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MATH SOLVE
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There are 40 members in a food club. The Venn diagram below shows how many members like vegetables, fruit, both, or neither. Complete the following two-way frequency table.
General
4 months ago
Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1000, 5000, and 10000, with probabilities 0.83, 0.10, 0.05, and 0.02, respectively. A particular company offers a $500 deductible policy. If the company wishes its expected profit to be $100, what premium amount should it charge?
General
4 months ago
. In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. (a) If all components are different, how many different designs are possible? (b) If seven components are identical to one another, but the others are different, how many different designs are possible? (c) If three components are of one type and identical to one another, and four components are of another type and identical to one another, but the others are different, how many different designs are possible?
General
4 months ago
Which expression is equal to 2√ -28?4i√7−4i√74√7i−4√7I found the answer it's 4i√7
General
4 months ago
twice the sum of a number and 7 is equal to three times the difference of the number and 6. find the number
General
4 months ago
Which expressions are polynomials?Select each correct answer.
General
4 months ago
Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)what is the probability that at least one of the three children is a girl.
General
4 months ago
When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B (obviously some had both impurities). Suppose a well is randomly selected from those in the county. Let X: The number of impurities found in the well. Find the probability distribution of X.
General
4 months ago
Assume that trees are subjected to different levels of carbon dioxide atmosphere with 8% of the trees in a minimal growth condition at 350 parts per million (ppm), 11% at 440 ppm (slow growth), 48% at 560 ppm (moderate growth), and 33% at 640 ppm (rapid growth). What is the mean and standard deviation of the carbon dioxide atmosphere (in ppm) for these trees? The mean is ppm. [Round your answer to one decimal place (e.g. 98.7).] The standard deviation is ppm. [Round your answer to two decimal places (e.g. 98.76).]
General
4 months ago
The law of cosines is used to find the value of m. To the nearest whole number, what is the value of m?
General
4 months ago
Succulent Citrus produces orange juice and orange concentrate. This year the company anticipates a demand of at least 11,000 quarts of orange juice and 1,500 quarts of orange concentrate. Each quart of orange juice requires 10 oranges, and each quart of concentrate requires 50 oranges. The company also anticipates using at least 260,000 oranges for these products. Each quart of orange juice costs the company 50¢ to produce, and each quart of concentrate costs $2.00 to produce. How many quarts of each product should Succulent Citrus produce to meet the demand and minimize total costs?
General
4 months ago
Let f={(-1, 4),(1, 9),(4, 0)} and g={(-1, -8),(2, -7),(4, 8),(5, -9)}. Find g/f and state its domain.
General
4 months ago
The Sonoma Apple Products Company purchases apples from local growers and makes applesauce and apple juice. It costs $0.80 to produce a jar of applesauce and $0.60 to produce a bottle of apple juice. The company has a policy that at least 20 percent but no more than 60 percent of its output must be applesauce. The company wants to meet but not exceed the demand for each product. The marketing manager estimates that the demand for applesauce is a maximum of 5,000 jars, plus an additional 3 jars for each $1 spent on advertising for applesauce. The maximum demand for apple juice is estimated to be 4,000 bottles, plus an additional 5 bottles for every $1 spent on advertising for apple juice. The company has $16,000 to spend on producing and advertising its two products. Applesauce sells for $1.75 per jar, and apple juice sells for $1.75 per bottle. Formulate a linear optimization G2015 David Czerwinski BUS 190 model to help the company determine how many units of each product to produce, and how much advertising to spend on each product, in order to maximize profit.
General
4 months ago
What is the cosine ratio of angle PRQ?
General
4 months ago
Claudia bought 2 filing cabinets and 4 cupboards. A filing cabinet costs 3 times as much as a cupboard. She paid 800 altogether. What was the cost of the cupboard.
General
4 months ago
Provide reasons for the statements. Given: ∠1 and ∠3 are vertical angles. Prove: ∠1 ≅ ∠3 . Statement Reason1. ∠1 and ∠3 are vertical angles :Given2. ∠1 and ∠2 form a linear pair.∠2 and ∠3 form a linear pair.: Definition of linear pair3. ∠1 and ∠2 are supplementary.∠2 and ∠3 are supplementary. :4. m∠1 + m∠2 = 180˚m∠2 + m∠3 = 180˚ : 5. m∠1 + m∠2 = m∠2 + m∠3: 6. m∠1 = m∠3 :7. ∠1 ≅ ∠3 :
General
4 months ago
Suppose that a box contains 45 light bulbs, of which 36 are good and the other 9 are defective. Consider randomly selecting three bulbs without replacement. Let E denote the event that the first bulb selected is good, F be the event that the second bulb is good, and G represent the event that the third bulb selected is good. (a) What is P(E)?(b) What is P(F|E)?(Round your answer to three decimal places.) (c) What is P(G|E ∩ F)?(Round your answer to three decimal places.) (d) What is the probability that all three selected bulbs are good? (Round your answer to three decimal places.)
General
4 months ago
Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating students is randomly chosen. In words, define the random variable X. List the values that X may take on. Give the distribution of X. X ~ _____(_____,_____) How many are expected to attend their graduation? Find the probability that 17 or 18 attend. Based on numerical values, would you be surprised if all 22 attended graduation? Justify your answer numerically.
General
4 months ago
Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who have not heard the news. (a.) Formulate a differential equation and initial condition for y(t), the number of people who have heard the news t days after it has happened. No one has heard the news at first, so y(0)=0. The "time rate of increase in the number of people who have heard the news is proportional to the number of people who have not heard the news" translates into the differential equation
General
4 months ago
You look at the track of how many 2-point baskets and 3-point baskets a team makes in abasketball game. The team misses all the 1-point baskets and still scores 54 points. The equation2x + 3y = 54 models the total points scored, where x is the number of 2-point baskets made and yis the number of 3-point baskets made.a) Find the interceptsb) Graph the equationc) Explain what the interepts meanPls help
General
4 months ago
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