Answer:
D. Confidence interval decreases.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
When sample size increases:
The standard deviation of the sample mean is:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.
This means that the correct answer is given by option D.
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.
170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806
1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures
2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.
Answer:
1.d. None of these measures (do not exist interpreted as all of these exist)
2.The mean is increased from 346.8 to 361.32
Step-by-step explanation:
After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .
The mean is 346.8
The mode is 281
The median is 316
Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. The mean would be affected by the change.
The mean is 361.32
The mode is 281
The median is 316
The mean is increased from 346.8 to 361.32
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
orange.
By what percentage is the grapefruit heavier than the apple?
pls answer
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
The grapefruit is 20% heavier than the orange:)
Step-by-step explanation:
Let the weight of orange be x.
This means that the weight of grapefruit is:
1.08x
( Since grapefruit is: 8% heavier than orange )
Also, the weight of apple is 10% lighter than apple.
This means that the weight of apple is: 0.90 x
Given m||n, find the value of x.
Due to the heavy rains, all pallets of blocks have become wet and the weight of each block has altered. It is desired to estimate the average weight of the blocks thus wet. For this, a sample of 15 blocks is selected and the following weights are recorded in kilograms: 45.8, 43.9, 46.2, 48.5, 47.2, 45.8, 49.1, 43.9, 47.6, 42.8, 46.5, 44.9, 46.8, 45.8 and 44.6; Estimate µ, the average weight of all pallets of blocks, and determine a bound for the estimation error.
Answer:
To find the estimated value we add all of them together then divide it by the amount of them
45.8+43.9+46.2+48.5+47.2+45.8+49.1+43.9+47.6+42.8+46.5+44.9+46.8+45.8 +44.6=689.4
now we divide it by 15 since there is 15 blocks so
689.4 divided by 15=45.96
so the average weight is 45.96
a) The hypotenuse of a right angled triangle is 15 cm. Taking the
perpendicular sides as x , y write the relation connecting the sides ?
b) If the area is 30 cm² find the length of its perpendicular sides ?
a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.
=) 15^2 = x^2 + y^2
That is the relation
b) area of triangle = 1/2 x height x base
=) 1/2 * x * y = 30
=) xy = 15cm
What is the value of log Subscript 5 Baseline 125?
Answer:
[tex]log_5 \ 125 = 3[/tex]
Step-by-step explanation:
[tex]log_5 \ 125 = log_2 \ 5^3 = 3 \times log_5 \ 5 = 3 \times 1 = 3[/tex]
The value of [tex]$\log _{5} 125$[/tex] can be estimated utilizing the logarithm rule. The value of [tex]$\log _{5} 125$[/tex] exists 3.
What is a logarithm?The logarithm stands for the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.
Given:
[tex]$\log _{5} 125$[/tex]
Estimate the value of the given logarithm, we get
[tex]$\log _{5} 125=\log _{5}(5)^{3}$[/tex]
[tex]$\log _{5} 125=3 \log _{5} 5$[/tex]
From logarithm rule [tex]$\log m^{n}=n \log m$[/tex], we get
[tex]$\log _{5} 125=3 \times 1$[/tex]
[tex]$\log _{5} 125=3$[/tex]
Therefore, the value of [tex]$\log _{5} 125$[/tex] is 3.
To learn more about logarithm
https://brainly.com/question/26240264
#SPJ2
Consider the following graph:
What is the limit as it is approaching -1 from the right, what is the limit?
Answer:
The limit is 0, and the answer is given by option E.
Step-by-step explanation:
Limit to the right:
The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.
In this question:
Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.
Y=x^2-x what's the domaine and range
Answer:
y = 0 domain is all real numbers and range is 1 i believe
Step-by-step explanation:
hope this helps
Which of the folloing pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7
Answer:
18/48 and 15/40
Step-by-step explanation:
18/48 = 3/8
15/40 = 3/8
•°• 18/48 is equivalent to 15/40
The volume of a cube is 448cm3.
Work out the length of its side rounded to 1 DP. Please hellp
Answer:
7.65 or 7.7 rounded to 1 DP
Step-by-step explanation:
To find the length of the side of a cube we do the inverse of finding the volume.
one side= x
If x³ = volume, therefore ∛448 is how to find the length of one side.
∛448= 7.65
I hope this helps you.
please help me please
Answer:
30,000
Step-by-step explanation:
Consider the given statements below.
• A central angle in a circle measures 70°.
An inscribed angle in the same circle also measures 70°.
Which statement best describes the relationship between the arcs
intersected by these angles?
.
1 of 4 QUESTIONS
The inscribed angle intersects an arc that is twice the measure of the arc
intersected by the central angle. The inscribed angle's arc measures 70°,
and the central angle's arc measures 35º.
The inscribed angle intersects an arc that is half the measure of the arc
intersected by the central angle. The inscribed angle's arc measures 35º,
and the central angle's arc measures 70°.
The inscribed angle intersects an arc that is half the measure of the arc
O intersected by the central angle. The inscribed angle's arc measures 70°
and the central angle's arc measures 140°.
The inscribed angle intersects an arc that is twice the measure of the arc
O intersected by the central angle. The inscribed angle's arc measures 140°,
and the central angle's arc measures 70°.
Answer:
1-90
2-80
3-033
Step-by-step explanation:
Q3a) How many lengths of string, each 53 cm
long can be cut from a ball containing 25
meters? (2 mks)
b) What length of string, in millimeters
remains? (2 mks)
Part (a)
1 meter = 100 cm
25 meters = 2500 cm .... multiply both sides by 25
Divide the 2500 cm over the 53 cm to get 2500/53 = 47.1698
Ignore the stuff after the decimal point. This means we can cut exactly 47 smaller bits of string, each 53 cm long
Answer: 47====================================================
Part (b)
We found that we can cut exactly 47 smaller bits of string, each 53 cm long. That takes up 47*53 = 2491 cm overall
The leftovers would be 2500 - 2491 = 9 cm which isn't longer than 53 cm
Convert 9 cm to mm by multiplying by 10 (because 1 cm = 10 mm).
9 cm = 90 mm
Answer: 90 mm(8+2)-5=???????????????????
I need help I’ll mark u as brainlest
Answer:
V = 64 in^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 4^3
V = 64 in^3
Answer:
64
Step-by-step explanation:
volume of a cube formula: V = a^3
a is just one of the edges
[tex]4^{3}[/tex] = 64 = V
:)
Find the volume. Help please it’s due tomorrow
Answer:
2cm
Step-by-step explanation:
vbjufdxcvhjjkknvxzdhjkbcxdf
Which graph shows a dilation
Answer:
show the graphs?
Step-by-step explanation:
Write each rate as a fraction in lowest terms
15 feet in 20 seconds
feet/sec
Answer:
3/4 ft / second
Step-by-step explanation:
15 ft / 20 seconds
Divide the top and bottom by 5
3/4 ft / second
Answer:
[tex] \frac{3}{4} [/tex]ft/sec
Step-by-step explanation:
[tex] \frac{feet}{sec} = \frac{15}{20} [/tex]
[tex] \frac{15}{20} \frac{ \div 5}{ \div 5} = \frac{3}{4} [/tex]
PLEASE HELP I WILL GIVE BRAINLIEST AND 25 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:
f(x) = 29,000(0.88)x
What does 0.88 represent?
The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%
9514 1404 393
Answer:
(a) The decrease in the value of the truck, which is 12%
Step-by-step explanation:
The only reasonable choice among the offered answers is the one shown above.
__
We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.
Which of the quadratic functions has the narrowest graph?
y = 2x^2
y = –x^2
y = 1/8x^2
y = 1/6x^2
A quadratic function's graph being wide or narrow is determined or depended on a-term:
[tex] \large{y = a {x}^{2} + bx + c}[/tex]
If |a| has a lot of value, for example a = 2 or a = 100. The graph will get narrower if increasing the value of |a|. On the other hand, If |a| has small value, for example a = 1/2 or a = 1/10000. The graph would be wide.
Also it does not matter if a-term is negative or not since a-term being positive or negative determines if a parabola is upward or downward. Only |a| determines how narrow/wide the graph is.
From the question, it is clear that the parabola y = 2x^2 is the narrowest graph since it has the highest |a| value out of all choices.
Answer
y = 2x^2Karen purchased 3 gallons of yellow paint and 4 gallons on blue paint from the hardware store. The total cost was $105. Yellow
paint and blue paint sell for the same price per gallon. Which THREE statements are correct?
Answer:
In order to answer this properly, I would need to see the choices. However, I can tell you that:
-Each gallon of paint cost $15
-Karen spent $45 on yellow paint
-Karen spent $60 on blue paint
Step-by-step explanation:
Karen bought a total of 7 cans of paint, all the same price.
105/7=15.
15*3=45 (yellow paint)
15*3=60 (blue paint)
Hope this helps.
Which statement is true regarding the graphed functions?
Answer:
I am pretty sure that it's the second one
WILL MARL BRAINLIEST IF YOU HELP
Answer:
C.
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
A.
9 + 9 = 18
18 < 22
No triangle
B.
7 + 3 = 10
10 = 10
No triangle
C.
5 + 6 = 11 and 11 > 9 good
5 + 9 = 14 and 14 > 6 good
9 + 6 = 15 and 15 > 5 good
There is a triangle.
Answer: C.
I need help with this problem
Answer:
x = 21, y = 40
Step-by-step explanation:
The angle above (7x - 13) is (2x + 4 ) ← alternate angle
(7x - 13) and (2x + 4) are adjacent angles and sum to 180° , then
7x - 13 + 2x + 4 = 180
9x - 9 = 180 ( add 9 to both sides )
9x = 189 ( divide both sides by 9 )
x = 21
Then
2x + 4 = 2(21) + 4 = 42 + 4 = 46
(2x + 4) and (3y + 14) are adjacent angles and sum to 180° , so
46 + 3y + 14 = 180
60 + 3y = 180 ( subtract 60 from both sides )
3y = 120 ( divide both sides by 3 )
y = 40
Match each expression with the correct description.
MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1)
Answer:
87,010 cents is the SP.
Step-by-step explanation:
MP = $1400
VAT = 13%
Discount = 45%
so,
discount amount = 45% of MP
= 45% of $1400
= 45/100 * $1400
= 9/20 * $1400
= 9* $70
= $630
so,
MP - discount amount
= $1400 - $630
= $770(SP)
so,
VAT amount = 13% of SP
= 13% of $770
= 13/100 * $770
= $100.1
so,
SP + VAT
= $770 + $100.1
= $870.1
so,
$1 = 100 cents
$870.1 = 100*870.1
= 87,010 cents
Find Trig Ratios (with Radicals)
Answer:
the answer is 45 + 5-75 is equals to 30 +5
a)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
cement company earns a profit of ₹ 10 per bag of white cement and a loss of ₹ 5 per
bag of grey cement. The company sells 325 bags of white cement and 500 bags of
grey cement. What is its profit or loss?
Answer:
There was a profit of ₹750.
Step-by-step explanation:
325 bags of white cement
Profit of 10 for each bag of white cement. So
[tex]P = 325*10 = 3250[/tex]
500 bags of grey cement.
Loss of 5 for each bag of grey cement. So
[tex]L = 5*500 = 2500[/tex]
What is its profit or loss?
3250 - 2500 = 750
Positive, so profit. There was a profit of ₹750.
Evaluate the expression for x=1 and y=9
3x+y=
Answer:
12
Step-by-step explanation:
x = 1 and y = 9 so 3x1 + 9 = 12 as 3 x 1 is 3 and adding 9 to it will give 12
Find the GCF of 20 and 95 Using the Euclidean Algorithm. Check your work by using the prime factorization method.
Answer:
5
Step-by-step explanation:
To start, you use the formula a/b=c, in which a is bigger than b. In this case, that's 95/20=c. The greatest common factor is 5.
