Step-by-step explanation:
\(w = - \frac{5}{9} \)
\(x = \frac{4}{3} \)
\( \: \)
\( = w + ( - x) + \frac{2}{3} \)
\( = - \frac{5}{9} + ( - \frac{4}{3} ) + \frac{2}{3} \)
\( = - \frac{5}{9} - \frac{4}{3} + \frac{2}{3} \)
\( = - \frac{5}{9} - \frac{2}{3} \)
\( = - \frac{5}{9} - \frac{6}{9} \)
\( = - \frac{11}{9} \)
Choose all distances that are equivalent to 1/2 mile.
A. 804.5 meters
B. 845 meters
C. 880 yards
D. 3,520 yards
E. 2,640 feet
F. 10,560 feet
need answers asap in test
Answer:
A, C, and E.
Step-by-step explanation:
I looked up what half a mile was in meters, yards, and feet, and it told me these were the right answers.
The equivalent to 1/2 mile:
A. 804.5 meters
C. 880 yards
E. 2,640 feet
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
To convert 1/2 mile to other units of distance:
1/2 mile = 0.5 mile
A. 804.5 meters ≈ 0.5 miles
(1 mile ≈ 1609 meters, so 0.5 miles ≈ 804.5 meters)
B. 845 meters ≈ 0.524 miles (1 mile ≈ 1609 meters, so 845 meters ≈ 0.524 miles)
C. 880 yards ≈ 0.5 mile (1 mile = 1760 yards, so 0.5 mile = 880 yards)
D. 3,520 yards ≈ 2 miles (1 mile = 1760 yards, so 2 miles = 3520 yards)
E. 2,640 feet ≈ 0.5 mile (1 mile = 5280 feet, so 0.5 mile = 2640 feet)
F. 10,560 feet ≈ 2 miles (1 mile = 5280 feet, so 2 miles = 10560 feet)
Therefore, the distances that are equivalent to 1/2 mile are A, C, E.
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exponential function question
Answer: \(y = 850(0.943)^t\)
Reason:
The exponential of the form \(y = a*b^x\) has 'a' as the initial term and b as the growth or decay factor.
a = 850 is the starting amount
b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor
If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.
if 18 is an even number, then it is divisible by 2. and if 18 is divisible by 2, then it is a rational number. therefore, if 18 is an even number, then it is a rational number.
Yes, that is a valid logical argument: if 18 is an even number, then it is a rational number because all even numbers are divisible by 2 and all numbers divisible by 2 are rational.
Yes, that is a valid logical argument.
An even number is defined as a number that is divisible by 2.
18 is an even number because it is divisible by 2.
A rational number is defined as any number that can be expressed as the quotient or fraction p/q of two integers, where q is not equal to zero.
Since 18 is divisible by 2, it can be expressed as the quotient 18/2, which simplifies to 9, where both 18 and 2 are integers.
Therefore, 18 is a rational number.
Thus, based on the definitions of even numbers and rational numbers, we can conclude that if 18 is an even number, then it is a rational number.
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The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 82° is changed to 94°, which of the following measures changes the most and what is the new value?
IQR 34°
Range 48°
Mean 81.4°
Median 84°
We can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Before the change, the measures are:
IQR = 105 - 61 = 44°
Range = 105 - 57 = 48°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.4°
Median = the middle value, which is 84°
After the change, the list becomes:
58, 61, 71, 77, 91, 100, 105, 102, 95, 94, 66, 57
IQR = 102 - 61 = 41°
Range = 105 - 57 = 48°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 94 + 66 + 57) / 12 = 82.3°
Median = the middle value, which is still 84°
Hence, we can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°
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Answer:
(d) Median 84°
Step-by-step explanation:
You want to know the effect on various statistics of changing the value 82 to 94 in the data ...
{57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105}
Measures of variationChanging a middle value in the list will have no effect on either the range or the IQR.
Measures of centerChanging a value from 82 to 94 adds 12 to the total of the 12 data values. This will increase the mean by 12/12 = 1 degrees to about 81.4.
The median value is currently the average of 77 and 82. Replacing 82 with 94, changes the order so that the median will be the average of 77 and 91. That is the median will increase by 9/2 = 4.5 degrees.
The measure that changes the most is the median. Its new value is 84°, choice D.
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Tables (2)
Students (y)
In a classroom, the students are set up in the
arrangement shown in the table.
How many students are sitting at the 4 tables?
4
?
7
35
Answer:
20 is the answer hope it helps
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
just took the test
Solve each system by elimination.
10x-6y=-8
-10x+6y=8
Answer:
Infinitely Many Solutions
Step-by-step explanation:
\(10x-6y=-8\\-10x+6y=8\\\0 = 0\\\)
Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left
A nursery manager is buying fencing to enclose three sides of a garden,
with two short sides and one long side. The garden is a rectangle with sides 2x and 3x, where is feet. The area of the garden is 3000 square feet. The manager can buy fencing in whole feet only. How many feet of fencing should he buy?
Enter the correct number of feet in the box.
The number of feet required for the fencing is 157 feet.
What is a rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.
We have,
Rectangle with sides 2x and 3x.
So we can assume,
Length = 2x and Width = 3x
Area = 3000 square feet
Length x Width = 3000
(2x) x (3x) = 3000
6x² = 3000
x² = 500
x = 10√5
Now,
The sides of the rectangle are:
2x = 2 x 10√5 = 20√5
3x = 3 x 10√5 = 30√5
Since,
3x is the longer side so we can take one 30√5.
2x is the shorter side so we can take two 20√5.
The total feet of fencing required is:
= 30√5 + 205√5 + 20√5
= 70√5
Since we can take only whole feet.
= 70 x 2.23
= 156.52
= 157
Thus the number of feet required for the fencing is 157 feet.
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The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)? (1 point) a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero (−4, 0), (0, −28), (7, 0) (−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0) (x, x2 − 3x − 28) for all real numbers (x, y) for all real numbers
Function graphs are graphs of solution equations for y! In this instance, f(x) = x² - 3x - 28; for all real numbers is the graph.
Constructing a Function Graph:\({\rightarrow\text{f(x)} = \text{x}^2 - 3\text{x} - 28}\)
A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f.The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.Solving equation:
\({\rightarrow\bold{f(x) = x^2 - 3x - 28}\)
\(\rightarrow \bold{f(x) = x^2 - (7-4)x - 28}\)
\(\rightarrow\bold{f(x) = x^2 - 7x+4x - 28}\)
\(\rightarrow\bold{f(x) = x(x-7) +4(x -7)}\)
\(\rightarrow\bold{f(x) = (x -7) (x+4)}\)
Please see the attached file below.
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Need help. I can’t fail this!! 3
Answer:
it's A
Step-by-step explanation:
find the value of x
Answer:
x=65
Step-by-step explanation:
All triangles angles =180, so you have to add up 56 and 59, to get 115, and then subtract 115 from 180 to find the last angle.
I hope this helps!!!
Answer:
21
Step-by-step explanation:
suppose that yi = β0 β1xi ϵi . assume that e[ϵi ] = 0 and that var(ϵi) = |xi |σ 2 , i.e., we violate the constant variance assumption in linear model
In summary, when the constant variance assumption is violated, we can still fit a weighted regression model and estimate the coefficients, but we need to use different methods to obtain reliable standard errors.
If we violate the constant variance assumption in a linear model, the model is no longer a linear regression model. It is known as a weighted regression model, where each observation has a different variance.
In this case, the variance of ϵi is proportional to |xi|. Thus, we can consider a weighted regression model with weights wi = 1/|xi| and response variable yi/|xi|. Then, the model can be written as:
yi = β0/|xi| + β1xi + ei
where ei = ϵi/|xi| and var(ei) = \(σ^2.\)
We can apply the usual linear regression methods to estimate β0 and β1, but the standard errors of the estimated coefficients will be different from those obtained from a linear regression model with constant variance. The standard errors can be estimated using heteroscedasticity-consistent standard errors or White's estimator.
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Fathers age is twice his daughter age but 16 years ago fathers age was 4 times his daughters age . Calculate their ages
Answer:
Father's age = 48
Daughter's age = 24
Step-by-step explanation:
Let x be father's age and y be daughter's age.
1st equation:
x = 2y
2nd equation:
(x - 16) = 4(y - 16)
Replacing value of x from 1st equation,
(2y - 16) = 4(y - 16)
2y - 16 = 4y - 64
4y - 2y = 64 - 16
2y = 48
y = 48/2
y = 24
And,
x = 2y
x = 2 x 24
x = 48
8x - x = 64 - 16
7x = 48
TT uses 5 cups of grand Zucchini to make 2 loaves of Zucchini bread.how many cups of Zucchini does she need to make 1 loaf
Answer: 2.5 cups of grand zucchini.
Step-by-step explanation: When you add 2.5 to 2.5, that creates 5, just like 2 loaves of zucchini bread is mad with 5 cups of grand zucchini.
Perform the indicated operations and simplify the expression.
9x² - (x²+8-x(x-(7x-8)])+7
The simplified expression is 2x² + 8x - 1.
Let's simplify the expression step by step:
9x² - (x²+8-x(x-(7x-8)])+7
First, let's simplify the innermost parentheses:
(x-(7x-8)) = x - 7x + 8 = -6x + 8
Now, let's substitute this simplified expression back into the original expression:
9x² - (x²+8-x(-6x+8))+7
Next, distribute the negative sign to all terms inside the parentheses:
9x² - (x²+8+6x²-8x) + 7
Combine like terms inside the parentheses:
9x² - (7x² - 8x + 8) + 7
Remove the parentheses and distribute the negative sign to all terms inside:
9x² - 7x² + 8x - 8 + 7
Combine like terms:
(9x² - 7x²) + (8x - 8) + 7
Simplify further:
2x² + 8x - 1
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5. Convert in to mixed fractions
(a)
18
5
Answer:
3⅗
Step-by-step explanation:
5×3 =15
18 - 15 = 3
therefore
18÷5
is
3⅗
Convert in to mixed fractions 18 and 5
Answer↓3 with a reminder of 3Explain↓Multiply the newest quotient digit (3) by the divisor 5 . Subtract 15 from 18 . The result of division of 185 is 3 with a remainder of 3 .
Hopefully help:)
#CarryOnLearningUse Theorem 9.11 to determine the convergence or divergence of the p-series. 1 8 2 27 3 64 4 125 5 O converges O diverges Need Help? Read t Lvlstchut LTalk to a Tutor Submit Answer save Progress Practice Another Version
Theorem 9.11 states that the p-series ∑_(n=1)^∞ 1/n converges if p > 1 and diverges if p ≤ 1.
In the given series, we can see that each term is of the form n^3, which can be written as (n^p)^3 where p=1/3.
Since p=1/3 is less than or equal to 1, we can conclude that the series diverges by applying Theorem 9.11.
Therefore, the given series diverges.
Using Theorem 9.11, we can determine the convergence or divergence of the given p-series. This theorem states that a p-series ∑_(n=1)^∞ 1/n^p converges if p > 1 and diverges if p ≤ 1.
If you meant to write the series as 1/8 + 2/27 + 3/64 + 4/125 + ... (with terms of the form n/n^3), then it is a p-series with p = 3 > 1. In this case, according to Theorem 9.11, the series converges.
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anna has been adding $30 to her savings account every month. which model could represent the money in anna’s savings account (y) after x months? responses a aa b bb c cc d d
The correct model that represents the money in Anna's savings account (y) after x months, given that she adds $30 every month, is option d) y = 30x.
In this model, the variable x represents the number of months, and the variable y represents the amount of money in Anna's savings account. The equation y = 30x indicates that for each month (x), Anna adds $30 to her savings.
This linear equation represents a direct relationship between the number of months and the total savings accumulated. For example, after 1 month, Anna will have $30 in her account (30 × 1). After 2 months, she will have $60 (30 × 2), and so on.
Option d) is the most appropriate choice because it reflects Anna's consistent monthly deposit of $30 and provides a simple and straightforward representation of her savings growth over time.
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A car park space needs 8 square metres for 1 car. just considering the spaces for parking, what dimensions for a car park would be needed for 60 cars
The dimensions of a car park for 60 cars is: 480 m^2
To solve this exercise we have to do a mathematical operations of multiplication with the given information.
Information about the problem:
car park space = 8 m^2/cardimensions for a car park (60 cars) = ?To know the dimensions for the car park of 60 cars we have to do the following multiplication:
dimensions for a car park (60 cars) = car park space * 60 cars
dimensions for a car park (60 cars) = 8 m^2/car * 60 cars
dimensions for a car park (60 cars) = 480 m^2
What is multiplication?It is a mathematical operation that consists of adding the same number, called the multiplicand, as many times as indicated by another number, called the multiplier. The result is called the product.
Example: 2+2+2= 6 is equal to say 2*3= 6
Multiplied * multiplier = product
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The probability of flipping a heads on an unfair coin is 0.40. If the coin is tossed 500 times, approximately how many times will the coin come up tails?
Answer:
200 times
Step-by-step explanation:
What is the pascal’s theory?
PLEASE GIVE ME BRAINLIEST!
i hope this helps. thank you and have a good day :)
Answer:
a principle in fluid mechanics that states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.
Step-by-step explanation:
pressure applied to a fluid is transmitted equally throughout the fluid in all directions. This is named after the French mathematician and physicist Blaise Pascal, who first formulated it in the mid-17th century.
what is the solution of the system of equation? y=2x-3 , 4x-3y=31
Answer:
Use Substitution.
Plug in 2x-3 in place of y in the second equation.
4x - 3(2x-3) = 31
4x - 6x + 9 =31
-9 -9
-----------------------
-2x=22 so x=-11
Then, y=2(-11)-3, so y=-25
So the solution would be (-11,-25).
Step-by-step explanation:
is the variable alone?
No
what is it attached to?
you always do adding or subtracting first so it is attached to 3
How is it attached?
by subtraction
what is the inverse operation?
it is addition
then all you do is the same thing but with multiplication or division
Hi!
We can solve this using the substitution method.
Given:
\(y=2x-3\\4x-3y=31\)
Using the first question, we know that \(y\) is equal to \(2x-3\), so we can simply plug that value in to the second equation, like so:
\(4x-3(2x-3)=31\)
Now, we can algebraically solve this for \(y\)
\(4x-3(2x-3)=31\)
Distribute.
\(4x-6x+9=31\)
Add like terms.
\(-2x+9=31\)
Subtract \(9\) from both sides.
\(-2x=22\)
Divide both sides by \(-2\)
\(x=-11\)
Now plug in that value to the first equation:
\(y=2(-11)-3\)
Multiply.
\(y=-22-3\)
Subtract.
\(y=-25\)
The solution is (-11, -25)
a random sample of 20 items is selected from a population. when computing a confidence interval for the population mean, what number of degrees of freedom should be used to determine the appropriate t-value? multiple choice 20 19 21 25
The degrees of freedom for the following random sample is 19.
The quantity of values that can change in a statistic's final calculation is referred to as the number of freedom levels in statistics.
The estimation of statistical parameters can be done using many types of data or information. The number of independent data points needed to estimate a parameter is referred to as having two degrees of freedom.
The amount of flexibility in an estimate is typically defined as the number of distinct scores utilized in the estimate, minus the number of characteristics used as intermediate steps in the estimation of the parameter itself.
Now degrees of freedom is calculated for the confidence level by reducing the sample size by 1.
Hence sample size =20
Degrees of freedom = 20 -1 = 19
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each side of a square is increasing at a rate of 7 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 64 cm2?
If each side of a square is increasing at a rate of 7 cm/s, then the rate of increasing the area of the the square when the area of the square is 64 cm square is 112 centimeter square per second
The rate of change of length with respect to the time = 7 cm per second
That is
dl / dt = 7 cm per second
The area of the square = l^2
Where l is the length of the square
The rate of change area with respect to the time is
dA / dt = 2l dl/dt
The area is given that 64 centimeter square and the side will be 8 cm
Substitute the values in the equation
dA / dt = 2 × 8 × 7
= 112 centimeter square per second
Therefore, the rate of increasing the area is 112 centimeter square per second
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46. 3 Divided 1. 5 I can't find the answer on this question
Answer:
30.8666666666666...(repeating 6)
Step-by-step explanation:
46.3/1.5=30.8666666666....
Write a recursive rule an explicit rule for each arithmertic sequence. 67 ,37 ,7, -23, -53
The recursive rule an explicit rule for each arithmetic sequence. 67 ,37 ,7, -23, -53 is
Un =a1 + (n - 1) dHow to find the recursive ruleThe formula for arithmetic sequence is given by
Un = a1 + (n - 1) d
where a1 = first term
d = common difference
n = number of term
a = 67
d = second term - first term
= 37 - 67
= -30
third term
= 67 + (3 - 1) -30
= 67 + 2 * -30
= 67 - 60
= 7
4th term
= 67 + (4 - 1) -30
= 67 + 3 * -30
= 67 - 90
= -23
5th term
= 67 + (5 - 1) -30
= 67 + 4 * -30
= 67 - 120
= -53
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Question 1 (2 marks) Anya achieved 15 out of 22 for her English test and 40 out of 57 for her Science test. If both subjects were equally difficult, in which did she do better?
Anya do best in Science test.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Anya achieved 15 out of 22 for her English test and 40 out of 57 for her Science test.
Since, both subjects were equally difficult.
Hence, We can find the percentage of above score as;
For English test, score is,
⇒ 15/22 × 100
⇒ 0.6818 x 100
⇒ 68.2%
And, For Science test, score is,
⇒ 40/57 × 100
⇒ 0.7017 x 100
⇒ 70.1%
Hence, Anya do best in Science test.
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? a retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. the retailer eventually began to purchase supplies from other vendors who offered better prices. the original supplier filed a lawsuit claiming violation of the agreement. in defense, the retailer had an audit performed on a random sample of 25 invoices. for each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. the percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded.26 for example, a data value of 38 means that the price would be lower with a different supplier for 38% of the items on the invoice. a histogram and some computer output for these data are shown below. explain why we should not carry out a one-sample t test in this setting
A one-sample t-test should not be carried out in this setting because the data is in the form of a frequency distribution and is not continuous, and the distribution is not normal.
In statistics, a one-sample t-test is used to determine whether a sample mean is significantly different from a known population mean. However, in this scenario, the data collected and analyzed is in the form of a frequency distribution, where the percent of purchases for which an alternative supplier offered a lower price was recorded.
A frequency distribution shows the number of times a particular value or range of values occurs in a dataset. In this case, the frequency distribution shows the number of invoices that had a certain percentage of purchases for which an alternative supplier offered a lower price. This type of data is not suitable for a one-sample t-test because a t-test requires continuous data, which is not the case here.
Furthermore, a one-sample t-test assumes that the data is normally distributed. A histogram of the data in this scenario shows that the distribution is not symmetrical and does not resemble a normal distribution. Therefore, carrying out a t-test would not be appropriate.
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Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).
Step-by-step explanation:
Answer:
I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.
Have fun!
Use the graph and table below to determine the correct answer to the question below.
What is the Average rate of change over the interval [-2,1]?
A. 1
B.-1
C. 3
D.-3