9. 1/3+(x+20)+(x-10)+40=360 10. 1/2x+1/2x+(x-15)+(x-25)+100=540
1/3+2x+50=360 4x+60=540
(3/1) 1/3+2x=300(3/1) 4x/4=480/4
2x=300 X=120
————
2
W=150
Answer:
Step-by-step explanation:
2) r = 16/2 = 8 cm
Area of top and bottom = 2*πr²
= 2 * 3.14 * 8 * 8
= 401.92 cm²
Midlle part = h * πd
= 6 * 3.14 * 16
= 301.44 cm²
Total = 401.92 + 301.44
= 703.36 cm²
3) Area of front and back = 

Area of bottom = length * breadth
= 12* 3
= 36 cm²
Area of left = 12 * 4
= 48 cm²
Area of right = 12 * 5 = 60 cm²
Total = 12 + 36 + 48 + 60 = 156cm²
Answer:
x ≈ 1.9087
Step-by-step explanation:
We don't know what methods you learned in class, but here's one way to solve the equation.
Make x the exponent of a constant:
5^(x+2) = 3^(3x)
(5^x)(5^2) = (3^3)^x
25(5^x) = 27^x
Put the powers all on one side of the equation and everything else on the other side.
25 = (27^x)/(5^x) = (27/5)^x = 5.4^x
Take logarithms.
log(25) = x·log(5.4)
x = log(25)/log(5.4)
x ≈ 1.9087
10. Determine whether or not, vectors ui(1,-2, 0, 3), u2 = (2, 3,0,-1), u3 = (3,9,-4,-2) e R is a linear combination of the (2,-
vodka [1.7K]
If (2, -1, 2, 1) is a linear combination of the three given vectors, then there should exist
such that

or equivalently, there should exist a solution to the system

Right away we get
, so the system reduces to

Notice that the first equation is the sum of the latter two. The third equation gives us

so that in the second equation,

which in turn gives

and hence the (2, -1, 2, 1) is a linear combination of the given vectors, with

In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.
Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .
Standard deviation
In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.
Formula: 
where x bar is mean and N is size of population.
Margin of error
The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.
Formula for M=z*s/
here z is z value of Z score , s is variance , n is that the sample size.
Correlation coefficient
In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.
Formula=∑
∑
∑
Learn more about correlation coefficient at brainly.com/question/4219149
#SPJ4