(x+5)/4=1/2
first get rid of the fraction
multiply both sides by 4
x+5=2
subtract 5
x=-3
(2x+1)/(4x-1)=2/3
get rid of the fractions,
multiply both sdies by (4x-1)(3)
(2x+1)(3)=(2)(4x-1)
distribute
6x+3=8x-2
subtract 6x form both sdies
3=2x-2
add 2
5=2x
divide by 2
5/2=x
Answer:
8835.73ft^3
Step-by-step explanation:
First:
Find area of the base circle.
Diameter is 15, so radius is 7.5
Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)
next find the volume of the cylinder
height is 40 so volume = 56.25pi*40 = 2250pi
next find the volume of the dome at the top.
you know the radius is 7.5
Use volume of sphere formula below :
4
/3πr^3
=1767.15
alright now add the two bolded values
1767.15+2250pi
= 8835.73
hope this helps
Answer:
A. 33/56
Step-by-step explanation:
56ths is the only one of these that 7 can be broken up into.
Answer:
Step-by-step explanation:
Falso
Answer
given,
mean = 12 Kg
standard deviation = 0.5 Kg
assume the observed statistic is = 11.1
now, 
assuming the number of sample = 4
n = 4
Hypothesis test:
H₀ : μ≥ 12
Ha : μ < 12
now,
significant level α = 0.05
z* = -3.60
Test statistics, Z* = -3.60
P-value
P(Z<-3.60) = 0.002 (from z- table)
P- value = 0.002
now,
reject the value of H₀ when P-value < α
0.002 < 0.05
since, it is less P-value < α , we have to reject the null hypothesis
