Standard Deviation. Find the Standard Deviation of the following set of data. You must fill out the table and show the ending calculations in order to get full credit here.
7.2, 8.9, 2.7, 11.6, 5.8, 10.2
show all steps
Answers
Answer:
Step-by-step explanation:
Related Questions
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
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The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
Answers
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}
Answers
Answer:
x< -12
Step-by-step explanation:
-1/2x>6
x-2. x-2
x>-12
Since we multiply by we negative we flip the sign
x< -12
Hopes this helps
A=63°
C = 7.75 inch
B = 47°
Oblique Triangle
13. Refer to the oblique triangle shown. What's the length of side a? Round to the nearest hundredth of an inch.
O A. 7.75 inches
O B. 7.35 inches
O C.4.72 inches
O D. 6.03 inches
Answers
Answer:
B. 7.35 inches
Step-by-step explanation:
In the triangle:
A=63° c = 7.75 inch B = 47°Now we know that:
\(\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ\)
Using the Law of Sines
\(\dfrac{a}{\sin A} =\dfrac{c}{\sin C}\\\\\dfrac{a}{\sin 63^\circ} =\dfrac{7.75}{\sin 70^\circ} \\\\a=\dfrac{7.75}{\sin 70^\circ} \times \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)\)
Answer:
B. 7.35 inches
Step-by-step explanation:
just use the law of sines
Pls help will mark brain list
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Answer: B
Step-by-step explanation:
I did this before and got a 100%.
need help asap please 35 points
Answers
Answer:
34
Step-by-step explanation:
because line BC divides line DA and line AE into parts with the same ratio to each other (since BC is parallel to DE). This means that (42/21)*17 will give us the length of AB, when we do so, we get 34 as the length of AB.
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00degrees°C. Assume 2.52.5% of the thermometers are rejected because they have readings that are too high and another 2.52.5% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
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For this question, we assume that 2.5% of the thermometers are rejected at both sides of the distribution because they have readings that are too low or too high.
Answer:
The "two readings that are cutoff values separating the rejected thermometers from the others" are -1.96 Celsius degrees (below which 2.5% of the readings are too low) and 1.96 Celsius degrees (above which 2.5% of the readings are too high).
Step-by-step explanation:
We can solve this question using the standard normal distribution. This is a normal distribution with mean that equals 0, \( \\ \mu = 0\), and standard deviation that equals 1, \( \\ \sigma = 1\).
And because of using the standard normal distribution, we are going to take into account the following relevant concepts:
Standardized scores or z-scores, which we can consider as the distance from the mean in standard deviations units, and the formula for them is as follows:\( \\ Z = \frac{X - \mu}{\sigma}\) [1]
A positive value indicates that the possible raw value X is above \( \\ \mu\), and a negative that the possible raw value X is below the mean.
The [cumulative] standard normal table: there exists a table where all these values correspond to a probability, and we can apply it for every possible normally distributed data as well as we first standardize the possible raw values for X using [1]. This table is called the standard normal table, and it is available in all Statistics books or on the Internet.From the question, we have the following information about the readings on the thermometers, which is a normally distributed random variable:
Its mean, \( \\ \mu = 0\) Celsius degrees.Its standard deviation, \( \\ \sigma = 1.00\) Celsius degrees.It coincides with the parameters of the standard normal distribution, and we can find probabilities accordingly.
It is important to mention that the readings that are too low or too high in the normal distribution are at both extremes of it, one of them with values below the mean, \( \\ \mu\), and the other with values above it.
In this case, we need to find:
First, the value below which is 2.5% of the lowest values of the distribution, and Second, the value above which is 2.5% of the highest values of the distribution.Here, we can take advantage of the symmetry of the normal or Gaussian distributions. In this case, the value for the 2.5% of the lowest and highest values is the same in absolute value, but one is negative (that one below the mean, \( \\ \mu\)) and the other is positive (that above the mean).
Solving the Question
The value below (and above) which are the 2.5% of the lowest (the highest) values of the distribution
Because \( \\ \mu = 0\) and \( \\ \sigma = 1\) (and the reasons above explained), we need to find a z-score with a corresponding probability of 2.5% or 0.025.
As we know that this value is below \( \\ \mu\), it is negative (the z-score is negative). Then, we can consult the standard normal table and find the probability 0.025 that corresponds to this specific z-score.
For this, we first find the probability of 0.025 and then look at the first row and the first column of the table, and these values are (-0.06, -1.9), respectively. Therefore, the value for the z-score = -1.96, \( \\ z = -1.96\).
As we said before, the distribution in the question has \( \\ \mu = 0\) and \( \\ \sigma = 1\), the same than the standard normal distribution (of course the units are in Celsius degrees in our case).
Thus, one of the cutoff value that separates the rejected thermometers is -1.96 Celsius degrees for that 2.5% of the thermometers rejected because they have readings that are too low.
And because of the symmetry of the normal distribution, z = 1.96 is the other cutoff value, that is, the other lecture is 1.96 Celsius degrees, but in this case for that 2.5% of the thermometers rejected because they have readings that are too high. That is, in the standard normal distribution, above z = 1.96, the probability is 0.025 or \( \\ P(z>1.96) = 0.025\) because \( \\ P(z<1.96) = 0.975\).
Remember that
\( \\ P(z>1.96) + P(z<1.96) = 1\)
\( \\ P(z>1.96) = 1 - P(z<1.96)\)
\( \\ P(z>1.96) = 1 - 0.975\)
\( \\ P(z>1.96) = 0.025\)
Therefore, the "two readings that are cutoff values separating the rejected thermometers from the others" are -1.96 Celsius degrees and 1.96 Celsius degrees.
The below graph shows the areas that correspond to the values below -1.96 Celsius degrees (red) (2.5% or 0.025) and the values above 1.96 Celsius degrees (blue) (2.5% or 0.025).
if y varies inversely as x and y = 4 when x = 9 find y when x = 2
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The value of y when x = 2 is 18
How to determine the value of y when x = 2Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a proportional decrease in the other variable, and vice versa.
Specifically, if two variables x and y are inversely proportional, then their product is constant, or in other words, x × y = k, where k is a constant.
If y varies inversely as x, this means that y is inversely proportional to x.
This can be written as:
y = k/x
where k is the constant of proportionality.
To find the value of k, we can use the information that y = 4 when x = 9:
4 = k/9
We have
k = 36
Now we can use the value of k to find y when x = 2:
y = k/x
y = 36/2
y = 18
Hence, when x = 2, y is equal to 18.
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Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
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The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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Write 0.000000624 in scientific notation
Answers
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
What is the domain of the function y=x-1
Answers
Answer:
All rational numbers or all numbers
Step-by-step explanation:
The function is a linear positive slope equation, which looks like the screenie below. Lines always travel forever, and since it is a linear line with a slope, it will be forever going in both directions.
Domain is the x-values that a function has, while range is the y-values.
Since the domain and range are infinite, it is all real numbers.
Hope this helps!
Edit: forgot the image
I zoomed out 2 million units out so you get what im saying kinda
On a number line, 7.05 would be located Choose all answers that make a true statement.
7.05
A. between 8 and 9
B. to the right of 7.02
C. to the left of 7.08
D. between 8.0 and 8.1
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On a number line, 7.05 would be located
B. to the right of 7.02C. to the left of 7.08How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Number = 7.05
The analysis of its position s as follows:
A. between 8 and 9: False. 7.05 is to the left of 8 and is not between 8 and 9.B. to the right of 7.02: True. 7.05 is greater than 7.02, so it is to the right of 7.02 on the number line.C. to the left of 7.08: True. 7.05 is less than 7.08, so it is to the left of 7.08 on the number line.D. between 8.0 and 8.1: False. 7.05 is not between 8.0 and 8.1.So, the true statements are B and C.
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The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
Gina has 32 items to ship and 11 shipping boxes. The large shipping boxes can hold 4 items each. The small shipping boxes can hold 2 items each. Gina has exactly enough boxes for her items. How many of each type of box does she have?
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Answer:
Gina has 5 large shipping boxes and 6 small shipping boxes.
Step-by-step explanation:
32 items to ship and 11 shipping boxes.
Large=4 items
4 X 5 = 20
Small=2 items
2 X 6 = 12
20 + 12 = 32
Find the sum of the first 36 terms of the following series, to the nearest integer. 9, 12,15,...
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Answer:
2100
Step-by-step explanation:
9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63+66+69+72+75+78+81+84+87+90+93+96+99+102+105+108+111=2100
At a supermarket, there are 118 customers. If 45 have purchased shirts, 59 have
purchased pants, and 40 have purchased neither, how many purchased both shirts and
pants?
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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.
What is a Venn Diagram?A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.
In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.
The total number of customers at a supermarket = 118
The number of customers who purchased shirts, n(A) = 45
The number of customers who purchased pants, n(B) = 59
The number of customers who purchased neither shirts nor pants = 40
Let the number of customers who purchased both shirts and pants = n(A ∩ B)
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78
Substituting values:
78 = 45 + 59 - n(A ∩ B)
Solving for n(A ∩ B), we get:
n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26
Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.
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The total amount of money that he had deposited into his account at the end of March is .
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Please help! Solve for X
A. 3
B. 5
C. 8
D. 9
No links or I’ll report you
Answers
Answer:
Step-by-step explanation:
Since they are similar they have the same angles and their sides are proportional to each other. You can solve it by using ratio. we are given the side length of line PQ and KJ we can find the ratio which is 1:8. If we apply this ratio to the line PR and LJ we can find the x value: 1:9 = 3+x:54.
Therefore the x value is 3.
What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1
Answers
Answer:
The answer is -0.828
Step-by-step explanation:
I took the quiz and i gt this question correct, hope it helps!
The r-value of the given data is 0.374.
What is a correlation coefficient?The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.
It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.
We have,
First, we need to find the correlation coefficient (r) of the given data.
We can use the following formula to do this:
r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]
where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.
Using the given data, we can calculate the values as follows:
n = 5
∑x = 39
∑y = 53
∑(xy) = 442
∑x^2 = 483
∑y^2 = 1249
Substituting these values into the formula, we get:
r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]
r = [2210 - 2067] / [√(2415) √(5660)]
r = 143 / (61.898 75.245)
r = 0.374 (rounded to three decimal places)
Therefore,
The r-value of the given data is 0.374.
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Find the length of the third side. If necessary, round to the nearest tenth. 8 12
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The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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plz HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
36 ÷ a
55 - b
18 + c
49 x d
e ÷ 62
Step-by-step explanation:
Prove that two triangles on the same base and between the same parallels are equal
in area.
Answers
follow me please .........
Answer:
............................
Step-by-step explanation:
.,.,.,.,.,.,.,.,.,,,,,.,.,.،.،.،.،.،.
The sun of three consecutive even integers is 46 more than twice the smallest of the three integers. Find the integers
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If "x" is the first even integer, then the second and third are:
\(\begin{gathered} y=x+2 \\ z=x+4 \end{gathered}\)Because we need only even integers, so they are separated by 2 units. If their sum is 46 more than twice the smallest one, we can write:
\(x+y+z=46+2\cdot x\)Using the two expressions above, we can solve for x.
\(\begin{gathered} x+(x+2)+(x+4)=46+2x \\ x+x+2+x+4=46+2x \\ 3x+6=46+2x \\ 3x-2x=46-6 \\ x=40 \end{gathered}\)Therefore the integers are 40, 42 and 44.
The weather table predicts the chance of rain for 5 days.
Days of week. Chance of rain.
Monday. 70%
Tuesday. 10%
Wednesday. 40%
Thursday. 50%
Friday. 60%
Compare the probability of rain between any 2 days
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Answer:
Step-by-step explanation:
1
Someone please hurry and help with the two I got wrong !!!!!!!
Answers
Answer:
-2
35
Step-by-step explanation:
yeah-ya.........
right?
please help can yall solve this
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87 less than four times a number is equal to the number. What is the number?
Answers
Answer:
29
Step-by-step explanation:
Let n represent the number
n = 4n - 87
Subtract 4n from both sides
-3n = -87
Divide by -3 on both sides
n = 29
hope this helped:))
Solve and graph 8(p+3)>2(4p-1)
Answers
Janet had $105.87 in her savings account. She withdrew $77.35 for a
get-together. What is the new balance in her account?
$28.51
$28.52
$28.53
$28.00
Answers
Answer:
28.52
Step-by-step explanation:
105.87 - 77.35 = 28.52
Can anyone help, I got really confused doing this problem, and I can’t find the answer for it.
Answers
Answer: The area is 45 square feet
Step-by-step explanation: Use the formula (base*height)/2. Base in this case is 15, while height is 6. (15*6)/(2) It should equal 45 square feet.
Answer:
45^ft
Step-by-step explanation:
1/2 B ×H
1/2(6)×15=45^ft