Step-by-step explanation:
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.
b. type 1 error happens when we reject a true null hypothesis.
this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.
the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.
c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9
the consequence is that it would be harder to accept a true h0 at a high level of significance
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!Solve the system of equations.
y = 2x + 3
2y = 4x + 10
A. Infinite Solutions
B. (-2,3)
С. (4,-1)
D. No Solution
Answer:
D. no solution
Step-by-step explanation:
substitute y = 2x + 3 in
2y = 4x + 10
gives 2(2x+3) = 4x + 10
4x - 4x = 10 - 6
therefore the equation has no solution
Which expression represents the distance between the points (11, 4) and (5,8)?
Answer:
[tex]\displaystyle d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (11, 4) → x₁ = 11, y₁ = 4
Point (5, 8) → x₂ = 5, y₂ = 8
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{13}[/tex]Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Answer:
99miles is more likely correct
or 114miles as knots is usually higher mileage
Step-by-step explanation:
70^2 + 70^2 = c^2
sqrt 4900 + sqrt 4900 = c^2
sq rt 9800 = c^2 = 98.9949494
99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph
70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.
As a part of lesson on motion students observed a cart rolling at
a constant
Answer:
follow me for right answer
525x =300x +45x What is the answer to this problem.
Answer:
x=0
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
I need help please.
Answer:
A) c(x)=2x+60
$74
Step-by-step explanation:
A) c(x)=2x+60
$74
Adrienne’s lunch cost $13.16. She hands the cashier $20. About how much change does Adrienne receive?
Answer:
Use long subtraction to evaluate.
6.84
Step-by-step explanation:
simplify (-4/5)^9/(-4/5)^10
Answer:
so (-4/5)^9/(-4/5)^10=−1,25
The 2010 U.S. Census asked every household to report information on each person living there. Suppose for a sample of 30 households selected, the number of persons living in each was reported as follows. 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3 Compute the mean, median, mode, range, lower and upper quartiles, and interquartile range for these data. (Round the mean to 2 decimal places.) Mean
Answer:
[tex]\bar x =2.53[/tex] -- Mean
[tex]Median= 2[/tex]
[tex]Mode = 2[/tex]
[tex]Range = 8[/tex]
[tex]Q_1 = 1[/tex]
[tex]Q_3 = 3[/tex]
[tex]IQR = 2[/tex]
Step-by-step explanation:
Given
n = 30
Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3
Solving (a): The mean
This is calculated as:
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{2 +3 +1 +2 +6 +4 +2 +1 +5 +3 +2 +3+ 1+ 2 +2 +1 +3 +1 +2 +2 +4 +2 +1 +2 +9 +3 +2 +1 +1 +3}{30}[/tex]
[tex]\bar x =\frac{76}{30}[/tex]
[tex]\bar x =2.53[/tex]
Solving (b): The median
First arrange the given data
Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9
[tex]Median =\frac{1}{2}(n+1)[/tex]
[tex]Median =\frac{1}{2}(30+1)[/tex]
[tex]Median =\frac{1}{2}(31)[/tex]
[tex]Median = 15.5th[/tex]
This implies that the median is the average of the 15th and 16th item
[tex]Median = \frac{2+2}{2}[/tex]
[tex]Median = \frac{4}{2}[/tex]
[tex]Median= 2[/tex]
Solving (c): The mode
From the given data; 2 has the highest frequency of 11.
So,
[tex]Mode = 2[/tex]
Solving (d): The Range
[tex]Range = Highest\ Data - Lowest\ Data[/tex]
The highest is 9 and the lowest is 1,
So:
[tex]Range = 9 - 1[/tex]
[tex]Range = 8[/tex]
Solving (e): Lower (Q1) and Upper (Q3) quartile.
Q1 is calculated as:
[tex]Q_1 = \frac{1}{4}(n+1)th[/tex]
[tex]Q_1 = \frac{1}{4}(30+1)th[/tex]
[tex]Q_1 = \frac{1}{4}(31)th[/tex]
[tex]Q_1 = 7.75th[/tex]
[tex]Q_1 = 8th\ item[/tex]
[tex]Q_1 = 1[/tex] -- from the arranged data
Q3 is calculated as:
[tex]Q_3 = \frac{3}{4}(n+1)th[/tex]
[tex]Q_3 = \frac{3}{4}(30+1)th[/tex]
[tex]Q_3 = \frac{3}{4}(31)th[/tex]
[tex]Q_3 = 23.25th[/tex]
[tex]Q_3 = 23rd\ item[/tex]
[tex]Q_3 = 3[/tex] -- from the arranged data
Solving (f): The interquartile range (IQR)
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 3-1[/tex]
[tex]IQR = 2[/tex]
Darlene's cat had a litter of southern kittens Three of the kittens were black what fraction of the kittens were not black also right this fraction into a division problem
Answer:
1/4
Step-by-step explanation:
write an equation to represent the following statement. k divided by 11=7. solve for k. k=?
Answer:
77
Step-by-step explanation:
77/11=7
Answer:
k=77 because 77/11 is 7
Step-by-step explanation:
Use the rectangle below to answer both part 1 and part 2
X+5
Part 1: Write an equation to find the value of x, if the area of the rectangle is 48 in?
Equation:
Part 2: What is the value of x, if the area of the retangle is 48 in2? Solve your equation from part 1.
X =
Blank 1:
Blank 2:
Answer:
i believe the equation is x = 48 ÷ 4 - 5
and x = 7
Step-by-step explanation:
you will need to take the are devided by width, because area is length times width. then subtract 5.
48÷4=12
12-5=7
Find an equation of a line parallel to the line y = 3x – 3 that contains the point (6,4).
Write the equation in slope-intercept form.
#First u find the gradient first, remember that the formula of equation of the line is y=mx + c
y = 3x - 3
so the gradient (m) is 3
#Now u find the equation of the line
y - y1 = m(x - x1)
y - 4 = 3(x - 6)
y - 4 = 3x - 18
y = 3x - 18 + 4
y = 3x - 14
Answer : y = 3x - 14Which function family should be used to solve the following question?
A team of scientists is studying the rate of growth of bacteria in a lab. It is found that the number of bacteria colis triplos overy
hour. If there are 6 bacteria at the beginning of the study, how many bacteria will be present after 7 hours?
A. Linear Function Family
OB. Quadratic Function Family
OC. Exponential Function Family
OD. Absolute Value Function Family
Answer:
I think d is the answer
What is the value of 3 3 5÷ 4 6?
Answer:a
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, 38) (6, 39)
(39 - 38)/(6 - 5) = 1/1= 1
y - 38 = x - 5
y = x + 33
Please I need help (>^<)ゞ
Katie and Elizabeth went to the store so Katie could return
some headphones. All DVDs were on sale for the same
price. Katie returned a set of headphones and purchased 3
DVDs, costing her an additional $5.
Elizabeth purchased 2 sets of the same headphones Katie
returned and a DVD for $67.
What is the cost of each item?
o Headphones $11; DVD $28
o Headphones $28; DVD $11
o Headphones $15; DVD $26
o Headphones $26; DVD $15
Answer:
Step-by-step explanation:
D
Select the correct answer from each drop-down menu .
Answer:
Fountain= 147.65 square yards
path= 28.28 square yards
Step-by-step explanation:
pi*47 <---square root cancels out the square
=147.65
pi*56=175.93
175.93-147.65=28.28
Find the area of a triangle with a base of 7 cm and a height of 3 cm.
21 cm squared
10.5 cm squared
20 cm squared
10 cm squared
Answer:
10.5 cm
Step-by-step explanation:
took the test
Solve 5(2x – 3) = x – 15 + 9x for x.
Question 12 options:
A)
–18∕5
B)
–12∕5
C)
0
D)
Infinitely many solutions
Answer:
the correct answer is option C) 0
Hope that helps! :)
(-x2 -8y) + (-2xy - 2y2 + x2) + (-x2 + 4xy)
Answer:
-x² - 2y² + 2xy - 8y
Step-by-step explanation:
A four member work crew needed new equipment. Boots cost 75 each, safety vest cost 15 each and hard hats cost 30 each. What is the total cost of the new equipment for all of the members?
Write a response to the following using Claim, Evidence, Reasoning.
Refer to the kite ABCD with diagonal AC shown above.
Use careful reasoning to explain why 21 22 and 23 24.
Answer:
The answer is A 21
Step-by-step explanation:
What is the answer to - y¹⁵・- y¹² ?
Answer:
y^3
Step-by-step explanation:
- y^15-12
two negatives is a positive
A pair of shoes costs $50. What is the total cost of the shoes after 7.25% tax is added? Round the tax to the nearest cent.
Answer:
Step-by-step explanation:
50(1+7.25/100)
50(107.25/100)
50(1.0725)
53.625
$53.63
How many feet are in 26 miles, 1155 feet ?
Answer:
The answer is 137,280
Step-by-step explanation:
5280 ft. = 1 mile
So....
26 x 5280 = 137,280
140 es múltiplo de 100
Answer:
Step-by-step explanation:
No it isn't. 140/100 is NOT a whole number so 140 isn't a multiple of 100.
7. Last school year, there were 520 learners in Mangga Elementary School 1. If 85% of these
learners were enrolled online this school year, how many learners were enrolled online?
A. 78
B. 435
C. 442
D. 605
Answer:
442
Step-by-step explanation:
100%-> 520
85%-> 442
Some data sets include values so high or so low that they seem to stand apart from the rest of the data. These data are called outliers. Outliers may represent data collection errors, data entry errors, or simply valid but unusual data values. It is important to identify outliers in the data set and examine the outliers carefully to determine if they are in error. One way to detect outliers is to use a box-and-whisker plot. Data values that fall beyond the limits
Lower limit: Q1 − 1.5 ✕ (IQR)
Upper limit: Q3 + 1.5 ✕ (IQR)
where IQR is the interquartile range, are suspected outliers. In the computer software package Minitab, values beyond these limits are plotted with asterisks (*). Students from a statistics class were asked to record their heights in inches. The heights (as recorded) were as follows:
65 72 68 64 60 55 73 71 52 63 61 74
69 67 74 50 4 75 67 62 66 80 64 65
Required:
Make a box-and-whisker plot of the data.
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the data:
65 72 68 64 60 55 73 71 52 63 61 74
69 67 74 50 4 75 67 62 66 80 64 65
The box and whisker plot generated from the data above can be found in the picture below : The asterisked point on the plot is the value of the Outlier.
Using calculator :
Q1 = 61.25 Q2 = 65.5 ; Q3 = 71.75
IQR = Q3 - Q1 = 71.75 - 61.25 = 10.5
Lower limit: Q1 − 1.5 * (IQR)
61.25 - 1.5(10.5)
61.25 - 15.75 = 45.5 (all values below 45.5)
Upper limit: Q3 + 1.5 * (IQR)
71.75 + 1.5(10.5)
71.75 + 15.75 = 87.5 (all values above 87.5)
Hence, the box and whisker plot summary :
Sample size: 24
Median: 65.5
Minimum: 4
Maximum: 80
First quartile: 61.25
Third quartile: 71.75
Interquartile Range: 10.5
Outlier: 4
Please please help with this question , you will get 10 points if you answer this question, don’t get bothered with 1 point written in question.
Answer:
11.7
Step-by-step explanation:
pls follow me and !ark as brainliest and follow me to get free points to all your answer's
Answer:
B (11.7)
Step-by-step explanation:
if you add the whole numbers (4, 4, 3) it would be 11 and then you add the decimal part which is 7 so it would be 11.7
