It would take Terick 12 minutes to run one mile
Speed, Distance and TimeFrom the question, we are to determine the how long it would take Terick to run one mile
From the given information,
Terick ran 2/3 of a mile in 8 minutes
If Terick runs 2/3 mile in 8 minutes
Then,
He will run 1 mile in x minutes
x = 8 ÷ (2/3)
x = 8 × 3/2
x = 12 minutes
Hence, it would take Terick 12 minutes to run one mile
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Let’s say you’re building a mini city, each apartment complex costs $10 each enough to supply 100 people, how many do I need to supply 50,000 people?
An urn has 4 green balls and 6 red balls. A experiment consists of selecting 5 balls from the urn without replacement. Find the expected number of red balls chosen, and its variance.
The expected variance of red balls chosen is 2/3 from the urn.
Define the term variance?Variability is measured by the variance. The average of the squared variance is used to calculate it. The degree of dispersion within your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.Six red balls and four green balls are in an urn.
Till a urn is empty, we take balls out of it one at a time without replacing them and noting their order of the colors.
Let X represent the proportion of red balls in the initial five drawings.Y represent the proportion in the next five draws.The, the variance is found as-
Variance(X,Y) = E(XY) - E(X).E(Y).E(XY)
E(XY) = 25×(6/10)(4/9)
E(X) = 5×(6/10)
E(Y) = 5×(4/10)
Thus,
Variance(X,Y) = 25(6/10)(4/9) - 25(6/10)(4/10)
Variance(X,Y) = 2/3
Thus, the variance for choosing red balls is 2/3.
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Julie has 400 books to sell.
Each book is Fiction or Non-fiction.
The ratio of the number of Fiction books to the number of Non-fiction books is 15:10.
Each book has a normal price of £10.
Julie reduces the price of all the Non-fiction books to half price.
Julie sells all 400 books.
Work out the total amount of money Julie will receive.
yall im done mathematics aint my thing.
The answer u should date me <3
I love you I’m ur biggest fan ;)
SS = a. (df)(s^2)b. (df)(s)c. (n)(s^2)d. (n)(s)
Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.
The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:
a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.
b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.
c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.
d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.
In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.
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find the determinant by row reduction to echelon form.
To find the determinant of a matrix using row reduction to echelon form, you can follow these steps:
1. Start with the given matrix.
2. Apply row operations to convert the matrix into echelon form. Row operations include multiplying a row by a nonzero scalar, adding a multiple of one row to another, and swapping two rows.
3. Continue performing row operations until you reach the echelon form, where all leading coefficients (the leftmost nonzero entry in each row) are 1 and the entries below leading coefficients are all zeros.
4. Once you have the matrix in echelon form, the determinant can be calculated by multiplying the leading coefficients of each row.
5. If you perform any row swaps during the row reduction process, keep track of the number of swaps. If the number of swaps is odd, multiply the determinant by -1.
Let's look at an example to illustrate these steps. Suppose we have the following 3x3 matrix:
| 2 1 3 |
| 1 -2 -4 |
| 3 0 1 |
Step 1: Start with the given matrix.
Step 2: Apply row operations to convert the matrix into echelon form.
First, we can multiply the first row by -1/2 and add it to the second row, resulting in:
| 2 1 3 |
| 0 -5/2 -5/2|
| 3 0 1 |
Next, multiply the first row by -3/2 and add it to the third row, giving us:
| 2 1 3 |
| 0 -5/2 -5/2|
| 0 -3/2 -8/2|
Finally, multiply the second row by -2/5 to get a leading coefficient of 1:
| 2 1 3 |
| 0 1 1 |
| 0 -3/2 -8/2|
Step 3: The matrix is now in echelon form.
Step 4: Calculate the determinant by multiplying the leading coefficients of each row:
2 * 1 * (-8/2) = -8
Step 5: Since no row swaps were performed, we don't need to multiply the determinant by -1.
Therefore, the determinant of the given matrix is -8.
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Which of the following statements about the mean absolute deviation (MAD) is the most accurate? A. It is the square root of the standard deviation. B. It can be a positive number or a negative number. C. It is measured in the same units as the original data. D. It is the arithmetic mean of the squared deviations from the mean.
The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.
The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.
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Is analyzing a sequence challenging for you
Answer:
no
whats the point of this post?
ANYONE ON BRAIN PLS HELP ME.
Answer:
30420ft
Step-by-step explanation:
We have to break the shape into two. So..
13 times 26=338
now the top..23-13=10
10 times 9 = 90
338 times 90 = 30420 ft
Find the exact values of x and y.
13 and 13√2 is the value of x and y in the given diagram
Trigonometry identityThe given diagram is a right triangle, we need to determine the value of x and y.
Using the trigonometry identity
tan45 = opposite/adjacent
tan45 = x/13
x = 13tan45
x = 13(1)
x = 13
For the value of y
sin45 = x/y
sin45 = 13/y
y = 13/sin45
y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.
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A design on the window of a building. The curved part XY is an arc of a circle. The rise of the segmental arc is 10cm, it's span is 100cm
What is 15% of 76, rounded to two decimal places?
Answer:
its 5.077
Step-by-step explanation:
you divide 75 by 15 which = to 5.066666667
then you round the first 6 to 7 and you get this
5.077 or 507.7 "don't mind me i ain't that good in math :("
Y-3=2(x+1), x equals -1, what is y?
Answer:
Y=3
Step-by-step explanation:
Put in x=-1
y-3 = 2(-1+1)
y-3 = 2(0)
y-3=0
add 3 more to both sides
y-3+3 = 0+3
y =3
(Don't forget Brainliyest)
Answer:
\( \sf \: y = 3\)
Step-by-step explanation:
Now we have to,
→ Find the required value of y.
We have to use,
→ x = -1
The equation is,
→ y - 3 = 2(x + 1)
Then the value of y will be,
→ y - 3 = 2(x + 1)
→ y = 2(x + 1) + 3
→ y = 2((-1) + 1) + 3
→ y = 2(0) + 3
→ y = 0 + 3
→ [ y = 3 ]
Hence, the value of y is 3.
a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
Pls help and explain it
Answer:
(a) School B
you can compare the coverages of A grades for both schools
School A: 25
School B: 50
50 > 25, so school B
(b) School B
School A: 18
School B: 70
70 > 18, so also school B
(c). School B has a higher percentage of nearly all the grades than school A except for D grade.
What is the output value for the following function if the input value is 3.2?y = 2x - 124.215.4
The Solution:
Given:
\(y=2x-1\)We are asked to find the output when the input is 3.2
That is, find y when x = 3.2
\(y=2(3.2)-1=6.4-1=5.4\)Therefore, the correct answer is 5.4 [option 4]
hi
Step-by-step explanation:
a
researchers analyzed data from more than 5000 adults and found that the more diet sodas a person drank, the greater the person's weight gain. does this mean that drinking diet soda causes weight gain?
Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.
But it is not true that drinking diet soda causes weight gain.
The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.
the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.
Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.
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The polynomial f(x) has degree 4. Choose each statement that could describe all the zeros of f
One zero with multiplicity 3
One zero with multiplicity 4
One zero with multiplicity 5
One zero with multiplicity 1 and one zero with multiplicity 2
One zero with multiplicity 1 and one zero with multiplicity 3
One zero with multiplicity 2 and two zeros with multiplicity 1
One zero with multiplicity 2 and three zeros with multiplicity 1
Two zeros with multiplicity 2
Two zeros with multiplicity 2 and two zeros with multiplicity 1
Two zeros with multiplicity 2 and three zeros with multiplicity 1
Two zeros with multiplicity 1
Three zeros with multiplicity 1
Four zeros with multiplicity 1
Five zeros with multiplicity 1
The answer choices which could correctly describes all the zeroes of the polynomial in discuss are;
One zero with multiplicity 4.One zero with multiplicity 1 and one zero with multiplicity 3.One zero with multiplicity 2 and two zeros with multiplicity 1.Two zeros with multiplicity 2Four zeros with multiplicity 1.Which answer choices could correctly describe the zeroes of a polynomial with degree 4?It follows from the task content that the answer choices which could correctly represent the zeroes of the polynomial be determined.
Since the degree of the polynomial is 5, the number of factors (linear) such polynomial s would have must be 4.
On this note, the total factors is determined by the aggregate sum of zeroes and multiplicities.
Ultimately, the possible zeroes for the polynomial are as indicated above.
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I need help with someone explaining how to find the range of this! This course didn’t explain anything!
Answer:
\((-infinity,3)\), D
Step-by-step explanation:
3 if x is greater than or equal to 1 is nothing. That leaves us with \(h(x)=2x+1\) if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is \((-infinity,3)\), which is D.
A photographer had to change the size of his cover photo. He increased the length by 30% and decreased the width by 10%. By what percent was the area of the final photo changed?
PLEASE HELP!!!!!!
Answer:
The area of the final photo changed by 17%.
Step-by-step explanation:
:Original area: A1 = L * W
Increased length by 30%:
New length = 1.3LDecreased width by 10%:
New width = 0.9W New area:
A2 = 1.17LWPercentage change in area: 17%
Answer: It increased by 17 %
Step-by-step explanation:
Please help! will give brainlest!
cscθ is the same as 1/sinθ
Explanation:
csc stands for cosec which is equivalent to 1/sinθ
The expression is thus equal to 1/[sin(4π/3)]
Since we know by consulting the unit circle that sin(4π/3) = - [(√3)/2]
we get the expression 1/[sin(4π/3)] = 1/(-√3/2)
which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3
for which division model is memorizing basic arithmetic facts
vital?
Memorizing basic arithmetic facts is vital for students in the division model of mathematics. It forms the foundation for solving division problems efficiently and accurately.
In the division model of mathematics, students learn how to divide numbers and find the quotient. Memorizing basic arithmetic facts, such as multiplication tables, is crucial for performing division operations quickly and accurately. When students have automatic recall of basic facts, they can focus on the steps involved in division without getting bogged down by the need for repeated calculations. For example, knowing that 8 multiplied by 6 equals 48 allows students to determine the number of 6s in 48 (which is 8) without having to repeatedly perform the multiplication. This fluency with basic arithmetic facts improves computational efficiency and builds a solid foundation for more complex mathematical concepts.
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Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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What is the slope of a line that is perpendicular to a line represented by the equation 6y=−7x+4?
Enter your answer, as a fraction in simplest form, in the box.
The slope of the line that is perpendicular 6y=−7x+4 is: 6/7.
What are the Slopes of Perpendicular Lines?If one line has a slope of a/b, the slope of the line that is perpendicular to the line would be the negative reciprocal of a/b, which is -b/a.
If the slopes of perpendicular lines are multiplied together, for example (a/b)(-b/a), we would always have a result of -1.
Rewrite the equation 6y = −7x + 4 in slope-intercept form as y = mx + b, in other to determine the value of m = slope.
6y/6 = −7x/6 + 4/6
y = −7/6x + 2/3
The slope of 6y = −7x + 4 is -7/6. 6/7 is the negative reciprocal of -7/6. Therefore, the slope of the perpendicular line is: 6/7.
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A square garden has an area of 0625
hectares Okoth went round it twice
how many metres did he cover
Answer:
to answer this question i need to know what and what x together to get the area
Step-by-step explanation
what is the denominator for 2/3 and 4/6
Answer:
the least common denominator for 3 and 6 is 6
b + 4.8 = 8.09
b + 4.8 x = 8.09x
b =
Which x value are solution to both of the following inequality 128>x and x<82
Answer:
A is the answer they are all possible answers but the answer a is the best
Step-by-step explanation:
Answer:
All 3 of them
Step-by-step explanation:
A B and C are correct
Which of the following is the independent variable of G(F(y)) ?
A. F(x)
B. x
C.у
D. G(F(y))
SUBMIT
Given:
The composition of functions is G(F(y)).
To find:
The independent variable of G(F(y)).
Solution:
Independent variable is the variable whose value independent from other variable. It means the value of independent variables is not depend on the other variable.
We know that G(F(y)) can be written as
\(G(F(y))=(G\circ F)(y)\)
Here, the value of function G depends on F(y) and the value of F(y) depend on variable y. But value of y does not depend on any variable. So, y is the independent variable of G(F(y)).
Therefore, the correct option is C.
Solve the equation. Round the answer to the nearest tenth.
5*6^3n=20
Step-by-step explanation:
5×6'3n=20
30'3n=20
3n=20-30
3n/3= -10/3
n= -3
When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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