Answer: 80%
Step-by-step explanation:
or 85% but i think its 80%
Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.
Driving Time
Time (hr) Distance (miles)
3 150
7 350
10 500
What is Johnathan’s average rate of speed?
Answer:
50mph
Step-by-step explanation:
first divide 150 by 3 and you get 50
then divide 350 by 7 you get 50
and finally divide 500 by 10 and you get 50
Determine the perimeter of each rectangle 149m 76m
Answer: Draw rectangle put 149m at the top and bottom and 76m at the side now add and you 450m
900
grams is what percent of 1.200 kg (1,200 grams)? Express your
answer with 6-figure accuracy.
The 900 grams is 75% of 1.200 kg (1,200 grams).
Evaluate those 900 grams is what percent of 1.200 kg (1,200 grams)?
We can solve this problem by converting both the quantities to the same units. We have
1 kg = 1000 grams.
1.200 kg = 1.200 × 1000
= 1200 grams.
Then, the required percentage is as follows:
% = {900}/{1200} × 100
Now, we can simplify the above expression to get the answer. We have,
{900}/{1200} = {3}/{4}
Therefore,
% = {3}/{4} × 100
= 75%
Hence, 900 grams is 75% of 1.200 kg (1,200 grams).
Thus, the answer is 75.
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A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
0.20
0.46
0.85
1.50
Answer:
1.50
Step-by-step explanation:
To find the mean of the probability distribution, we need to multiply each value of hours studied by its corresponding probability, then add up the products.
Mean = (0.5 x 0.07) + (1 x 0.2) + (1.5 x 0.46) + (2 x 0.2) + (2.5 x 0.07)
Mean = 0.035 + 0.2 + 0.69 + 0.4 + 0.175
Mean = 1.5
Therefore, the mean of the probability distribution is 1.5.
Answer:
D
Step-by-step explanation:
1.50 on edge (if that guys right)
Find the sum of the first
20 odd numbers.
Answer:
Hi there.....
Step-by-step explanation:
This is ur answer......
1, 3, 5, 7, 9, 11, 13, 15.................39
Therefore the total sum = 400
hope it helps you,
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Answer:
400
Step-by-step explanation:
These are the first 20 odd numbers
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39
Put them in a calculator and you get: 400
There are 3 consecutive odd integers with a sum of –195. What is the least of these integers?
Answer:
The 3 consecutive odd numbers are -67, -65 and -63 and the least of them is -67.
Explanation:
Consecutive odd numbers means that the next number will be two more than the previous one.
Let the 1st number be y, the other 2 consecutive odd numbers will be y + 2 and y + 4.
We're also told that the sum of the 3 numbers is -195, so our equation can be written thus;
\(y+(y+2)+(y+4)=-195\)Let's collect like terms and solve for y;
\(\begin{gathered} 3y+6=-195 \\ 3y=-195-6 \\ 3y=-201 \\ y=-\frac{201}{3} \\ \therefore y=-67 \end{gathered}\)So our 1st number is -67.
Let's go ahead and find the other 2 numbers;
2nd number: y + 2 = -67 + 2 = -65
3rd number: y + 4 = -67 + 4 = -63
Therefore, the 3 consecutive odd numbers are -67, -65 and -63 and the least of them is -67.
which are the slope and the y-intercept linear function that is represented by the graph?
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the graph is not given.
The general step to calculate slope and y intercept is as follows;
Assume any two points on the graph are:
\((x_1,y_1) = (5,1)\)
\((x_2,y_2) = (1,4)\)
The slope (m) is:
\(m = \frac{y_2 -y_1}{x_2 - x_1}\)
\(m = \frac{4 -1}{1-5}\)
\(m = \frac{3}{-4}\)
\(m = -\frac{3}{4}\)
The equation of the graph is:
\(y = m(x - x_1) + y_1\)
This gives:
\(y = -\frac{3}{4}(x - 5) + 1\)
\(y = -\frac{3}{4}x +\frac{15}{4} + 1\)
\(y = -\frac{3}{4}x +\frac{15+4}{4}\)
\(y = -\frac{3}{4}x +\frac{19}{4}\)
To calculate the y intercept; set \(x = 0\)
\(y = -\frac{3}{4}*0 +\frac{19}{4}\)
\(y = \frac{19}{4}\) ---- y intercept
Line q passes through (−5, 5) and is parallel to the line 2x + y + 1 = 0.
The slope of line q is
.
Answer:
the slope of line q is -2
Step-by-step explanation:
edg2020
D Calculate the value of the error with one decimal place for: Z= # where x = 5.9 +/-0.5 and y = 2.1 +/- 0.2 Please enter the answer without +/- sign. 4 Question 2 Calculate the value of the error wit
The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.
To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.
In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:
ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)
Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:
ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134
Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.
Therefore, the value of the error for Z, with one decimal place, is 4.
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Decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation. y"(θ)+3y'(θ)-y(θ)=secθ
The method of undetermined coefficients cannot be applied to find a particular solution of the given equation y''(θ) + 3y'(θ) - y(θ) = sec(θ) since sec(θ) is not an elementary function that fits the criteria for the method.
To determine whether the method of undetermined coefficients can be applied to find a particular solution for the given equation y''(θ) + 3y'(θ) - y(θ) = sec(θ), we need to consider the nature of the non-homogeneous term on the right-hand side (sec(θ)) and the compatibility with the method.
The method of undetermined coefficients is applicable when the non-homogeneous term is a linear combination of elementary functions such as polynomials, exponential functions, sine, cosine, and their linear combinations.
However, the term sec(θ) does not fall into this category.
Secant (sec(θ)) is not an elementary function. It is the reciprocal of the cosine function and has a non-trivial behavior. The method of undetermined coefficients relies on the assumption that the particular solution can be expressed as a sum of specific functions, each corresponding to the elementary functions in the non-homogeneous term.
Since sec(θ) does not fit this criterion, the method of undetermined coefficients cannot be directly applied to find a particular solution.
In this case, an alternative approach, such as variation of parameters or integrating factors, may be more appropriate for finding a particular solution for the given equation.
These methods are used to handle non-elementary non-homogeneous terms by introducing additional parameters or transforming the equation.
Therefore, in the given equation y''(θ) + 3y'(θ) - y(θ) = sec(θ), the method of undetermined coefficients cannot be directly applied to find a particular solution.
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y varies directly with x. If x = 6 and y = -12 what is y if x = -3
Type your answer...
Answer:
y=6
Step-by-step explanation: yes
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answer:
Step-by-step explanation:
If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.
Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.
Hope that helped,
-sirswagger21
Name one combination of 12 coins
Answer:
11 pennies and 1 nickel
Step-by-step explanation:
11 pennies and 1 nickel is a combination of 12 coins.
-> If there is more context, please include it.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes. find the probability that a randomly selected passenger has a waiting time minutes.
According to the uniform distribution, there is a 0.625 = 62.5% chance that a randomly chosen passenger will have to wait longer than 2.25 minutes.
The boundaries of a uniform distribution are a and b.
The likelihood of discovering a value greater than x is:
P(X > x)=b-x/b-a
In this issue, the distribution of time is evenly spaced between 0 and 6 minutes, therefore
a=0 b=6
P(X > x)= 6-2.25/6-0
=0.625
0.625 = 62.5% probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.
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Write your question here (Keep it simple and clear to get the best answer) FIND FOR X IN THE INEQUETION6-(2X-4)=3X+5
Answer:
x = 1
Step-by-step explanation:
Questions
6-(2x-4)=3x+5
Expanding the bracket
6-2x+4=3x+5
Rearranging the equation
6+4-2x=3x+5
10-2x=3x+5
Collecting like terms
10-5=3x+2x
5=5x
Dividing both sides by the quoefficient of x which is 5
5/5=5x/5
x=1
PLEASE HELP ASAP 40 PTS
6.
What are the values of x and y?
Answer:
The value of x = 36°, while the value of y = 72°.
Step-by-step explanation:
All of these angles add up to 360°.
Opposite angles are always equivalent, so the angle opposing x would be 36°, which means x = 36°.
360 - 2(36) = 288
288/4= 72
To check:
(72 * 4) + 2(36) = 360
In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours.For the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75.For the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73.What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us
0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16
Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.
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What's the correct t statistic for the difference between means of independent samples (without pooling)?
t = xbar1 - bar2 / √s₁² / n₁² + s₂² / n₂²
This formula will give you the correct t statistic for comparing the means of two independent samples without assuming equal variances
To calculate the t statistic for the difference between means of independent samples without pooling, you can use the following formula:
t = (xbar1 - xbar2) / √[(s₁² / n₁) + (s₂² / n₂)]
Here,
- xbar1 and xbar2 are the sample means of the two groups,
- s₁² and s₂² are the sample variances for the two groups,
- n₁ and n₂ are the sample sizes for the two groups.
This formula will give you the correct t statistic for comparing the means of two independent samples without assuming equal variances (i.e., without pooling).
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\( \frac{3}{4} |m - 2n {}^{2} | \)
If m = -4 and n=6
Janae drew point A located at (-2,5), and point located at (6, -1). What is the x-coordinate of point B that bisects AC?
Answer:
The x coordinate is 2
Step-by-step explanation:
Given
\(A = (-2,5)\)
\(C = (6,-1)\)
Required
Determine the x coordinate of B
Since B is the bisector of AC, then B is the midpoint and will be calculated using;
\(B(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\)
Considering the x coordinates alone;
\(x = \frac{x_1 + x_2}{2}\)
Where
\((x_1,y_1) = (-2,5)\) and \((x_2,y_2) = (6,-1)\)
Substitute values for x1 and x2
\(x = \frac{-2 + 6}{2}\)
\(x = \frac{4}{2}\)
\(x = 2\)
Hence;
The x coordinate is 2
How many solutions does 5 - 2x = 3 + x-4- 3x have?
A. One solution
B. Infinitely many solutions
C. No solutions
D. Two solutions
Answer:
C.
Step-by-step explanation:
just took the test
Bobby has d more than 3 times the number of baseball cards as Michael. Michael has m baseball cards. Write an expression to represent the situation
The expression representing the situation is B = 3M + d, where B represents the number of baseball cards Bobby has, M represents the number of baseball cards Michael has, and d represents the additional amount that Bobby has compared to three times the number of cards Michael has.
Step 1: Assign variables.
Let's assign the variable "B" to represent the number of baseball cards Bobby has and the variable "M" to represent the number of baseball cards Michael has.
Step 2: Understand the relationship.
According to the given information, Bobby has "d" more than 3 times the number of baseball cards as Michael. This means that Bobby's number of baseball cards can be calculated by taking 3 times the number of cards Michael has and adding "d" to it.
Step 3: Create the expression.
To represent the situation, we can write the expression as: B = 3M + d.
Step 4: Interpret the expression.
In this expression, "3M" represents 3 times the number of baseball cards Michael has, and "d" represents the additional amount that Bobby has compared to that.
Therefore, the expression B = 3M + d represents the situation where Bobby has "d" more than 3 times the number of baseball cards as Michael. This expression allows us to calculate Bobby's number of cards based on the given relationship between their card counts.
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if f(x)= 3x+4 and g(x)= x+1/x-1. find f-1(2). and g(f(x))
Answer:
Step-by-step explanation:
the answer is 234.89
How much metal is needed to cast a cubical metal box?
Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box.
Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box. In general, more metal is required for larger, thicker boxes. One must first calculate the box's volume in order to determine how much metal is required. The box's length, width, and height can be multiplied together to get this. The thickness of the metal must next be determined. The total amount of metal required can be estimated by multiplying the volume of the box by the thickness of the metal once the volume and thickness of the metal have been established. For instance, consider a box with dimensions of 6 inches long, 6 inches wide, and 6 inches high and a metal thickness.
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is this right plz tell the truth and be honest about it this is all my points.
Answer:
Yes it is correct because the exact number is 516 so yes
Step-by-step explanation:
155 times 3.333 = 516
Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years. also find the apy for the account.
a $1000 deposit in an account with an apr of 3.75%
the balance in the account after 1 year is approximately $
(round to the nearest cent as needed.)
>
s
The balance in the account after 1 year is approximately $1037.05, after 5 years is approximately $1191.82, and after 20 years is approximately $2213.84 and the Annual Percentage Yield (APY) for the account is approximately 3.87%.
To compute the balance in the account after a certain time period using the formula for continuous compounding, we can use the following formula:
A = P * e^(rt)
Where:
A = Balance in the account
P = Principal amount (initial deposit)
e = Euler's number (approximately 2.71828)
r = Annual percentage rate (APR) as a decimal
t = Time period in years
As per data:
P = $1000, r = 3.75% (or 0.0375 as a decimal)
To calculate the balance after 1 year, we substitute the values into the formula:
A = 1000 * e^(0.0375 * 1)
To calculate the balance after 5 years, we substitute the values into the formula:
A = 1000 * e^(0.0375 * 5)
To calculate the balance after 20 years, we substitute the values into the formula:
A = 1000 * e^(0.0375 * 20)
Now, let's calculate the balances:
After 1 year:
A ≈ $1000 * e^(0.0375 * 1)
= $1000 * e^0.0375
≈ $1037.05 (rounded to the nearest cent)
After 5 years:
A ≈ $1000 * e^(0.0375 * 5)
= $1000 * e^0.1875
≈ $1191.82 (rounded to the nearest cent)
After 20 years:
A ≈ $1000 * e^(0.0375 * 20)
= $1000 * e^0.75
≈ $2213.84 (rounded to the nearest cent)
To find the Annual Percentage Yield (APY) for the account, we can use the formula:
APY = (e^(r) - 1) * 100%
Where r is the APR as a decimal.
Substituting the value for r into the formula: APY = (e^(0.0375) - 1) * 100% Calculating the APY:
APY ≈ (e^0.0375 - 1) * 100%
≈ (1.0387 - 1) * 100%
≈ 3.87% (rounded to the nearest hundredth)
Therefore, the after one year, the balance is roughly $1037.05, after five years, roughly $1191.82, and after twenty years, roughly $2213.84. The account's annual percentage yield (APY) is roughly 3.87%.
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Write an equation for the line parallel to the given line that contains C.
5
C(1,7); y=x+4
The equation of the line parallel to the given line that contains C is obtained as y = x + 6.
What is termed as the parallel lines?Parallel lines are two or more lines which lie within the same plane but never intersect. They are equal in distance and have the same slope. Parallel lines have been straight lines which never meet, no matter how far they are extended. Numerous pairs of angles are formed when two parallel lines have been intersected by another line known as a transversal.For the given question;
The equation of the line is given as;
y = x + 4
The standard form of the equation of line in slope intercept form is;
y = m x + c
where, m is the slope and c is the y intercept.
On comparing;
m₁ = 1
Now, the other lien is parallel to the given line.
Thus, slopes of both lines will be equal.
m₁ = m₂ = 1
The passing points of the line are;
(x₁, y₁) = C(1, 7)
Now, the equation of lien will be;
y - y₁ = m₂(x - x₁)
Put the values;
y - 7 = 1(x - 1)
Simplifying.
y = x + 6
Thus, the equation of the line parallel to the given line that contains C is obtained as y = x + 6.
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The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data
How to explain the informationThe answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.
In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.
Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.
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Will mark Brianliest please answer :)
Answer:
3.5×10^4=35000
Step-by-step explanation:
Consider the value
3.5
we are saying that we are counting in units (1's) in that we have
3
1
2
of 1's
'.....................................................................................
Consider the value
3.5
×
10
. Now we are saying we have
3
1
2
of tens. That is; 3 lots of 10 is 30 and
1
2
of 10 is 5 so we have
30
+
5
=
35
'.................................................................................
Note that
10
2
is 100
Consider the value
3.5
×
10
2
. Now we are saying we have
3
1
2
of
100
'
s
So if we are counting in 100's then the decimal point stays where
it is and we move the number of 3.5 to the left until the
3 becomes hundreds.
Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.
3.5
×
10
2
−−−−−−−−−−−−−−−−−−→
slide to the left 2 places
350.0
solve for all values of x by factoring
Answer:
x = -4 and x = -6
Step-by-step explanation:
x² + 10x + 20 = -4
x² + 10x + 20 + 4 =0
x²+ 10x + 24 = 0........p = 24, s = 10 , factors = 4,6
( x² + 4x) ( + 6x + 24)= 0
x ( x + 4) + 6( x + 4)= 0
( x + 4) ( x + 6 )= 0
x + 4 = 0. or x + 6 = 0
x = -4. or x = -6
Answer:
-4, -6
Step-by-step explanation:
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