Answer: The confidence interval will be -91.87 < μ₁-μ₂ <751.87
Step-by-step explanation: Confidence Interval is the interval of certainty in which the true population mean is in.
In a confidence interval for the difference between two averages with a sample size less than 30, the calculations are:
[tex]x_{1}-x_{2}[/tex] ± [tex]t.S_{p}\sqrt{\frac{1}{n_{1}} +\frac{1}{n_{2}} }[/tex]
in which
x₁ and x₂ are the sample mean of each data set
t is the probability found in the t-table whose df = n₁ + n₂ - 2
[tex]S_{p}[/tex] is the pooled estimate of the common standard deviation, assuming variances are similar, and can be calculated as:
[tex]S_{p}=\sqrt{\frac{(n_{1}-1)(s_{1})^{2}+(n_{2}-1)(s_{2})^{2}}{n_{1}+n_{2}-2} }[/tex]
n₁ and n₂ are sample sizes
The data to construct the interval are:
Mine A:
x₁ = 8260
s₁ = 251.9
n₁ = 5
Mine B:
x₂ = 7930
s₂ = 206.52
n₂ = 5
Then:
[tex]S_{p}=\sqrt{\frac{(5-1)(251.9)^{2}+(5-1)(206.52)^{2}}{8}[/tex]
[tex]S_{p}=\sqrt{\frac{253814.44+170602.04}{8}[/tex]
[tex]S_{p}=[/tex] 230.33
Using a table, for a 99% confidence and df = 8, t-score = 2.896.
Doing calculations:
(8260-7930) ± (2.896)(230.33)([tex]\sqrt{\frac{1}{5} +\frac{1}{5} }[/tex])
330 ± (2.896)(230.33)([tex]\sqrt{0.4}[/tex])
330 ± 421.87
Interval will be
[tex]-91.87<\mu_{1}-\mu_{2}<751.87[/tex]
A 99% confidence interval for the difference between the true average heat-producing capacities of coal from the mines is between -91.87 and 751.87
Find the measure of angle A.
3)
74
16x + 1
19x
A
A) 82°
C) 57°
B) 69°
D) 49°
Answer:
I think its 69* but I be wrong so good luck
Step-by-step explanation:
THE CORRECT ANSWER IS 12 FAVORS!!
Answer:
yes the answer in 12 fpavers
Step-by-step explanation:
wa
r(x)=x^2-5x-13, s(x)=-3x+5. find r(s(-1)
HELPP ASAP
The ratio of boys to girls in the sixth grade is 3:4. If there are 48 girls, what is the total number of sixth graders?
36
55
60
84
Set up two ratios: 3:4 and x:48. The ratio always stays the same, so the value that you increased the girls by will be equal with the boys. To get from 4 to 48, you need to multiply by 12. So, to get a proportional number of boys, multiply 3 x 12.
The ratio of boys to girls is 36:48. The question is asking how man total, so add. 36 + 48 = 84.
There are 84 total sixth graders.
Answer:
Step-by-step explanation:
I believe it is 84
Bill is making accessories for the soccer team. He uses 838.95 inches of fabric on headbands for 32 players and 3 coaches. He also uses 273.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
There was 23.29 inches used on a headband for each player.
And 8.54 inches used on a wristband for each player.
To find out how much fabric for headbands and would beused for each player/person you would do
So, if you substitute the values in it is
And finally, to find how much fabric is used on a wristband for each player/person you would use the same formula.
PLEASE HELP THIS IS DUE AT 10 PM
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
Suppose that data collected from police reports of motor vehicle crashes show a moderate positive correlation between the speed of the motor vehicle at the time of the crash and the severity of injuries to the driver. Answer the following question based only on this information.
True or false: Traveling faster in a motor vehicle at the time of a crash causes more severe injuries to the driver.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
A moderate positive correlation, e.g. r = 0.5 or 0.6, shows that there is some relationship between driving faster and accidents that result in more severe injuries. But that relationship is not very strong or solid and can result from other variables being involved or simply randomness. You cannot affirm that X causes Y if the correlation is not strong.
please help me with this please
The sum of two integers is 9 their difference is 5 what are the 2 integers
#11 PLEASE HELP!!! URGENT!! NEED ASAP!!!
Answer:
See bolded answers
Step-by-step explanation:
Since 1=100%, then 1.15=115%, meaning x increased by 15% is correct
Since 1=100%, then 0.15=15%, meaning 15% of x is correct
Since 1=100%, then 0.85=85%, meaning x decreased by 15% is correct
What is the slope of the line?
Answer:
c. 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -1)
Point (3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{0+1}{3-0}[/tex]Add/Subtract: [tex]m=\frac{1}{3}[/tex]Derek has 6 feet of ribbon that he needs to cut into 2/3 feet pieces. How
many pieces of ribbon can Derek cut?
Answer:
The correct answer is 9 pieces of ribbon.
Step-by-step explanation:
9 is correct because if you do 6 divided by 2/3 you equal 9, therefore 9 is the correct answer
HAVE A GOOD DAY!
at which values of x does the graph of f(x)=x^2-x-2/(x^2-1)(x^2-16) have a vertical asymptope? check all that apply
Answer:
x = -4, 1, 4
Step-by-step explanation:
The function is given as:
f(x) = (x² - x -2)/[(x² - 1)(x² -16)]
We want to find the values of x where the graph will have vertical assymptote.
Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.
Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.
We have;
[(x² - 1)(x² -16)] = 0
Thus,
x² - 1 = 0
Or
x² - 16 = 0
So;
x² = 1
x = √1
x = 1
Or
x² = 16
x = ±√16
x = ±4
Values of x that give vertical assymptote are;
x = -4, 1, 4
find the value of x^2 +xy if x =4 and y = 3
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
Highlands
What is the range of rainfall for the highland storms?
2 46 8 10 12 14 16 18 20 22 24 26 28 30 32
Raintall (mm)
What is the range of rainfall for the lowland storms?
Lowlands
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Answer:
Question No 1
The range of rainfall for the highland storms is 44 mm
Question No 2
The range of rainfall for the lowland storms is 30 mm
Step-by-step explanation:
Question 1
What is the range of rainfall for the highland storms?
2 46 8 10 12 14 16 18 20 22 24 26 28 30 32
First we arrange data in ascending order.
2 8 10 12 14 16 18 20 22 24 26 28 30 32 46
Now we have to find range. The formula used is: [tex]Range=Maximum\:Value-Minimum\:Value[/tex]
In the given data set:
Maximum Value = 46
Minimum Value = 2
Finding range by putting values in the formula:
[tex]Range=Maximum\:Value-Minimum\:Value\\Range=46-2\\Range=44[/tex]
So, the range of rainfall for the highland storms is 44 mm
Question 2
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
First we arrange data in ascending order.
The data is already arranged in ascending order
Now we have to find range. The formula used is: [tex]Range=Maximum\:Value-Minimum\:Value[/tex]
In the given data set:
Maximum Value = 32
Minimum Value = 2
Finding range by putting values in the formula:
[tex]Range=Maximum\:Value-Minimum\:Value\\Range=32-2\\Range=30[/tex]
So, the range of rainfall for the lowland storms is 30 mm
Answer:
sorry im late
Step-by-step explanation:
the highland storms is 30 and the lowland is 26 right 2020edge
Suppose your top drawer contains different colored socks: 14 are white, 4 are black, 12 are pink, and 8 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction. (a) What is the probability that you do not get a blue pair of socks?
Answer:
8/38
Step-by-step explanation:
38 - total
8 - blue
please help!!! will give branliest!!
Answer:
Step-by-step explanation: The indicated angles using the diagram below and state the angle relationships.
1160
33
26
C
Angle Measure
Example: Le = 1540
La=
I
Angle Relationship
e is same-side interior w/ 260
za is
eb is
LC =
d
16
C is
ed is
4
Brandi wants to participate in an after-school program. She has to choose between one art class, three dance classes, bwo gymnastics classes, or three sports casses. She cannot decide, so she writes the name of each class on a slip of paper and draws one slip out of a bag. What is the probability that she does not draw a dance class?
Answer:
Step-by-step explanation:
Its 1/3 just put that it will be right I promise
How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?
A. 12 m
B. 4 m
C. 133 m
D. 245 m
Answer: C
Step-by-step explanation: I took the test!!
The required distance that the ladder foot away from the base of the wall is √133 meters. Option C is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133
Thus, the required distance that the ladder foot away from the base of the wall is √133 meters.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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Which of the following represents the measures of all angles coterminal with a -220° angle?
O 360 + 140n, for any whole number n
O 360 + 140n, for any integer n
O 140 + 360n, for any whole number n
O 140 + 360n, for any integer n
The measurement of all angles co-terminal with a -220° angle is represented by 140+ 360 n, for any integer number n.
What are Co-terminal angles?These are the angles which shares the same initial line or terminal side. They are obtained by adding or subtracting 360° from the given angles.
Given, angle is -220° then its one positive co-terminal angle= -220°+360 = 140°
So, 140° is a positive co-terminal angle of -220°.
Therefore, co-terminal angle must be the type of 140°+360° n,
Learn more about Co-terminal angles.
https://brainly.com/question/14692520
#SPJ5
Which equation can be used to solve for x in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7
Answer:
I'm answering this for points
please help me asap
Answer:A, C, C
Step-by-step explanation:
Answer:
rueiwiejr rjrjrjrjrjrrjriirjrjrjrrj
Which ratio is larger, 10 to 15 or 14 to 21?
Answer:
I am pretty sure that is it 14 to 21
Step-by-step explanation:
Sorry if i am wrong
Help please! This has to do with the Pythagorean theorem.
Answer:
x = 11.49
Step-by-step explanation:
Apply the pythagorean theorem to find x
Thus:
a² + b² = c²
Where,
a = x = ???
b = 8
c = 14 (hypotenuse)
Plug in the values
x² + 8² = 14²
x² + 64 = 196
x² = 196 - 64 (subtraction property of equality)
x² = 132
x = √132
x = 11.49 (approximated to nearest hundredth)
in general the value measured by the vertical axis is called the _____ variable
Answer:
Dependent
Step-by-step explanation:
in general the value measured by the vertical axis is called the DEPENDENT variable.
An education researcher is comparing four different algebra curricula. Eighth grade students are randomly assigned to one one of the four groups. Their state achievement test scores are compared at the end of the year. Use the appropriate statistical procedure to determine whether the curricula differ with respect to math achievement. An alpha criterion of .05 should be used for the test.
n mean std
curriculum 1 50 170.5 14.5
curriculum 2 50 168.0 12.8
curriculum 3 50 167.6 17.7
curriculum 4 50 172.8 16.8
Answer:
Hello your question has some missing parts attached below is the missing part of the question
answer :
a) population mean
b) Null hypothesis: H0 : u1 = u2 = u3= u4 while the
Alternate hypothesis H1 : shows that all given values are equal
Step-by-step explanation:
a) Define the parameter of interest in the context
The parameter of interest in the context is the population mean
b) state The Null hypothesis and the alternate hypothesis
Null hypothesis: H0 : u1 = u2 = u3= u4 while the
Alternate hypothesis : H1 : shows that all given values are equal
PLEASE HELP!! IT DUE TODAY! im begging you please help me out
Answer:
11(2r+1)
16(2t+1)
9(4+c)
14(3k+2)
Step-by-step explanation:
no real way to explain besides factor them and take the largest common factor out
Answer:
1) 11(2r+1)
2) 16(2t+1)
3) 9(4+c)
4) 14(3k+2)
Step-by-step explanation:
Factor these expressions, find the GCF and divide the GCF on both the numbers, keep the numbers and put them in parenthesis and put the GCF on the outside of the parthensesis.
Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub
Answer:
The total value of the discount is $14
Step-by-step explanation:
40 x 0.35 = 14
1. Find the slope of the line that passes thru the points (7,11) (13,17).
Answer:
go on cymath it helps alot with solving slopes
Step-by-step explanation: