Topic
Q:
\( \frac{11}{5}+\frac{4}{21} \) of \( 42-\frac{18}{5} \div \frac{27}{45} \)
Q:
The annual rainfall in a certain region is approximately normally distributed with mean 41.3 inches and
standard deviation 5.6 inches. Round answers to the nearest tenth of a percent.
W) What percentage of years will have an annual rainfall of less than 43 inches? 62.6
What percentage of years will have an annual rainfall of more than 38 inches?
w) What percentage of years will have an annual rainfall of between 37 inches and 42 inches?
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Q:
Approximate the area under the graph of \( f(x) \) and above the \( x \)-axis using \( n \) rectangles.
\( f(x)=25-x^{2} \) from \( x=-5 \) to \( x=5 ; n=2 \); use midpoints
A. 62.5
B. 93.75
C. 187.5
D. 10
Q:
o. \( 5 x^{3}-3-2 x^{3} \)
q. \( x-9 x \)
r. \( 6 x y^{2}+2 x^{2} y-x y^{2}+3 x^{4} \)
s. \( 2 x^{2}-6 x+3 x+4 x^{2} \)
t. \( \frac{9}{7} x^{3} y-2 x y^{3}+\frac{1}{7} y x^{3} \)
u. \( 5 x^{3}+6 x^{3}+4 \)
v. \( 2 m n^{2}-3 m^{2} n-5 m^{2} n^{2}+4 m n^{2} \)
w. \( 6 x^{4}-3 x^{4}+7 \)
x. \( \frac{5}{4} x^{3}-\frac{3}{5} x^{3}+5 x^{3} \)
y. \( 6 x^{2}+5 x y^{2}+2 x^{2}-3 x y^{2} \)
Q:
Which of the following statements are TRUE about the normal distribution? Check all that apply.
The area to the left of a z-score plus the area to the right of that same z-score will always equal 1 .
A data value with z-score \( =-1.5 \) is located 1.5 standard deviations below the mean.
The Empirical Rule only applies when a value is exactly 1,2 , or 3 standard deviations away from the
mean.
A z-score is the number of standard deviations a specific data value is from the mean of the
distribution.
Q:
Oorweeg die getalpatroon:
3.1.1 Toon aan dat hierdie reeks getalle 'n lineêre getalpatroon voorstel.
3.1.2 Bepaal die algemene reēl \( \left(T_{n}\right) \) van hierdie getalpatroon.
3.1.3 Bepaal watter term in die getalpatroon gelyk sal wees aan -61.
3.1.4 Bepaal \( T_{5} \)
3.1.5 Bepaal \( T_{5} \) en \( T_{55} \).
Q:
Los op vir \( x \) :
\( \begin{array}{ll}2.1 .1 & 5(x+3)^{2}=125 \\ 2.1 .2 & 7 x^{2}=x \\ 2.1 .3 & 4^{x}=0,125\end{array} \)
Q:
20. Бір түзуден 10 нүкте, ал оған параллель екінші бір түзуден 8 нүкте
белгіленген. Белгіленген нүктелердін кемінде екеуі арқылы өтетін, осы екі
түзуден баска тағы канша түзу бар?
A) 100
B) 160
C) 120
D) 80
E) 40
Q:
The exponential model \( A=177.2 e^{0.013 t} \)
describe the population, \( A_{1} \) of a country
in millions, \( t \) years after 2003 . Use the
model to answer the following questions:
a) what was the population of the
country in 2003 ?
b) By what percentage is the papulation
of the country increasing each year?
Q:
Find the general solution for the differential equation.
\( y \frac{d y}{d x}=x^{2}-7 x \)
A. \( y=\frac{2}{3} x^{3}-7 x^{2}+C \)
B. \( y=\frac{1}{3} x^{3}-7 x+C \)
C. \( y^{2}=\frac{1}{3} x^{3}-7 x^{2}+C \)
D. \( y^{2}=\frac{2}{3} x^{3}-7 x^{2}+C \)
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