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A teacher has 21 red pens. If the ratio of red pens to blue pens is 3:1 how many pens did she have total?
A city council fire brigade officer claims that it takes, on average 10.9 minutes to reach its destination in emergency calls. To check on this claim, the agency which licenses fire brigade service providers had them timed on 50 emergency calls, getting a mean of 10.3 minutes with a standard deviation of 0.8 minutes. At the level of significance of 0.05, does this constitute evidence that the figure claimed is too high?
The price-earnings ratio of a stock that sells for $46.75 per share and earns $4.25 per share is..?
What is 543672919374646289298471193937352626x8385628390292974625377472647289900746782773647737373737
A pharmaceutical firm has developed a nasal spray containing interferon, which it believes will limit the transmission of the common cold within families. In the general population, 15.1 percent of all individuals will catch a rhinovirus- caused cold once another family member contracts such a cold. The interferon spray was tested on 180 people, one of whose family members subsequently contracted a rhinovirus-caused cold. Only 17 of the test subjects developed similar colds.
a) At a significance level of 0.05, should Farooq conclude that the new spray effectively reduces transmission of colds?
b) What should it conclude at ∞ = 0.02?
c) On the basis of these results, do you think Farooq should be allowed to market the new spray? Explain.
An X-ray technician is taking readings from his machine to ensure that it adheres to federal safety guidelines. He knows that the standard deviation of the amount of radiation emitted by the machine is 150 millirems but he wants to take readings until the standard error of the sampling distribution is no higher than 25 millirems. How many readings should he take?
uncommon denominators that equal to 0
An elevator is 25m below the ground level and it ascends at the rate of 5m/min .find the time taken it to reach 50m above the ground.
Town Council decides to run a special summer children’s show to help promote tourism at the beach. They will set up a temporary stage and seating on the beach for the show. Tickets will be made available for both adults and children with the unusual situation of a child’s ticket being more expensive than that of an adult’s. You have been asked to analyse the information made available and report back with total profit and ticket sales data.



Child Adult
Ticket Price $12 $3
Expected Average Food and Beverage Purchase$4 $8
Expected Profit $10 $5

income from ticket sales is at least $900 and the income from food and beverages sales is at least $1 000.

Task Identifies the maximum profit available to Waihi Town Council
Identifies the number of adults’ and children’s tickets needed to be sold to maximise the profit.
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