Answer:Range, because it measures the difference between the highest and lowest values in a datase........
Step-by-step explanation:
The median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
The measure of center that should be used to determine which location typically has the cooler temperature is the Median, because Beach Town is skewed.
The median is a measure of center that represents the middle value of a data set when it is arranged in ascending or descending order. When comparing the two histograms, Sunny Town's data is symmetric, meaning that it has roughly equal frequencies on both sides of the center. In this case, the median could be a good representation of the typical temperature in Sunny Town.
However, Beach Town's data is skewed, meaning that it is not symmetrical and has a longer tail on one side of the center. This indicates that there are more occurrences of higher temperatures in Beach Town compared to Sunny Town. In skewed data, the mean can be affected by extreme values, making it less reliable as a measure of center. The median, on the other hand, is less influenced by extreme values and can give a better indication of the typical temperature in Beach Town.
Therefore, the median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
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I just need the perimeter
Example #2 - Coordinate Perimeter/Area Calculate the area and perimeter of the shape shown. Determine the: Perimeter Area
Using composite figures, we can find that the area of the shape is 18unit² and the perimeter of the shape is 20 + √8 units.
Define composite figures?A composite shape is a shape that is made by connecting a few polygons to form a different shape. These shapes or figures can be formed from a variety of shapes, including triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.
In essence, a composite shape is a combination of fundamental shapes. It goes by the name's "composite" or "complex" shapes.
In this composite figure,
We have 2 rectangles and a triangle.
Dimension of rectangle:
Base = 2units
Height = 2 units.
Hypotenuse = √ (2² + 2²)
= √8
Area of the triangle = 1/2 × b × h
= 1/2 × 2 × 2
= 2unit².
Now, the rectangles are equal in shape and size.
Dimensions are:
Length = 4 units
Breadth = 2 units.
Area = l × b
= 4 × 2
= 8unit².
We have 2 rectangles so total area = 2 × 8
= 16unit².
Total area of the shape = area of triangle + area of 2 rectangles
= 2 + 16
= 18unit²
Now coming to the perimeter of the shape, we have to find the sum of the measure of the sides of the shape:
So, we have
2 + 4 + 2 + 6 + 6 + √8
= 20 + √8 units.
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Given the polynomial 4x2y4 − 9x2y6, rewrite as a product of polynomials. a. (2xy2 − 3xy3)(2xy2 + 3xy3) b. (2xy2 − 3xy3)(2xy2 − 3xy3) c. (4xy2 + 9xy3)(xy2 − xy3) d. (4xy2 − 9xy3)(xy2 − xy3)
Given the polynomial 4x2y4 − 9x2y6, rewrite as a product of polynomials. (2xy2 − 3xy3)(2xy2 + 3xy3). So, correct answer is A.
To multiply two binomials, we use the FOIL method which stands for First, Outer, Inner, Last. For option A, using the FOIL method, we get
(2xy² - 3xy³)(2xy² + 3xy³) = (2xy²)² - (3xy³)² = 4x²y⁴ - 9x²y⁶
This is the given polynomial, so option A is correct.
For other option, we have two identical binomials multiplied together, which would give us a trinomial with three terms, so it cannot be a product of two binomials.
Option C is also incorrect because when we multiply the two binomials, we do not get the given polynomial. Option D is incorrect as well because the signs are incorrect and we would get a different polynomial when we multiply the two binomials.
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--The given question is incomplete, the complete question is given
" Given the polynomial 4x²y⁴ − 9x²y⁶, rewrite as a product of polynomials. a. (2xy² − 3xy³)(2xy² + 3xy³) b. (2xy² − 3xy³)(2xy² − 3xy³) c. (4xy² + 9xy³)(xy² − xy³) d. (4xy² − 9xy³)(xy² − xy³)"--
Sam started the week with a balance of -$10 in his checking account. Then he deposited some money into the account. The ending balance was $70. How much did sam deposit?
Answer:
Sam balance was -10 and the ending balance was $70
=80+(-10)
=$70
wo random samples of earnings of professional golfers were selected. one sample was taken from the professional golfers association, and the other was taken from the ladies professional golfers association. at , is there a difference in the means? the data are in thousands of dollars. use the critical value method with tables. pga lpga
in general, to perform a hypothesis test comparing the means of two independent samples using the critical value method, you would follow these steps:
State the null and alternative hypotheses. For example, the null hypothesis could be that there is no difference in means between the two populations (i.e., H0: µ1 - µ2 = 0), and the alternative hypothesis could be that there is a significant difference in means (i.e., Ha: µ1 - µ2 ≠ 0).
Determine the level of significance, α, which represents the probability of rejecting the null hypothesis when it is actually true. For example, if α = 0.05, then there is a 5% chance of making a Type I error (rejecting the null hypothesis when it is true).
Calculate the test statistic. The most common test statistic for comparing the means of two independent samples is the t-test. The formula for the t-test is:
t = (x1 - x2) / [s^2pooled/n1 + s^2pooled/n2]^0.5
where x1 and x2 are the sample means, s^2pooled is the pooled variance (calculated using the two sample variances and sample sizes), and n1 and n2 are the sample sizes.
Determine the critical value(s) from the t-distribution table based on the degrees of freedom (df) and level of significance (α). The degrees of freedom for a two-sample t-test is calculated as:
df = n1 + n2 - 2
Compare the test statistic to the critical value(s). If the absolute value of the test statistic is greater than the critical value(s), then reject the null hypothesis; otherwise, fail to reject the null hypothesis.
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The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
What number should be written in the penultimate line of the script instead of -1 for the function f to be linear? justify
For the function f to be linear, the number that should be written in the penultimate line of the script should be 0 because a linear function has a constant slope and no term with a power higher than 1.
In the general form of a linear function
y = mx + b
where m is the slope and b is the y-intercept.
Since the function f is defined as
f(x) = x² + mx + b
we can see that it is a quadratic function.
Therefore, to make it linear, we need to eliminate the x² term.
To eliminate the x² term, we can set the coefficient of x² to 0. Since the coefficient of x² is 1, we can subtract x² from both sides of the equation
f(x) = x² + mx + b
f(x) - x² = mx + b
Now, we have a linear function since the term with x² has been eliminated. Thus, the number that should be written in the penultimate line of the script is 0, which will make the coefficient of x² equal to 0 and eliminate the quadratic term.
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7z + 7> - 2z -4 solve the following for inequality for z simplest form
Answer:
z > - [tex]\frac{11}{9}[/tex]
Step-by-step explanation:
7z + 7 > - 2z - 4
9z + 7 > - 4
9z > -11
z > - [tex]\frac{11}{9}[/tex]
Answer: Just turn it into an equation! Replace the > with a =.
Step-by-step explanation:
Subtract 7 from both sides (bc you’re doing the opposite of +7) So 7z +7-7 cancels out so you just have 7z. 7z = -2z -4 -7, so 7z = -2z -11
Add 2z to both sides (bc your doing the opposite again) to get 9z = -11
Divide both sides by the number of the of the term with both a number and variable, in this case 9z, the number is 9. So 9z/9= -11/9 so simplified, z= -11/9
Final answer = -11/9
Hope this helps :D
what is 100000^3? my caculater wont tell me!
Answer:
1e+15 or 1.000.000.000.000.000
Step-by-step explanation:
what is 100000^3? my caculater wont tell me!
100000³ = 100000 × 100000 × 100000
100000 × 100000 × 100000 =
10000000000 × 100000 =
1e+15 or 1.000.000.000.000.000
A salesman and 30% commission on all merchandise that he sells last month. He sold $700 worth of merchandise how much commission in dollars did he earn last month
What is the area of a right triangle with a height of ten and one-half feet and a base of 33 feet?
twenty-one and three-fourths ft2
forty-three and one-half ft2
one hundred seventy-three and one-fourth ft2
three hundred forty-six and one-half ft2
The area of the right triangle is 173.25 square feet.
What is the area of the right triangle?The formula for the area of a right triangle is:
A = (1/2)bh
where A is the area, b is the base, and h is the height.
We are given that the height of the right triangle is ten and one-half feet (10.5 ft) and the base is 33 feet.
Substituting the given values into the formula, we get:
A = (1/2)(33)(10.5)
Simplifying the expression on the right side, we get:
A = 173.25
Therefore, the area of the right triangle is 173.25 square feet.
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please i need your help for today please i would really appreciate it
Answer:
increasing: x > 0
Step-by-step explanation:
Given a table of function values, you want to know the interval on which the function is increasing.
IncreasingA function is increasing if f(x)-values get larger when x-values get larger. As we go down the table, the x-values get larger.
In the first three lines of the table, the f(x)-values are getting smaller. The function is decreasing on that interval, x < 0.
In the last three lines of the table, the f(x) values are getting larger. The function is increasing on that interval, x > 0.
__
Additional comment
The point (0, 0) represents a minimum. The function is not increasing or decreasing at that point, so the interval of interest is x > 0, not x ≥ 0.
A salesman's commission varies directly as his sales.If the commission is $10 for $100 in sales, find the commission for $150 in sales.
a. $12 b. $20 c. $15 d. $25
The commission for $150 in sales is $15. This corresponds to option (c) in the given answer choices.
We are told that the salesman's commission varies directly with his sales. This means that if the sales increase by a certain percentage, then the commission will also increase by the same percentage. We can set up a proportion to solve for the commission:
Commission/Sales = Commission Rate
We are given that the commission rate is $10 for every $100 in sales. We can use this information to set up a proportion:
Commission/150 = 10/100
To solve for the commission, we can cross-multiply and simplify:
Commission = (150 x 10)/100 = $15
In general, if we let x represent the sales amount, and c represent the commission, then we can use the formula:
c = (x/100) * 10
where 10 represents the commission rate of $10 per $100 in sales. We can use this formula to calculate the commission for any given sales amount.
Therefore, Correct option is C.
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a textile manufacturing process finds that on average, two flaws occur per every 50 yards of material produced. a. what is the probability of exactly two flaws in a 50-yard piece of material? b. what is the probability of no more than two flaws in a 50-yard piece of material? c. what is the probability of no flaws in a 25-yard piece of material?
a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.
b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.
c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.
To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by
P(k flaws) = (e^(-λ) × λ^k) / k!
So, for k=2, we have
P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707
Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.
b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have
P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)
We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1
P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707
To find P(0 flaws), we use the same formula with λ=2 and k=0
P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353
Therefore, we have:
P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767
So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.
c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:
P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679
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A number line going from negative 2 to positive 1. What is the correct order of the fractions from least to greatest? Point A: −11 3 Point B: −2 3 Point C: 1 3 Point D: −12 3 The correct order for the fractions is .
Answer:
D, A, B, C
Step-by-step explanation:
-12/3, or -4, is lowest
-11/3, or -3.6, is 0.3 more, therefore closer to 0.
-2/3, or -0.6, is much closer to 0, precisely 3 units closer.
1/3, or 0.3, is the only positive number, so it is the most amount.
1. discuss the internal validity of the regressions that you used to answer empirical exercise 8.2(l). include a discussion of possible omitted variable bias, misspecification of the functional form of the regression, errors in variables, sample selection, simultaneous causality, and inconsistency of the ols standard errors.
Answer: Empirical Exercise 8.2(l) involves running a regression to estimate the relationship between two variables of interest. In evaluating the internal validity of the regression used to answer this exercise, we need to consider several potential sources of bias and other issues that could affect the accuracy of the estimated relationship.
Omitted variable bias: This occurs when a relevant variable is left out of the regression model. If this happens, the estimated coefficients may be biased and inconsistent. For example, if we are estimating the effect of education on earnings but fail to include information about work experience, the coefficient on education may be biased upwards.
Misspecification of the functional form of the regression: If the relationship between the dependent variable and the independent variable(s) is nonlinear, we may need to use a different functional form of the regression equation to obtain accurate estimates. If we fail to do so, the estimated coefficients may be biased and inconsistent.
Errors in variables: When measurement errors occur in the independent variable(s), this can cause the estimated coefficients to be biased and inconsistent.
Sample selection: If the sample used to estimate the regression equation is not representative of the population of interest, then the estimated coefficients may be biased and inconsistent.
Simultaneous causality: When there is a two-way causal relationship between the dependent variable and the independent variable(s), it may not be possible to determine the direction of causality from the regression coefficients.
Inconsistency of the OLS standard errors: If there is heteroskedasticity or autocorrelation in the data, then the ordinary least squares (OLS) standard errors may be inconsistent. This can lead to incorrect conclusions about the statistical significance of the estimated coefficients.
To address these issues, researchers should take care to select an appropriate sample, use a suitable functional form of the regression equation, and account for any relevant variables that could be omitted or measured with errors. It may also be necessary to use alternative statistical techniques to account for simultaneous causality or heteroskedasticity in the data. Finally, researchers should always test the robustness of their results to different model specifications and sensitivity to potential sources of bias.
Step-by-step explanation:
How many miles go into 10,000 kilometers
Answer:
Step-by-step explanation:
6213.712
Answer:
10,000 Kilometers = 6,213.7119 Miles
Step-by-step explanation:
Como se resuelve esto
2x²-11x=-14
Mediante factorizacion
The solutions to the equation are x = 7/2 or x = 2. This is because if either of the factors (2x - 7) or (x - 2) equals zero, then the whole expression will equal zero.
To solve the quadratic equation 2x²-11x=-14 by factorization, we need to rearrange the equation to bring all terms to one side so that it is in the form ax² + bx + c = 0.
First, we add 14 to both sides of the equation, which gives us:
2x² - 11x + 14 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to give the constant term (14) and add to give the coefficient of the middle term (-11). In this case, the two numbers are -2 and -7, as (-2) x (-7) = 14 and (-2) + (-7) = -9.
Using these two numbers, we can rewrite the middle term as -2x - 7x, which gives us:
2x² - 2x - 7x + 14 = 0
We can then factorize the first two terms and the last two terms separately, which gives us:
2x(x - 1) - 7(x - 2) = 0
We can then use the distributive property to simplify the equation:
2x² - 2x - 7x + 14 = 0
2x(x - 1) - 7(x - 2) = 0
(2x - 7)(x - 2) = 0
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11. Phyllis ran in a 5-kilometer race to help raise money for the school. How many meters long is the race?
Answer:5000 meters
Step-by-step explanation:1km=1000m
5. Find the perimeter and area
*Triangle- based prism*
Step-by-step explanation:
for the perimeter you have to say two brackets live plus height plus with plastic
What is the area of this figure? 10 mi 17 mi 3 mi 4 mi 4 mi 6 mi 4 mi 18 mi
The area of the figure is 197 square miles
How to find the area of the figure.To find the area of the figure, we need to first identify the shape of the figure. From the given dimensions, it appears to be an irregular quadrilateral with a triangle on top.
We can divide the figure into two parts: a rectangle with dimensions 17 mi by 10 mi, and a triangle with base 18 mi and height 3 mi.
The area of the rectangle is:
Area of rectangle = length x width = 17 mi x 10 mi = 170 mi^2
The area of the triangle is:
Area of triangle = (base x height) / 2 = (18 mi x 3 mi) / 2 = 27 mi^2
Therefore, the total area of the figure is the sum of the areas of the rectangle and triangle:
Total area = 170 mi^2 + 27 mi^2 = 197 mi^2
So the area of the figure is 197 square miles.
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Which quadratic inequality best describes the graph?
Answer: parabolic curve
Step-by-step explanation:
Answer: parabolic curve
Step-by-step explanation:
What is the value of the quadratic equation: y=4x^2+8x+7
The value of quadratic equation with the help of hit and trial method is 39
what is quadratic equation ?A quadratic equation is a polynomial equation of degree 2, which means that the highest power of the variable (usually x) in the equation is 2. It is in the form:
ax^2 + bx + c = 0
where a, b, and c are constants and a is not equal to zero.
According to given informationthe value of given quadratic equation is
given
y=4x²+8x+7
using hit and trial method:
The value of the quadratic equation y = 4x² + 8x + 7 depends on the value of x.
To find the value of y for a specific value of x, simply substitute that value of x into the equation and solve for y.
For example, if x = 2, then:
y = 4(2)² + 8(2) + 7
y = 16 + 16 + 7
y = 39
So the value of the quadratic equation y = 4x^2 + 8x + 7 when x = 2 is 39.
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Help on both problems pls
Answer:
DE = √21
x = 10
Step-by-step explanation:
4)
AC is bisected by BX
AC/2 = 8/2 = 4 = AB
BX² + AB² = AX²
3² + 4² = AX²
AX = 5 = radius of the circle
DE² = DX² - EX²
DE² = 5² - 2² = 25 - 4 = 21
DE = √21
6)
x² = (11-5)² + 8² = 36 + 64 = 100
x = √100 = 10
x = 10
The vertices of a figure are given. Rotate the figure as described. Find the coordinates of the image.
E(−4, 1), F(−3, 3), G(−2, 3), H(−1, 1)
180°
about the origin
I NEED HELP ON THIS ASAP!!!
1. The numeric values of the function are given as follows:
x = -4, y = 1/16.x = -3, y = 1/8.x = -2, y = 1/4.x = -1, y = 1/2.x = 0, y = 1.2. As x approaches negative infinity, y approaches zero.
How to calculate the numeric value of a function or of an expression?To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.
The numeric values for this problem are given as follows:
x = -4, y = 1/16, as 2^(-4) = 1/2^4 = 1/16.x = -3, y = 1/8, as 2^(-3) = 1/2^3 = 1/18.x = -2, y = 1/4, as 2^(-2) = 1/2^2 = 1/4.x = -1, y = 1/2, as 2^(-1) = 1/2^1 = 1/2.x = 0, y = 1, as 2^(0) = 1/2^0 = 1.Increasing the negative exponent, the number gets closer to zero.
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PLEASE HELP I'LL GIVE THE BRAINLIEST!
Answer:
Box A: 2 × 4.5 × 6 = 54 cubic inches
Box B: 6 × 2.5 × 3 = 45 cubic inches
Box C: 5 × 4.5 × 2.25 =
50.625 cubic inches
Box D: 2.5 × 2.25 × 3 = 16.875 cubic inches
From least to greatest, the order of the boxes' volumes is D, B, C, A.
Mr ade plans to spend his monthly salary as fellow
food-20%
children-25%
parents-20%
car-10%
entertainment-10%
saving-2½
miscellenceous-2½
if the amount of saving kept for saving is Ghc 250.00. calculate his
a) monthly salary
b) total amount spent on his parent
a) His monthly salary is, 555.6
b) Total amount spent on his parent is, 111.1
Given that;
Mr. Ade plans to spend his monthly salary as follows
food-20%
children-25%
parents-20%
car-10%
entertainment-10%
saving-2½
miscellenceous-2½
And, the amount of saving kept for saving is Ghc 250.00.
Hence, We get;
Monthly salary is,
Since, We have;
Percent of savings = 100% - 20% - 10% - 10% - 12.5% - 2.5%
= 45%
Hence, We get;
45% of salary = 250
45/100 x salary = 250
Monthly salary = 25000 / 45
Monthly salary = 555.6
And, Money spent on parents;
20% of 555.6
20/100 x 555.6
111.1
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Question 4 of 10
Does this table represent a function? Why or why not?
X
2
3
4
5
5
y
1
4
4
2
5
OA. Yes, because there is the same number of x-values as y-values.
OB. Yes, because every x-value corresponds to exactly one y-value.
C. No, because one x-value corresponds to two different y-values.
OD. No, because two of the y-values are the same.
Does this table represent a function: C. No, because one x-value corresponds to two different y-values.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, all functions are used in mathematics to uniquely map an input variable (domain or independent values) to an output variable (range or dependent values).
Based on the table shown above, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values);
3 → 4
4 → 4
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can someone help me pls!!!! Imma give u brainliest
Answer:
sin0= 9/15
cos0= 12/15
tan0 = 9/12
Write an expression for the apparent nth term an of the sequence. (Assume that n begins with 1.) 4, 5/3, 6/5, 1, 8/9
The nth term of the sequence as: an = { 4 (n - 1) if n is odd
1 if n is even and n ≠ 4 8/2n when n = 4
What is arithmetic progression and its formula ?
An arithmetic progression is a list of numbers where each term is obtained by adding a specific number to the previous term, except for the first term. The following formulas help solve arithmetic progression problems: AP common difference: d = an - an-1. AP nth term: an = a (n -1)d
Sum of n terms of AP: Sn = n/2 (2a (n - 1)d)
The given sequence is 4, 5/3, 6/5, 1, 8/9.
To find the expression for the nth term, we must observe the pattern of the sequence. We see that the numerators of the series fractions increase by 1 for each term, while the denominators increase by 2 for each term except the fourth term, which is 1. Therefore, we can write the nth term of the sequence as:
an = { 4 (n - 1) if n is odd
1 if n is even and n ≠ 4
8/2n when n = 4
where n is a positive integer representing the position of the term in the sequence.
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