Answer:
#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)
Step-by-step explanation:
for the first equation everything was right until 22x = 66
after
22x = 66
you must divide everything by 22
x = 3
that is for #1
for the second equation you copied down the question wrong
the negative is still there
6c - 8 - 2c = -6
combine 6c and -2c
4c - 8 = -6
the negative remains on the 8
add 8 to both sides
4c = 2
divide 4 to both sides
c = 2/4 or just 1/2
for the third equation you must first combine like terms
-3x + 25 + x + 21 = 2
combine -3x and x & 25 and 21
-3x + x = -2x
25 + 21 = 46
-2x + 46 = 2
then subtract 46 from both sides
-2x = -44
now divide both sides by -2
x = 22
that is your answer
number four should be correct
Question:
The question is incomplete. The display technology was not given. Find below the complete question and the answers.
Display from technology:
Hypothesis Test Results
μ : Mean of variable
H₀ : μ=2.7 miles
HA : μ >2.7 miles
Variable Sample Mean Std. Err. DF T-Stat P-value
Length 3.23601 0.285185 499 2.230166 0.0131
Step-by-step explanation:
From the result obtained, we have;
Null hypothesis: H₀ : μ=2.7 miles
Alternative hypothesis: HA : μ >2.7 miles
Test statistics = 2.230166
P-value = 0.0131
Significant level: α = 0.05
Since the P value is less than the significance level, we can reject the null hypothesis.
There is no sufficient evidence to support the claim that the mean tornado length is greater than 2.7 miles
The difference between the masses is
4.55·10¹³ kg -1.78·10¹² kg
= 4.55·10¹³ kg - 0.178·10¹³ kg
= (4.55 -0.178)·10¹³ kg
= 4.372·10¹³ kg
Rounded to the appropriate precision, the mass of the Antarctic iceberg exceeds that of the Rock of Gibraltar by ...
4.37·10¹³ kg