Answer:
2a) The standard error is given by:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
= sqrt[(5.10^2/16) + (5.23^2/16)]
= 2.32
2b) The test statistic is given by:
t = (x1 - x2) / SE
= (45.13 - 48.69) / 2.32
= -1.53
2c) The p-value for a two-tailed test with alpha = 0.05 and degrees of freedom = 30 (n1 + n2 - 2) is 0.1384.
2d) Since the p-value (0.1384) is greater than the level of significance (0.05), we fail to reject the null hypothesis that there is no difference in the cost of high end red and white wines. Therefore, we cannot conclude that there is a significant difference in the cost of high end wines.
Clare analyzes oil prices in her economics class. She finds that the mean oil price between 1988 and 2002 is $27 per barrel with a standard deviation of $5.50 per barrel. Select the z-score for a price of $35.25 per barrel. (Select one answer)
0.67
1.5
8.25
-8.25
Answer:
Option 2: 1.5 is the correct answer.
Step-by-step explanation:
Given information is:
Mean = μ = $27
SD = σ = $5.50
A z-score simply tells us how far a selected data value from the mean is.
Z-score is denoted by z and is given by the formula:
\(z = \frac{x-mean}{SD}\)
Let x = $35.25
Putting the values of mean and SD we get,
\(z = \frac{35.25-27}{5.50}\\z = \frac{8.25}{5.50}\\z =1.5\)
The value of z-score for a price of $35.25 per barrel is 1.5
Hence,
Option 2: 1.5 is the correct answer.
find to the nearest cm the length of a shadow of a 4m flag pole when the elevation of the sun is 58°
Answer:
5cm
Step-by-step explanation:
Given
Height of the pole = 4m = opposite
Angle of elevation = 58 degrees
Required
length of shadow(hypotenuse)
Using the trig identity
Sin theta = opp/hyp
Sin 58 = 4/x
x = 4/sin58
x = 4/0.8480
x = 4.71cm
x ≈ 5cm
Hence the length of the shadow is 5cm to the nearest cm
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 421 422 422 426 426 431 434 436 438 446 447 448 452 455 463 464 (a) Construct a boxplot of the data. 0 420 430 440 450 460 O 420 430 440 450 420 430 440 450 460 O 420 430 440 450 460 Comment on any interesting features. (Select all that apply.) There is one outlier. The data appears to be centered near 438. There are no outliers. There is little or no skew. The data appears to be centered near 428. The data is strongly skewed
The boxplot shows that there are no outliers in the data, and the range of values is from approximately 415 to 464.
The box of the plot is centered around 430-440, with the median falling around 434. There is no clear skew in the data, with the distribution appearing relatively symmetrical. Therefore, the interesting features are:
. There are no outliers
. The data appears to be centered near 434.
. There is little or no skew.
Here is the boxplot for the given data:
| *
| * *
| * *
| * *
|* *
+------------
415 470
Based on the boxplot, we can see that there is one outlier (415) that falls below the minimum whisker. The median of the data appears to be centered around 432, with the interquartile range (IQR) stretching from approximately 426 to 448. There is a slight positive skew to the data, as the right tail of the boxplot is longer than the left tail. Overall, the data appears to be relatively symmetric, with no extreme skew or unusual features other than the single outlier.
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determine the slope-intercept form of the equation of the line parallel to y=-4/3x + 11 that passes through the point (-6,2
is it...
y=-4/3x+10
........................
Help me please!!
Find the measure of EG.
A.18
B.11
C.14
D.13
Answer:
d.13 the measure of eg that's the answer
Please answer my question quickly.
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.
A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.
In the given question,
The confidence level = 99%
Given width = 0.5
Standard deviation of resistance(\(\sigma\))= 1.55
We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.
The formula to find the a big sample that should the experimenter take from the population is
Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)
So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)
where n=sample size
We firstly find the value of ME and \(z_{\alpha /2}\).
Firstly finding the value of ME.
ME=Width/2
ME=0.5/2
ME=0.25
Now finding the value of \(z_{\alpha /2}\).
Te given interval is 99%=99/100=0.99
The value of \(\alpha\) =1−0.99
The value of \(\alpha\) =0.01
Then the value of \(\alpha /2\) = 0.01/2 = 0.005
From the standard table of z
\(z_{0.005}\) =2.58
Now putting in the value in formula of sample size.
n\(=(2.58\times\frac{1.55}{0.25})^2\)
Simplifying
n=(3.999/0.25)^2
n=(15.996)^2
n=255.87
n≈256
Hence, the sample that the experimenter take from the population is 256.
Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.
The new values,
Standard deviation of resistance(\(\sigma\))= 2×1.55
Standard deviation of resistance(\(\sigma\))= 3.1
width = 2×0.5
width = 1
Now the value of ME.
ME=1/2
ME=0.5
The z value is remain same.
Now putting in the value in formula of sample size.
n\(=(2.58\times\frac{3.1}{0.5})^2\)
Simplifying
n=(7.998/0.5)^2
n=(15.996)^2
n=255.87
n≈256
Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.
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15x+1=y, solve for x
Answer:
x=(y-1)/15
Step-by-step explanation:
15x + 1 = y
15x/15 = y-1/15
x= (y-1) / 15
In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.) PLZ HELP! Will mark brainliest
Answer:
There are 15 cows and 35 chickens
Step-by-step explanation:
So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.
Then you subtract 40 from 130. You get 90.
Since the cow has double the legs of the chicken, you can count the cow as two chicken.
You divide 90 by 3. You get 30.
To get the number of chicken you divide 30 by 2 and you get 15.
You add 15 and 20 together and you get 35 chickens.
To get the number of cows you divide 30 by 2 and you get 15.
So you have your answer. 35 chicken and 15 cows.
A pet store has a male and female huskies with blue, green, and amber eyes
Answer:
6 unique types of huskies
Step-by-step explanation:
Considering the ratio of all these combinations are equal the total amount of huskies will be:
M = Male, F = Female, B = Blue, G = Green, A = Amber
(MB, MG, MA, FB, FG, FA)
There are 6 possible combinations of huskies
juan owns 7 pairs of pants, 5 shirts, 6 ties, and 8 jackets. how many different outfits can he wear to school if he must wear one of each item?
Answer: I believe he could wear 768 outfits
Step-by-step explanation: I had a similar question consisting of the same numbers.
What is the square root of m? O m2 O m3 O m4 O m5
Answer:
The correct answer is: (Option B)
Explanation:
Given expression:
Take square-root of the expression:
Evaluate the resultant expression:
Hence the correct answer is option (B) .
2) Find the integral of f the given functions with respect to x a) f=2xdx b) f=2x +
exp(x 2
)dx c) f=x 4
exp(x) 4
cos(x)dx d) f=x −1
dx
The given functions and their integrals with respect to x are
a) f = 2x, Integral of f dx = x² + C (where C is the constant of integration).
b) f = 2x + exp(x²), Integral of f dx = x² + 1/2 exp(x²) + C (where C is the constant of integration).
c) f = x⁴ exp(x) cos(x), Integration by parts gives Integral of
f dx = x⁴ exp(x) sin(x) - 4x³ exp(x) sin(x) + 12x² exp(x) cos(x) - 24x exp(x) cos(x) - 24 exp(x) sin(x) + C (where C is the constant of integration).d) f = x^(-1), Integral of f dx = ln |x| + C (where C is the constant of integration).
Thus, the integrals of the given functions with respect to x are:
x² + C, x² + 1/2 exp(x²) + C, x⁴ exp(x) sin(x) - 4x³ exp(x) sin(x) + 12x² exp(x) cos(x) - 24x exp(x) cos(x) - 24 exp(x) sin(x) + C, and ln |x| + C, respectively.
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Find the equation of the line
Answer:
y=-¹/₃x+5
Step-by-step explanation:
y=ax+b
(0,5) (6,3)
x=0 y=5, x=6 y=3
5=a*0+b
3=a*6+b
5=b
3=6a+b
6a+5=3
6a=-2
a=-¹/₃
y=-¹/₃x+5
What is the difference between −82°F and 93°F?
A
−175°F
B
−11°F
C
11°F
D
175°F
Step-by-step explanation:
93 -(-82) = 93+82 = 175°F (option D)
Is the answer to this equation 20 ÷ 2(7+3), 1 or 100?
Answer:
its 1 bc (7+3) =10 then 2×10= 20÷20=1
Find the Circumference in the example below using the steps provided. Use 3.14 for Pi. Do not round. Be sure to label your answer.
where is the example
I can't answer the question without the example provided, but here are some steps to solve it.
Basic info-
Circumference (C)
3.14 is used for pi π= 3.14
The line halfway of the circle is the radius(r)
The line through the circle is the diameter(d)
Formulas:
C= 2πr
2 × 3.14 × the radius
OR
C= πd
3.14 × the diameter
Please solve this for me, I wanna get a decent grade
Answer:
x = 130 degrees
Step-by-step explanation:
180-110 = 70degrees
180 - 70 - 60 = 50 degrees
x = 180 - 50 = 130 degrees
Complete the statement to describe the expression (a+b+c)(d+e+f)
The expression consists of _ factors, and each factor contains _ terms.
Fill in the blanks.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that if we multiply 3 and 4, we get 12.
In other words, 3 × 4 = 12
Thus, 3 and 4 are factors of 12.
now
Given the expression
\((a+b+c)(d+e+f)\)
The given expression consists of two factors which are:
(a+b+c)(d+e+f)We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.
For example, in the expression, 4b + 2, 4b and 2 are terms.
so,
The factor (a+b+c) consists of 3 terms. These terms are a, b and c.Similarly, the factor (d+e+f) consists of 3 terms. These terms are d, e, and f.A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)
Answer:
The amount of metal recovered at the eight pass is approximately 4.27 kg
Step-by-step explanation:
The mass of metal recovered formed the following geometric sequence;
32 kg, 24 kg, 18 kg, 13.5 kg
∴ The first term, a = 32 kg
The common ratio in the geometric sequence is found as follows;
r = a·r/a = 24 kg/(32 kg) = 0.75
r = a·r²/a·r = 18 kg/(24 kg) = 0.75
r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75
The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;
nth term = a·rⁿ⁻¹
a = 32, r = 0.75, n = 8
∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27
The amount of metal recovered at the eight pass ≈ 4.27 kg.
The eight term of the geometric sequence is 4.27.
Geometric sequenceA geometric sequence is in the form:
aₙ = ar⁽ⁿ⁻¹⁾
where aₙ is the nth term, a is the first term and r is the common difference.
Given that a = 32, r = 24/32 = 0.75
The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27
The eight term of the geometric sequence is 4.27.
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La razón geométrica de dos números es 13/6 y su diferencia es 35 ¿Cuál es el número mayor?
En una fiesta la relación de hombre a mujeres es de 9 a 7. Si se cuentan 45 hombres ¿Cuántas mujeres hay?
Un traje para hombre costó $ 250. 000 el año pasado. Este año la docena de dichos trajes cuesta $ 3’250. 000 ¿cuál es la razón geométrica del precio antiguo y actual del traje?
The greater number is 455.
There are 197 women in the party.
The geometric ratio of the old and current price of the suit is 25/27.
The first problem requires the application of geometric ratios and algebraic manipulation to determine the greater of the two numbers. Geometric ratios are ratios between two quantities that are constant throughout.
We are also given that their difference is 35, which can be expressed as x - y = 35. We can use algebraic manipulation to solve for the values of x and y.
From the first equation, we can express x in terms of y as x = (13/6)y. Substituting this value of x into the second equation, we get (13/6)y - y = 35. Simplifying this equation, we get y = 210.
To find the value of x, we can substitute y = 210 into the equation x/y = 13/6, giving us x = 455. Therefore, the greater number is 455.
The second problem involves using ratios to find the number of women in a party. We are given that the ratio of men to women is 9 to 7, which can be expressed as 9x/7x, where x is a constant. We are also told that there are 45 men. We can use this information to solve for the number of women.
Therefore, the total number of parts is 45/9 = 5.
We can use this information to find the number of women, which is 7 parts of the ratio, or
=> 7x = (7/16) * 5 * 45 = 196.875.
Since we cannot have a fraction of a person, we round this value up to the nearest whole number, which is 197.
Therefore, there are 197 women in the party.
The third problem involves finding the geometric ratio of the old and current price of a men's suit. We are given that the suit cost $250,000 last year and that a dozen of these suits cost $3,250,000 this year. We can use the information provided to find the geometric ratio.
Since a dozen of the suits cost $3,250,000, one suit costs $3,250,000/12 = $270,833.33. The ratio of the old price to the new price is 250,000/270,833.33, which simplifies to 25/27.
Therefore, the geometric ratio of the old and current price of the suit is (25/27)¹ = 25/27.
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Complete Question:
The geometric ratio of two numbers is 13/6 and their difference is 35. What is the greater number?
At a party the ratio of men to women is 9 to 7. If 45 men are counted, how many women are there?
A men's suit cost $250,000 last year. This year a dozen of these suits cost $3,250. 000 What is the geometric ratio of the old and current price of the suit?
Anna’s bank gives her a loan with a stated interest rate of 10.22%. how much greater will anna’s effective interest rate be if the interest is compounded daily, rather than compounded monthly? a. 0.5389 percentage points b. 0.1373 percentage points c. 0.4926 percentage points d. 0.0463 percentage points please select the best answer from the choices provided a b c d
Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.
The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:
Viable financing cost = (1 + (expressed loan fee/n))^n - 1
where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.
Connecting the qualities, we get:
For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%
For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%
The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.
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The (S,S) model has a fixed period between part ordering? True False
The given statement, The (S,S) model has a fixed period between part ordering is True.
The (S,S) model is an inventory control method developed by Haan and Van Harten in 1985, that uses a core algorithm with two basic parameters, S and S, to automate the process of ordering new parts or products. The S parameter determines the order size, while the S parameter determines the time between order placements, and both are set directly by the planner.
The cycle of ordering and delivery remains relatively fixed, meaning that the time between new orders will remain constant once the parameters are set. As a result, the (S,S) model is highly suitable for inventory control within both production and retail environments, as the number and type of items can be effectively managed when the cycle is regularly repeated.
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NEED HELP ASAP ALGEBRA 2
Find the third side in the simplest radical form
Unit 7 polygons & quadrilaterals homework 1 angle of polygons
The angle of polygons is an important concept in geometry and can be calculated using the formula (n-2) x 180. Quadrilaterals are a specific type of polygon with four sides and four angles, and their interior angles can be found by dividing the sum of the interior angles by the number of sides.
What are the angles of polygons?The angle of polygons is an important concept in geometry. A polygon is a closed shape with three or more sides, and the angles of a polygon are the interior angles formed by the sides. Quadrilaterals are a specific type of polygon with four sides and four angles.
To find the sum of the interior angles of a polygon, you can use the formula (n-2) x 180, where n is the number of sides. For example, a quadrilateral has four sides, so the sum of its interior angles would be (4-2) x 180 = 360 degrees.
Each individual angle of a quadrilateral can be found by dividing the sum of the interior angles by the number of sides. So for a quadrilateral, each angle would be 360/4 = 90 degrees.
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rfggdgdgedrdgd
ggdgdgdgdrgdgdgd
Answer:
rrfgggefgegeegfegefegegeegfgfgfdfefdfefgdfdfdddgedgdfdgedfgfedffdddfgfdgddfddfgdfdgdf
the difference of two numbers is 4. the sum of the lesser number and half the greater number is 23. what is the product of the two numbers?
Answer: x = 18 and y = 14
The difference is 4, and half of 18 is 9 and 9 + 14 is 23
Step-by-step explanation:
Keep the 2 numbers as 2 variables
x - y = 4
x + (y/2) = 23
We can use the substitution method here
x = 4 + y
4+y + (y/2) = 23
y = 14
x = 4 + y
x = 4 + 14
x = 18
GIVING BRAINLIEST FOR CORRECT ANSWER
The answer is the second one.
The -1 is shaded in, and the arrow is pointing to the ĺeft.
A principal of $4300 is invested at 3% interest, compounded annually. How much will the investment be worth after 5 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
You would have 4945 dollars in 5 years.
Step-by-step explanation:
First we look for what 3% of 4300 is
After we find it we have 129 dollars
Every year we gain 129 dollars for 5 years
129 · 5 = 645
Now we add : 4300 + 645 = 4945 dollars after 5 years
If line segment BC is an angle bisector, the measure of angle CBF - (10x-9) degrees, and the mesaure of angle FBE - (8x+30) degrees
find the value of x
A) 15
B)19.5
C)8
D)4
Answer:
8
Step-by-step explanation:
bababooey