Answer:
7/8?
Step-by-step explanation:
In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Thirteen randomly selected plots of land were treated with fertilizer A, and 8 randomly selected plots were treated with fertilizer B. The number of pounds of harvested fruit was measured from each plot. Following are the results.
Fertilizer A
445 510 464 472 441 480 403 460 448
457 437 505 417
Fertilizer B
398 380 368 393 424 387 378 415
Required:
Construct a 95% confidence interval for the difference between the mean yields for the two types of fertilizer.
Answer:
The 95% confidence interval for the difference between the mean yields for the two types of fertilizer is approximately 92.5536 pounds < [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] < 35.39 pounds
Step-by-step explanation:
The harvest from each plot treated with fertilizer A and fertilizer B are presented as follows;
Fertilizer A
445, 510, 464, 472, 441, 480, 403, 460, 448, 457, 437, 505, 417
Fertilizer B
398, 380, 368 393, 424, 387, 378, 415
The number of trials of fertilizer A, n₁ = 13
The number of trials of fertilizer B, n₂ = 8
The confidence level = 95%
α = 1 - 0.95 = 0.05
∴ α/2 = 0.025
The degrees of freedom, df = 8 - 1 = 7
[tex]t_{\alpha /2}[/tex] = 2.365
From Microsoft Excel, we get;
The standard deviation of the pounds of harvested fruits for the plots treated with fertilizer A s₁ = 30.71603
The mean of the pounds of harvested fruits for the plots treated with fertilizer A, [tex]\overline x_1[/tex] = 456.8462
The standard deviation of the pounds of harvested fruits for the plots treated with fertilizer B s = 18.99201
The mean of the pounds of harvested fruits for the plots treated with fertilizer B, [tex]\overline x_2[/tex] = 392.875
The 95% confidence interval, C.I. for the difference between the mean yields for the two types of fertilizer can be constructed with the following formula
[tex]C.I. = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \cdot \sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
By variable substitution, we get;
[tex]C.I. = \left (456.8462- 392.875 \right )\pm 2.635 \times \sqrt{\dfrac{30.71603^{2}}{13}+\dfrac{18.99201^{2}}{8}}[/tex]
The 95% confidence interval for the difference between the mean yields for the two types of fertilizer [tex]C.I. \approx 63.9712 \pm28.5824[/tex], which can be expressed as 92.5536 lbs. < [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] < 35.39 lbs.
simply the ratio of 650ml to 2litre
Answer:
13: 40
Step-by-step explanation:
as 650 ml is given
so 2l = 2000 ml
ratio = 650 / 2000
13/40
13:40
write equations for lines
y=mx+b
y-y1=m(x-x1)
Ax+By= C
Help me pls help I don’t get it
i think maybe your supposed to find an answer choice that is basically equal to the equation given already
Answer:
2) 1 3/4 = 4/4 + 3/4
Step-by-step explanation:
hope it helps
Find the volume of the figure below. Round to the nearest tenth it needed. Please help
Answer:
1,060.8 mm³
Step-by-step explanation:
Volume of the triangular prism = ½*bhl
Where,
b = 12 mm
h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)
l = 17 mm
Plug in the values
Volume = ½*12*10.4*17
Volume = 1,060.8 mm³
There are 16 cans of soda. One eighth are Coke. How many Cokes
Answer:
2 cans are cokes.
Step-by-step explanation:
16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2
Which of these is something you can pay for with the money in a savings account?
I need help??????????????
Answer:
20
Step-by-step explanation:
[tex]50*0.40=20[/tex]
Answer:
20 times at first base
Step-by-step explanation:
Help Please I don’t understand
Answer:
128.10
Step-by-step explanation:
(8 * 16.95) - 7.50
(135.6) - 7.50
128.10
Which expression is equal to 48 + 72?
A
24(2 + 3)
B
8(6 + 12)
с
3(14 + 24)
D
2(24 + 38)
Answer:
A
Step-by-step explanation:
I did the math and i have no doubt
need help geometry question central angles and arcs?
Answer:
135
Step-by-step explanation:
360-90=270
270/2=135
-4.5t + 11.75 = 20.75
WITH STEPS
If someone could give me the answer to this asap I would really appreciate it
Answer:
110°Step-by-step explanation:
MKN and MCN are supplementary angles.
Supplementary angles sum to 180°:
m∠MCN = 180° - 70° = 110°which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answer:
Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”
pls help me with this math question pls its hard i want the explanation pls
Answer:
Take the angle above 128° as x.
x = 180 - 128 (linear pair)
x = 52°
a = ?
a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )
a = 180 - 125
a = 55°
the volume of sphere is increaseing
at the Constant rate of 10cm²lsee-
Calculate the rate of increase of
the surface area
at the Instant
When the radus is 5cm. What
is the radius of the sphere when
the surface are is increasing at 2cm
Volume of a sphere:
V = 4/3 π r ³
Differentiate V with respect to time t :
dV/dt = 4π r ² dr/dt
Surface area of a sphere:
A = 4π r ²
Differentiate A with respect to t :
dA/dt = 8π r dr/dt
You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so
10 cm³/s = 4π r ² dr/dt
Solve for dr/dt (the rate of change of the sphere's radius):
dr/dt = 5/(2π r ²) cm³/s
Substitute this into the equation for dA/dt :
dA/dt = 8π r (5/(2π r ²) cm³/s)
dA/dt = 20/r cm³/s
At the moment the radius is r = 5 cm, the surface area is increasing at a rate of
dA/dt = 20/(5 cm) cm³/s = 4 cm²/s
When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that
2 cm²/s = 20/r cm³/s
which happens when the radius is
r = 20/2 (cm³/s) / (cm²/s) = 10 cm
Write the percent as a decimal.
0.23
%
0.23
%equals
A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]
Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST
The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)
A)
12 1 / 2 cm^3
B)
45 cm^3
C)
67 1 / 2 cm^3
D)
85 cm^3
Answer:
c. 67.5 cm^3
Step-by-step explanation:
V=whl
v=5*3*4.5
v=15*4.5
v=67.5 c^3
So C would be correct
Hope i helped, Brainliest would be appreciated!
Have a nice day!
-Aadi x
Help me please I give brainliest and be serious
2. Find the measure of the given angle.
H
G
O 360°
90°
0 45°
O 180°
Answer:
x= 90
Step-by-step explanation:
An angle inscribed in a semicircle is a right angle
x =1/2 (180)
x = 90
Luigi owns a few square tables and some chairs for his little restaurant. If he sets out individually with 4 chairs each, then he is 6 chairs short. If he always puts two tables together to create a bigger table with 6 chairs, then he has 4 chairs left over. How many tables does Luigi have?
It would be best if you explained your work. Any 'troll answers' will be reported.
Answer:
Suppose there are 10 tables. Putting 4 chairs at each table requires 4*10 = 40 chairs. Since this is 6 more chairs than he has, he must have 40 - 6 = 34 chairs.
Now suppose we put pairs of table together ("double tables"), so that 6 chairs can fit around each pair. With 10 tables, there will be 5 pairs, and with 6 chairs around each of these, we need 5*6 = 30 chairs. So 4 of the 34 chairs are left over. That's exactly what the problem said, so this is the answer.
Now, you may find that this check provides you with a model for the second equation you need to write! At least, I hope it clarifies what the problem means by "double tables".
Step-by-step explanation:
this is just my interpritation, please tell me if wrong!!!
What is the answer?
Answer: D
Step-by-step explanation:
First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.
hope this helps :)
work out m and c for the line y= x+4
Answer:
M = 1, C = 4
Step-by-step explanation:
Just take note that all linear equation have the form Y = Mx + C.
Here you can read directly from the equation given.
ANSWER ASAP I WILL GIVE BRAINLIEST
Answer:
Period=pi amplitud=1
Step-by-step explanation:
These triangles
are congruent by
the triangle
congruence
postulate [? ]
The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
These triangles are congruent.
Now, In both triangle shown in figure have;
⇒ One side is common. (Diagonal)
⇒ Two sides are equal. (Given)
⇒ One pair of angle in both triangle are equal.
Hence, We get;
⇒ By SAS congruent theorem both triangles shown in figure are congruent.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
Need help with this problem ^^
Answer:
8t^2-2t+13 is the answer i believe
6(a + 12) equivalent expressions
6(a+12)
6a+72
---
hope it helps
Is 4(7-1) and 28-1 equal?
Answer:
fasdfjahlskfhkajshf
Step-by-step explanation:
jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh
∑⊥⇆Ф↑↓∩¬║⊅α∨∧
(testing answer, sorry for that)