Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.
Answer:
the solution is (-3, -2)
Step-by-step explanation:
Please, separate your equations with a (;) or a (.). Better yet, write only one equation per line:
y=2x+4
3x−6y=3
Substitute 2x + 4 for y in the second equation:
3x - 6(2x + 4) = 3, or
3x - 12x - 24 = 3
Combining like terms, we get -9x = 27, and so x = -27/9, or x = -3.
Since we know that y=2x+4, we replace x in this equation with -3 and calculate y:
y = 2(-3) + 4 = -2
Then the solution is (-3, -2).
Answer:
a) point estimate is 30%
b) null and alternative hypothesis would be
: p=27%
: p>27%
c) We reject the null hypothesis, percentage working people aged 65-69 had increased
Step-by-step explanation:
<em>a. </em>
Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals 
ie 30%
<em>b.</em>
Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be
: p=27%
: p>27%
<em>c.</em>
z-score of the sample proportion assuming null hypothesis is:
where
- p(s) is the sample proportion of working people aged 65–69 (0.3)
- p is the proportion assumed under null hypothesis. (0.27)
- N is the sample size (600)
then z=
= 1.655
Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.
Answer: IT IS BBBB
Step-by-step explanation:
In the figure attached, the complete question is shown.
Originally the scale is 1 inch: 12 yards, the width is 6 inches, that is, 6*12 = 72 yards, and the length is 9 yards, that is, 9*12 = 108 yards
If the scale is 1 inch: 36 yards, then 72 yards are:
1 inch / x inches = 36 yards / 72 yards
x = 72/36 = 2 inches
which represents the new width.
And 108 yards are:
1 inch / x inches = 36 yards / 108 yards
x = 108/36 = 3 inches
which represents the new length.
Answer:
226.19
Step-by-step explanation:
I accidentally did 4^3 instead of 4^2
