Answer:
26: x=34
28: x=17
30: m=30
Step-by-step explanation:
<u>26:</u> 2x+22=90
subtract 22
2x=68
divide by 2
x=34
<u>28:</u> 18+3x+21=90
add 18 and 21
3x+39=90
subtract 39
3x=51
divide by 3
x=17
<u>30:</u> 43+87+m+20=180
add 43 and 87 and 20
m+150=180
subtract 150
m=30
Answer:
With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 37
sd = 10
n = 44
degree of freedom = n - 1 = 44 - 1 = 43
t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165
E = t × sd/√n = 2.0165×10/√44 = 3.04
Lower limit = mean - E = 37 - 3.04 = 33.96
Upper limit = mean + E = 37 + 3.04 = 40.04
95% confidence interval is between 33.96 and 40.04
Answer: See below
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.
Triangle EFG
9²+b²=41²
81+b²=1681
b²=1600
b=√1600
b=40
----------------------------------------------------------------------
Triangle PQR
20²+21²=c²
400+441=c²
c²=841
c=√841
c=29
----------------------------------------------------------------------
Triangle XYZ
a²+24²=25²
a²+576=625
a²=49
a=√49
a=7
Answer:
No they are not equal
Step-by-step explanation:
this is what would make sence for me
the frist one was confusing
