Answer:if there is numbers then you would multiply then or divide them to find it
Step-by-step explanation:
<span>h > t, u < t
can be written together either of these two ways:
u < t < h
or
h > t > u
And it could be any of these 120 numbers:
210 310 320 321 410 420 421 430 431 432 510 520
521 530 531 532 540 541 542 543 610 620 621 630
631 632 640 641 642 643 650 651 652 653 654 710
720 721 730 731 732 740 741 742 743 750 751 752
753 754 760 761 762 763 764 765 810 820 821 830
831 832 840 841 842 843 850 851 852 853 854 860
861 862 863 864 865 870 871 872 873 874 875 876
910 920 921 930 931 932 940 941 942 943 950 951
952 953 954 960 961 962 963 964 965 970 971 972
973 974 975 976 980 981 982 983 984 985 986 987
</span>
Hi there!
![\large\boxed{f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%5E%7B-1%7D%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B4%7D%7B9%7D%20%7D%20%7D)
Find the inverse by replacing f(x) with y and swapping the x and y variables:
Isolate y by adding 4 to both sides:
Divide both sides by 9:
Take the cube root of both sides:
![y = \sqrt[3]{\frac{x+4}{9} }\\\\f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} }](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B4%7D%7B9%7D%20%7D%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B4%7D%7B9%7D%20%7D)
There's a bunch of them like if you simplify you could get 3/4.I'll give you some more.
Examples:14/16 21/24 28/32 and 35/40.
My brain was getting tired to think...but there's more.
Hope this helps :D
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
