Answer:
first option
Step-by-step explanation:
To obtain ( f ￮ g)(x) substitute x = g(x) into f(x) , that is
f(
)
= 
( multiply numerator/ denominator by 2x to clear the fraction
= 
= 
Box one ratios
Box two 35:2= 70:4
Answer:
(a) Test statistic is -2.85 and p-value is 0.0022
(b) Reject the null hypothesis. The population mean of dissolved oxygen content is not equal to 10 mg/L
Step-by-step explanation:
H0: mu equals 10
Ha: mu not equals 10
The test is a two-tailed test because the alternate hypothesis is expressed using not equal to
(a) Test statistic (z) = (sample mean - population mean) ÷ (sd/√n) = (9.14 - 10) ÷ (2/√44) = -0.86 ÷ 0.302 = -2.85
Cumulative area of the test statistic = 0.9978
p-value = 2(1 - 0.9978) = 2(0.0022) = 0.0044
(b) The critical value using 0.02 significance level is 2.422. For a two-tailed test, the region of no rejection of the test statistic lies between -2.422 and 2.422.
Conclusion:
Reject the null hypothesis because the test statistic -2.85 falls outside the region bounded by the critical values -2.422 and 2.422.
The population mean of dissolved oxygen content is not equal to 10 mg/L
Answer:
Approximately 76.5 mg.
Step-by-step explanation:
Given,
The initial quantity of the Bismuth-210, P = 233 mg,
Also, the rate of decay per day, r = 13 %
Thus, the quantity of the Bismuth-210 after 8 days would be,
Answer:
27.3
Step-by-step explanation:
The base of the triangle is,
√(12²-5²)
= √119 = 10.9
The area of the triangle,
5×10.9/2
= 109/4 = 27.25 ≈ 27.3
Answered by GAUTHMATH
