Answer:
(6243.99, 11014.53) ; 2385.27 ; (7998.17, 9260.34) ;
Step-by-step explanation:
Given the data:
6416; 1550; 2110; 9351; 21830; 4299; 5945; 5722; 2827; 2046; 5481; 5202; 5855; 2749; 10011; 6356; 27000; 9415; 7683; 3202; 17502; 9200; 7380; 18315; 6557; 13714; 17767; 7491; 2769; 2861; 1264; 7284; 28165; 5081; 11624
Using calculator :
Sample mean, m= 8629.25714
Sample standard deviation, s = 6943.92362
1.) T test distribution ;
Sample size, n = 35
Confidence interval (C. I) : m ± Zcritical * s/sqrt(n)
n = sample size = 35
Tn-1,0.025 = t34, 0.025 = 2.0322
C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(35))
C.I = 8629.25714 ± 2385.2689
Lower bound = 8629.25714 - 2385.2689 = 6243.98824
Upper bound = 8629.25714 + 2385.2689 = 11014.52604
(6243.99, 11014.53)
Error bound :
E = t34, 0.025 * (s/sqrt(n))
E = 2.0322 * 6943.92362 / sqrt(35)
E = 2.0322 * 1173.7373
E = 2385.27
C.)
If n = 500
C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(500))
C.I = 8629.25714 ± 631.08285
Lower bound = 8629.25714 - 631.08285 = 7998.17429
Upper bound = 8629.25714 + 631.08285 = 9260.33999
(7998.17, 9260.34)
Error bound :
E = t34, 0.025 * (s/sqrt(n))
E = 2.0322 * 6943.92362 / sqrt(500)
E = 2.0322 * 310.54170
E = 631.08
Both the error margin and the confidence interval reduces due to large sample size.
In a survey of the most popular type of coffee sold by a cafe, latte recived 42% of the votes expresso recived 3/25 of the votes and ice belended recived 0.46 of the votes. Order the types of coffee from the most popular to the least popular.
which value is the best estimate for x?
A=24.4
B=27.0
C=63.0
D=65.6
What breaks 40 into 5 equal pieces?
a) 1/2
b) 2/10
c) 2%
d)20%
Answer:
20
Step-by-step explanation:
20 percent of 40 is 5
so 20 is d answer
A fitness machine weigh 16.8 kg. How many grams does the fitness machine weigh?
Answer:
16800
Step-by-step explanation:
since the equaltiuon is 16.8*1000
1 kg = 1000 grams.
16.8 kg x 1000 = 16,800 grams
A medical supplier sells gauze in large and small rectangular sheets. A large sheet has a length of 9 inches and an area of 45 square inches. A small sheet has a length of 4 inches and a width of 3 inches. Are the sheets similar?
Answer:
Step-by-step explanation:
Large sheet:
Length = 9 inches
Width of large sheet = area ÷ length = 5 inches
ratio of length to width = 9:5
Small sheet:
Length = 4 inches
Width = 3 inches
ratio of length to width = 4:3
9:5 ≠ 4:3
The sheets are not similar
The large sheet and small sheet are not similar because they have different dimensions.
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that large sheet has a length of 9 inches and an area of 45 square inches whereas the small sheet has length of 4 inches and a width of 3 inches.
Let's find out the area of small sheet which will be :
A = L × B
A = 4 × 3
A = 12 inches²
Whereas , in case of large sheet the area is 45 inches². So , the area of both sheets are not similar.
Let's check if dimensions are same.
Width of large sheet will be :
A = L × B
45 = 9 × B
or
B = 5 inches
So , dimensions are also not equal.
Therefore , the large sheet and small sheet are not similar because they have different dimensions.
Learn more about area of rectangle here :
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An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
A. There is no correlation between number of inhabitants and amount of trash produced.
B. There is a correlation between number of inhabitants and amount of trash produced. However, there is no causation. This is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants.
C. There is a correlation between number of inhabitants and amount of trash produced. There may or may not be causation. Further studies would have to be done to determine this.
Answer:
C.
Step-by-step explanation:
There's no problem for now but it still needs to be monitored in case something might happen.
21+15a distributive property equavilent expression
25% of 200. Find the percentage of the number
Answer:
50
Step-by-step explanation:
0.25 * 200 = 50
25% of 200 is 50
Answer:
50
Step-by-step explanation:
25% of 100 is 25 so add another 100 so u have to add 25
Jordan gave her basil plant 86 milliliters of water yesterday. How many liters of liquid did she give her plants
Answer: 0.086
Explanation: There are 1,000 milliliter in a liter. Since 86 is below 1,000, your answer won’t be in front of the decimal. For example, if you had 3,000 milliliters, your answer would be 3.0 liters.
A nutritionist would like to estimate the number of times adults exercise each week. To collect information, the nutritionist emails the members of the local fitness center. Which of the following describes the bias that may arise from the results?
A- This is a convenience sample and likely overestimates the frequency of exercise.
B- This is a convenience and likely underestimated the frequency of exercise.
C- This is a voluntary response sample and likely overestimates the frequency of exercise.
D- This is a voluntary response sample and likely underestimates the frequency of exercise.
Answer:
This is a voluntary response sample and likely overestimates the frequency of exercise.
Step-by-step explanation:
I just took the unit test review. The people taking the survey took it voluntarily and it overestimates exercise because it was offered to gym members.
The statement describes the bias that may arise from the results is "This is a voluntary response sample and likely overestimates the frequency of exercise".
Given that,
A nutritionist would like to estimate the number of times adults exercise each week.
To collect information, the nutritionist emails the members of the local fitness center.
We have to determine,
Which of the following describes the bias that may arise from the results?
According to the question,
A nutritionist would like to estimate the number of times adults exercise each week.
To collect information, the nutritionist emails the members of the local fitness center.
The people taking the survey took it voluntarily and it overestimates exercise because it was offered to gym members.
Hence, This is a voluntary response sample and likely overestimates the frequency of exercise.
To know more about Reasoning click the link given below.
https://brainly.com/question/24572391
Nick works forty hours per week, thirty-five of those hours are paid at the basic rate of
pay (£10 per hour) and the remaining five hours are paid as over-time (£15 per hour).
What is the ratio of basic pay to over-time pay?
Answer:
1:1.5
Step-by-step explanation:
if 10:15 when we divide both sides by 10 w get 1:1.5
Awnser All 4 boxes pls
-_- 1x2 3x4 2 3d 34rs 4543 3456
In the box, type the number that correctly completes the sentence.
A book cost $8.98. Kaitlyn needs $
to buy three books.
add fractions 17/3+5/2=
Answer:
answer is below
Step-by-step explanation:
49/6 or 8 1/6
The ratio of the measures of the sides of a triangle is 2:8:9. If the perimeter of the triangleis 76 inches, find the length of each side. for geometry
Answer:
The lenghts of the sides are: 8 inches, 32 inches, 36 inches.
Step-by-step explanation:
Perimeter of a triangle:
The perimeter of a triangle is given by the sum of it's sides dimensions.
The ratio of the measures of the sides of a triangle is 2:8:9.
This means that their measures are:
The first measure is x
The second measure is of: [tex]\frac{8x}{2} = 4x[/tex]
The third measure is of [tex]\frac{9x}{2}[/tex]
So the perimeter will be of:
[tex]x + 4x + \frac{9x}{2} = 76[/tex]
[tex]5x + \frac{9x}{2} = 76[/tex]
[tex]\frac{10x}{2} + \frac{9x}{2} = 76[/tex]
[tex]\frac{19x}{2} = 76[/tex]
[tex]19x = 76*2[/tex]
Simplifying by 19
[tex]x = 4*2 = 8[/tex].
So, dimensions of:
[tex]8, 4*8 = 32, \frac{9*8}{2} = 36[/tex]
The lenghts of the sides are: 8 inches, 32 inches, 36 inches.
PLEASE HELP Show your work to find the measure of angle L.
Answer:
if I am guessing this is trigonometry
First is to look at what sides you have in which you have the legs. This means you can use tangent. how ever you need to use arctangent or
tan^-1 to find the angle.
the way you set this up in your calculator is tan^-1(8.4÷15.2). plus be sure it's on Deg not Rad.
This leaves the answer if 28.9°
I hope this helps.
A farming council takes a large random survey of US adults in which they ask how many times they ate a
cruciferous vegetable such as broccoli, cauliflower, or cabbage in the last 7 days.
Let the random variable x be the number of days a randomly selected respondent reported eating one of these
vegetables
The probability distribution of X and several choices of histograms are shown below
Which histogram correctly displays the probability distribution of the random variable X, the number of days a
randomly selected respondent reported eating a cruciferous vegetable?
a
Ob
Oc
histogram C
histogram A
histogram B
Answer:
Histogram A
Step-by-step explanation:
Because I was trying to find the answer but I got it wrong and it told me the answer <3
please help me asap
Answer:
1. X=35 degrees obtuse
2 x=25 degrees right
Step-by-step explanation:
Background info:
The measures of the angels of every triangle is 180 degrees
So x equals 180 minus the other angles combined
1. X=180-(40+105)
X=180-145
X=35 degrees
2.
x=180-(90+65)
x=180-155
x=25 degrees
The cost to produce a batch of granola bars is approximately Normally distributed with a mean of $7.19 and a standard deviation of $0.86. If a random sample of 12 batches of granola bars is selected, what is the probability that the mean cost will be more than $7.00?
0.2220
0.2339
0.7653
0.7780
Answer:
0.7780
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Population:
We have that [tex]\mu = 7.19, \sigma = 0.86[/tex]
Sample of 12:
[tex]n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483[/tex]
What is the probability that the mean cost will be more than $7.00?
This is 1 subtracted by the pvalue of Z when X = 7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{7 - 7.19}{0.2483}[/tex]
[tex]Z = -0.765[/tex]
[tex]Z = -0.765[/tex] has a pvalue of 0.222
1 - 0.222 = 0.778
So the answer is 0.7780
10 ways to divide 96 into equal groups
Answer:
Step-by-step explanation:
48+48=96
32+32+32=96
24+24+24+24=96
12+12+12+12+12+12+12+12=96
6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6=96
I'm not going to write out the rest of the numbers. I'll multiply them.
4 x 24=96 (etc. 4+4+4....)
3 x 32=96 (etc. 3+3+3....)
2 x 48=96 (etc. 2+2+2....)
1 x 96=96 (etc. 1+1+1....)
I hope this is what you meant. If you liked, mark me Brainliest please.
The number 96 is divided into equal groups, then the number of 10 ways is shown below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
48 + 48 = 96
32 + 32 + 32 = 96
24 + 24 + 24 + 24 = 96
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 96
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 96
And the rest are written in the form of multiplication. Then we have
4 x 24 = 96 (etc. 4 + 4 + 4 ....)
3 x 32 = 96 (etc. 3 + 3 + 3 ....)
2 x 48 = 96 (etc. 2 + 2 + 2 ....)
1 x 96 = 96 (etc. 1 + 1 + 1 ....)
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determine whether the following graph represents a function , ILL MARK BRAINLIST
Answer:
this is not a function
Step-by-step explanation:
I need help please.
Answer:
the answer is C. 2
Step-by-step explanation:
0.1÷5%
Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?
solve for x;
2x+3=11?
Answer:
2x+3=11
2x=11-3
x=8/2
x=4........
Answer: [tex]x = 4[/tex]
Step-by-step explanation:
Okay, so we start with our equation.
[tex]2x + 3 = 11[/tex].
Then we need to get x alone. To do that we subtract the 3 on the side with the x.
But what we do to one side, we do to the other. So we subtract 3 from the 11 as well
2x + 3 = 11
-3 -3
2x = 8
Then we divide by 2 on both sides to get X.
[tex]\frac{2x}{2} =\frac{8}{2}[/tex]
[tex]\frac{2x}{2} = x[/tex]
[tex]\frac{8}{2} = 4[/tex]
[tex]x = 4[/tex].
At the football game, 8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game.
How many of the spectators were girls?
Ο Α. 130
Ο Β. 195
C. 624
D. 736
Ε. 1040
Answer:624
Step-by-step explanation:
solve for da x in 2x+3=7 :>
Answer:
x = 2Step-by-step explanation:
Given
2x+3=7Solve for x
2x = 7 - 32x = 4x = 4/2x = 2Answer:
2
Step-by-step explanation:
first answer deleted by moderator... even when it was correct... i did more explaining on that one, but they kindly deleted my answer and didn't even show my full answer after they had deleted it like some other moderators do which i always appreciate.
Drag each tile to the correct box.
From the set {1, 2, 3, 4, 5}, find the lowest value of x that makes each inequality true. Arrange the inequalities in increasing order of the lowest value of x from the set that makes them true.
choices...
5x − 3x > 9
2x − 1 > 0
6x − 14 > 3
x + (x − 1) > 5
Answer: It took me a while but I have the answer! I got them A L L correct! And I also got a 5/0 (100%) on my Edmentum mastery test. Brainliest??????
Step-by-step explanation: (In order!)
2x - 1 > 0
6x - 14 > 3
x + (x - 1) > 5
5x - 3x > 9
Zack and Noah jogged 2/5 of a mile and walked another 1/4 of a mile. How far did they go in all?
A florist has 733 flowers how many full bouquet of 16 flowers can make?
Answer:
45 bouquets
Step-by-step explanation:
733 divided by 16 is 45.8125
Round that and you get 45.
Hope this helps!!!
Answer:
45
Step-by-step explanation:
733/16 = 45.81 = 45 and remainder 13
In this case we must round down since with the 13 flowers in the remainder he cannot make another bouquet.
He can make 45 bouquets.
There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?
Answer:
0.8 liters
Step-by-step explanation:
1l=1000 mlml=1000 ml-200ml=800ml=0.8L
Answer:
shouldn't it be 800 mL
Step-by-step explanation:
cause there are 1000mL in 1 liter