Answer:
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
Step-by-step explanation:
Applying two sample t test as both methods are independent
The null and alternate hypotheses are
H0: u1= u2 against the claim Ha: u1> u2
The significance level is 0.01 and the critical region is t > t∝( n-1)
The degrees of freedom is calculated using the formula
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
This formula is used when the the variances are unequal.
So as we do not know anything about variances we assume they are unequal.
The calculated degrees of freedom is 132
The critical region is t > 2.355 for one tailed test.
The test statistic is
t= x1`- x2`/ √s1²/n1 + s2²/n2
t= 85-83/ √3²/75+ 2²/60
t= 2/ 0.432
t= 4.629
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
Five more than a number is greater than 26
[tex]if \: x = 1 - \sin( \alpha ) \: and \: y = 1 + \cos( \alpha ) \\ [/tex]
Express y in terms of x and alpha only
Answer:
A sample of helium was compressed at 35 °C from a volume of 0.5 L
to 0.25 L where the pressure is 500 mmHg. What was the original pressure?
Step-by-step explanation:
Write a fraction that is equivalent to 5/6
Answer:
10/12 , 15/18 , 20/24 ...etc
Someone answer this please
Answer:
[tex] 1,334.5 \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cylinder h = 17 cm
Radius of the cylinder r = 5 cm
[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]
Write 25 4 as a mixed number.
Answer:
6 1/4
Step-by-step explanation:
The number 6 with 1/4
so basically see how many times 4 goes in to 25 which is 6 times then take the remainder which is one so 6 1/4
Can i be Brainliest
Clare has $150 in her bank account. she buys a bike for $200. what is Clare's account balancenow?
Answer:
-50
Step-by-step explanation:
Answer:
Step-by-step explanation:
if she had $150 in he bank account and buys a bike that costs 200 she possibly can't afford it since she is $50 dollars short so even if she borrows $50 dollars she has to repay the person 50 dollars before she starts earning another money so i think it is -50. if it doesn't help am sorry I hope you got this answer correct. goodluck
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x – 2
y>5/2x-2 (should be the greater than or equal to sign)
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (-2,-2) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
9514 1404 393
Answer:
A) The first inequality has a dashed boundary line with a slope of 4 and a y-intercept of -2. The shading is below the line. The second inequality has a solid boundary line with a slope of 5/2 and a y-intercept of -2. The shading is above the line. The solution space is a narrow wedge extending up and to the right of the y-intercepts at (0, -2) through the fourth quadrant into the first quadrant.
B) Not in the solution space. The point does not satisfy y < 4(-2) -2 because -2 is not less than -10.
Step-by-step explanation:
Part A:
The boundary line of each inequality is in slope-intercept form, so can be drawn easily by finding points with the appropriate slope=rise/run from the common y-intercept at (0, -2).
The first inequality does not include the "or equal to" case, so the boundary line will be dashed. The relation of y and the inequality symbol is y < ( ), so the shading will be below the line, where y-values are less than those on the line.
The second inequality includes the "or equal to" case, so the boundary line is solid. The relation of y and the inequality symbol is y ≥ ( ), so the shading will be above the line, where y-values are greater than those on the line.
The two shaded areas overlap in a narrow wedge between lines with slope 2.5 and 4. The lower-left point of the wedge is the common y-intercept at (0, -2). It extends through the fourth quadrant into the first quadrant. This wedge is the solution area.
__
Part B:
Based on the above description, no part of the solution space is in the third quadrant, where the point (-2, -2) lies. The point is not in the solution space. It does not satisfy the first inequality:
[tex]-2\nless(4)(-2)-2=-10[/tex]
In a equation is it true that when a variable is alone you have to add a number 1 to it?
I’m wondering since I have to add it to my notes.
someone plz help :(
i'm struggling heree
Answer:
39.96 in²
Step-by-step explanation:
10.8x3.7=39.96
Answer:
19.98
Step-by-step explanation:
area=½×base ×height
½×10.8×3.7
=19.98
Find the equation of the straight line passing through the point (3, 5)
which is perpendicular to the line
y = 3x + 2
Answer:
y = -1/3x + 6
Step-by-step explanation:
the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.
5 = -1/3(3) + b
5 = -1 + b
6 = b
Relay Race Results
10. The table shows the time each
member of two relay teams took
to complete her leg of a relay race.
Team II won the race by 2 s. How
many seconds did Trina take to
run her leg of the race?
Leg
1
Team 1
Name
Time (s)
Ali
22
Bryn 25
Mai
23
Team II
Name
Time (s)
Lea
23
Niki
22
Trina
2
3
4
Tara
21
Sara
20
93
because if the team second wones the match with two points then the answer will be 93
What is the circumference of the circle that has a radius of 8.6mm?
what fraction is 40 minutes of 8 hours
40 minutes of 8 hours as a fraction is 1/12.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given are 40 minutes to 8 hours.
We can write -
(40 minutes/8 hours)
{40 minutes/(8 x 60)}
(40/480)
1/12
Therefore, 40 minutes of 8 hours as a fraction is 1/12.
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Is it true that congruent figures have the same shape and the same size?
TRUE OR FALSE?
22 POINTS BTW!!
Answer:
yahh
Step-by-step explanation:
thats true
i know its help
Answer:
True
Step-by-step explanation:
Two congruent figures have the same shape and size.
7 - 13a = 27 solve for A
Answer:
a = -20/13
Step-by-step explanation:
7 - 13a = 27
-13a = 20
a = -20/13
Let's check
7 - 13(-20/13) = 27
7 + 260/13 = 27
7 + 20 = 27
27 = 27
So, a = -20/13 is the correct answer!
Please help me. It would be greatly appreciated
Answer:
11a) x=18
11b) 6x=108
11c) 4x=72
Step-by-step explanation:
11a) A line is equal to 180 degrees. Therefore, 6x and 4x have to add up to be 180.
6x+4x=180
10x=180
x=18
11b) We know what x is so we have to plug x into the expression. 6x=6(18)=108. 6x=108
11c) We know what x is so we have to plug x into the expression 4x=4(18)=72
4x=72.
If this helps please mark as brainliest
I need help with these
Answer:
1. − 5/4
2. 77/3
Step-by-step explanation:
SO SORRY IF THIS IS WRONG!! T^T
ratiearbiteracy
toen we zui
ii
Ghics12
The average inflation rates for the period 2016 to 2017 are shown in the following iable.
2017
1 2018
Average Inflation rate 4,51%
6,59%
Cost of a brown bread
R9.99
A
8.1.1
Explain the meaning of the term inflation rate.
8.1.1
Calculate the cost of a loaf of brown bread in 2017 by using the average
inflation rates that are given in the table above.
ON NO: 3
: MAPS AND SCALES
ensure Learners know the following:
IBER/RATIO SCALE
Plz show the work.........
Answer: 32A
Step-by-step explanation: KYXS
5.4 ⋅ 103 to standard form.
9+2+4+6+123=?
please help
Answer:
144
Step-by-step explanation:
9+2+4+6+123=
11+10+123
21+123
144
If YG = 12, then EG is?
How is it not 6? Please help, no links
Answer:
I THINK ANSWER IS 12 because DIAGONALS BISECT EACHOTHER
Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.60 per mile driven
The second plan has no initial fee but costs $0.80 per mile driven.
For what amount of driving do the two plans cost the
same?
miles
What is the cost when the two plans cost the same?
3
From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What is unitary method?The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.
x= miles
60+0.6x=0.8x
0.8x-0.6x=60
0.2x=60
x=60/0.2
=300 miles
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A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:
Salary Education
34 3
66 1
89 4
56 3
71 7
80 2
111 7
51 0
23 7
36 2
100 1
35 1
71 6
68 9
163 5
56 0
86 5
58 4
128 9
33 0
Salary Education
34 3
66 1
⋮ ⋮
33 0
a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round answers to 2 decimal places.) Salaryˆ= + Education
b. Interpret the coefficient for Education.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $8,590.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $8,590.
c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)
Salaryˆ $
Answer:
y = 4.69X + 52.93 ;
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;
$86000
Step-by-step explanation:
Given the data:
X:
34
66
89
56
71
80
111
51
23
36
100
35
71
68
163
56
86
58
128
33
Y:
3
1
4
3
7
2
7
0
7
2
1
1
6
9
5
0
5
4
9
0
The regression equation obtained using a linear regression calculator :
y = 4.689X + 52.93182
Where ;
y = Salary ; x = Educational attainment
Slope is the Coefficient of x = 4.689
Intercept = 52.93
The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)
Therefore, salary increases by about $4690 for every unit increase.
If x = 7
y = 4.689(7) + 52.93182
y = 32.823 + 52.93182
y = 85.7548
Salary =, $86,000
Me jay bought a television for 9560, he used it for some years and later sold it at a profit of 1439. Find his selling price
Answer:
10999
Step-by-step explanation:
9560 + 1439 = 10999
Thenks and mark me brainliest :)
10,14,18,22,26 find the 12 term of the sequence
Answer:
30,34,38,42,46,50,54,58,62,66,70
The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?
Answer:
4 sweaters
Step-by-step explanation:
If the ratio is 7:2, then 14//7 = 2
2x2=4
Calculate the perimeter of a square with side 12cm
Answer: 48 cm
Step-by-step explanation:
12 + 12 + 12 + 12 = 48
In 1965, the population of a country was 192 thousand to 3 significant figures.
In 2020, the population of that country was 366 thousand to 3 significant figures.
Work out the percentage increase in population. Give your answer correct to 2 significant figures.
The percent change in population is 90.65%.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given population of country in 1965 = 192 thousand = 1,92,000.
population of country in 2020 = 366 thousand = 3,66,000
the increase in population is = 366000 - 192000 = 1,74,000
the percentage increase = (100)(increase in population)/(1965 population)
the percentage increase = (100) (174000)/(192000)
the percentage increase = 90.625%
Hence the percent increase is 90.62%.
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Help ME WITH THIS QUESTION THANKS !
Answer:
6 units
Step-by-step explanation:
9x - 4 = 2 ( 5x - 5 )
9x - 4 = 10x - 10
10x - 10 = 9x - 4
10x - 9x = - 4 + 10
x = 6