01/30/24
Models and Applications
ssuming the speed of sound is 338 m/s ...a) How far away in km did the lighting strike if it takes 4.8 s to hear the thunder after the flash? distance = km b) How far away is the canyon wall if...
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01/30/24
A local county has an unemployment rate of 4.4%. A random sample of 20 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places.
a) Find the probability that exactly 3 in the sample are unemployed.
01/29/24
Trig help-urgent
Solve the following inequality. Express the exact answer in interval notation, restricting your attention to 0 ≤ x ≤ 2𝜋.tan(x) ≥ 1
01/29/24
Urgent calculus help
Solve the following inequality. Express the exact answer in interval notation, restricting your attention to −𝜋 ≤ x ≤ 𝜋.
sin2(x) < 1/2
01/29/24
midterm help-Calculus help, urgent
Solve the following inequality. Express the exact answer in interval notation, restricting your attention to −𝜋 ≤ x ≤ 𝜋.
sin2(x) < 3/4
01/29/24
need help determining the odds of something
lets say there are unlimited barrels full of different fruits, each barrel has 100 fruits in it. 5% of all the fruits are pearsthere is also a 1/25650 chance of any fruit to be goldenwhat are the...
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01/28/24
Evaluate the integral 4secxtanx from -pi/3 to pi/3
Definite Integrals and Fundamental Theorem of Calculus
01/28/24
Applications of Simultaneous Equations in Real-World Contexts
1. The giant pandas Kai Kai and Jia Jia reside at the River Safari. The sum of their ages when they first arrived in Singapore in 2013 was 11 years. In 2022, Kai Kai will be three times as old as...
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01/28/24
Solving Simultaneous Linear Equations Using Algebraic Methods
A computer animation shows a cat moving in a straight line. Its height, a metres, above the ground, is given by 8s-3h=-9 where s is the time in seconds after it starts moving. In the same...
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01/27/24
Statistics and Probability
According to a college survey, 22percent of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16.
01/27/24
Direct and inverse proportions
A machine which manufactures ice needs to be run for 10 minutes to warm up before the production of ice begins. The mass, in tonnes, of ice produced is directly proportional to the number of hours...
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01/27/24
y=2x-4 and y=x-3 graphically method
01/27/24
Direct and inverse proportions
1. Kate makes a donation to a charitable organisation on a monthly basis. Her monthly donation is directly proportional to the square of her monthly savings. If she saves $900 and $1200 in January...
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01/27/24
Direct and inverse proportions
The weight of an object is inversely proportional to the square of the distance from the object to the centre of the earth. An astronaut weighs 800 newtons (N) at sea level (6500 km from the centre...
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01/27/24
Homework Question #2
The Middle Town Performing Arts Theater is planning a new show. The fixed cost is estimated to be $400,000 for the season. The variable cost is $10 per ticket. The box office has set the ticket...
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01/26/24
Direct and inverse proportions
1. If y is inversely proportional to x2 and y=5 when x=4, find the value of y when x=2.2. If y is inversely proportional to r2 +1 and y=32 when r=1, find the value of y when r=73. If u is inversely...
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