One meter is composed of approximately 3.28 feet. To convert a certain measure in feet to meter, divide the number by 3.28. From the given above, using dimensional analysis and the conversion factor,
(750 ft) x (1 m/ 3.28 ft) = 228.66 m
Thus, 750 ft is approximately 228.66 in meters.
Answer:
a)0.6192
b)0.7422
c)0.8904
d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then
z(p)=
where
- Me is the margin of error from the mean
- s is the standard deviation of the population
a.
z(p)=
≈ 0.8764
by looking z-table corresponding p value is 1-0.3808=0.6192
b.
z(p)=
≈ 1.1314
by looking z-table corresponding p value is 1-0.2578=0.7422
c.
z(p)=
≈ 1.6
by looking z-table corresponding p value is 1-0.1096=0.8904
d.
Minimum required sample size for 0.95 probability is
N≥
where
- z is the corresponding z-score in 95% probability (1.96)
- s is the standard deviation (50)
- ME is the margin of error (8)
then N≥
≈150.6
Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Let's solve your equation step-by-step.
2(3x−1)=−6x−2
Step 1: Simplify both sides of the equation.
2(3x−1)=−6x−2
(2)(3x)+(2)(−1)=−6x+−2(Distribute)
6x+−2=−6x+−2
6x−2=−6x−2
Step 2: Add 6x to both sides.
6x−2+6x=−6x−2+6x
12x−2=−2
Step 3: Add 2 to both sides.
12x−2+2=−2+2
12x=0
Step 4: Divide both sides by 12.
12x/12= 0/12
x=0
Answer:
x=0
HOPE THIS HELPS!!! :)
Answer:
Step-by-step explanation:
Set up an equation, where x is the number of gallons of 60% antifreeze solution.
Represent the percentages of antifreeze with decimal values.
0.6x + 0.3(80) = 0.5(x + 80)
Simplify and solve for x:
0.6x + 24 = 0.5x + 40
0.1x = 16
x = 160
So, you have to mix 160 gallons of a 60% antifreeze solution
Answer:
A. 
Step-by-step explanation:
For this problem, we have to combine like terms.
Let's look at the equation:

,
,
do not have any other like terms, so we keep all in the final answer.
and
are like terms, so we combine them. 
14 and 6 are like terms, so we combine them. 14+6 = 20
Let's put everything into the final equation:

So, the final answer is A. 
Hope this helps! If you have any questions about my work, leave them in the comments below!