Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
anyone help??
ive friends take a maths test
Adam, Brandon, Chen together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores
Answer:
[tex]Adam = 60[/tex]
[tex]Brandon = 66[/tex]
[tex]Chen = 74[/tex]
[tex]Damion = 75[/tex]
[tex]Erica = 75[/tex]
Step-by-step explanation:
Given
Represent each friend with the first letter of their name
So:
[tex]A + B + C =200[/tex]
[tex]B + C + D = 215[/tex]
[tex]C + D +E= 224[/tex]
[tex]A + B + C + D + E = 350[/tex]
[tex]D , E > C[/tex]
Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]
[tex]200 + D + E = 350[/tex]
Collect like terms
[tex]D + E = 350-200[/tex]
[tex]D + E = 150[/tex]
Make D + E the subject in [tex]C + D +E= 224[/tex]
[tex]D + E = 224 - C[/tex]
Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]
[tex]224 - C = 150[/tex]
Collect like terms
[tex]C = 224 - 150[/tex]
[tex]C = 74[/tex]
Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]
[tex]A + B + 74 = 200[/tex]
[tex]A + B =- 74 + 200[/tex]
[tex]A + B =126[/tex]
[tex]B + 74 + D = 215[/tex]
[tex]B + D = -74 + 215[/tex]
[tex]B + D = 141[/tex]
So, we have:
[tex]A + B =126[/tex]
[tex]B + D = 141[/tex]
[tex]D + E = 150[/tex]
We have: [tex]D , E > C[/tex]
i.e.
[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]
For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,
[tex]D = E = 75[/tex]
i.e.
[tex]75 + 75 = 150[/tex]
So, we have:
[tex]D = 75[/tex]
[tex]E = 75[/tex]
Solve for B
[tex]B + D = 141[/tex]
[tex]B + 75 = 141[/tex]
[tex]B = 141 - 75[/tex]
[tex]B = 66[/tex]
Solve for A
[tex]A + B =126[/tex]
[tex]A + 66 = 126[/tex]
[tex]A = 126 - 66[/tex]
[tex]A = 60[/tex]
Add to solve: 2 100 + 7 10
Answer: B
Step-by-step explanation: 72/10. Because 2/100 + 7/10 is 0.72 and you get the point lol.
Find the measure of Arc AD.
Pls help me
Answer:
arc AD = 138°
Step-by-step explanation:
Recall: if two inscribed angles are subtended by the same arc, the two angles are congruent or equal to each other based on the inscribed angle theorem.
<ABD and <ACD are two inscribed angles subtended by the same arc, therefore, they are equal.
Thus:
7x + 20 = 55 + 2x
Solve for x. Collect like terms
7x - 2x = 55 - 20
5x = 35
Divide both sides by 5
x = 35/5
x = 7
✔️m<ACD = ½(arc AD) (Inscribed angle theorems)
Substitute
55 + 2x = ½(arc AD)
Plug in the value of x
55 + 2(7) = ½(arc AD)
55 + 14 = ½(Arc AD)
69 = ½(Arc AD)
Multiply both sides by 2
2*69 = Arc AD
138° = arc AD
arc AD = 138°
A survey of 300 students from a New York State School District reveals that 112 favor year round school with two week vacations every ten weeks. Construct the 98% confidence interval for the true population proportion of all New York students who favor year round school.
Answer:
The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A survey of 300 students from a New York State School District reveals that 112 favor year round school with two week vacations every ten weeks.
This means that [tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3733 - 2.327\sqrt{\frac{0.3733*0.6267}{300}} = 0.3083[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3733 + 2.327\sqrt{\frac{0.3733*0.6267}{300}} = 0.4383[/tex]
The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).
Can somebody help me please
Answer:
A. 34/40
Step-by-step explanation:
What does the digit 7 represent in 701, 280?
O Seven hundred
O Seventy thousand
Seven hundred thousand
Seven thousand
Answer: seven hundred thousand
Answer:
The 7 represents the 10,000
Step-by-step explanation:
Its not the hundred because the 2 in 280 is
The number of red tiles in a sack is 5 more than 3 times the number of green tiles in the sack. The
sack contains 35 red tiles, How many green tiles does the sack contain?
Pls help I need this pls help have a good day
A.12
B.10
C.9
D.not here
Answer:
B. 10
Step-by-step explanation:
10 x 3 = 30+5 = 35
Find the product of 2 numbers whose sum is 11 and difference is 3
Answer:
28
Step-by-step explanation:
x,y
X+y=11
X-y=3
x=y+3
y+3+y=11
2y=8
y=4
X=7
Xy=28
Answer:
7+4=11
7-4=3
7×4=28
Step-by-step explanation:
...................................
Which of these is the smallest number?
Answer:
E. 1/2
Step-by-step explanation:
1/2 as a decimal is .5
The reason it is not B is because 1/3 as a decimal is a repeating decimal.
what is the distance between the first integer that is less than square root 40 amd the first integer that is greater than square root of 125?
Answer:
6
Step-by-step explanation:
[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]
How long will it take you to double an amount of $500 if you invest it at a rate of 7% compounded monthly? Round to 3 decimal places.
Answer:
9.931 years
Step-by-step explanation:
Find the surface area of the following figures.
with solution please. T-T
Answer:
I will do 1 2 3 and 5 for you:
Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.
There are 6 sides of a cube so,
5 x 5 = 25 area of one flat surface.
Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1
We need to find area of the two circles:
3(given radius)^2(radius being squared) x 3.14(pi)
3 x 3 = 9
9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)
28.26 x 2 = 56.52 (area of 2 circles)
Now we need to find the round surface, but first we need to find circumference:
2 x 3.14 x 3 = 18.84
18.84(circumference) x 5(height) = 94.2 (area of round surface)
Now lets add all the given areas to find surface area:
56.52 + 94.2 = 150.72 cm^2 is your answer for question 2
2 x 4 = 8
8 x 2 = 16
4 x 5 = 20
20 x 2 = 40
2 x 5 = 10
10 x 2 = 20
Add all given areas:
16 + 40 + 20 = 76 cm^2 is your answer for question 3
452.16 cm^2
4 x 3.14 x 6^2
4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4
8 x 4 = 32, 32 divided by 2 = 16
since there are 4 sides,
4 x 16 = 64
Don't forget the bottom!
4x 4 = 16
Lets add the given areas:
64 + 16 = 80 for question 5
A customer buys 40 meters of cable. How many centimeters of cable did the customer buy ? (1 meter = 100 centimeters
Answer:4000
Step-by-step explanation:40 times 100 is 4000
Assume you start a walk at point (0, 0), facing east. You turn left and them move forward 10 steps. Next, you turn right and move forward for 8 steps. Next, you turn right and take 5 steps. Finally, you turn left and walk forward for 12 steps. At the end of your walk, what is the x value of your position, (x, y)
Answer:
x = -5
Step-by-step explanation:
The ( x , y ) values = ( -5 , 20 )
attached below is the schematic representation of the solution
following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5
plz help me i dont know the answer
Answer:
D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)
Step-by-step explanation:
5log₁₀x+log₁₀20-log₁₀10
5log₁₀x+log₁₀20-1
log₁₀x⁵+log₁₀20-1
log₁₀20x⁵-1 (Option D)
5log₁₀x+log₁₀20-log₁₀10
log₁₀20x⁵-log₁₀10
log₁₀(20x⁵/10)
log₁₀(2x⁵) (Option E)
23. Which set of values represents the domain of th
graph shown below?
3
2
-3-2
N
الي
-4
-51
a. {-2,0, 2,4}
b. {-3, -2, -1,0}
c. {-2, -2, -1, 0}
d. {2,4,6,8}
Answer:
a. {-2, 0, 2, 4}
Step-by-step explanation:
The set of values of the Domain of any graph are the set of x-values (input) that are plotted on the x-axis against the y-values.
In the graph given, the set of x-values that represents the Domain is: {-2, 0, 2, 4}. These cam be referred as the input value as well.
QUESTION 4 of 10: Your largest customer makes a purchase and pays $5,500 on account and $6,600 cash. How much was the purchase?
0000
a) $5,500
b) $6,600
c) $12,100
d) $11,100
Answer:
The answer is C
Step-by-step explanation:
What is the distance between the points (6, 4) and (-3, 17)?
A) 22
B) √250
C) 125
D) √88
The triangle shown below has an area of 20 units squared. Find the missing side if the height is 8
Answer:
5 unitsStep-by-step explanation:
Lets keep the missing side as x
And we also know that the area of Triangle is,
[tex] \frac{1}{2} bh[/tex]
So taking this into consideration we can write a linear equation like this,
[tex] \frac{1}{2} bh = 20[/tex]
Where height is 8,
[tex] \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5[/tex]
So therefore the missing side is 5
If they sell 150 series A and 14500 series B ticket, they will earn $972500. write an equation to represent this scenario.
Answer:
Series A price = SA || Series B price = SB
150SA + 14500SB = 972500
Step-by-step explanation:
I need help find the volume of the composite solid use 3.14 for pi
Answer:
[tex]222.312\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:
Volume of the cone: [tex]\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912[/tex]
Volume of the cylinder: [tex]2^2\cdot 3.14 \cdot 15=188.4[/tex]
Thus, the total volume of the solid is:
[tex]33.912+188.4=\boxed{222.312\:\mathrm{in^3}}[/tex]
Can someone help! This is due right now and I'm a little confused! Thank you!
Answer:
a) 10 cucumbers
b) two fifth x, or 2/5x
c) 15 vegetables
please help!
writing in terms of i
Given:
The term is [tex]\sqrt{-80}[/tex].
To find:
The simplified form of the given term in terms of i.
Solution:
We have,
[tex]\sqrt{-80}[/tex]
It can be written as:
[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]
[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]
[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
On further simplification, we get
[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]
[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]
[tex]\sqrt{-80}=4\sqrt{5}i[/tex]
Therefore, the required term is [tex]4\sqrt{5}i[/tex].
Tonya and Emily each have an online jewelry store. Let T represent the amount of money Tonya earns daily, and let
E represent the amount of money Emily earns daily. The mean difference, D = T-E, of the amount of money that
Tonya and Emily earn on a typical day is $312. What is the correct interpretation of this value?
O On average, Tonya earns $312 daily.
O Emily is earning $312 per customer, on average.
O Tonya and Emily are each earning $312 on a typical customer.
On average, Tonya makes $312 more than Emily on a typical day.
Answer:
On average, Tonya makes $312 more than Emily on a typical day.
Step-by-step explanation:
I was just studying that question a few hours ago
Which equation applies the associative property of multiplication?
A) 1/2⋅(5/8+3/6)=(1/2⋅5/8)+(1/2⋅3/6)
B) (−4/11−2/3)−3/4=−4/11−(2/3−3/4)
C) −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)
D) 4/9⋅(−3/8)⋅9/4=4/9⋅9/4⋅(−3/8)
Answer:
C) −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)
please help me!!!!!!
Answer:
3/5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan G = HF/ HG
tan G = 6/10
tan G = 3/5
please help
-i have no clue what this is
options:
A. point in quadrant 1
B. infinite set of points on the line
C. point in quadrant 2
9514 1404 393
Answer:
B. infinite set of points on the line
Step-by-step explanation:
The lines are identical, so the set of points they have in common is an ...
infinite set of points on the line
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.
Which number range would be needed to label the students correctly?
0–4
1–5
00–75
01–75
Answer: The answer is 01 - 75.
Step-by-step Explanation: 0 - 4 and 1 - 5 aren't enough. 00 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
1-75 is the range needed to label the students correctly.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.
There are 75 students in the school who can participate in the experiment.
0 - 4 and 1 - 5 aren't enough.
0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
Hence, 1-75 is the range needed to label the students correctly.
To learn more on Statistics click:
brainly.com/question/29342780
#SPJ2
I need help answering this question please help
Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?
9514 1404 393
Answer:
x = 15°
Step-by-step explanation:
Same-side interior angles are supplementary.
(4x° +12°) + 108° = 180°
4x° = 60° . . . . . . . . . . . . . . subtract 120°
x = 15° . . . . . . . . . . . . divide by 4