Answer:
4
Step-by-step explanation:
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
Answer:
c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O
Step-by-step explanation:
Given that according to the Centers or Disease Control and Prevention, 9.6% of high school students current through (c) below a
(a) Determine the null and alternative hypotheses.
(right tailed test for proportion of high school students )
b) If the null hypothesis should not be rejected, state the conclusion of the high school counselor.
c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O
Answer:
ok what u need help with
Step-by-step explanation:
Answer:
(a) The sample size required is 2401.
(b) The sample size required is 2377.
(c) Yes, on increasing the proportion value the sample size decreased.
Step-by-step explanation:
The confidence interval for population proportion p is:
The margin of error in this interval is:
The information provided is:
MOE = 0.02
(a)
Assume that the proportion value is 0.50.
Compute the value of n as follows:
Thus, the sample size required is 2401.
(b)
Given that the proportion value is 0.55.
Compute the value of n as follows:
Thus, the sample size required is 2377.
(c)
On increasing the proportion value the sample size decreased.
(b) the surface area of the cube maximum possible error relative error percentage error cm Need Help? ReadTalk to Tuter
Answer with Step-by-step explanation:
We are given that
Side of cube, x=30 cm
Error in measurement of edge, cm
(a)
Volume of cube,
Using differential
Substitute the values
Hence, the maximum possible error in computing the volume of the cube
=
Volume of cube,
Relative error=
Relative error=0.05
Percentage error=%
Hence, relative error in computing the volume of the cube=0.05 and
percentage error in computing the volume of the cube=5%
(b)
Surface area of cube,
The maximum possible error in computing the volume of the cube=
Relative error=
Relative error in computing the volume of the cube=0.033
The percentage error in computing the volume of the cube=%
SHOW ALL STEPS
Answer:
First Example: 3 1/2 + 4 3/4, Second Example: 6 3/8 + 7 9/15
Extra Example: 8 4/20 + 3 5/10
Step-by-step explanation:
First Example:
1/2 + 3/4
1/2 is equal to 2/4 so it is now compatible to be added to 3/4.
2/4 + 3/4
= 5/4
Now for the mixed numbers since its 3 and 4, 3 + 4 = 7.
Final answer is 7 5/4.
Second Example:
3/8 + 9/15
9/15 can be reduced to 3/5
Now the equation is 3/8 + 3/5
= 15/40 + 24/40 is an equivalent equation
15/40 + 24/40
= 39/40
Now for the mixed numbers since its 6 and 7, 6 + 7 = 13
Final answer is 13 39/40.
I am going to include one last example just in case you need one:
Third Example:
4/20 + 5/10
We can reduce these to
1/5 + 1/2
= 2/10 + 5/10 is the equivalent equation
2/10 + 5/10
= 7/10
Now for the mixed numbers since its 8 and 3, 8 + 3 = 11.
Final answer is 11 7/10.
I Hope this helps!