Answer:
[tex]\frac{1}{9}[/tex]
Using exponential maths what is 2x = 1/128
find the perimeter of a circle whose diameter is 12.6 cm please help and show working
Answer:
39.584034 cm
Step-by-step explanation:
Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.
I used 3.14159 as pi.
work:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow:
87 91 86 82 72 91
60 77 80 79 83 96
Required:
a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals).
Answer:
a
[tex]\= x = 82 [/tex]
b
[tex]s = 9.64 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 87 91 86 82 72 91 60 77 80 79 83 96
Generally the point estimate for the mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{87 +91 + 86 + \cdots + 96}{12}[/tex]
=> [tex]\= x = 82 [/tex]
Generally the point estimate for the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{ \sum ( x_i - \= x )^2 }{ n -1 } }[/tex]
=> [tex]s = \sqrt{\frac{ ( 87 - 82 )^2 +( 91 - 82 )^2 + \cdots + ( 96 - 82 )^2 }{ 12 -1 } }[/tex]
=> [tex]s = 9.64 [/tex]
Part(a): The required mean is 82
Part(b): The required standard deviation is 9.639
Mean:
The mean is one of the measures of central tendency.
Part(a):
The formula for finding the mean is,
[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
Now, calculating the mean for the [tex]n=12[/tex] observation
[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]
Part(b):
The formula for the standard deviation is,
[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]
Substituting the given values into the above formula we get,
[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]
Learn more about the topic Mean:
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In order to compare the durability of four different brands of golf balls (ALPHA, BEST, CENTURY, and DIVOT), the National Golf Association randomly selects five balls of each brand and places each ball into a machine that exerts the force produced by a 250-yard drive. The number of simulated drives needed to crack or chip each ball is recorded. The results are given in the following table.
Alpha Best Century Divot
281 270 218 364
220 334 244 302
274 307 225 325
242 290 273 337
251 331 249 355
Provide the EXCEL printout of ONEWAY ANOVA using either DATA ANALYSIS or PTSTAT2 to determine whether the mean number of stimulated drives differs by brand of golf ball.
Use the ANOVA printout to write-up the six step hypothesis testing procedure for determining whether the average number of simulated drives differs by brand of golf ball. What is the p-value for this problem and what does it mean? Assume alpha =.05.
Answer:
As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.
Step-by-step explanation:
Excel output print out
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Alpha 5 1268 253.6 609.3
Best 5 1532 306.4 740.3
Century 5 1209 241.8 469.7
Divot 5 1583 316.6 1235.3
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 20960.4 3 6986.8 9.149217573 0.000925804 3.238871517
Within Groups 12218.4 16 763.65
Total 33178.8 19
The six steps of hypothesis are
1. Null hypothesis: The average number of simulated drives are same by brand of golf ball
Alternative hypothesis: The average number of simulated drives differs by brand of golf ball
2. Significance level: α=0.05
3. Test statistic: F-ratio for one way anova
4. Computations
F=9.149
5. Critical region: F>3.239
6. Conclusion:
As our computed test statistic falls in critical region, so we reject our null hypothesis. Also p-value=0.0009 is less than significance level, so we reject our null hypothesis and conclude that the average number of simulated drives differs by brand of golf ball at 5% significance level.
is 10 15 18 equal to a right triangle
Answer:
no
Step-by-step explanation:
Right triangles follow the Pythagorean theorem:
[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}\\18=\sqrt{10^2+15^2} \\18=\sqrt{325} \\18 != 18.0277\\[/tex]
Because this statement isn't true, the side lengths are not for a right triangle.
José correctly answered 80% of the
questions on a language arts quiz. If he
answered 16 questions correctly, how ma
questions were on the language arts quiz
Answer:
20
Step-by-step explanation:
80% needs 20% more to be 100% so we devide 16 by 4 to get the awnser for 20% witch is 4 so 16+4 is equal to 80% + 20% so 20
Answer:
20
Step-by-step explanation: 16 you need to 2 more question to get 100 so if you use your brain and imagine doing a test and you get an 80 percent and answered 16 correct go back to the test to see what you have
Ok so If and anchor descends -17.5 meters down in the ocean in 5 seconds, how much does it descend in 1 second?
Does anyone know this answer
PLEASE HELP ME What is the amount of rain fall for the 1M 6 months of the year in Kennedale Texas
Arlington Texas Rainfall Amounts
Month
January
February
March
April
May
June
Rainfall Amount
+0.5 inches
-1.26 inches
+0.32 inches
+3.71 inches
- 1.27 inches
-2.40 Inches
A 2 inches
B. -0.4 inches
C 0.8 inches
D. -1.3 inches
Loo
Answer:
.5
Step-by-step explanation:
during a sale, 20 cent bars of soap were sold at the rate of 3 for 50 cents. how much is saved on 9 bars?
Answer:
30 is saved
Step-by-step explanation:
20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30
HELP MEE ;-;
2/3a - 7= 1/3 Round your answer to the nearest tenth.
Answer:
a=11
Step-by-step explanation:
Answer:
a = 11
Step-by-step explanation:
Who likes sushi?!?!?!
Answer:
I do :)
Step-by-step explanation:
Lol I usually get the crunchy roll
Eight individuals are candidates for positions of president, vice president, and treasurer of an organization. How many possibilities of selections exist
Answer:
336
Step-by-step explanation:
It is given that,
Total number of individuals are 8
They are candidates for positions of president, vice president, and treasurer of an organization.
It is a based on permutations. We need to find P(8,3). It can be calculated as follows :
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
So,
[tex]P(8,3)=\dfrac{8!}{(8-3)!}\\\\=\dfrac{8!}{5!}\\\\=\dfrac{8\times 7\times 6\times 5!}{5!}\ [\because n!=n(n-1)!]\\\\=8\times 7\times 6\\\\=336[/tex]
Hence, there are 336 possibilities of selections.
The school band is in charge of a new set of uniforms made with a new logo. A local
business charges $140 to set up the logo with the design and $0.25 in materials per
logo printed. The function C(x) = 140+0.25x / x
represents the average cost per logo if x
uniforms are printed by this business.
a. What is the average cost per uniform to get the logo printed on 25 uniforms?
b. What is the average cost per uniform to get the logo printed on 100 uniforms?
C. How many uniforms should be printed to have an average cost of $1 per logo?
d. What will happen to the price as the number of uniforms printed increases?
Answer:
a. [tex]C(25) = 146.25[/tex]
b. [tex]C(100) = 165[/tex]
c. [tex]x = 187[/tex]
d. Increment in number of uniform causes an increment in price
Step-by-step explanation:
Given
[tex]C(x) = 140 + 0.25x[/tex]
Solving (a)
[tex]x = 25[/tex]
This gives:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]C(25) = 140 + 0.25 * 25[/tex]
[tex]C(25) = 140 + 6.25[/tex]
[tex]C(25) = 146.25[/tex]
Solving (b):
[tex]x = 100[/tex]
This gives:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]C(100) = 140 + 0.25 * 100[/tex]
[tex]C(100) = 140 + 25[/tex]
[tex]C(100) = 165[/tex]
Solving (c):
Average cost = $1 per logo
For x logos,
Average cost = $1 * x
Average cost = $x
So, we have:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]x = 140 + 0.25x[/tex]
Collect Like Terms
[tex]x - 0.25x = 140[/tex]
[tex]0.75x = 140[/tex]
Solve for x
[tex]x = 140/0.75[/tex]
[tex]x = 187[/tex] ---- Approximated
Solving (d): What happens when number uniform increases.
Notice that in (a) & (b).
x increases from 25 to 100
Price also increases from $146.25 to $165.
Hence:
Increment in number of uniform causes an increment in price
Please help me ..................
The answers are shown below:
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.
Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.
a) point E represent √47 ( 6.855)b) point D represent √27 ( 5.19)
c) point A represent √11 ( 3.316)
√13(3.6050 lies between 3 and 4.-√150 (12.247) lies between (-12 and -13)side = √area= √30 = 5.477 inch√90=9.48 ( option b)The incorrect statement is √12 lies between 4 and 5Learn more about square root here:
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Simplify this radical.
Square root 84
Answer: 9.16515139
Answer 2: 2√21
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red
Answer:
He has had a quarter of the red one
Step-by-step explanation:
3/12 is 1/4 when simplified
You come from a large, dysfunctional family. You learn of this year’s upcoming reunion, and dread the very thought of being around those people for any length of time. However, you’ve been intrigued by your introductory statistics course, and decide you will have some fun with the reunion by using it as an opportunity to study your family. As a preliminary project, you want to keep track of how many times each family member verbally assaults another person throughout the first 24 hours.
After 24 hours, you review your notes:
Family Member # Verbal Assaults
Stew (Dad) 5
Marge (Mom) 7
Betsy 18
Fred 11
Gracie 4
Jorge 10
Kim 5
Ferdinand 15
Hal 6
You 19
Find the mean, median, and mode of your distribution:
1. Mean
2. Median
3. Mode
4. Which measure of central tendency do you think is most appropriate for this dataser? Why?
5. What is the range of your dataset? Show how you figured it out.
6. Define, as specifically as necessary, the population in which you are interested for this research. In other words, how do you decide whether a person would be appropriate to include in your study?
7-9. Find the standard deviation for the data in the table on the first page. Showing your work is how you earn points for this part
10. What is the standard deviation of your dataset?
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of times each family member verbally assaults another person throughout the first 24 hours.
Use Minitab to compute the descriptive statistics.
Go to Stat → Basic Statistics → Display Basic Statistics
A dialog box will open.
Select the variable.
Select 'Statistics'.
Another dialog box will open.
Select the statistics required.
Press OK.
Select "Graphs'.
Select Histogram.
Press OK
The output is attached below.
(1)
The mean of the data is, Mean = 10.
(2)
The median of the data is, Median = 8.50.
(3)
The mode of the data is, Mode = 5.
(4)
The inequality statement for the mean, median and mode is:
Mean > Median > Mode
A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the histogram of the distribution.
Also if the Mean > Median > Mode then the distribution is skewed to the right.
For a skewed distribution the best of central tendency is the median.
So, the measure of central tendency that is most appropriate for this dataset is, Median = 8.50.
(5)
The range of the data set is:
Range = Maximum - Minimum
= 19 - 4
= 15
Thus, the range is 15.
(6)
The population of interest is the number of times the family members verbally assaults another person throughout the first 24 hours.
(7)
Consider the Minitab output.
The standard deviation of the data set is, SD = 5.60.
Write the decimal represented by each shaded square.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The decimal would be .70 because there's 70 squares that are shaded.
Simplify. 32v2 the power of 4/ 8v to the power of 6
1/4(-16x+8)? simplify or expand the expression
Answer:
-4x+2
Step-by-step explanation:
Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?
Answer:
55 + 45 = 90
90 divided by 45 = 2
90 divided by 9 = 10
Step-by-step explanation:
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
Find the selling price of each item original plate price of gold fish at $7.65 discount 10%
Answer:
6.88 is what I think you're looking for
Step-by-step explanation:
Which expression is equivalent to |-5| + |3|?
Answer:
5+3 =8
Step-by-step explanation:
absolute value
6 hours and 30 minutes after 11;00 is what time
Answer:
5:30
Step-by-step explanation:
you go ahead and add the 30 minutes so you then have 11:30 plus 6 hours is 5:30 because it only goes to 12:00 and repeats.
The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____
Answer: left, down
Hope this helps.
Help, please I need it. I am horrible at math.
PLEASE HELP WITH THIS WILL GET EXTRA POINTS
Answer:
1.2
2.4
3.6
4.8
5.9
6.4
7.3
8.6
Step-by-step explanation:
Please find the area
Answer:
the answer is 6cm like its really obvious