Answer:
The critical value that should be used in constructing the confidence interval is T = 3.25.
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre
The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A) 40
B) 20
Step-by-step explanation:
By Length · Width · Height
A) (5) · (4) · (2) = 40
For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.
B) (5) · (4) · (1) = 20
-5 = 1 / 3 ( -1 - w )
plz help with step by step answer
Step-by-step explanation:
[tex] - 5 = \frac{1}{3} ( - 1 - w) \\ \frac{1}{3} ( - 1 - w) = - 5 \\ - 1 - w = - 5 \div \frac{1}{3} \\ - 1 - w = - 5 \times 3 \\ - 1 - w = - 15 \\ - w = - 15 + 1 \\ - w = - 14 \\ w = 14[/tex]
Explain distributive property
Answer:
distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
Answer:
Look at attachment:
Step-by-step explanation:
Hope this helps! :)
3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?
Answer:
1.75 liters
Step-by-step explanation:
Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)
What is the volume of the rectangular prism?
5 cm
8 cm
1 cm
cm3
Answer: 40 PLEASE MARK BRAINLEST
Step-by-step explanation:
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling: Pine Trees Spruce Trees Sample Size 40 80 Mean trunk diameter (cm) 35 30 Population variance 160 160 Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
Answer:
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Step-by-step explanation:
Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree
The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
[tex]H_a: \mu_1 - \mu_2 > 0[/tex]
In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Mean trunk diameter (cm) 35 30:
Pine trees - 35
Spruce trees - 30
The sample mean is given by the subtraction of the means. So
[tex]X = 35 - 30 = 5[/tex]
Sample Size 40 80
Population variance 160 160
This means that the standard error for each sample is given by:
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]
[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]
The standard error of the difference is the square root of the sum squared of the standard error of each sample.
[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{5 - 0}{2.4495}[/tex]
[tex]z = 2.04[/tex]
Pvalue of the test:
Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.
Looking at the z-table, z = 2.04 has a pvalue of 0.9793.
1 - 0.9793 = 0.0207
As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Please help!!!!!!!!!
10+6+9+13+7= 45
and divide it by 5
the answer is 9
the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it
Can anyone help? I struggle with Algebra
1 Krista has 10 cups of gelatin. If each bowl holds 3 cup, how many bowls can she fill?
Answer: Krista can fill 3 1/3 bowls of gelatin.
HELP ME PLEASE PLEASE PLEASE
Answer:
( 4 x 10 y )
Step-by-step explanation:
What do you want to know
Answer:
the point of living life if there's any also what's after death
Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?
Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches
Step-by-step explanation:
Each side of the park is 9meters long what is the perimeter
Answer:1125
Step-by-step explanation:
w=width
w+20=length
P=2l+2w
140=2(w+20)+2w
140=2w+40+2w
140=4w+40
140-40=4w
100=4w
w=100/4
w=25 m
l=25+20=45 m
A=lw
A=45*25
A=1125 sq m
A television is on sale for 30% off. The sale price is $322. What is the original price of the television?
PLEASE HELP QUICK
Answer:
$460
Step-by-step explanation:
Let
x = original price of the television
Sale price = $322
Discount = 30%
x - 30% of x = 322
x - 0.3 * x = 322
x - 0.3x = 322
0.7x =322
x = 322/0.7
x = $460
x = original price of the television = $460
In AHIJ, h = 160 inches, i = 910 inches and ZJ=28°. Find the area
of AHIJ, to the nearest square inch.
Answer:
34178
Step-by-step explanation:
deltamath
Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. How many different ways can they stand in line?
40 points && brainliest! pls help.
Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. So, there are 24 different ways they can stand in line.
How does factorial work?Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 till that considered integer.
Thus, if we want to take the factorial of 'n',(n being a positive integer), then:
[tex]n! = 1 \times 2 \times \cdots \times (n-1) \times n[/tex]
Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other.
The different ways they can stand in line = 4!
[tex]= 4 \times 3 \times 2 \times 1\\\\= 12 \times 2\\\\24[/tex]
So, there are 24 different ways they can stand in line.
Learn more about factorials here:
https://brainly.com/question/16036678
#SPJ2
how do you find the percent of discount if the original price is $578 and the sale price is $78.76
Answer: 86%discount approx
Step-by-step explanation:
You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:
578:100=78:x
X=(78*100)/578
X=14 %
Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%
May I have some help with this?
Answer:
a. tanB= 3/2
Step-by-step explanation:
tanA= p/b =:2/3
For angle A,
p= 2
b=3
For angle B,
p = 3
b=2
So, TanB = 3/2
GIVING EVERYTHING. NO LINKS OR ABSURD ANSWERS.
Answer:
A.
Step-by-step explanation:
A polyhedron is a 3d figure that has flat polygonal faces.
Since this 3d shape has octagons on its faces and rectangles on its sides, it is considered a polyhedron.
Counting everything adds up to 10 faces, 16 vertices, and 24 edges.
Hope this helps!
Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!
Answer: 72
Step-by-step explanation:
Set it up as a ratio
[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]
What is the measure of the central angle that goes with the given arc measure shown below
Mr. Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard. The edging is sold in lengths of 19 ft. each. How many lengths of edging will Mr. Rice need to purchase?
Answer:
6.11 or 6.12
Step-by-step explanation:
You will have to divide 116.25 by 19
to find the length Mr.Rice will need to purchase
which is 6.11842105
Triangle ABC is equilateral. What is the measure of angle B?
Answer:
60
Step-by-step explanation:
Equilateral triangles- all 3 angles are 60
What are the coordinates of point A" if triangle
ABC is reflected over the y-axis and then
translated by the rule (22, y) + (x – 5, y – 5) ?
A. (-2,-2)
B. (2,-2)
C. (-2,2)
D. (2,2)
Answer:
Reflected OVER Y makes A
A (-7,3) -> (7,3)
Translated makes
A (7,3) -> (7-5, 3-5) = (2,-2)
B)
Step-by-step explanation:
A concrete pilar has the shape of a svinder It has a diameter of 6 meters and a height of 5 meters. If concrete costs $108 per cubic meter, how much did the
concrete cost for the pillar?
If necessary, refer to the list of cometry formulas
For your calculations, do not round any intermediate stops, and use the it button on the ALEKS calculator Round your answer to the nearest cent.
Answer:
The cost of concrete for the pillar would be $ 15,260.40.
Step-by-step explanation:
Given that a concrete pillar has the shape of a cylinder and it has a diameter of 6 meters and a height of 5 meters, if concrete costs $ 108 per cubic meter, to determine how much did the concrete cost for the pillar the following calculation must be done, knowing that the volume of a cylinder is calculated with the following formula = πxr²xh:
3.14 x (6/2) ² x 5 = X
3.14 x 3² x 5 = X
3.14 x 9 x 5 = X
3.14 x 45 = X
141.3 = X
141.3 x 108 = X
15,260.4 = X
Therefore, the cost of concrete for the pillar would be $ 15,260.40.
PLEASE HELP QUICK PLS PLS PLSSSSS
The height of a triangle is 5 more than double the base length. If the height of the triangle is 74mm, what is the base length of the triangle
Answer:
height = 5+2xbase
74 = 5+2xbase
subtract 5 from both sides
69 = 2xbase
divide both sides by 2
34.5mm = base length
Please help, I’ll mark you as brainiest if you’re correct !!!
Answer: i think c
Step-by-step explanation:
Answer:
I believe the answer is B i am not 110% sure tho
Find the value of x. Round to the
nearest tenth.
26
12
X
X =
Enter
Answer:
322. So this is correct or wrong