Answer:
1. Distributive property
2. Reflexive property
3. Multiplication property of equality
4. Transitive property of equality
5. Addition property of equality
6. Substitution property
Step-by-step explanation:
PLEASE HELPYou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
The amount for MEDICARE TAX for this pay period was $
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius of each gumball is 666 mm.
The total volume of all 4 gumballs: V=3,620 mm³
Gumball is in the shape of a Spherical so we Use the formula for the total volume of a sphere:
Volume of Sphere = (4/3)πr³
r = Radius of Sphere
Plug the given radius into the formula, r = 6mm
Volume of 1 gumball = (4/3)π * 6³
V= 288π mm³
The total volume of a single gumball will be 288π cubic millimeters.
Because you have 4 gumballs, multiply the total volume of a gumball by 4 to find the total volume for all 4 gumballs.
Volume of 4 gumballs = 4 * 288π
V= 1152π mm³
In terms of π, the total volume of the 4 gumballs is 1152π cubic millimeters.
Assuming π = 3.14, multiply 1152 and 3.14 together.
1152*3.14= 3,617.28 mm³
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Solve for X:
5x+3x=2(4x-5)-2
Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation
Step-by-step explanation:
I distributed 2(4x-5)
5x+3x=20x-10-2
Sub 3x for 20x
5x=17x-10-2
Sub -10-2
5x=17x-12
Sub 5x-17x
12x=-12
Divide
Equals -1
Sry it took me a bite
PLZ ANSWER THIS QUICK! THANK YOU!
Answer:
a) 14:56
simplest form:- 14:56
=>2:8
=>1:4
b)Total necklaces that are sold each month:-240
No. of necklaces that were sold via the shop's website:-180
No. of necklaces that were sold in a high street shop:-(240-180)=>60.
Ratio:- 180:60
simplest ratio:- 3:1.
the diameter of a circle is 12 kilometers. What is the length of a 60 degree arc?
Answer:
Step-by-step explanation:
We’ve all had those annoying cell phone calls from Heather, Daisy, or Oscar, trying to sell life insurance or an additional car warranty. First Orion, a call protection agency, recently issued a report that suggested 45% of all cell phone calls in 2019 will be spam. Suppose 500 cell phone calls are selected at random. Use the normal approximation to calculate the probability that less than 200 of cell phone calls will be spam
The problem is asking us to calculate the probability that less than 200 of 500 cell phone calls selected at random will be spam, given that First Orion estimates 45% of all cell phone calls in 2019 will be spam. To solve this problem, we can use the normal approximation to the binomial distribution.
First, we need to find the mean and standard deviation of the binomial distribution. The mean is given by:
μ = n * p
where n is the number of trials (500) and p is the probability of success (i.e., a cell phone call is spam) on a single trial (0.45):
μ = 500 * 0.45 = 225
The standard deviation is given by:
σ = sqrt(n * p * (1 - p))
σ = sqrt(500 * 0.45 * (1 - 0.45)) = 11.79
Next, we can use the normal approximation to calculate the probability that less than 200 of the 500 cell phone calls selected at random will be spam. We need to standardize the value of 200 using the mean and standard deviation of the binomial distribution:
z = (x - μ) / σ
where x is the number of successes (i.e., spam calls) we're interested in (200):
z = (200 - 225) / 11.79 = -2.12
We can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.12. This probability is approximately 0.017.
Therefore, the probability that less than 200 of the 500 cell phone calls selected at random will be spam is approximately 0.017 or 1.7%.
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45 x 78 divided by 3 plus 10 AND WHAT IS THIS GAME CALLED
Answer:
1180 and Dead by daylight
Step-by-step explanation:
Answer:
1180
Dead by Daylight
Step-by-step explanation:
lol hope it helps
I NEED HELP PLEASE !!!!!!!
Answer:
\(9^{-16}\)
Step-by-step explanation:
Whenever you are adding exponents that have the same base (in this case the base is 9), you simply add the exponents. The base will stay the same because you are just adding the exponents
\(-53 + 37=-16\)
So, your answer is \(9^{-16}\)
Hope this helps!
Enter the equation of the line in the form y = mx where m is the slope.
Can somebody please help i’ll make you brainliest
Answer:
y = 4x
Step-by-step explanation:
y = mx + b
b is the y-intercept. In this case the y-intercept is 0, so we have
y = mx
We see point (2,8) The slope is m = 8/2 = 4
y = 4x.
May I have brainliest now?
Cuanto mide el lado de un cuadrado inscrito en una circunferencia de 7cm de radio
Por lo tanto, el lado del cuadrado inscrito en una circunferencia de 7 cm de radio es aproximadamente 9.9 cm.
En un cuadrado inscrito en una circunferencia, la diagonal del cuadrado es igual al diametro de la circunferencia.
Dado que el radio de la circunferencia es de 7 cm, el diametro es el doble, es decir, 14 cm.
En un cuadrado, la diagonal es igual a la longitud del lado multiplicada por la raiz cuadrada de 2 (diagonal = lado × √2).
Queremos encontrar el lado del cuadrado, por lo que podemos despejarlo de la formula:
lado = diagonal / √2
Sustituyendo la diagonal de 14 cm en la formula, obtenemos:
lado = 14 cm / √2
≈ 9.9 cm
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An item is regularly priced at $31 . It is on sale for 65% off the regular price.
you work at a relator firm and your boss asked to pull out information about houses sold in the last week, such as price, size, age, number of rooms, etc. what type of data is this? panel (longitudinal) data time-series data cross-sectional data none of the above all of the above
This type of data is cross-sectional data.
In statistics and econometrics, cross-sectional data, or a cross-section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.
Time series data, in which the same small-scale or aggregate entity is seen multiple times in time, differs from cross-sectional data. A different kind of data called panel data (also known as longitudinal data) combines the concepts of cross-sectional and time series data and examines how the topics (firms, people, etc.) develop throughout a time series. Panel data differs from cross-sectional data that has been pooled over time.
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A=-x^2+40 which equation reveals the dimensions that will create the maximum area of the prop section
The x-coordinate of the vertex is 0. the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.
To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.
The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.
To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.
Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.
Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.
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classify each angle as right, acute, or obtuse. then use a protractor to measure the angle to the nearest degree
The angle ∠MPR is an obtuse angle, ∠RPN is a right angle and ∠NPS is an acute angle.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given the angles ∠of MPR, ∠RPN, and ∠NPS.
Now,
The right angle is the angle with 90° (perpendicular rays) so ∠RPN will be the right angle.
An angle less than 90° will be an acute angle so ∠NPS will be acute angle.
An angle greater than 90° will be an obtuse angle so ∠MPR will be an obtuse angle.
Hence "The angle ∠MPR is an obtuse angle, ∠RPN is a right angle and ∠NPS is an acute angle".
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What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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Number graph ranging from negative eight to eight on the x axis and negative eight to eight on the y axis. Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a and the line with a negative slope is labeled b.
Use the graph to state the solution for the system.
x – y = 3 (line a)
x + y = 3 (line b)
Responses
(0, 3)
(0, 3)
(3, 0)
(3, 0)
(–3, 0)
(–3, 0)
(0, –3)
(0, –3)
The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3
Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.
Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.
The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).
Let's first find the points of intersection of the line a with the x-axis and the y-axis.
To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).
To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).
Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.
To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).
To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).
Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:
Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.
Hence, the answer is (0, 3).Option B. (0, 3)
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If a given set of data has a variance of 64.58 and a sample size of 26, the the standard deviation is equivalent to
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Standard deviation = √ {(xi – x)^2 / (n-1)}
here (xi – x)^ 2 means variance and n is sample size .
so we can say
Standard deviation = √{ (variance / sample size – 1 )}
here variance is 64.58 and sample size is 26 is given.
So stand deviation = √{64.58 / (26-1)}
standard deviation =0.32144673
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the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Standard deviation = √ {(xi – x)^2 / (n-1)}
here (xi – x)^ 2 means variance and n is sample size .
so we can say
Standard deviation = √{ (variance / sample size – 1 )}
here variance is 64.58 and sample size is 26 is given.
So standard deviation = √{64.58 / (26-1)}
standard deviation = 0.32144673
Therefore, the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.
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Line parallel to y= -2 + 7
Answer:
So, equation y=7 is parallel to x-axis. A line parallel to X axis. x axis because it is the same thing as y=0x+7 or y=7, therefore y intercept is 7 and slope is 0.
Step-by-step explanation:
How many triangles exist with the given side lengths?.
Exactly one unique triangle exists with the given side lengths, option B is correct.
Here, we are given that the three sides of triangle are- 12, 15 and 18.
According to the triangle inequality theorem- “The sum of the length of any two sides of a triangle should be greater than the third side”. Let us see if this holds in this case-
(12 + 15) > 18
(15 + 18) > 12
(12 + 18) > 15
Thus, we see that the triangle inequality theorem is satisfied. So there is only one triangle possible with the sides of given lengths.
Hence, exactly one unique triangle exists with the given side lengths, option B is correct.
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Your question was incomplete. Check for full content below-
How many triangles exist with the given side lengths?
12 in, 15 in, 18 in
A) No triangle exists with the given side lengths.
B) Exactly one unique triangle exists with the given side lengths.
C) More than one triangle exists with the given side lengths.
The perimeter of a square is 100 centimeters. How many square centimeters would it take to cover the square?
Answer:
625
Step-by-step explanation:
A square has all sides that are equal.
To get perimeter the equation would be P=4 x the length of each sides.
100/4 is 25
Each side is 25 cm.
To get area you have to do length x width.
Since its a square its 25 x 25
The area would be 625
Answer:
625
Step-by-step explanation:
Ellie has 14 of a pound of cheese. She wants to eat the same amount each day for 7 days. If she has the same amount each day, how much will she eat the first day?
Answer:
2 pounds.
Step-by-step explanation:
Ellie has 14 lbs of cheese. She wants to eat the same amount for 7 days, or a week.
We would have to divide the number of pounds by the number of days that she wants to eat the same amount.
=========================================
\(\frac{\text{pounds of cheese}}{\text{number of days}} =\frac{14\text{lb.}}{7\text{ days}} = \frac{{14\text{lb.}/7}}{7\text{days}/7} }= \boxed{\frac{2\text{lb.}}{\text{1 day}}}\)
=========================================
Since Ellie would have the same amount each day, she would eat 2 lbs not for just the first day, she would have 2 lbs per day for the whole week.
=========================================
Hope this helps!
i need help with this one what is the value of the expression 10p-5/5 + 3(p-1) when p =2?
and put the steps to
Answer:
6
Step-by-step explanation:
10p-5/5 + 3(p-1) when p =2?
1)10(2)-5= 20-5= 15/5= 3
2) 3(2-1)=3(1)=3
3) 3+3=6
Jamie just installed solar panels to heat up greenhouses for plants. The panels cost $33,588.0 and will reduce her electricity bills by $1,200 per month. How long will it take her to recoup her investment in the panels if she can earn 12% interest rate, but compounded monthly on her money?
31 months
29 months
30 months
35 months
33 months
It will take Jamie 31 months to recoup her investment in the solar panels.
To calculate the time it takes to recoup the investment, we can use the formula for the number of periods needed to reach a future value with compound interest. In this case, the future value is the cost of the solar panels ($33,588.0), and the interest rate is 12% per year, compounded monthly.
We need to find the number of months it takes to reach a future value of $33,588.0 with monthly contributions of $1,200 and a monthly interest rate of 1% (12% divided by 12).
Using the formula for the number of periods (n) needed to reach a future value (FV) with monthly contributions (PMT) and monthly interest rate (r), we have:
FV = PMT * [(1 + r)ⁿ - 1] / r
$33,588.0 = $1,200 * [(1 + 0.01)ⁿ - 1] / 0.01
Solving for n, we find n ≈ 31 months. Therefore, it will take Jamie 31 months to recoup her investment in the solar panels.
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Simplify 6^7/6^5
I have no idea math is hard
Step-by-step explanation:
hi hlo hshsvbzbzbsbbzbsbsbsb
Answer:
It is 36
Step-by-step explanation:
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover that curved surface of the frustum B)what is the volume of the frustum (Give both answers in terms of pie)
Answer:
\((a)\ Area = 195\pi\)
\((b)\ Volume = 700\pi\)
Step-by-step explanation:
Given
\(h = 12\)
\(d_1 = 10\) --- lower diameter
\(d_2 = 20\) --- upper diameter
Solving (a): The curved surface area
This is calculated as:
\(Area = \pi l(r_1 + r_2)\)
Where
\(r_1 = 0.5 * d_1 = 0.5 * 10 = 5\) --- lower radius
\(r_2 = 0.5 * d_2 = 0.5 * 20 = 10\) --- upper radius
And
\(l = \sqrt{h^2 + (r_1 - r_2)^2\) ---- l represents the slant height of the frustrum
\(l = \sqrt{12^2 + (5 - 10)^2\)
\(l = \sqrt{12^2 + (-5)^2\)
\(l = \sqrt{144 + 25\)
\(l = \sqrt{169\)
\(l = 13\)
So, we have:
\(Area = \pi l(r_1 + r_2)\)
\(Area = \pi * 13(5 + 10)\)
\(Area = \pi * 13(15)\)
\(Area = 195\pi\)
Solving (b): The volume
This is calculated as:
\(Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))\)
This gives:
\(Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))\)
\(Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))\)
\(Volume = \frac{1}{3}\pi * 12 * (175)\)
\(Volume = \pi *4 * 175\)
\(Volume = 700\pi\)
Round to the nearest tenth. B 63 142° 61 A C X x = [?]
The value of x in the triangle is 117.2 units
The missing image is attached with the answer.
What is an Equation?An equation is formed when two expression is equated by an equal sign to a constant , variable or an expression.
Cosine rule of Triangles is used and is given by
c² = a² + b² - 2ab cos C
Where a, b, c are the sides and C is the angle opposite side c.
from the given data in the figure
c = 63
a = 61 and
angle B is 142 degree
x² = 63² + 61² - 2(63)(61) * cos(142)
On solving
x = 117.2
The value of x in the triangle is 117.2 units
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Which function will have the steepest graph?
y = –2x
y = x
y = x
y = x
The function whose graph will have the steepest slope is: y = 5/2x.
How to Determine the Steepness of a Function Graph?The slope of a function as modelled by the equation, y = mx, is represented as m in the equation.
The greater the value of the slope, m, of the graph that represents the function, the steeper the graph, irrespective of whether the value is negative or positive.
In the function y = -2x, the slope, m, is -2.
In the function y = -1/2x, the slope, m, is -1/2.
In the function y = 3/2x, the slope, m, is 3/2.
In the function y = 5/2x, the slope, m, is 5/2.
5/2 is greater than -2, 3/2, and -2. Thus, the function that will have the steepest is y = 5/2x.
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how do you find the volume of a hexagonal prism?
Answer:
V =base area × height or [(3√3)/2]a2h
where
a = base length
h = height of the prism
Step-by-step explanation:
there is a joint pmf px,y (x,y) whose marginals satisfy px(u) = py (u) for all u, and yet p(y > x) ≥0.9.
The correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.
The given scenario states that there is a joint probability mass function (pmf) Px,y(x,y) with marginal probabilities Px(u) = Py(u) for all u. However, it also states that the probability of Y being greater than X, P(Y > X), is greater than or equal to 0.9.
This situation seems contradictory at first, as the marginals are equal but the probability of Y being greater than X is significantly high. However, it is important to note that the joint pmf Px,y(x,y) accounts for the correlation between X and Y, not just their marginals.
The correlation between X and Y allows for the possibility that Y may be greater than X with a high probability, even though the marginals are equal. This indicates a dependence between the two random variables.
To illustrate this, let's consider an example where X and Y represent the heights of two groups of individuals. The equal marginals Px(u) = Py(u) imply that the heights in each group have the same distribution. However, the high probability of Y being greater than X (P(Y > X) ≥ 0.9) suggests that, on average, the individuals in one group tend to be taller than those in the other group.
Therefore, the correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.
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What is the solution of the equation below? y/5- = -7
Answer:
y=-35
Step-by-step explanation:
Steps
$\frac{y}{5}-=-7$
$\mathrm{Subtract\:}-\mathrm{\:from\:both\:sides}$
$\frac{y}{5}=-7$
$\mathrm{Simplify}$
$\frac{y}{5}=-7$
$\mathrm{Multiply\:both\:sides\:by\:}5$
$\frac{5y}{5}=5\left(-7\right)$
$\mathrm{Simplify}$
$y=-35$
Answer:
y = 35
Step-by-step explanation:
multiply by -5 on both sides
-5 and -5 cancel out
-5 times -7 is 35
y = 35