 mm?
3. A highway study of 8000 vehicles that passed by a checkpoint found that their speeds
were normally distributed, with a mean of 61 mph and a standard deviation of 7 mph.
a. How many of the vehicles had a speed of more than 68 mph?
b. How many of the vehicles had a speed of less than 40 mph?
Given the quantic equation below, solve it to find the values of x. (3pts)
2𝑥5 − 6𝑥3 − 4𝑥2 - 2𝑥 + 4 = 0
Assume you are the manager of a local hospital. You begin the year in January with 150 boxes of inventory, each at a cost of $1,000. Your organization had the following inventory changes during the year: You purchased 110 additional boxes in March at a cost of $1,200 each, purchased an additional 230 boxes in August at a cost of $1,400 each, and used 400 boxes during the year. Calculate the value of the ending inventory and the value of the inventory used for the year using both the FIFO and LIFO methods
I). For larger datasets, a linear search may be inadequate or perhaps inefficient. What other search method can be employed to return the maximum number from a set of elements in an array. Explain your answer.
supply price = 50+q/2 demand price 150-q/5 find producer and consumer surplus
You have the yellow game piece, your friend has the red game piece, and your brother has the blue game piece. Read the rules of the board game and then answer the questions.Rules • You play counterclockwise. • If you land on red, then you go back 1. • If you land on green, then you advance 1. • If you land on yellow, then you pick a card. a. You roll 3. What must you do next? How do you know? b. Your brother picks a card at the end of his turn. On what colors might he have landed? Explain. c. Your friend rolls 2. What else must your friend do? How do you know? d. Based on the colors already shown on the board, what color should the roll-again box be? Justify your answer.
A high school math teacher has a few learners in her classes who have learning disabilities that effect various aspects of their mat performance. The teacher has planned a new instructional unit on probability and wants to make sure that all the learners this learning disabilities will be able to fully participate in unit activities. the teacher can best help ensure this outcome by doing one of the following things: 1. preparing a selection of alternative activities that require less advanced math skills for the learners with learning disabilities. 2. asking the special education teacher to review the planned activities and using adaptions suggested for each learner who has learning disabilities. 3. having learners with learning disabilities work on unit activities with a peer partner who has strong math skills. 4. Trying a few sample activities with learners who have learning disabilities before beginning the unit and adjusting as needed.
If one sound had a decibel reading of 3.2, what would the reading of one that was 24 times as intense?
D=10log(I/10-12).
I can't figure this homework question out please provide a solution. Grade 12 question.
8. (a) Give one example each from the real world for the following, along with justification,
for your example: (6)
(i) A non-linear model
(ii) A stochastic model
(iii) A linear, deterministic model
