Answer:
1. The perimeter of the basketball poster is 240.
The perimeter of the football poster is 282.
3. Football poster has the greater perimeter.
Step-by-step explanation:
To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.
To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.
2(55+86)=282.
282 > 240, which means that the football poster has a greater perimeter.
Hope that helps, have a good day!! :D
3. Mikayla was making origami frogs. If she made 8
frogs a day, how many days would it take her to
make 200?
Answer:
25 days
Step-by-step explanation:
200/8 = 25
25 days
Answer:
25 days
Step-by-step explanation:
You would take 200 ÷ 8 to get the amount of days it took her to make the frogs, which is 25 days because 8 × 25 = 200.
Bob earns $60,000 a year at an accounting firm. Each year, he receives a raise. Bob has determined that the probability that he receives a 10% raise is 0.7, the probability that he earns a 3% raise is 0.2, and the probability that he earns a 2% raise is 0.1.A competing company has offered Bob a similar position for $65,000 a year. Bob wonders if he should take the new job or take his chances with his current jo
Answer:
He should keep his job.
Step-by-step explanation:
We know that there is a 70% chance that he willend up getting a 10% raise. A 10% raise will allow him to make 66000 dolllars, which is 1000 more than getting a new job.
There is a 30% chance that he will make about 3,100 dollars less than a new job. However, 30% is much lower than 70%, so this probably wont be the outcome. And over future years, if this remains constant, he will end up still making more money staying wiht his job.
Hope this helps!
Mai, Clare, and Tyler are hiking
from a parking lot to the summit
of a mountain. They pass a sign
that gives distances.
Parking lot: 3/4 mile
Summit: 1 and 1/2 miles
Mai says: "We are one third of the
way there." Clare says: "We have to
go twice as far as we have already
gone." Tyler says: "The total hike is
three times as long as what we
have already gone."
Who is correct?
Answer:Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
40 POINTS!!! PLEASE HELP!!
Answer:
1.) Observational Study
2.) Survey
3.) Experiment
4.) Survey
Step-by-step explanation:
Observational study is a study conducted based on observations
A Survey, is an answer to a question asked that varies from people to people and their opinions.
Experiment is a research based on statistical and experimental data
Hope this helps!
Perform the indicated operations: 4−1−4 −462 8−46 −7 −4 30 4−1−4 −462 −7 −4
Answer:
[ 0 8 10 | 22 ]
Step-by-step explanation:
Edge 2021 :) hope this helps
Answer:
0 8 10 22
A: Add row 1 and row 2 and insert the result in row 2.
Step-by-step explanation:
Doing the instruction right now!
HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches?
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Do it in this order
Step-by-step explanation:
5 3 1 2 4 6
Which expression has the same meaning as 5 8/3?
Answer:
The answer is
\( \sqrt[3]{ {5}^{8} } \)
Hope this helps you
Answer:
\(\sqrt[3]{5^{8} }\)
Step-by-step explanation:
Using the rule of radicals/ exponents
\(a^{\frac{m}{n} }\) ⇔ \(\sqrt[n]{a^{m} }\)
Given
\(5^{\frac{8}{3} }\)
= \(\sqrt[3]{5^{8} }\)
Which of the following pairs of sample size n and population proportion p would produce the greatest standard deviation for the sampling distribution of a sample proportion p?
Therefore , the solution of the given problem of standard deviation comes out to be option C with n = 1,000 and p near to 1/2 is the right response.
What does standard deviation actually mean?Statistics uses variance as a way to quantify difference. The image of the result is used to compute the average deviation between the collected data and the mean. Contrary to many other valid measures of variability, it includes those pieces of data on their own by comparing each number to the mean. Variations may be caused by willful mistakes, irrational expectations, or shifting economic or business conditions.
Here,
The following algorithm determines the standard deviation of the sampling distribution of a sample proportion p:
=> √((p*(1-p))/n)
where n is the sample size, and p is the population percentage.
For the sampling distribution of a sample proportion p,
the pair of sample number n and population proportion p that would result in the highest standard deviation is:
=>n =1,000, and p is almost half.
Because p=1/2
yields the highest possible value of the expression (p*(1-p)), a bigger sample size will result in a smaller standard deviation.
The standard deviations will be lower for the other choices, which have smaller sample sizes or extreme values of p.
Therefore, (C) with n = 1,000 and p near to 1/2 is the right response.
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What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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Naomi's dining room is 7 yards wide and 7 yards long. Naomi wants to install wooden trim around the top of the room. The trim costs $9.00 per yard. How much will it cost Naomi to buy enough trim?
Tanner-UNF Corporation acquired as a long-term investment $200 million of 6.0% bonds, dated July 1, on July 1, 2024. Company management has the positive intent and ability to hold the bonds until maturity. The market interest rate (yield) was 8% for bonds of similar risk and maturity. Tanner-UNF paid $170.0 million for the bonds. The company will receive interest semiannually on June 30 and December 31. As a result of changing market conditions, the fair value of the bonds at December 31, 2024, was $180.0 million
Carrying value on June 30, 2024 is $176 million, total Interest revenue is $12.44 million
To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.
The carrying value is the purchase price plus the accrued interest, which is calculated as follows:
Accrued interest = Face value x Coupon rate x Time
where Time = 6/12 = 0.5 (since interest is paid semiannually)
Accrued interest = $200 million x 6% x 0.5 = $6 million
Carrying value on June 30, 2024 = Purchase price + Accrued interest
= $170 million + $6 million
= $176 million
The interest revenue for the first six months is calculated as follows:
Interest revenue = Carrying value x Market rate x Time
= $176 million x 8% x 0.5
= $7.04 million
For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.
The interest revenue for the second six months is calculated as follows:
Interest revenue = Carrying value x Coupon rate x Time
= $180 million x 6% x 0.5
= $5.4 million
Total interest revenue = Interest revenue for first six months + Interest revenue for second six months
= $7.04 million + $5.4 million
= $12.44 million
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18. If Allan swims at an average speed of 2
metres per second, how long will it take
him to complete a 200 metre race?
Answer:
100 seconds
Step-by-step explanation:
200/2 = 100s
Help please i don’t understand
Answer:
AB ≈ 5.39
Step-by-step explanation:
If you draw a line down from A, and another line left from B, the lines will intersect to form a right triangle with AB as the hypotenuse. You can use the Pythagorean theorem to find the length AB.
The vertical leg is 2 grid squares (units) long. The horizontal leg is 5 grid squares (units) long.
Then the hypotenuse, AB, is ...
AB = √(2² +5²) = √(4 +25) = √29
AB ≈ 5.39
The length of AB is about 5.39 units.
64° 42 °
xº
48°
Find the value of x
Discuss measures that can be taken to develop the spirit of hard work
Picture included!
Find the unknowns in the graph below:
All the values of x, y and z are,
z = 12.99
y = 7.01
x = 28.3 degree
We have to given that;
In a triangle,
Two angles are, 61.7 degree and 90 degree
And, One side is, 14.76.
Now, We can formulate;
sin 61.7° = Perpendicular / Hypotenuse
sin 61.7° = z / 14.76
0.88 = z / 14.76
z = 0.88 x 14.76
z = 12.99
And, By Pythagoras theorem we get;
14.76² = z² + y²
14.76² = 12.99² + y²
217.85 = 168.74 + y²
y² = 217.85 - 168.74
y² = 49.1
y = 7.01
And, By sum of all the angles in triangle, we get;
x + 61.7 + 90 = 180
x + 151.7 = 180
x = 180 - 151.7
x = 28.3 degree
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Simplify: 12.5 – 2.2 – 1.5 + 2.6
Answer:
11.4
Step-by-step explanation:
12.5-2.2=10.3
10.3-1.5=8.8
8.8+2.6=11.4
Solve the equation for m-12=1
Answer:
m=13
Step-by-step explanation:
To simplify the equation, add 12 to both sides.
Answer:
m=-11
Step-by-step explanation:
m-12=1
m= 1 -12
m=-11
please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
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A car travels a distance of d km in t hours. The formula that
relates d to tis d = kt. What kind of variation is it?
Answer:
Direct Variation
Step-by-step explanation:
Given: A car travels at a distance of \(d\) km. The formula that relates \(d\) to \(t\) is \(d=kt\)
To find: kind of variation
Solution:
The formula that relates \(d\) to \(t\) is \(d=kt\)
Here, \(k\) is a constant of proportionality.
Constant of proportionality is also called as constant of variation.
\(d\) varies directly as \(t\).
Therefore, this is a direct variation.
Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answer:
10d+16
Step-by-step explanation:
=>3(2d+2)+2(2d+5)
=>6d+6+4d+10
=>10d+16
The students in a club are selling flowerpots to raise money. Each flowerpot sells for $15.
Part B
The goal of the students in the club was to raise $500. They sold 43 flowerpots. By what amount did the students exceed their goal of raising $500? Show or explain all your work.
The sum of two numbers is 43, the difference is 7. Find the numbers
Answer:
25 and 18
Step-by-step explanation:
Find the values of c that satisfy the Mean Value
Theorem.
SHOW STEPS
This is a negative number, there is no real value of c that satisfies the Mean Value Theorem.
What is mean value theorem ?
The Mean Value Theorem is a fundamental result in calculus that establishes a relationship between the values of a function and its derivative on an interval. The theorem states that if a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists at least one point c in (a,b) where the slope of the tangent line to the curve at c is equal to the average slope of the curve over the interval [a,b]. In other words, there exists a point c where the instantaneous rate of change of the function equals the average rate of change of the function over the interval [a,b]. Mathematically, the theorem can be expressed as:
f'(c) = (f(b) - f(a))/(b - a)
According to the question:
To use the Mean Value Theorem, we need to verify that the following conditions are satisfied:
f(x) is continuous on the interval [-5,-1]
f(x) is differentiable on the interval (-5,-1)
If both of these conditions are satisfied, then there exists a value c in the interval (-5,-1) such that:
\(f'(c) = (f(-1) - f(-5))/(-1 - (-5)) = (f(-1) - f(-5))/4\)
So, let's check the conditions:
f(x) is continuous on [-5,-1]:
The function is continuous on the interval, except at x=0, where it has a vertical asymptote. However, since 0 is not in the interval [-5,-1], we can ignore this issue.
f(x) is differentiable on (-5,-1):
To check if f(x) is differentiable, we need to find its derivative:
\(f(x) = (x^2 - 4)/(2x) = (1/2)x - (2/x)\)
\(f'(x) = 1/2 + 2/x^2\)
Since f'(x) is defined and continuous on the interval (-5,-1), f(x) is differentiable on the interval (-5,-1).
Therefore, by the Mean Value Theorem, there exists a value c in the interval (-5,-1) such that:
\(f'(c) = (f(-1) - f(-5))/4\)
We can now find this value of c by solving for it:
\(f'(-5) = 1/2 + 2/25 = 29/50\)
\(f'(-1) = 1/2 + 2 = 5/2\)
\((f(-1) - f(-5))/4 = ((-1)^2 - 4)/(2(-1)) - ((-5)^2 - 4)/(2(-5)))/4\)
\(= (3/2 - 21/10)/4 = -3/20\)
Therefore, there exists a value c in the interval (-5,-1) such that:
\(f'(c) = -3/20\)
We can find this value of c by solving for it:
\(1/2 + 2/c^2 = -3/20\)
Multiplying both sides by \(c^2\):
\(c^2/2 + 2 = -3c^2/20\)
Multiplying both sides by 20:
\(10c^2 + 40 = -3c^2\)
\(13c^2 = -40\)
\(c^2 = -40/13\)
Since this is a negative number, there is no real value of c that satisfies the Mean Value Theorem.
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Find the missing side length, m.
Answer:
I believe the answer is 6.6
Step-by-step explanation:
If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6
What are two pairs of opposite sides that are parallel and congruent?
Parallelogram have two pairs of opposite sides that are parallel and congruent.
In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.
For example, let's consider a parallelogram ABCD:
Side AB is parallel and congruent to side CD.Side AD is parallel and congruent to side BC.These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).
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Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
divide the polynomials x^2-10,000/x-100
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Hey did you find the answer to it yet ? Because I’m having a hard time as well
Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………
Answer:
Alice: $75
Brian: $125
Step-by-step explanation:
3 + 5 = 8
200 ÷ 8 = 25
25 × 3 = 75
25 × 5 = 125