we say 15 _12 is 9 so 9 x 7 is 15
and the next step is 9 divided by 7
Two students are interested in whether or not there is variation in their test scores for math class. There are 15 total math tests they have taken so far. The first student’s grades have a standard deviation of 38.1. The second student’s grades have a standard deviation of 22.5. The second student thinks his scores are lower.
State the null and alternative hypotheses. (fill in <,≤, >, ≥, =)
a) H0: σ1 _____ σ2
b) Ha: σ1 ______ σ2
c) What is the F-statistic?
d) What is the p-value?
e) At the 5% significance level, do we reject or fail to reject the null hypothesis?
f) There (is or is not) ________enough evidence to say that the variance of the grades for the first student is higher than the variance in the grades for the second student
To compare variance of math test scores between two students, null hypothesis is that variances are equal and alternative hypothesis is that variance of first student's grades is higher.
Calculate F-statistic and p-value to reject or fail to reject null hypothesis at 5% significance level. If null hypothesis is rejected and p-value is less than 0.05, conclude that variance of first student's grades is higher.
a) H0: σ1 = σ2
b) Ha: σ1 > σ2
c) The F-statistic would be calculated by taking the ratio of the variance of the first student's grades (σ1²) to the variance of the second student's grades (σ2²).
d) The p-value is the probability of obtaining a result as extreme as the one observed, given that the null hypothesis is true. To determine the p-value, you would need to perform a statistical test such as an F-test or Levine's test.
e) At the 5% significance level, you would reject the null hypothesis if the p-value is less than 0.05. If the p-value is greater than 0.05, you would fail to reject the null hypothesis.
f) There is enough evidence to say that the variance of the grades for the first student is higher than the variance in the grades for the second student if the p-value is less than 0.05 and the null hypothesis is rejected. If the p-value is greater than 0.05 or the null hypothesis is not rejected, then there is not enough evidence to make this conclusion.
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What is 1 divided by3/4
Answer:
3/4
Step-by-step explanation:
it is 3/4 anything dividing one is itself
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
find the coordinates of the orthocenter with vertices at each set of points on a coordinate plane. (3,1) (10,8) (5,13)
the orthocenter is….
Answer:
I drew the triangle and centered a circle within; as for "a" I got the center of the circle; the center point is 17/8 by 3/2.Then I averaged and got 14/3 by 18/3? 2 answers.
Step-by-step explanation:
Hope this helped! :)
Graph that line with slope -1 passing through the point (-2,4)
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
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Nancy deposited $10,000 into a simple interest account, at an interest rate of 2.2%. She had
10,330 at the end of the time. How long did she have her money invested?
Answer: 1.5 years
This is equivalent to 18 months.
=================================================
Work Shown:
A = P*(1+r*t)
10330 = 10000*(1+0.022*t)
10330/10000 = 1+0.022*t
1.033 = 1+0.022*t
1.033-1 = 0.022*t
0.033 = 0.022*t
0.022*t = 0.033
t = 0.033/0.022
t = 1.5
She invested the money for 1.5 years
1.5 years = 1.5*12 = 18 months
or you could say
18 months = 12 months + 6 months = 1 year + 6 months
jon paid $200 for 8 classes at gold dawn yoga studio. the cost, y, is rorportional to the number of classes purchased, x. graph three points and find the slope
The slope of the given data is 25.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Jon paid $200 for 8 classes at gold dawn yoga studio.
the cost, y, is proportional to the number of classes purchased, x
The slope will be cost of each class
200/8=25
So the equation will be y=25x
25 is the slope.
Hence, the slope of the given data is 25.
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In an in-text citation, direct quotes go in_______.
A. between parenthesis
B. between double quotation marks
C. at the end of the paragraph
D. between commas
TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streaming is gaining in popularity. A poll reported that 54% of 2342 American adults surveyed said they have watched digitally streamed TV programming on some type of device. (a) Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time. (Round your answers to three decimal places.)
Answer:
The 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time is (0.514, 0.566). This means that we are 99% sure that the true proportion of all American adults surveyed said they have watched digitally streamed TV programming on some type of device is between 0.514 and 0.566.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
A poll reported that 54% of 2342 American adults surveyed said they have watched digitally streamed TV programming on some type of device.
This means that \(\pi = 0.54, n = 2342\)
99% confidence level
So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.54 - 2.575\sqrt{\frac{0.54*0.46}{2342}} = 0.514\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.54 + 2.575\sqrt{\frac{0.54*0.46}{2342}} = 0.566\)
The 99% confidence level for the proportion of all adult Americans who watched streamed programming up to that point in time is (0.514, 0.566). This means that we are 99% sure that the true proportion of all American adults surveyed said they have watched digitally streamed TV programming on some type of device is between 0.514 and 0.566.
What is the image point of (-7,1) after a translation left 4 units and down 5 units?
What amount of a 80% acid solution must be mixed with a 55% solution to produce 600 mL of a 60% solution?
Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.
The equation can be set up as follows:
0.80x + 0.55(600 - x) = 0.60(600)
Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.
By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.
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Let x=amount of 80% solution needed
Then 600-x=amount of 30% solution needed
Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:
0.80x+0.30(600-x)=0.40*600 get rid of parens
0.80x+180-0.30x=240 subtract 180 from each side
0.80x+180-180-0.30x=240-180 collect like terms
0.50x=60 divide each side by 0.50
x=120 ml---------------------amount of 80% solution needed
600-x=600-120=480 ml---------------amount of 30% solution needed
CK
120*0.80+480*0.30=0.40*600
96+144=240
240=240
A class of 50 students votes for a class president.
Candidate A receives 19 votes.
Candidate B receives 31 votes.
Use this information to answer the questions below.
What fraction shows the proportion of students who voted for Candidate B?
What percent of students voted for Candidate B?
%
The fraction of the student that voted candidate B is 31 / 50.
The percentage of the student that voted candidate B is 62%.
How to to find the fraction and percentage of student who voted candidate B?A class of 50 students votes for a class president.
Candidate A receives 19 votes.
Candidate B receives 31 votes
The fraction that shows the proportion of student that voted for candidate B is as follows:
fraction of student that voted candidate B = number of student that voted candidate B ÷ total number of students
fraction of student that voted candidate B = 31 / 50
The percentage of student that voted for candidate B = 31 / 50 × 100
The percentage of student that voted for candidate B = 3100 / 50
The percentage of student that voted for candidate B = 62%
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MATH
BOARD
Model the product on the grid. Record the product.
1. 3 X 13 =
2. 5 >
Find the product.
Using the grid model, the product of 3 and 13 is 39
Product refers to the result of multiplying two or more numbers or quantities together. It is a fundamental operation in arithmetic and algebra. When multiplying two numbers, the product is obtained by adding together a number of copies of one of the numbers, equal to the value of the other number.
Given, two numbers 3 and 9, and a grid.
To determine the product of 3 and 13 just count all the grids covered in 3 rows up to 13 columns or adding 3 for 13 times will result in 39.
Count the grids covered in a red box attached in the image below.
3+3+3+3+3+3+3+3+3+3+3+3+3=39
So, the product of 3 and 13 is 39.
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Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
I need help I do not know how to do this. First drop down says:Definition of angle bisectoraddition property of Equalityangle addition postulateSecond drop down says:multiplication property of Equalitysubstitution propertyDivision property of Equalitysubtraction property of Equalityaddition property of equality
2) angle addition postulate
3) 129°
5) substitution property
6) 13x - 1
7) 13x = 130
8) x = 10
9) m∠EFI = 40°
Explanation:
2) From the angle diagram the sum of both angles give angle GFI
m∠GFE + m∠EFI = m∠GFI
Reason: angle addition postulate
3) Since m∠GFI = 129 degree (given)
m∠GFE + m∠EFI = 129°
5) m∠GFE = (9x - 1)°
m∠EFI = 4x°
9x - 1 + 4x = 129
We substituting the angles with the values given.
Hence, it is substitution property
6) we simplify the expression:
9x -1 + 4x = 129
9x + 4x - 1 = 129
13x - 1 = 129 (combine like terms)
7) Add 1 to both sides:
13x - 1 + 1 = 129 + 1
13x = 130 (addition property of equality)
8) divide both sides by 13:
13x/13 = 130/13
x = 10 (division property of equality)
9) m∠EFI = 4x°
m∠EFI = 4(10)
m∠EFI = 40° (substitution property)
Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide.
How much fencing he will need?
Answer:
should be 38 feet
Step-by-step explanation:
P=L+L+W+W
12+12=24
7+7=14
14+24=38
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
Biking at 10 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it takes another hour for her to get to work when the train travels 20 mph. How far does Kristen travel to work?
Step-by-step explanation:
hugdth guha hjjbvdu hhgdd huu6dv uufffgk ftj ghik
The time a student spends on an online test is compared with the score recieved. After conducting linear regression, a correlation coefficient of 0.867 is determined. Clearly and consicely explain what this r-value means.
Answer:
The following data relates the time a student spends on an online test with the final score: (8 points, 20 minutes), (22 points, 40 minutes), (33 points, 58 minutes), (38 points, 120 minutes). Use your TI83 to determine the linear regression equation, and choose the best response below a. Points = -9.3(minutes) +0.26
Step-by-step explanation:
That's literally it hehe
which number line shows the solution to x + 8 > 15
7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The given inequality is:
x + 8 > 15
Subtracting 8 on both sides of the equation:
x + 8 - 8 > 15 - 8
x > 7
Here, 7 is not included and hence it is depicted using an open dot.
Hence, option B is the correct answer.
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make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Charmaine purchased a prepaid phone card for $15. Long distance calls cost 7 cents a minute using this card. Charmaine used her card only once to make a
long distance call. If the remaining credit on her card is $13.88, how many minutes did her call last?
the call lasted 16 minutes
Proofs and congruent triangles 2 forgot to put images last time 50 points ( serious answer or 1 star and report ) ( YOU NEED TO CHECK MY ANSWERS PLEASE )
Answer:
Step-by-step explanation:
Q3 asks for reasons of statements in a theorem proof.
1 Given is correct
2 Definition of right angle is correct
3 should be sum of interior angles in a triangle
4 is substitution
5 subtracting 90degree from left and right hand side
6 is definition of complementary
The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384
Answer: 192.. just took the test :)
Step-by-step explanation:
The number of boxes contains more than 340 nails will be 190. Option B is correct.
What is Z score?The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.
Z score for the 340 nails is found as;
\(\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1\)
If the probability of the z score is grater than 1 is;
P(Z≥1)=1-P(Z≤1)
P(Z≥1)=1-0.8413
P(Z≥1)=0.1587
For the 1200 boxes with more than the 340 nails is 192.
Hence,option B is correct.
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Can anyone help me???
Answer:
x=14√3
y= 28
Step-by-step explanation:
Below i've attached a 30-60-90 triangle
we can see from the picture that the side length opposite from 30 is just a
which means at a=14
The hyp is equal to 2a= 28
and x is equal to 14√3
diane bought a pair of shoes for $34. The next week she noticed that the price for the same pair of shoes was now $54. Find the percent of change.
Percent of change of price is 59%.
How to calculate percent of change?The percentage change calculator will measure the difference between two numbers and specify whether the difference is an increase or decrease.
A % change calculator like this one. The number of apples has increased (changed) by 100% from 10 to 20.
When there is a "old" and "new" number or a "initial" and "final" value, this calculator will be utilized most frequently. While a negative change is expressed as a decrease in the absolute value of the percentage value, a positive change is expressed as an increase in the percentage value.
Percentage Change=\(\frac{V2-V1}{V1} *100\);
Given,
V1=34,V2=54;
⇒Percentage change=\(\frac{54-34}{34} *100\)=59%
Percent of change of price is 59%.
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The 11th term of an arithmetic progression is 14 and the sum of the first 26 terms is 416. Find the first term and the common difference.
Answer:
The first term is 6; the common difference in 0.8.
Step-by-step explanation:
The nth term is:
\( a_n = a_1 + (n - 1)d \)
The sum of the first n terms is:
\( S_n = \dfrac{n(a_1 + a_n)}{2} \)
\( a_{n} = a_1 + (n - 1)d \)
\( a_{11} = a_1 + (11-1)d \)
\( a_1 + 10d = 14 \) Equation 1
\( S_n = \dfrac{n(a_1 + a_n)}{2} \)
\( S_{26} = \dfrac{26(a_1 + a_{26})}{2} \)
\( \dfrac{26(a_1 + a_1 + 25d}{2} = 416 \)
\( \dfrac{52a_1 + 650d)}{2} = 416 \)
\( 26a_1 + 325d = 416 \) Equation 2
Equation 1 and Equation 2 form a system of equations in 2 unknowns.
To eliminate a_1, subtract 26 times Eq. 1 from Eq. 2.
\( 65d = 52 \)
\( d = \dfrac{52}{65} \)
\( d = \dfrac{4}{5} = 0.8 \)
\( a_1 + 10d = 14 \)
\( a_1 + 10 \times 0.8 = 14 \)
\( a_1 + 8 = 14 \)
\( a_1 = 6 \)
Answer:
The first term is 6; the common difference in 0.8.
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
write z=1-3i in exponential form
Answer:
z=re ^iθ =2e ^i 3/π
Step-by-step explanation:
hope this helps
Hey guys may yall help please and thank you !!
Answer: 12? im pretty sure
Step-by-step explanation: 1/4 of a unit so 4 for 1 unit, 4 x 3 is 12 units for 3