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Suppose that the average outstanding credit card balance for young professionals is Php11,200 with standard deviation of Php 2,600. In simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds Php12,300?
V =((x,y,0)T ∈R3 :x,y∈R).Using the definition of the subspace, show that V is a subspace of the vector space R3.Using the definition of the subspace, show that V is a subspace of the vector space R3.
Laverny tosses an unbiased coin. He receives P100 if a head appears and he pays P40 it a tail appears Find the expected value and the variance of his gain.
a) given the following n = 74, p= 5/74,
Po = 10% or
0.10 Formulates the null and alternative hypothesis, identify the test statistic and write the critical region if Po ≠ 0.10.
b) given the following n = 60, P=50/60 , Po= 0.75.
Formulates the null and alternative hypothesis, identify the test statistic and write the critical region if Po> 0.75
it is a set or an array of things of observation whether arranged or not arranged in a particular order
Consider the function, f(x)=2x³ - 24x² -7. Find the intervals of x where f(x) is
increasing or decreasing.
Find the coordinates of the points on the curve 𝑦 = 3𝑥³ − 2𝑥² − 12𝑥 + 2 where
the normal is parallel to the line 𝑦 =− 𝑥 + 1.
according to newton's law of cooling the rate at which a substance cools in moving air is proportional to the difference between the temperature of the substance and that of the year if the temperature of the year is 298 k a and the substance cools from 478 k to 428 k in 20 minutes. find when the temperature will be 405 k
the tangent to the curve 𝑦 = 𝑥² − 5𝑥 − 2 at the point (1,-6) intersects the normal to
the same curve at the point (2, -8) at point P . find the coordinates of P
A researcher used a developed problem solving test to randomly select 50 grade 6 pupils. In this sample,
x=80. The mean and the standard deviation of the population used in the standardization of the test were 75 and 15, respectively. Test the hypothesis that the sample mean differ significantly from the population mean. Use level of significance of 0.05. The z value is 1.96.
