Answer:
$287.50
Step-by-step explanation:
31.25 x 9.20 = $287.50
Answer:
$287.50
Step-by-step explanation:
1st multiply $9.20 by 31 (which is equal to $285.20)
then divide $9.20 by 4 ($2.30)
then add both answers and you will get $287.50
A bicycle tire has a radius of 13.25 inches. How far will the bicycle travel in 40 rotations of the tire?
Answer:
3330.08 inches of 277.51 feet
Step-by-step explanation:
13.25X2X3.14159=length of one rotation=83.25
40 rotations=40(83.25)=3330.08 inches
the distribution of heights of young men is approximately normal with mean 69.2 inches and standard deviation 2.5 inches. what is the standard score of a height of 72 inches (6 feet)?
The standard score for the distribution with mean at the height of 6 feet or 72 inches is 1.12.
The normal distribution of height of men is approximately normal with mean 69.2 inches and standard deviation of sigma=2.5 inches
According to the empirical rule of probability, about 95% observations falls within two standard deviation of mean.
Therefore,
Lower bound=μ + 2×σ
=69.2 + 2×2.5
=69.2 + 5.0
Lower bound = 74.2
Upper bound = μ - 2 × sigma
=69.2 - 5
Upper bound = 64.2
2. The distribution of the heights of young men is approximately normal with mean μ = 69.2 inches and standard deviation of σ = 2.5
The standard score of height of 72 inches is calculated by:
z = (72-69.2)/2.5
z = 2.8/2.5
z = 1.12
Therefore the standard score for the distribution with mean at the height of 6 feet or 72 inches is 1.12.
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In -10x + y - 5; -10x and y are what?
Answer:
The answer is -20x+1y-5
Step-by-step explanation:
Consider the equations 4x=8
Which value could be substituted x to make the equation TRUE?
A-2
B-4
C-12
D-32
Answer:
A
Step-by-step explanation:
4x/4=x
8/4=2
x=2
Answer:
It's would be A hope this helpdd
ABC is a right angled triangle. If b=90 ac=96 c=30. What is ab?
Answer:
ab=48
Step-by-step explanation:
96/2=48
Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
6 for one CD and 5 for one DVD
Step-by-step explanation:
Helpppp plsssSssssssss
Answer:
your answer will be A\(x = \sqrt{52} \)
Step-by-step explanation:
hope it helps you
have a great day
Will try to mark the right answer brainiest || What's the slope of this line?
Answer:
the slope of the line is 2/3x
Step-by-step explanation:
i hope this helps :)
The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
Answer:
whats the question
Step-by-step explanation:
anscribed image text:
f(x)=5ex+e5x 1−x1=∑n=0[infinity]xn=1+x+x2+x3+⋯ex=∑n=0[infinity]n!xn=1+1!x+2!x2+3!x3+⋯sinx=∑n=0[infinity](−1)n(2n+1)!x2n+1=x−3!x3+5!x5−7!x7+⋯cosx=∑n=0[infinity](−1)n(2n)!x2n=1−2!x2+4!x4−6!x6+⋯tan−1x=∑n=0[infinity](−1)n2n+1x2n+1=x−3x3+5x5−7x7+⋯(1+x)k=∑n=0[infinity](kn)xn=1+kx+2!k(k−1)x2+3!k(k−1)(k−2)x3+⋯R=1R=[infinity]R=[infinity]R=[infinity]R=1R
The given expression consists of several mathematical series representing different functions, such as exponential, sine, cosine, and arctangent functions.
For f(x) = 5e^x + e^(5x), e^x can be represented as an infinite series using the power series expansion: e^x = 1 + x + (x^2)/2! + (x^3)/3! + ...
Similarly, sine and cosine functions have their respective Maclaurin series expansions:
sin(x) = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...
cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...
The arctangent function can be represented as an alternating series:
tan^(-1)(x) = x - x^3/3 + x^5/5 - x^7/7 + ...
Lastly, the binomial expansion of (1+x)^k has its own series representation:
(1+x)^k = 1 + kx + k(k-1)(x^2)/2! + k(k-1)(k-2)(x^3)/3! + ...
The expressions with R=[infinity] signify that these series are convergent for all real numbers x within their radius of convergence.
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Solve the inequality.
3x-5 ≥7
4
x> [?]
Enter the number that belongs in the
green box.
Solving the provided question, we can say that the value inequality equation we have is x≥4
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
the inequality equation we have is
3x-5 ≥ 7
3x ≥12
x≥4
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )
x = 7 ± 6 , then
x = 7 - 6 = 1
x = 7 + 6 = 13
Mr martins math test which is worth 100 points has 29 problems. Each problem is worth either 5 points or 2 points.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x+y=29, 5x+2y=100
Answer: 14 problems worth 5 points and 15 problems worth 2 points
Step-by-step explanation:
The vertices of a rectangle are Q (2, -3), R (2,4), S (5,4), and T (5, -3).
4. Translate rectangle QRST 3 units left and 3 units down to produce rectangle Q'R'S'T'. Find the area of QRST and the area of rectangle Q'R'S'T'.
5. Compare the areas. Make a conjecture about the areas of a preimage and its image after a
translation.
6. The vector PQ=(4,1) describes the translation of A (-1, w) onto A' (2x+1, 4) and B (8y-1,
1) onto B' (3,32). Find the values of w, x, y, and z.
4) \(A_{QRST} = A_{Q'R'S'T'} = 9\).
5) The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the geometric loci conserved the Euclidean distance.
6) x = 1, w = 3, y = - 1/4, z = 1/3
How to analyze and apply rigid transformations
Rigid transformations are transformations applied on geometric loci such that Euclidean distance is conserved. In this question we have applications of translations, a kind of rigid transformation.
Exercise 4
In this part we must determine the areas of rectangles QRST and Q'R'S'T':
Rectangle QRST
A = RS · QT
A = 3 · 3
A = 9
Rectangle Q'R'S'T'
Q'(x, y) = (2, - 3) + (- 3, - 3)
Q'(x, y) = (- 1, - 6)
R'(x, y) = (2, 4) + (- 3, - 3)
R'(x, y) = (- 1, 1)
S'(x, y) = (5, 4) + (- 3, - 3)
S'(x, y) = (2, 1)
T'(x, y) = (5, - 3) + (- 3, - 3)
T'(x, y) = (2, - 6)
A = R'S' · Q'T'
A = 3 · 3
A = 9
The rectangles QRST and Q'R'S'T' have both an area of 9 square units.
Exercise 5
The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the geometric loci conserved the Euclidean distance.
Exercise 6
In this case, we must solve the following equations:
PQ = A'(x, y) - A(x, y)
(4, 1) = (2 · x + 1, 4) - (- 1, w)
(4, 1) = (2 · x + 2, 4 - w)
(4, 1) = (2 · x, - w) + (2, 4)
(2, - 3) = (2 · x, - w)
(x, w) = (1, 3)
PQ = B'(x, y) - B(x, y)
(4, 1) = (3, 3 · z) - (8 · y - 1, 1)
(4, 1) = (2 - 8 · y, 3 · z)
(4, 1) = (- 8 · y, 3 · z) + (2, 0)
(2, 1) = (- 8 · y, 3 · z)
(y, z) = (- 1/4, 1/3)
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what is 2x ( 40+30) x4
Answer:
560
Step-by-step explanation:
2 x (40+30) x 4
2 x 70 x 4
560
hope this helps, pls mark brainliest :D
560
Step-by-step explanation:
2 x (40+30) x 4
2 x 70 x 4
560
Find the value of the variable
125
You have been given this probability distribution for the holding-period return for Cheese, Inc. stock: Assuming that the expected return on Cheese's stock is 14.35%, what is the standard deviation of these returns?
A. 4.72%
B. 6.30%
C. 4.38%
D. 5.74%
E.None of the options
Without the probability distribution, it is not possible to calculate the standard deviation accurately. Thus, none of the provided options can be considered correct without additional information.
Show me how to calculate the standard deviation of the returns?To calculate the standard deviation of the returns, we need the probability distribution of the holding-period returns and their corresponding values. Since the probability distribution is not provided in your question, it is not possible to determine the standard deviation.
To calculate the standard deviation, you would typically need the individual returns and their corresponding probabilities. With that information, you can use the formula for calculating the weighted standard deviation:
σ = √[∑(Ri - E(R))^2 * P(Ri)],
where Ri represents the individual returns, E(R) is the expected return, and P(Ri) is the probability of each return.
Without the probability distribution, it is not possible to calculate the standard deviation accurately. Thus, none of the provided options can be considered correct without additional information.
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Ten seventh graders and 15 eighth graders were selected for the elite choir ensemble.
a. Write the ratio of seventh graders to eighth graders who were selected for the
elite choir.
b. Write the ratio of seventh graders to total students who were selected for the
elite choir.
c. Write the ratio of eighth graders to total students who were selected for the elite
choir.
Answer:
Your answer should be A
According to your budget forecast you will have expenses of $1,200 next month and income of $800. How much do you have available to save?
Answer:
$400
Step-by-step explanation:
Answer:
400$
Step-by-step explanation:
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a standard deviation of 8. We are interested in determining whether the average grade of the population is significantly more than 75. The test statistic is: 3.6 045
A random sample of 16 statistics examinations from a large population was taken. The test statistic (t) for this hypothesis test is 1.8.
To determine whether the average grade of the population is significantly more than 75, we can perform a hypothesis test using the given sample data. We'll set up the null and alternative hypotheses as follows:
Null Hypothesis (H 0): The average grade of the population is not significantly more than 75.
Alternative Hypothesis (Ha): The average grade of the population is significantly more than 75.
To conduct the hypothesis test, we can use the t-test since the population variance is unknown. Here, we'll assume the sample is representative and the Central Limit Theorem applies.
To calculate the test statistic for this hypothesis test, we will use the t-distribution since the population standard deviation is unknown. The formula for the t-test statistic is as follows:
t = (sample mean - hypothesized mean) / (sample standard deviation / √(sample size))
Given the information:
Sample mean (x) = 78.6
Hypothesized mean (μ) = 75
Sample standard deviation (s) = √(variance) = √(64) = 8
Sample size (n) = 16
Let's calculate the test statistic using the formula:
t = (78.6 - 75) / (8 / √(16))
t = 3.6 / (8 / 4)
t = 3.6 / 2
t = 1.8
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Complete Question:
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal.
How do you get the test statistic?
question 1.1.2 does it appear that these city locations are sampled uniformly at random from all the locations in the u.s.? why or why not?
Based on the information given in the question, it is not clear whether the city locations are sampled uniformly at random from all the locations in the U.S. In order for a sampling method to be considered uniformly random, each possible location would have an equal chance of being chosen. Without additional information about how the locations were chosen, it is difficult to determine if the sample is truly random and uniform.
Find the degree of each polynomial.
A patient's temperature fell 2°. Later, it fell again by 2º and again after that it fell another 2°. Which expression most accurately describes the change in the patient's temperature?
The expression that most accurately describes the change in the patient's temperature is -2° (3).
Option 3 is the correct answer.
We have,
The expression that most accurately describes the change in the patient's temperature would be:
-2° + (-2°) + (-2°)
This expression represents the successive temperature drops of 2° each time.
By adding the negative values, we account for the decrease in temperature.
This can be written as,
= -2° x 3
= -2° (3)
Thus,
The expression that most accurately describes the change in the patient's temperature is -2° (3).
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Help please I might fail…
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
setting up squares of known dimension over the entire pattern describes what method of documentation?
The method of documentation that describes the setting up of squares of known dimension over the entire pattern is known as grid method.
Grid method is a method of documentation that involves the setting up of squares of known dimensions over the entire pattern to document a site. This method is commonly used in archaeological surveys and historical preservation.
Grids are used to help maintain a sense of orientation and scale in the documentation process, and they provide a reference point for mapping and recording data. Grids can be set up on maps or site plans, as well as on the ground using physical markers such as stakes or string.Grids can also be used to help facilitate excavation by allowing archaeologists to isolate specific areas of a site and keep track of their findings in a consistent and organized manner.Therefore, grid method is a simple and effective way of recording data, and it is still widely used in the field of archaeology today.
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find an interval, of length 1 and having integer endpoints, on which the function has a root.
In summary, to find an interval of length 1 and having integer endpoints on which the function has a root, we can use a trial-and-error method to identify intervals that satisfy the given criteria. The choice of interval may depend on the specific function and there may be multiple intervals that satisfy these conditions.
To find an interval on which the function has a root, we need to consider the function's behavior and identify any potential zero crossings. An interval of length 1 with integer endpoints can be represented as [a, a+1] where a is an integer.
One approach to finding a root is to plot the function and visually identify where it crosses the x-axis. Another approach is to use algebra and solve for when the function equals zero. However, without knowing the specific function, we cannot use these methods.
Instead, we can use a trial-and-error method to identify an interval that satisfies the given criteria. For example, we can start by choosing an integer a and evaluating the function at a and a+1. If the function has opposite signs at these two endpoints, then by the Intermediate Value Theorem, the function must have at least one root in the interval [a, a+1].
We can continue this process until we find an interval that satisfies the given criteria. Note that there may be multiple intervals that satisfy these conditions, and the choice of interval may depend on the specific function.
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Katrina had $138.72 in her checking account. she wrote checks to take out $45.23 and $18.00, and then made a deposit of $75.85 into her account. how much does katrina have in her account now?
PLZZ HELPPP!!!!!!!!!!
Answer:
$375.32
Step-by-step explanation:
100% - 40% = 80%
80/100 = 0.8 (multiplier)
521.28 x 0.8 = 417.024
417.024 to 417.02 (2 d.p.)
100 - 10 = (ans)/100 = 0.9
417.02 x 0.9 = 375.318
$375.32
Step 1: Find the sales price
The surfboard was marked down 40% of its original price, $521.28.
0.40(521.28) = 208.512
521.28 - 208.512 = 312.768
Step 2: Find the final price
We add the tax on the sales price, not the original price. The tax is 10% in this case.
0.10(312.768) = 31.2768
312.768 + 31.2768 = 344.0448
Final price = $344.04
---I did not round until the end in this case, but rounding at every step leads to an answer of $344.05
Hope this helps!
Help PLEASE!
Which statement is true about the equation 7(2+5x)=3x+14
7
(
2
+
5
x
)
=
3
x
+
14
?
The equation has infinitely many solutions.
The equation has infinitely many solutions.
The equation has no solution.
The equation has no solution.
The equation has one solution because x=0
.
Answer:
the first answer is correct Edge 2020
Step-by-step explanation:
Answer:
Step-by-step explanation:
-6
Use the functions to answer the question.
f(x) = -4x + 5
g(x) = x² + 2
Find f(-5).
O 50
0 25
0 -40
0 – 15
Answer:
25
Step-by-step explanation: