Answer:
b
Step-by-step explanation:
:)
Of interest is to determine the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. A simple random sample of 31 students enrolled in graduate programs was selected, and the age of each student when they took the comprehensive exam was recorded. The mean age at the time of taking the comprehensive exam for this sample of 31 students was 27.5 years with a standard deviation of 2.9 years; there were no outliers in the sample that would lead one to suspect heavy skewness in the distribution. If appropriate, use this information to calculate and interpret a 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams. Use this information to answer questions 3-5
Answer:
The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 31 - 1 = 30
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years
The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years
The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.
So like how do I do this?
Answer:
Step-by-step explanation:
The legs of the triangle have lengths 9 and 12. The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].
[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]
Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)
There are infinitely many of these triples: 3,4,5 5,12,13 are examples. The triple in this problem is 3 times the 3,4,5 triple.
x= 15
No
H²= O²+A²
x²= 9²+12²
x²= 81+144
x²= 225
x= √225
x= 15
A bookstore keeps track of books sold in one day? Approximately how many books sold were hardcover nonfiction?
Answer:
27%
Step-by-step explanation:
The total books sold were 182 and the amount of books sold that were nonfiction hardcover were 49 as represented in the frequency table.
To find the percentage we must divide the nonfiction hardcover by the total books.
49/182≈0.269 or 0.27
Multiply the decimal by a 100 to change it into a percentage, so our answer is 27%.
Answer:a 27%
Step-by-step explanation:
Respond Quick PLZ help me out determines if I fail
Answer:
1. infinite many solutions
2. With solution: x+y=7 ,2x+y=6
Without solution: x+y=8 ,x+y=9
Infinite solution: x+y=3, 2x+2y=6
Step-by-step explanation:
By the way, can you follow me?
Thanks!
An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. The coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. The remaining 15 athletes did not participate in any type of flexibility program during the four weeks.
Which statements about this study are true?
This study uses random sampling.
This study uses a control group.
This study uses a repeated measures design.
This study uses blocking.
This study uses blinding.
The TRUE statements about the study described above are :
• USE OF RANDOM SAMPLING
• USE OF A CONTROL GROUP
When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.
Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.
The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.
Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.
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Answer:
This study uses random sampling.
Step-by-step explanation:
i got it wrong
HELP ASAP
photo attached
Answer:
D. undefined
General Formulas and Concepts:
Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Derivatives of Parametrics: [tex]\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{dx}{dt} = 5[/tex]
[tex]\displaystyle \frac{dy}{dt} = sin(t^2)[/tex]
Step 2: Differentiate
[x Derivative] Basic Power Rule: [tex]\displaystyle \frac{d^2x}{dt^2} = 0[/tex][y Derivative] Trig Derivative [Chain Rule]: [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2][/tex][y Derivative] Basic Power Rule: [tex]\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}[/tex][y Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)[/tex][Derivative] Rewrite: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}[/tex]Anything divided by 0 is undefined.
Topic: AP Calculus BC (Calculus I/II)
Unit: Differentiation with Parametrics
Book: College Calculus 10e
(8+2b)+(-4+6x)+(6+9m)
Answer:
2 b + 9 m + 6 x + 10
Step-by-step explanation:
2 b + 4 + 6 x + 6 +9 m
2 b + 6 x + 10 + 9m
2 b + 6 x + 9 m + 10
= 2 b + 9 m + 6 x + 10
Answer:
multiply the +sign with the second bracket.Also do the same with the third bracket.But for the first bracket just remove the bracket and then correct the like terms and solve itEli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much money will be in Eli's account at age 21
Answer:
Is C.$24 I use the I=Prt
Please evaluate 7/13×8/11
should be in fraction form!
will be marked brailiest
Answer:
56/143 ([tex]\frac{56}{143}[/tex])
Answer:56/143
Step-by-step explanation:
11. In circle H, if mDHG = (11x - 36)* and mGHF = (x + 12), find mDG.
mˆDG=151∘∘
An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string
The measure of angle ∠DHG of the circle is = 151°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the measure of angle ∠DG of the circle be A
Now , the value of A is
Let the measure of m∠DHG = ( 11x - 36 )°
The measure of m∠GHF = ( x + 12 )°
And , the angles m∠DHG = m∠EHF ( vertically opposite angles )
And , the angles m∠GHF = ∠DHE ( vertically opposite angles )
So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360° ( total angle of a circle = 360° )
On simplifying , we get
2 ( 12x - 24 ) = 360
Divide by 2 on both sides , we get
12x - 24 = 180
Adding 24 on both sides , we get
12x = 204
Divide by 12 on both sides , we get
x = 17
Now , the measure of m∠DHG = ( 11x - 36 ) = 151°
Hence , the measure of m∠DHG of circle is 151°
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There are 16 kilometers in 10 miles how many kilometers are in 5 miles?
Answer:
8 kilometers
Step-by-step explanation:
NCERT SOLUTIONS FOR CLASS 7
MATHS
ALL CHAPTERS
Answer:
https://www.learncbse.in/ncert-solutions-for-class-7-maths/
Thirty two students try out for the basketball team. There are 5 players on the court during a game and the coach wants three times as many players on the team. How many students will NOT be a part of the basketball team?
Answer:
17
Step-by-step explanation:
Which number line is the correct solution to y z l?
-5
43 -2 -1 0
1
2
3
4
5
B
-5
4 -3 -2
-
0
2
3
5
4
-5
-3
-2 -1
o
2
3
D
-5 4 3 2 1
2
9514 1404 393
Answer:
A C D AStep-by-step explanation:
These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.
__
1. The "slope-intercept form" of a linear equation is ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
Note that the left side is "y =", eliminating the last two answer choices.
The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...
y = 2x + 5 . . . . matches A
__
2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.
graph C is the appropriate representation
__
3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.
126 < -7x . . . . given
126/-7 > x . . . . divide both sides by the coefficient of x, -7
-18 > x . . . . . matches D
__
4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...
A: 90° . . . . the correct answer choice
B: 100°
C: 180°
D: 185°
Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver 1 to the shark is 47 degrees, and the angle from diver 2 to the shark is 40 degrees. How far is diver 2 from the shark?
Answer: Approximately 14.647147438893 meters
Round this value however you need.
===============================================================
Explanation:
Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.
Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.
The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.
Here's what we have so far:
side a = unknown = what we want to solve forangle A = 47 degreesside c = 20 meters = distance between the two diversangle C = 93 degreesWe can apply the law of sines to find side 'a'.
a/sin(A) = c/sin(C)
a/sin(47) = 20/sin(93)
a = sin(47)*( 20/sin(93) )
a = 14.647147438893
Make sure your calculator is in degree mode.
The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.
Write the equation in standard form for the circle with center (0,
–
8) and radius 2
19.
Use this link to find your answer
https://lalinks.org/linksweb
Evaluate 5/8 × 5/9 Give your answer in its simplest form.
Answer:
[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]
Answer:
25 / 72
Step-by-step explanation:
5/8 x 5/9 =
5 x 5 / 8 x 9 =
25/72
Weird math question.
Answer:
It is 4/11
Step-by-step explanation:
Let x = 0.363636363636
Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get
100x = 36.363636363636
Now subtracting first equation from second we get
99x = 36
and hence
x = 36/ 99
= (9 × 4) / (9 × 11)
which then equals
= 4/11
Answer:
It is 4/11
Step-by-step explanation:
1. At a clothing store, Zoey bought 2 shirts for $7.25 each and 2
pairs of jeans for $24 each. She used a coupon for $10 off the
total price of the clothes. The discounted price of the clothes Zoey
bought can be found using this expression.
[2(7.25) + 2(24)] - 10
What is the discounted price in dollars and cents of the clothes
Zoey bought?
In order to receive full credit on this question you must show your
calculations. You may NOT use a calculator. Show EACH step.
Answer:
52.5 is the discounted price.
Step-by-step explanation:
(2 · 7.25 + 2 · 24) - 10
(14.5 + 2 · 24) - 10
(14.5 + 48) - 10
62.5 - 10
= 52.5
I had solved the expression you had provided, receving 52.5 as the discounted price in dollars. The work is above. Hope this helped!
Geometry Question, please help! WORTH 20 POINTS
Answer:
zy = 65
Step-by-step explanation:
a full circle is 360*
half of that is 180*
180 - 115 = 65
Which choice is equivalent to the fraction below?
6/17
A. 17 divided 6
B. 6 - 17
C. 6•17
D. 6 divided 17
Answer:
6 divided 17 is equivalent to 6/17
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
i think its 28.27
Step-by-step explanation:
Step-by-step explanation:
[tex]v \: = \: pi \: \times \: r {}^{2} \: \times h[/tex]
Volume = 3.14×2.25×4 = 28.26 yd³
13. Find the measure of angle ABC. B 8x 6x 6x A С
Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
#LearnWithBrainly
Write each equation in slope-intercept form.
12y =(8x - 48)/3
Answer:
y=(2/9)x-(4/3)
Step-by-step explanation:
12y=(8x-48)/3
multiply by 3 on both sides
36y=8x-48
divide by 36 on both sides
y=(8/36)x-(48/36)
simplify fractions
y=(2/9)x-(4/3)
Solve the expression. 8 + (37-19)
Answer:
26
Step-by-step explanation:
find the missing side of each triangle
Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
#teamtrees #PAW (Plant And Water)
What is the mean absolute deviation of 35 38 41 35 36 55
Answer:
7.8333
Step-by-step explanation:
Why correlation does not prove causation ?
Answer:
here you go
Step-by-step explanation:
"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder
Why does correlation not equal causation example?
It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.
Which value is NOT equivalent to the others
PLS HELP :(
Answer:
Its 3 on top of 4
Answer:
The top right one
Step-by-step explanation:
4x4(2)
what is the slope of any line parallel to the line 9x+4y=7?
Answer:
-9/4
Step-by-step explanation:
First you need to change the equation to slope-intercept form (y=mx+b). To start, you need to get y alone, so subtract 9x on both sides to give you 4y=-9x+7. Next, divide 4 from both sides giving you y=-9/4x +7/4. The slope is the coefficient of x.