Answer:
3 and 8
Step-by-step explanation:
3 and 8 are the only numbers that have a variable, or the letter beside it
The beginning mean wage in a certain Industry is $70,480.00. If the mean wage grows by 4.125%, what is the new mean wage? (2 points)
O $67,572.70
O $73,387.30
O $75,567.98
O $77,456.90
The new wage is $73,387.30
What is a percentage?
A percentage can be defined as a ratio or number expressed as a fraction of hundred ( 100).
From the information given, we have;
Initial mean wage is $70,480.00The wage grows by 4.125%To determine the new age, we need to multiply the initial mean wage by the percentage of increase, we have;
= $70,480.00 × 4. 125 / 100
Multiply through
= $ 290, 730/ 100
= $ 2, 907. 3
The new wage = $70,480.00 + $ 2, 907. 3
The new wage = $73,387.30
Thus, the new wage is $73,387.30
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Write the solution set of the equation x2 – 4=0 in roster form
Answer:
Step-by-step explanation:
x²-4=0
(x+2)(x-2)=0
x=-2,2
solution is x∈{-2,2}
Solve and show the answer in simplest terms 2 over 5 + 1 over 3
Answer:
11/15
Step-by-step explanation:
2/5+1/3
Find a common denominator-15. The fractions with the common denominator are 6/15 and 5/15. They make 11/15. 11/15 is in its simplest form.
VP is a median of triangle PRQ. If segment QR is 8.5 inches, find the length of segment VR.
Don't forget your units!
please help if you can thanks!
Answer:
is this all what u where given
. How long is 50% of 30 minutes?
Answer:
The answer is 15 minutes
Step-by-step explanation:
Hope this helps :)
have a nice day and could i have brainliest plz? :)
Answer:
30 mins = 100%
50%= 30/50*100
= 15 mins
Therefore 50% of 30 mins is 15%
Hope it helps!
in isosceles triangle ABC,AB=AC.If B=55,calculate A
The measure of angle A in the isosceles triangle ABC is 62.5 degrees.
In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).
Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.
Therefore, we have:
∠A ≅ ∠C
Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:
∠A + ∠B + ∠C = 180
Substituting the given values:
∠A + 55 + ∠A = 180
Combining like terms:
2∠A + 55 = 180
Subtracting 55 from both sides:
2∠A = 180 - 55
2∠A = 125
Dividing by 2:
∠A = 125 / 2
∠A = 62.5
Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.
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describe how changing one score influences the mean and standard deviation. changing one score changes the mean, but the standard deviation remains unchanged. changing one score changes both the mean and the standard deviation. changing one score does not change the mean, but the standard deviation changes.
In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.
Changing one score can have an impact on both the mean and the standard deviation of a set of data. The mean is the average of all the scores, so if one score changes, it can affect the overall mean. The standard deviation, on the other hand, measures the deviation of each score from the mean. If one score changes, it can also affect the standard deviation, as the deviation of that score from the mean will be different.
For example, let's say we have a set of scores: 2, 4, 6, 8, 10. The mean of these scores is 6, and the standard deviation is 2.86. If we change the score of 2 to a 12, the new set of scores will be 12, 4, 6, 8, 10. The new mean will be 8, and the new standard deviation will be 2.94. As you can see, changing one score influenced both the mean and the standard deviation.
In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.
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Which number is equal to four and one-sixth?
four and sixteen hundredths with the six repeating
six twenty-fifths
4.2
416%
Answer:
4.2
Step-by-step explanation:
Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.
Using complete sentences, explain how to find the quotient of 83 +1. Make sure to include the quotient in your
answer
Answer:
THE QUOTIENT IS 84 BECAUSE 83 +1 =84.
Step-by-step explanation:
suppose that f(x)=x^2 and g(x) = -2/3x^2 which statement best compares that graph of g(x) with the graph of f(x)?
Answer:
\( f(x) = x^2 , g(x)= -\frac{2}{3}x^2\)
And we want to compare the two functions.
The minus signs is a reflection around the x axis and the value of 2/3 is a compression of the original function so then the best answer would be:
The graph of g(x) is the graph of f(x) compressed vertically and reflected over the x axis
Step-by-step explanation:
We have the following two function given:
\( f(x) = x^2 , g(x)= -\frac{2}{3}x^2\)
And we want to compare the two functions.
The minus signs is a reflection around the x axis and the value of 2/3 is a compression of the original function so then the best answer would be:
d) The graph of g(x) is the graph of f(x) compressed vertically and reflected over the x axis
Answer:
C is the correct answer
Step-by-step explanation:
complement of 72°. pls help
Answer:
5453 ok! it's write answer
9) Sam had 7 days to complete 150 math problems. He had 5 hours a day to work on these
problems. What is the minimum number of problems he needs to complete per hour?
Answer:
5 problems an hour
Step-by-step explanation:
7 days x 5 hours = 35 total hours
150 problems ÷ 35 hours = 4.3 problems an hours,
which would then be rounded up to 5.
If c varies directly as l and inversely as a, then which of the equations describe the relation among the three variables c, l and a?
A. c = k/al
B. c = kl/a
C. 1/c = ka/l
D. c = ka/l
If c varies directly as l and inversely as a, then which of the equations describe the relationship among the three variables c, l and a is \(\rm c = k \dfrac{l}{a}\).
Given ;
c varies directly as l and inversely as a.
The following steps can be used to determine the equation that describes the relationship among the three variables c, l, and a:
Step 1 - According to the given data, 'c' is directly varying as 'l'.
\(\rm c\; \alpha \; l\)
Step 2 - Also given in the data that 'c' is inversely varying with 'a'.
\(\rm c \; \alpha \; \dfrac{1}{a}\)
Step 3 - Combine the expression obtained in steps 1 and 2, that is:
\(\rm c\;\alpha \; \dfrac{l}{a}\)
Step 4 - The mathematical expression of the above conclusion is given by:
\(\rm c = k \dfrac{l}{a}\)
where k is the proportionality constant.
So, the correct option is B).
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which table represents the graph below
Answer: what table and what graph?
Step-by-step explanation:
Henry is building an in-ground pool at his house. He is doing most of the work himself to save money. To dig the pool, he rents a small backhoe for $95.50 a day. If his total bill comes to $286.50, for how many days does he rent the backhoe?
To dig the pool, he rents a small backhoe for $95.50 a day. If his total bill comes to $286.50, for 3 days does he rent the backhoe.
What is backhoe?
A backhoe, also known as a rear actor or back actor, is a type of digging apparatus, often known as a digger, that has a digging bucket attached to the end of a two-part articulated arm. Usually, it is attached to the rear of a tractor or front loader, the latter of which is known as a "backhoe loader."
$286.50/$95.50= 3
Henry is building an in-ground pool at his house. He is doing most of the work himself to save money. To dig the pool, he rents a small backhoe for $95.50 a day. If his total bill comes to $286.50, for 3 days does he rent the backhoe.
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b) One of the cars is considered a 'collector's classic', so it's age doesn't affect it's price as much. Write down the coordinates of the cross that you think represents this car on the graph.
Answer:
Step-by-step explanation:
a.
moderate or week negative correlation
b.
(8, 8200) are the approximate coordinates of the collector's classic
Step-by-step explanation:
much. Write down the coordinates of the cross that you think represents this car on the graph
The sum of the speeds of two trains is 724.3 miles per hour. If the speed of the first train is 11.7 mph faster than that of the second train, find the speeds of each.
Answer:
A=368 miles
B= 356.3 miles
Step-by-step explanation:
Given data
Let the two trains be A and B
A+B=724.3----------1
A-B=11.7--------------2
From eqn 1
A= 724.3-B
put this in place of A in eqn 2
724.3-B-B= 11.7
724.3-2B= 11.7
724.3-11.7= 2B
712.6=2B
B= 712.6/2
B= 356.3 miles
Put B=356.3 in eqn 1
A+356.3=724.3----------1
A= 724.3-356.3
A=368 miles
Can someone help on this please? Thank youu;)
Slope-Intercept Form: The slope-intercept form of a linear equation is given by y = mx + b, where 'm' represents the slope of the line and 'b' represents the y-intercept (the point where the line intersects the y-axis).
This form is convenient for quickly identifying the slope and y-intercept of a line by inspecting the equation.
Point-Slope Form: The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and 'm' represents the slope.
This form is useful when we have a specific point on the line and its slope, allowing us to write the equation directly without needing to determine the y-intercept.
Standard Form: The standard form of a linear equation is given by Ax + By = C, where 'A', 'B', and 'C' are constants, and 'A' and 'B' are not both zero.
This form represents a linear equation in a standard, generalized format.
It allows for easy comparison and manipulation of linear equations, and it is commonly used when solving systems of linear equations or when dealing with equations involving multiple variables.
These three forms provide different ways of representing a linear equation, each with its own advantages and applications. It is important to be familiar with all three forms to effectively work with linear equations in various contexts.
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The probable question may be:
Write the three forms of a linear equation for the following.
Slope-Intercept Form:
Point-Slope Form:
Standard Form:
I know the answer but i can’t seem to work my way to it ca you helpp
Answer:
divide the 12 into the 934
Step-by-step explanation:
(7x-17) find the value of x
Answer:
x = 14
Step-by-step explanation:
7x-17+7x+1 = 180
14x - 16 = 180
14x = 180+16
14x = 196
x= 196 / 14
x = 14.
The marked angles are consecutive external angles, so they add up to \(180^{\circ}\).
Therefore
\((7x-17)^{\circ}+(7x+1)^{\circ}=180^{\circ}\\(14x)^{\circ}=196^{\circ}\\x^{\circ}=14\)
Need help ASAP, Tysm :)
Answer:
16
Step-by-step explanation:
Plug in -4: \(-(-4)^{2}\) Simplify: \(4^{2}\) \(4^{2}\) = 4 × 4 = 16I hope this helps!
You can buy 5 cans for green beans at the Village Markets for $3.70. You can buy 10 of the same cans of beans at Sam’s Club for $5.90. Which place is the better buy.
please help <33!!
The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
Unit rateVillage market:
Green beans = 5 cansTotal cost = $3.70Unit rate = Total cost / green beans
= 3.70 / 5
= $0.74 per can
Sam's club:
Green beans = 10 cansTotal cost = $5.90Unit rate = Total cost / green beans
= 5.90/10
= $0.59 per can
Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
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Find the relation between backwards finite difference and
average operator.
The backward finite difference operator and the average operator are related in that they both approximate derivatives of a function.
The backward finite difference operator is a numerical approximation technique used to estimate the derivative of a function at a specific point. It involves considering the difference between the function values at the current point and a preceding point. By dividing this difference by the step size between the two points, the backward finite difference operator provides an approximation of the derivative.
On the other hand, the average operator calculates the average value of a function over an interval. It involves dividing the integral of the function over the interval by the length of the interval. The result is a single value that represents the average behavior of the function over the given interval.
The connection between the backward finite difference operator and the average operator lies in their underlying principles. Both operators involve taking the difference or average of function values to approximate the behavior of the function. While the backward finite difference operator focuses on estimating the derivative at a single point, the average operator provides an overall summary of the function's behavior over an interval. Therefore, the backward finite difference operator can be seen as a specific case of the average operator, where the interval is reduced to a single point.
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People spend on average 80 euros per week for online shopping with variance of 6 euros. Assume the distribution is normal. The number of analysed people is set to 50 . Answer the following questions: a. What is the z-value of a person, who spends 74 euros for online shopping? Interpret the meaning of the obtained value. (4 points) b. What is the z-value of a person, who spends 84 euros for online shopping? Interpret the meaning of the obtained value. (4 points) c. Find the proportion of people who spend no more than 74 euros for online shopping. ( 2 points) d. Find the proportion of people who spend more than 84 euros for online shopping. ( 2 points) e. What is the proportion of people who spend between 74 and 84 euros ? (2 points) f. Interpret the meaning of the obtained result in question e. ( 3 points) g. Set the significance level to 5% and find the margin of error. (4 points) h. Interpret the meaning of the margin of error obtained in question g. (3 points) i. Construct a 95% confidence interval for the people's spending for online shopping. (4 points) j. Interpret the meaning of the obtained confidence interval.
We need to utilize the concept of the z-score and the properties of the normal distribution. Given that the distribution is normal and the population variance is known, we can calculate the z-score, proportions, margin of error, and confidence interval.
a. To calculate the z-value for a person who spends 74 euros, we use the formula: z = (x - μ) / σ where x is the value, μ is the mean, and σ is the standard deviation. z = (74 - 80) / √6 ≈ -2.45 The z-value of -2.45 indicates that the person's spending of 74 euros is approximately 2.45 standard deviations below the mean. It suggests that the person's spending is relatively low compared to the average.
b. To calculate the z-value for a person who spends 84 euros, we use the same formula:
z = (84 - 80) / √6 ≈ 1.63
The z-value of 1.63 indicates that the person's spending of 84 euros is approximately 1.63 standard deviations above the mean. It suggests that the person's spending is relatively high compared to the average.
c. To find the proportion of people who spend no more than 74 euros, we calculate the cumulative probability using the z-score:
P(X ≤ 74) = P(Z ≤ -2.45)
Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.45) ≈ 0.0071
Therefore, approximately 0.71% of people spend no more than 74 euros for online shopping.
d. To find the proportion of people who spend more than 84 euros, we calculate the complementary probability:
P(X > 84) = 1 - P(X ≤ 84) = 1 - P(Z ≤ 1.63)
Using a standard normal distribution table or calculator, we find that P(Z ≤ 1.63) ≈ 0.9474
Therefore, approximately 5.26% of people spend more than 84 euros for online shopping.
e. To find the proportion of people who spend between 74 and 84 euros, we calculate the difference between cumulative probabilities:
P(74 < X < 84) = P(X ≤ 84) - P(X ≤ 74)
P(74 < X < 84) = P(Z ≤ 1.63) - P(Z ≤ -2.45)
Using a standard normal distribution table or calculator, we find that P(Z ≤ 1.63) ≈ 0.9474 and P(Z ≤ -2.45) ≈ 0.0071
P(74 < X < 84) ≈ 0.9474 - 0.0071 ≈ 0.9403
Therefore, approximately 94.03% of people spend between 74 and 84 euros for online shopping.
f. The obtained result in question e means that approximately 94.03% of people fall within the range of 74 to 84 euros for online shopping.
g. To find the margin of error at a 5% significance level, we use the formula:
Margin of Error = z * (σ / √n)
Since the sample size is not provided, we assume it to be the same as the number of analyzed people, which is 50.
Margin of Error = z * (σ / √n) = z * (
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To paint a house, a company charges a flat rate of $500 for supplies, plus $50 for each hour of labour. How much would the painting company charge paint a house that needs 20 hours of labour? A house that requires 50 hours? 20 hours: $ Question B1 of 2 type your answer... 50 hours: $ Question Blank 2 of 2
Answer:
$1500
$3000
Step-by-step explanation:
let x = # of hours
$500 + ($50/hr)(20 hr) = $1500
$500 + ($50/hr)($50 hr) = $3000
Here are two points from line AB: A (9,-2) B(1, 14) Here are two points from line CD: C (6.-10) D (8,-14) Are these lines parallel, perpendicular or neither?
Step-by-step explanation:
slope of AB = y2 -y1/x2 -x1 =14 -(-2)/1-9
= 14 +2 /1 -9
= 16/-8
= -2
slope of CD = -14 -(-10)/8 -6 = -14 +10 /2
-4/2 = -2
since slope of AB = CD
(The lines are parallel to each other)
Write the equation for the following graph.
Answer:
y = -4
Step-by-step explanation:
the slope is 0 since the line is horizontal , so its not A or B. and its not D because the line is on (0, -4)
You can tell by looking at a graph that if it is a horizontal line, y = the y-value of the line. To provide context:
Take any two points on the line, let's say x = 1 and x = 2. We'll use this for slope. Let's also take the y-value of these points.
\(m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{(-4)-(-4)}{2-1} \\m = \frac{-4+4}{2-1}\\m = \frac{0}{1}\\m = 0\)
Let's take x = 0 (the y-intercept). It's shown on the graph to equal -4.
So:
m = 0, b = -4
y = mx + b
y = 0x - 4
y = -4
You are given the equation 13 = 2x + 5 with no solution set.
Part A: Determine two values that make the equation false. (10 points)
Part B: Explain why your integer solutions are false. Show all work. (10 points)
5.
Lacy is going to bake a cake she needs to measure 6 cups of flour,
but the only has a measuring cup that measures 2/3 of a cup. How
many times should she fill the measuring cup up to get 6 cups of
rower? -- YOU MUST SHOW WORK EVEN OM MULTIPLE CHOICE!!
A # 1/3 uma:
B
Answer:
8
Step-by-step explanation:
2/3 x2= 1.5
1.5 x4= 6
2x4=8
Which choice is equivalent to
6
(
y
−
3
)
+
2
y
−
2
6(y−3)+2y−2
8
y
−
5
8y−5
4
y
−
20
4y−20
8
y
−
16
8y−16
8
y
−
20
8y−20
Answer: it’s 8y-20
Step-by-step explanation: