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.
A city council wants to know if residents would like a dog park . They sent a survey to every household in the city . The results of those who responded are shown in the table below . What is the experimental probability that a household has 2 or more dogs ?
Answer:
probability= event / sample space
= 129/860
=3/20
=0.15(15%)
X times 3+6 when X equals four
Step-by-step explanation:
4 x 3 + 6
12 + 6
= 18
or
4 x (3+6)
4 x 9
= 36
depends whether the 3+6 is in brackets :)
Answer:
if x = 4
then,
4 (3 + 6)
12 + 24
= 36
Depends whether they are in brackets but usually i would consider it in this problem.
Without the brackets would be:
4 x 3 + 6
12 + 6 = 18
find each measurement indicated. Round your answers to the nearest tenth. Please SHOW WORK!!
9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
Need help with math homework
Melissa's mother bought . pounds of strawberries to make strawberry
smoothies. She estimates that she will need of a pound of strawberries for
each smoothie. How many smoothies can she make with the strawberries she
bought?
Answer:
depends on the ammount
Step-by-step explanation:
Find the area of the trapezoid.
Recall : (b + b) h
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
Solve for x
I don’t have much time pls help. Round to the nearest hundredth
our less than the quotient of ten and a number, increased by eight; evaluate when y = 2 A 2-column table with 7 rows. Column 1 is labeled Key Words with entries four, less than, quotient, ten, a number, increased by, eight. Column 2 is labeled Replace with entries 4, minus, divided by, 10, y +, 8. Write and evaluate the expression. Then, complete the statements. First, write the expression . Second, 2 in for the variable, y. Third, by using . The answer is .
Answer:
✔ 10/y – 4 + 8
.
Second,
✔ substitute
2 in for the variable, y.
Third,
✔ simplify
by using
✔ order of operations
.
The answer is
✔ 9
Step-by-step explanation:
i hope this helps-
Factorise the following.
Answer:
This is your answer
Tony's Tires has shown growth over the last month that follows the
equation Sales = 4(Day of the month) +16. On what day of the month will
Tony's Tires double its first day sales?
Answer:
Step-by-step explanation:
The sales will double on the 6th day of the month
The equation sales for last month = 4(day of the month) + 16
let
x = day of the month
The day of the month could be 1, 2, 3, 4, 5, 6, 7, 8...…31. The numbers represents the first, second, third ,...… thirty first day.
Sales = 4x + 16
From the equation, on the first day his sales will be :
sales = 4(1) + 16 = 20 units
The double of 20 units is 40 units. Therefore, the day of the month which the sales will double can be calculated below
40 = 4x + 16
40 - 16 = 4x
4x = 24
x = 24 / 4
x = 6
it will double on the 6th day.
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Pls help! How do i Graph 4y = -3x - 8. explain the steps
Answer:
Step-by-step explanation:
to make a graph, when you have the equations, as you do, just make up a table of some x coordinates, you get to choose which ever ones you want so pick some easy ones, like - 2,-1 , 0, 1, 2 .. then put each of those numbers into your equations as the x ... one at a time, ofc, and see what you get out for y. then you have the y coordinate of your table
when you have your table then you can plot each of the points, if you use the Demos web site graphing tool you can make the graph on your computer , or use a graph paper.
:)
Cindy owns a plot of land measuring 630 yards wide by 987 yards long what is the area of the land in square yards, square feet, acres and square miles
Answer:
621,810 square yards
1,865,430 square feet
128.47 acres
353.30 square miles
Step-by-step explanation:
Since Cindy owns a plot of land measuring 630 yards wide by 987 yards long, to determine what is the area of the land in square yards, square feet, acres and square miles, the following calculations must be performed:
1 yard = 3 feet
1 square yard = 0.000206612 acres
1 yard = 0.000568182 miles
Square yards: 630 x 987 = 621,810 square yards
Square feet: 621,810 x 3 = 1,865,430 square feet
Acres: 621,810 x 0.000206612 = 128.47 acres
Square miles: 621.810 x 0.000568182 = 353.30 square miles
(-1) + 1 = 0 is which inverse
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer....
--> ADDITIVE INVERSE!Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.
Hope it helps you,
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Which is proportional
Answer:
B
Step-by-step explanation:
It goes up the same amount ($0.75) for every bar you get.
what ia a right triangle?
The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 9090 million dollars with a standard deviation of 77 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answer:
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.
This means that [tex]\mu = 90, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 90}{7}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
What is the equation of this circle in standard form?
A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25
Answer:
D.
(x − 5.5)2 + (y − 4)2 = 12.25
A boat starts at a point A. It travels a distance of 7 km on a bearing of 135° to point B. From B it
travels 12 km on a bearing of 250° to point C. Using a scale of 1 cm:1 km, draw a diagram to show
these bearings and journeys.
Answer:
c.using scale of 1 cm:1km draw a diagram
simplify fully (9(x+7))÷(3(x-1))
Answer:
3x + 60
Step-by-step explanation:
9(x + 7) ÷ 3(x - 1) =
9x + 63 ÷ 3x - 3 =
9x ÷ 3x + 63 - 3 =
3x + 60
Note: For the third equation which is 9x ÷ 3x and etc, you have to put alphabets and numbers at one side seperately to be able to simplify easily.
PLEASE HURRY! I WILL MARK BRAINLIEST!
The total profit function, P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.
Answer:
4 < x < 15.
Step-by-step explanation:
Solve -2x^2 + 38x -120 = 0 This gives x = 4 and x = 15. So the company makes a profit when the range of x is greater than 4 and less than 15. The graph of function is a flipped U which pass through x axis at 4 and x = 15. Above the x-axis is the area of profit.
Plez the answer the subject is the double angle and half angle formula
Answer:
cos 2x = (√7) / 4
Step-by-step explanation:
sin x - cos x = 1/2
(sin x - cos x)² = (1/2)²
sin²x - 2 sin x cos x + cos² x = 1/4
1 - 2 sinx cosx = 1/4
2 sinx cosx = 3/4
sin 2x = 2 sinx cosx = 3/4
sin² 2x = 9/16
cos² 2x = 1 - sin² 2x = 1 - 9/16 = 7/16
cos 2x = (√7) / 4
A restaurant wants to study how well its salads sell. The circle
graph shows the sales of salads during the past few days. If 5 of
the salads sold were Caesar salads, how many total salads did
the restaurant sell?
Answer:
25
Step-by-step explanation:
20 : 100 = 5 : x
x = (5 x 100) / 20 = 25
find m<1 in the rhombus below
Answer:
[tex] m \angle \: 1 = 120 \degree[/tex]
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,
[tex]m \angle \: 1 = 120 \degree[/tex]
If m= 3 in the equation 2m=4-n, find the value of n.
Answer:
-2
Step-by-step explanation:
Find an equation of the line whose slope in 5/2 and whose x intercept is -3
Answer:
5/2 x -3
Step-by-step explanation:
Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her account how much does she have in her bank
If a student were going to write about their favorite food, they would want to include sensory language that focuses on. help please
Answer:
Here are the answers
Step-by-step explanation:
1. taste and smell
2. they allow the reader to feel as if he or she is in the story
3. touch
4. to make the writing more interesting and vivid, to provide greater detail to a narrative
Language Arts 6 B Unit 7 Lesson 13
Students would want to include sensory language which describes in the solution part that focuses on writing about their favorite food.
What is sensory language?Sensory Language is a word or words used to evoke mental imagery and help the reader visualize the tale or poetry. Imagery is a literary method that appeals to the reader's senses, whereas Sensory Language is a writing style and how writers utilize words to generate images for the readers.
When writing about their favorite food, a student might want to include sensory language that focuses on how the food looks, smells, tastes, feels, and sounds. This can help to paint a vivid picture for the reader and make the experience of reading about the food more immersive.
For example, if the student's favorite food is pizza, they might describe the golden, crispy crust; the savory, spicy tomato sauce; the gooey, melted cheese; the spicy sausage and bell peppers; and the satisfying crunch that it makes when they take a bite. They might also describe the way the warm, comforting aroma of the pizza fills the room as it cooks, or the way the different textures and flavors come together in each bite to create a satisfying and delicious meal. By using descriptive language that focuses on the senses, the student can help the reader to better understand and share in their love of the food.
Learn more about sensory language here:
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4. Se contrata un bus para hacer una excursión, si se hubieran completado los asientos el costo del
pasaje por persona hubiera sido de $10, pero faltaron 10 personas, entonces el costo del pasaje por
persona es de $15.¿Cuántos asientos tiene el bus ?
Answer:
???
Step-by-step explanation:
5. Use the Commutative
Property and compatible
numbers to calculate the sum.
Explain how you used mental
math.
23.3 + 12 + 36.7
Help! Need by 8 pm est
Answer: 72
Step-by-step explanation:
You invested $101 and received $106.05 after one year.what was the interest rate?
The person below me is true