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Find the four roots of z⁴=-1


A certain group of welfare recipients receives relief goods with a mean amount of Php 500.00 per week. A random sample of 75 recipients is survived and found that the mean amount of relief goods they received in a week is Php 600 and a standard decision of Php. 50.00. Test the claim at 1% level of significance is not Php 500.00 per week and assume that the population is approximately normally distributed. Which of the following is correct null and alternative hypothesis, in symbol?


Patrick has assignments in 5 subjects. He can only do two assignments . In how many ways can do two assignments?

Patrick has assignments in 5 subjects he can only do two assignments in how many ways can he do two assignments

here are two histologic specimens of bone tissues. One of the specimens contains concentric lamellae. The other specimen is devoid of bone lamellae. What types of bone tissues are those?


How many 5 digit number can be formed from digits 0-6 if:



C. If one (1) is not to be used as the 1st digit and repetition is not allowed

Resistor consist of R1=4, R2= 4.5 R3= 12

Resistor R3 connected in parallel with R2 .


1 )draw a the circuit diagram

2 )calculate the voltage across R3 if the applied voltage is 12V .

3 ) calculate the current passing R1 and R 3




The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed.

a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 690?

b. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 690 mg?

c. Why is the probability in part A larger than part B? 


Illustrate the steps, each time on a number line, where you will explain to a Grade 6 class how numbers can be negative and positive


Use the case of mpho who use R5 and she buys a parker of chips for R8 at the tuck shop. The next day she brings R10 to the tuck shop and buys a lolly for R2. Show how her money goes up and down and where she ends up?

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