Can anybody help me pleaseeeeee
Answer:
ok ez
Step-by-step explanation:
a) 119/1009=11.79%
b) 264/1009=26.17%
c) 75/1009= 7.43%
d) 9/1009= 0.89%
u are welcome :)
Jeff lives on Oak Street, and Tom lives on Main Street. How much farther, to the nearest yard, is it for Tom to walk down Main Street and turn on Oak Street to get to Jeff's house than if he travels the shortest distance between the houses through an empty field? A. 46 yds B. 48 yds C. 126 yds D. 172 yds
To the nearest yard, it is 18 yards farther for Tom to walk down Main Street and turn on Oak Street to get to Jeff's house than if he travels the shortest distance between the houses through an empty field.
To solve this problem, we need to find the distance Tom would have to walk to get from his house on Main Street to Jeff's house on Oak Street using two different routes: the first route being the shortest distance through an empty field, and the second route being the distance Tom would have to walk down Main Street and then turn onto Oak Street.
Let's assume that the distance between Jeff's house and Tom's house through the empty field is x yards. To find x, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we can consider the distance between Jeff's and Tom's houses through the empty field as the hypotenuse of a right triangle, with the distance along Oak Street as one side and the distance along Main Street as the other side. Let's call the distance along Oak Street y and the distance along Main Street z. Then, we have:
\(x^2 = y^2 + z^2\)
To find y, we need to know the distance between the two streets where they intersect. Let's call this distance w. Then, we can see that:
y = w
To find z, we need to know the distance between Tom's house on Main Street and the point where the two streets intersect. Let's call this distance u. Then, we can see that:
z = u + w
Now, we can substitute y and z into the Pythagorean theorem equation to get:
\(x^2 = w^2 + (u + w)^2\)
Simplifying this equation, we get:
\(x^2 = 2w^2 + 2uw + u^2\)
To find the distance Tom would have to walk down Main Street and then turn onto Oak Street, we can simply add u and w together:
u + w = distance along Main Street + distance along Oak Street where they intersect
Let's assume that the distance along Main Street is a and the distance along Oak Street is b. Then, we have:
u + w = a + b
Now, we can calculate the difference between the distance Tom would have to walk using the two different routes:
(a + b) - x
Let's assume that the distance along Main Street from Tom's house to the intersection with Oak Street is 100 yards, and the distance along Oak Street from the intersection to Jeff's house is 80 yards. Using the Pythagorean theorem, we can calculate the distance x through the empty field as follows:
\(x^2 = 80^2 + 100^2\) = 16,000 + 10,000 = 26,000
x ≈ 161.55 yards
To find the distance Tom would have to walk along Main Street and then turn onto Oak Street, we add the distance along Main Street and Oak Street:
a + b = 100 + 80 = 180 yards
The difference in distance between the two routes is then:
180 - 161.55 ≈ 18.45 yards
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Complete question:
Jeff lives on Oak Street, and Tom lives on Main Street. How much farther, to the nearest yard, is it for Tom to walk down Main Street and turn on Oak Street to get to Jeff's house than if he travels the shortest distance between the houses through an empty field? A. 46 yds B. 48 yds C. 126 yds D. 172 yds
Revisiting the linear probability model Suppose you are estimating the following linear probability model (LPM): y=β 0
+β 1
x 1
+β 2
x 2
+u where P(y∣x 1
,x 2
)=β 0
+β 1
x 1
+β 2
x 2
and Var(y∣x)=p(x)[1−p(x)] Outline the steps needed to use weighted least squares (WLS) for estimating the LPM. Outline the steps needed to use weighted least squares (WLS) for estimating the LPM. 1. Estimate the model using and obtain the 2. Determine whether all of the are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval. 3. Construct the estimated variance h i
= 4. Estimate the original model with using weights equal to 1/ h
. True or False: Suppose, for some i, y
^
i
=−2. Although WLS involves multiplying observation i by 1/ h
, the WLS method will be viable without any further adjustments. True False Outline the steps needed to use weighted least squares (WLS) for estimating the LPM. 1. Estimate the model using and obtain the 2. Determine whether all of the are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval. 3. Construct the estimated variance h i
= 4. Estimate the original model with using weights equal to 1/ h
. True or False: Suppose, for some i, y
^
i
=−2. Although WLS involves multiplying observation i by 1/ h
, the WLS method will be viable without any further adjustments. True False
WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.
To use Weighted Least Squares (WLS) for estimating the Linear Probability Model (LPM) the steps are:
Step 1: Estimate the model using OLS and obtain the residuals, u_i.
Step 2: Determine whether all of the P(y|x1,x2) are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval.
Step 3: Construct the estimated variance h_i = p(x_i) (1 - p(x_i)).
Step 4: Estimate the original model with weights equal to 1/ h_i.
Thus, the correct answer is True.
Suppose, for some i, y^i = −2.
Although WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.
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Find the 25th term in the sequence:-2,5, 12, 19...
Answer:
166
Step-by-step explanation:
HELP WILL MAKE BRAINLIST
Answer:
3rd choice
Step-by-step explanation:
subtracted both sides by 2
Simplify 45÷2×8-12+42
Please show working
Answer:
210
Step-by-step explanation:
Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
45 ÷ 2 = 22.5
22.5 × 8 = 180
180 - 12 = 168
168 + 42 = 210
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
817 inhabitants live in a village. Of them, 241 are children.
Of the adults, there are 56 more women than men in the village.
How many men live in the village?
The number of men living in the village is 260.
How do you solve a linear equation system?A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:
\(ax + by = c\)
Given:
Total inhabitants in the village: 817
Number of children: 241
There are 56 more women than men in the village
Total adults = Total inhabitants - Number of children
Total adults = 817 - 241
Total adults = 576
Let number of men in the village be 'x' and number of women in the village be 'y',
∴ y=x+56 (given) ..................(1)
Also, x+y=576 .................(2)
From equation (1) and (2),
x + (x + 56) = 576
2x + 56 = 576
2x = 576 - 56
2x = 520
x = 520 / 2
x = 260
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In a large population of college-educated adults, the mean IQ is 112 with standard deviation 50.62. Suppose 30 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ is: a. approximately Normal, with mean 112 and standard deviation 1.443. b. approximately Normal, with mean 112 and standard deviation 4.564. c. approximately Normal, with mean equal to the observed value of the sample mean and standard deviation 25. d. approximately Normal, with mean 112 and standard deviation 9.241.
Given: Population mean IQ = 112Population standard deviation IQ = 50.62Sample size (n) = 30To find: Distribution of the sample mean IQ
The Central Limit Theorem states that for a large sample size, the distribution of sample means will be approximately Normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size . Let's calculate the standard deviation of the sample mean IQ:
Standard deviation of sample mean IQ = (Population standard deviation IQ) / √n= 50.62 / √30= 9.241 (approx.)Therefore, the distribution of the sample mean IQ is approximately Normal, with mean 112 and standard deviation 9.241. The correct option is (d).
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strings can be added together with a (plus) sign choose one • 10 points true false
True. Strings can be concatenated (joined together) using the plus sign in programming languages like Python, JavaScript, and Java.
In most programming languages, strings can be concatenated or added together using the "+" operator. When the "+" operator is used with two string operands, it combines the two strings into a single string by appending the second string to the end of the first string.
It's important to note that the "+" operator behaves differently when used with other types of operands, such as numbers or lists, and can perform addition or concatenation depending on the context.
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3 semicircles are connected to 3 sides of a square. Each side of the square measures 4 centimeters. What is the area of the composite figure?
The area of the composite figure which consist 3 semicircles and a square with 4 centimeters is (6π+16) cm².
What is the area of the semicircle?The area of the semicircle is the space occupied by it. It can be given as,
\(A_{s} = \frac{d^{2} }{8} \pi\)
Here, (d) is the diameter of the semicircle.
Each side of the square measures 4 centimeters. The area of the square is square of its side. Thus,
Area of the square, \(A_{s}\) = 4² = 16cm²
3 semicircles are connected to 3 sides of a square. Thus, the diameter of the semicircle is equal to 4 cm. The area of 3 semicircles is,
\(A_{sc} = 3 *\frac{4^{2} }{8} \pi\\A_{sc} = 6\pi\)
The area of the composite figure is,
\(A = A_{s} + A_{sc} \\A = (6\pi + 16) cm^{2}\)
Thus, the area of the composite figure which consist 3 semicircles and a square with 4 centimeters is (6π+16) cm².
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if p= -6, what does p +4 equal
Answer:
-6 p+4
-6+4
= -2
Step-by-step explanation:
Mark brainliest
p +4= -2
Like the given function is a linear equation with one variable (p). You can solve this equation replacing p for the informed value (-6).
Here it is important to remember the rules to addition of integers numbers:
+ + Add Final result (+)
- - Add Final result (-)
+ - Subtract Final result (the sign of the integer having greater value )
- + Subtract Final result (the sign of the integer having greater value )
If p=-6, then for p+4, you have:
-6+4=-2. The sign is negative because according to the rules to addition of integers numbers, you must use the sign from the larger number, in this case, -6.
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Beginning inventory: $14,320 Merchandise Purchases: $7,880 Goods available for sale: (a) Ending inventory: $11,250 Cost of goods sold: (b) solve please!
Answer:
$22,200
$10,950
Step-by-step explanation:
Goods available for sale = beginning inventory + Merchandise Purchases
$14,320 + $7,880 = $22,200
Ending inventory = goods available for sale - ending inventory
$22,200 - $11,250 = $10,950
At midnight in Mineesota, the temperature was -5. Over the next three hours. the temperature dropped 7. What is the temperature at 3:00 am
Answer:
Step-by-step explanation:
If the temperature at midnight in Minnesota was -5, and it dropped by 7 degrees over the next three hours, we can find the temperature at 3:00 am as follows:
-5 degrees - 7 degrees = -12 degrees
So, the temperature at 3:00 am in Minnesota is -12 degrees.
Write this equation in slope-intercept form. y + 6 = –10(x − 4)
I NEED THE ANSWER IN 15 MINUTES OR I'M DONE FOR
(8th-grade slopes)
Answer:
y=-10x+34
Point-slope form: y + 6= -10(x - 4)
Slope-intercept form: y = -10x + 34
Answer:
y = -10x + 34
Step-by-step explanation:
Note the slope-intercept form:
y = mx + b
In which:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
-
Also, remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponent (& Root)
Multiplication
Division
Addition
Subtraction
-
Note also the equal sign, what you do to one side of the equation, you will do to the other:
y + 6 = -10(x - 4)
First, distribute -10 to all terms within the parenthesis. Multiply -10 to x and -4. Note that:
1) When you multiply a negative and a positive term together, the answer will be negative.
2) When you multiply two negative terms together, the answer will be positive.
y + 6 = -10(x - 4)
y + 6 = (-10 * x) + (-10 * -4)
y + 6 = -10x + 40
Next, isolate the variable, y. Do so by subtracting 6 from both sides of the equation:
y + 6 (-6) = -10x + 40 (-6)
y = -10x + (40 - 6)
y = -10x + 34
y = -10x + 34 is your answer.
~
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Figure LQPO is a parallelogram.Q65°35°51°0The measure of angle LOQ =oThe measure of angle OPQ =The measure of angle OPL =The measure of angle LQP =The measure of angle LPQ =Blank 1:Blank 2:Blank 3:Blank 4:Blank 5:
SOLUTION
The angles at points L and O make up a straight line.
These angles are
\(65^o,35^o,51^o\text{ and angle LOQ}\)Angles on a straight line = 180 degrees. So
\(\begin{gathered} 65+35+51+angleLOQ=180^o \\ 151+\text{ angle LOQ = 180} \\ \text{LOQ = 180 - 151 = 29}^o \end{gathered}\)Therefore, angle LOQ = 29 degrees
Angle OPQ at point P is opposite to the angle at point L.
The angle at point L = 65 + 35 = 100 degree
Opposite angle of a parallelogram are equal.
Therefore, angle OPQ = 100 degrees
Angle OPL is alternate to angle PLQ. And angle PLQ = 65 degrees
Alternate angles are always equal.
Therefore, angle OPL = 65 degrees
Before we find LQP, let's find LOP.
Recall that LOQ = 29 degrees. So, LOP = 29 + 51 = 80 degrees
LQP is opposite to LOP. Since opposite angles of a parallelogram are equal,
Therefore, LQP = 80 dgrees.
Angle LPQ is alternate to angle OLP. OLP = 35 degrees
Since alternate angles are equal,
Angle LPQ = 35 degrees
Solve the system of equations.
4x - 9y - 2 = 0
12x - 5y + 38 = 0
x =
y =
during the 2000 season, the home team won 138 of the 240 regular season national football league games. is this strong evidence of a home field advantage in professional football? test an appropriate hypothesis and state your conclusion. be sure the appropriate assumptions and conditions are satisfied before you proceed.
A) The 95% confidence interval is:
0.58 ± 0.062
B) At the 0.01 probability value, there is neither substantial evidence of a home-field advantage in professional football (they won and over half of the games).
Now, According to the question:
A) Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × \(\frac{\sqrt{pq} }{n}\)
Where:
z = The z score corresponds to the amount of confidence.
p = sample proportion.
q = probability of failure
q = 1 - p
p = x/n
Where
n = the number of samples
x = the number of success
From the information given,
n = 240
x = 138
p = 138/240 = 0.58
q = 1 - 0.58 = 0.42
To determine the z score, The confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Thus,
1 - 0.025 = 0.975
The z -score associated with the area just on z table approximately 1.96. Therefore, the z score with a 95% confidence level is 1.96.
As a result, the 95% confidence interval becomes
0.58 ± 1.96√(0.58)(0.42)/240
Confidence interval is
0.58 ± 0.062
B) Earning more than half of the games equates to winning 120 games or more.
p = 120/240 = 0.5
The hypothesis test will be
For the null hypothesis,
P ≥ 0.5
For the alternative hypothesis,
P < 0.5
Probability of success, p = 0.5
q = probability of failure = 1 - p
q = 1 - 0.5 = 0.5
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 138
n = number of samples = 240
P = 138/240 = 0.58
We need to find the values of the test statistic which will be the z score
z = (P - p)/√pq/n
z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48
Remember that this is a two-tailed test. We would use the normal distribution table to calculate the probability potential of the property to the right of both the z score.
P value will be = 1 - 0.9934 = 0.0066
Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.
The given question is incomplete, The complete question is this:
__"During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct a 95% confidence interval for the winning proportion of the home team during this season. b) At the 0.01 significance level, is there strong evidence of a home field advantage (they win more than half of the games) in professional football? State hypotheses, calculate the test statistic and p-value, and make a conclusion in context"__
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Find parametric equations for the tangent line at the point (cos(56π),sin(56π),56π) on the curve x=cost, y=sint, z=t x(t) = equation editor y(t)= equation editor z(t)=
we need to find the parametric equations for the tangent line at the point (cos(56π),sin(56π),56π) on the curve x = cos(t), y = sin(t), z = t.
To find the tangent line, we need to calculate the derivatives of x(t), y(t), and z(t) with respect to t. The derivatives give us the slopes of the tangent line in each direction. Then, we can use the point-slope form of a line to obtain the parametric equations.
The derivative of x(t) is -sin(t), the derivative of y(t) is cos(t), and the derivative of z(t) is 1. Using these derivatives, we can construct the parametric equations for the tangent line passing through the given point.
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solve for t. 3t - 2= 11
Answer:
4.33 recurring
Step-by-step explanation:
do the inverse
11+2=13
13/3=4.33333
t=4.33333
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Write a statement that increases numpeople by 5. Ex: if numpeople is initially 10, the output is: there are 15 people.
A statement that increases numpeople by 5 is
numpeople = numpeople + 5
Here's a statement that increases the value of numpeople by 5:
numpeople = numpeople + 5
After executing this statement, the value of numpeople will be increased by 5. For example, if numpeople was initially 10, the value of numpeople would be 15 after executing this statement.
Here's a complete program that demonstrates the statement:
numpeople = 10
print("There are", numpeople, "people.")
numpeople = numpeople + 5
print("There are", numpeople, "people.")
This program would output the following:
There are 10 people.
There are 15 people.
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Solve for x algebraically: 7x-3(4x-8) ≤6x + 12-9x7x-3 (4x-8) = 6x +12%-9x7% -12x + 24 = 6x + 12x-9x7x-12x+24 <-3x+125x + 24 =-3x+12-5x+24+3x=12-5x + 3x = 12-24-2x = 12-24-2x = -12,X = 6(b)If x is a number in the interval [4,8], state all integers that satisfy the given inequality.Explain how you determined these values.
Part B.
Given the inequality:
\(7x-3(4x-8)\leq6x+12-9x\)Given that the solution to part a is a number in the interval [4, 8], let's state all inetgers that satisfy the given inequality.
Here, we have the interval:
[4, 8]
After solving the inequality, we have the solution:
\(x\ge6\)The interval [4, 8] means all numbers from 4 to 8.
Therefore, all numbers in this interval are:
4, 5, 6, 7, 8.
But for this solution we have that x is greater than or equal to 6.
This means it will be 6 or greater but less than 9.
Therefore, the integers that satisfy the given inequality are:
6, 7, 8
ANSWER:
6, 7, 8
There are 6 m spaces help
Answer with step-by-step explanation:
If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.
7.5 cm = 1/16 m
9 cm = 3/40 m
6 cm = 1/20 m
3.5 cm = 7/240 m
Hope this helped!
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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After a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C'(15,0). Choose the scale factor for this dilation.
The scale factor is 2.5
for B = 10/4 = 2.5
for C = 15/6 = 2.5
two dice are rolled, one blue and one red. how many outcomes have either the blue die 3 or an even sum or both?
There are 25 possible outcomes where we either get a blue die 3 or an even sum or both.
To solve this problem, we need to use the concept of probability. Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. In this case, we want to find the probability of rolling either a blue die 3 or an even sum or both.
First, let's count the number of outcomes where the blue die is 3. There is only one way to get a 3 on the blue die, and the red die can be any number from 1 to 6. Therefore, there are 6 possible outcomes where the blue die is 3.
Next, let's count the number of outcomes where we get an even sum. There are three ways to get an even sum: (1,1), (2,2), and (3,3). For each of these outcomes, the blue die can be any number from 1 to 6. Therefore, there are 18 possible outcomes where we get an even sum.
Finally, let's count the number of outcomes where we get both a blue die 3 and an even sum. There is only one way to get a blue die 3 and an even sum: (3,3). Therefore, there is only one possible outcome where we get both a blue die 3 and an even sum.
To find the total number of outcomes that have either a blue die 3 or an even sum or both, we need to add the number of outcomes where the blue die is 3, the number of outcomes where we get an even sum, and the number of outcomes where we get both. This gives us:
6 + 18 + 1 = 25
Therefore, there are 25 possible outcomes where we either get a blue die 3 or an even sum or both.
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it takes me on average 15 minutes to get to my classroom. i leave my home every day at 10:43am to teach an 11:00am class. i arrive late for one in ten lectures. assuming a normal distribution of travel times, what is the standard deviation?
The standard deviation is approximately 3.23 minutes.
Given that it takes on average 15 minutes to get to the classroom and that the lecturer leaves home every day at 10:43 AM to teach an 11:00 AM class.
Therefore, the average arrival time for the lecturer is 10:58 AM.
The probability of arriving late for one in ten lectures is equivalent to a probability of 10% or 0.10.
The standard deviation can be calculated using the formula:
σ = √[p(1-p)/n]σ = √[0.10(1-0.10)/n]
where p = probability of arriving late for one in ten lectures and n = sample size.
To solve for σ, we need to find the sample size, which can be found using the formula for z-score.
z-score = (x - μ) / σwhere x is the time taken to get to the classroom, μ is the average arrival time, and σ is the standard deviation.
The z-score is calculated as follows:z-score = (11:15 - 10:58) / σz-score = 17 / σ
To find the standard deviation, we need to solve for σ by setting the z-score equal to the inverse of the standard normal cumulative distribution function (invNorm) corresponding to the probability of arriving late for one in ten lectures.
z-score = invNorm(0.10)z-score
= -1.28-1.28
= (11:15 - 10:58) / σσ
= (11:15 - 10:58) / -1.28σ
≈ 3.23 minutes
Therefore, the standard deviation is approximately 3.23 minutes.
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(1 point) solve the system using row operations (or elementary matrices). ⎧⎩⎨⎪⎪4x3x−3x 5y−2y 3y−3z−4z−4z===−6−1618
The solution to this system of equations is x = -6, y = 9, and z = 5.
To solve this system of equations using row operations or elementary matrices, we can first start by subtracting 4x from both sides of the first equation. This leaves us with 3x - 3x = -6. Since the x terms cancel out, this equation is now true for any value of x. We can then use this equation to substitute -6 for the x terms in the other two equations. In the second equation, we have 5y - 2y - 6 = -16. We can then subtract 5y from both sides of the equation to get -2y - 6 = -16. Dividing both sides by -2 gives us y = 9. The third equation is now 3y - 3z - 4z - 4z = -6. We can then subtract 3y from both sides of the equation to get -3z - 4z = -15. We can then divide both sides of the equation by -3 to get z = 5. Therefore, the solution to this system of equations is x = -6, y = 9, and z = 5.
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The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?
Answer:
15 m
Step-by-step explanation:
The area of the circle is
A =pi r^2
A = pi 4^2 = 16 pi
The area of the sector is 30
The fraction is
30/16 pi
Take this time 2pi which are the radians of a circle
30 /16 pi * 2 pi = 15/4
This is the number of radians the angle is
The arc length is s = r * theta where theta is in radians
s = r theta
= 4 * 15/4
= 15
3 points Save Answer In a process industry, there is a possibility of a release of explosive gas. If the probability of a release is 1.23* 10-5 per year. The probability of ignition is 0.54 and the probability of fatal injury is 0.32. Calculate the risk of explosion
The risk of explosion in the process industry is 6.6594e-06 per year.
To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.
Step 1: Calculate the probability of an explosion.
The probability of a gas release per year is given as\(1.23 * 10^-^5\).
The probability of ignition is 0.54.
The probability of fatal injury is 0.32.
To calculate the risk of explosion, we multiply these probabilities:
Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury
Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32
Risk of explosion = 6.6594 *\(10^-^6\) per year
Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.
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which expression is equivalent to 1/6 - 3/8 + 1/2
Answer:
7/24
Step-by-step explanation:
1/6-3/8+1/2
4/24-9/24+12/24
-5/24+12/24
7/24