Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:
[tex]\overline{x}=\frac{\Sigma x}{n}[/tex]
[tex]\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}[/tex]
[tex]\overline{x}=[/tex] 2.08
Now, we estimate standard deviation:
[tex]s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }[/tex]
[tex]s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }[/tex]
s = 0.1564
For t-score, we need to determine degree of freedom and [tex]\frac{\alpha}{2}[/tex]:
df = 12 - 1
df = 11
[tex]\alpha[/tex] = 1 - 0.95
α = 0.05
[tex]\frac{\alpha}{2}=[/tex] 0.025
Then, t-score is
[tex]t_{11,0.025}[/tex] = 2.201
The interval will be
[tex]\overline{x}[/tex] ± [tex]t.\frac{s}{\sqrt{n} }[/tex]
2.08 ± [tex]2.201\frac{0.1564}{\sqrt{12} }[/tex]
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
Which of the following may have an outcome that is not a polynomial ? A. The addition of two polynomials B. The multiplication of two polynomials C. The subtraction of two polynomials D. The division of two polynomials
Answer:
Step-by-step explanation:
B
Find the quotient of: (-20xyz) (5zy)
Answer:
the answer would be -4x
Step-by-step explanation:
dividing (-20xyz) by (5zy) = 3
a veriable is definded as
Answer:
Its Basically A Type of pattern In an Equation that you solve.
for example, X=Y. It's Configured as a pattern.
Step-by-step explanation:
Answer:
A variable is a unknown number or a unknown value.
Commonly used variables are x and y.
Have a nice day!
Hope this helps!
241÷9 cevabı nedir ????
Answer:
26.7777778 or 26.78 rounded
Step-by-step explanation:
What is the constant in the following equation? 12 = 3k
Answer:
k = 4
Step-by-step explanation:
[tex]12=3k\\\frac{12}{3}=\frac{3k}{3} \\4=k[/tex]
Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?
What happens to the distance between each billiard ball during this rigid
transformation?
The question is incomplete. Here is the complete question.
To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?
A. The distance remains constant throughout the transformation.
B. The distance decreases at the start and increases after all motion stops.
C. The distance stays the same at the start but decreasesexactly when motion ends.
D. The distance increases at the start and then decreases as the rack gets further from the player.
Answer: A. The distance remains constant throughout the transformation.
Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:
1) relative distance between them stays the same and
2) relative position of the points stays the same
There are four types of rigid motions: translation, rotation, reflexion and glide reflection.
Translation: every point or object is moved by the same amount and in the same direction;
Rotation: the object rotates by the same amount around a fixed point;
Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;
Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.
In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.
Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.
x³-5x²+2x-10 devided by x²+2
Answer:
x-5
Step-by-step explanation:
What is the recursive formula for this sequence?
Answer:
B. a=10
an=an-1-4
this is the answer
HELP ME PLEASE I NEED TO KNOW HOW TO SEE WHICH GRAPH HAS A GREATER B VALUE!!! Can someone also please explain how I can tell which ones has a greater b value
Answer:
hi
Step-by-step explanation:
a has the greater value
Answer:
They have the same B value, B value is the Y-intercept, where the graph starts, both B-values are equal to 1. I'm pretty sure that's correct
How to write and graph at least 10 on a number line as a inequality
Answer:
x≥10
draw a number line, plot 10, put a dot on top of 10 and draw an arrow from the dot all the way to right
Step-by-step explanation:
I need this please help me
Answer:
y=4/5(x)+10
Step-by-step explanation:
the slope of the line is 4/5 and the y intercept is 10
using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation
What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
28
30
45
37
help helpppp
Cherry Avenue Park is in the shape of a rectangle. What is the area, in square
miles, of Cherry Avenue Park?
Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them
Step-by-step explanation:
Write the statement as a rate. Lilly records 65 movies onto 5 DVDs. Choose the correct answer below. 65 movies О А. 1 DVD 5 movies о В. 5 DVDs 65 DVDs OC 5 movies 65 DVDs OD 1 movie
In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
Answer:
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Step-by-step explanation:
Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
To find - Which statement about the angles of ΔOPQ must be true?
Proof -
As given,
In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.
Now,
We know that , In Scalene triangle -
All sides are different.
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Smallest angle: ∠P
Opposite shortest side.
Middle angle: ∠O
Opposite middle side.
Largest angle: ∠Q
Opposite longest side.
Therefore:
m∠P<m∠O<m∠Q
Less than symbol goes from smallest to largest
Here's a better Explanation!!!!!!
If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails?
Answer:
So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places
Step-by-step explanation:
hope this helps :)
Find the perimeter of a square with sides that measure (2/3)g centimeters.
Answer:
Perimeter of a SQUARE
4 x s
4 x 2.3 = 9.2 cm
Hence the perimeter of the square is 9.2cm
Which system of equations could be used to find the number of tickets sold before the tournament, x, and the number of tickets sold at the door, y? Remember, 743 tickets were sold, and 75 more tickets were purchased before the tournament than at the door.
Select the correct system based on the scenario.
y = x + 75
y = 75x + 743
y = x + 75
y = x + 743
x + y = 743
x – y = 75
x + y = 743
y – x = 75
Which system of equations could be used to find the number of tickets sold before the tournament, x, and the number of tickets sold at the door, y? Remember, 743 tickets were sold, and 75 more tickets were purchased before the tournament than at the door.
Select the correct system based on the scenario.
y = x + 75
y = 75x + 743
y = x + 75
y = x + 743
x + y = 743
x – y = 75
x + y = 743
y – x = 75
Answer:
C. x + y = 743
x – y = 75
Step-by-step explanation:
Got it right.
Answer:
C. x + y = 743
x – y = 75
Step-by-step explanation:
I did the test so trust me :)
Determine whether the given statement is true or false. 1 14 E {12, 14, 16, 18}
A camera has a listed price of $627.95 before tax. If the sales tax rate is 6.5%, find the total cost of the camera with sales tax included
Round your answer to the nearest cent, as necessary.
Pls hurry I’m in a math test
$627.95 × 6.5%
=$40.81675
then:
627.95 + 40.81675
=668.76675
=$668.77
a box contains 24 balls , some of which are red, some of which are green , and the rest are blue . the probabilities of drawing a red ball and a green ball at random from the box are 1\3 and 1\6 respectively . find the number of blue balls in the bag.
Step-by-step explanation:
I think it's 15 but I'm not sure
is 5.97 repeating (5.97777) irrational?
Answer:
Rational
hope this helps
have a good day :)
Step-by-step explanation:
PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.
Answer:
30.7
Step-by-step explanation:
Answer:
30.8 unitsStep-by-step explanation:
Definition of tangent
tan = opposite / adjacentApply to the given triangle and solve for MN
MN/PN = tan ∠PMN / 10 = tan (72 deg)MN = 10 (3.077)MN = 30.8 (rounded)In a group of 38 pupils, 13 play the flute only.
7 play the piano only.
5 play neither instrument.
How many pupils play both instruments?
What is 9 5/6 minus 2 7/8 equal?
Answer:
[tex]\frac{167}{24}or[/tex] [tex]6\frac{23}{24}[/tex]
Step-by-step explanation:
[tex]9\frac{5}{6} -2\frac{7}{8} =[/tex]
Convert to an improper fraction.
[tex]\frac{59}{6}-\frac{23}{8}[/tex]
Find a common denominator.
[tex]\frac{236-69}{24}[/tex]
Simplify
[tex]\frac{167}{24}=6\frac{23}{24}[/tex]
good luck, hope this helps :)
Common factors for 18 and 54 and 29 and 39 with a GCF for each pair I'll give brainlest
Answer:
1
Step-by-step explanation:
Common factors of:
18: 1,2,3,6,9,18
54: 1,2,3,6,9,18,27,54
29: 1,29
39: 1,3,13,39
GCF is 1
Answer: See explanation
Step-by-step explanation:
A factor is one of two or more numbers that divides a given number without a remainder.
18: 1, 2, 3, 6, 9, 18
54: 1, 2, 3, 6, 9, 18, 27, 54
GCF of 18 & 54: 18
29: 1
39: 1, 3, 13, 39
GCF of 29 & 39: 1
If you're asking for the GCF of all these numbers, its 1
ILL GIVE BRAINLEST
The difference between 3 times a number x and 2 is 19. What is the value of x?
A. 7
B. 6
C. 5
D. 1
Answer:
A. 7
good luck, i hope this helps :)
What is the value of (-5)4?
Answer:
(-5)4=
-5+4=-1
take care of yourself
have a nice day
the sum of two numbers is 51 and the difference is 13. what are the numbers
Answer:
Step-by-step explanation:
19 and 32
Answer:
the two numbers are 19 and 32
Step-by-step explanation:
let's call the numbers x and y.
write out the equations
x + y = 51
x - y = 13
simplify the second equation
x = 13 + y
substitute into the first equation and simplify
(13 + y) + y = 51
13 + 2y = 51
2y = 51 - 13
2y = 38
y = 19
substitute y for 19 in the second equation
x = 13 + y
x = 13 + 19
x = 32
