Answer: x= 10
Step-by-step explanation:
l= 40
w=20
P=l+w+l+w
120=5x-10+2x+5x-10+2x
120= 14x-20
120+20=14
140=14x
x=10
Let get x from the first equation
-4x=+2y-10
x=-1/2y + 5/2
Now substitute the x in the second equation
3(-1/2y+5/2)+y=4
-3/2y + 15/2 + y =4
Move the terms without the y to the other side
-3/2y + y = -15/2 +4
Now multiple both side by 2
-3y +2y = -15+8
-y = -7
Y = 7 (ANSWER)
Now we substitute the y in the first equation so we can get the x
x = -1/2 (7) + 5/2
x = -7/2 + 5/2
x = -2/2
X = -1 (SECOND ANSWER)
Answer:
To round 5.82 to the nearest tenth consider the hundredths' value of 5.82, which is 2 and less than 5. Therefore, the tenths value of 5.82 remains 8.
Step-by-step explanation:
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The ordered pair that is on g(x) is (2, -3/400)
determine the ordered pair:
The function is given as:
f(x)=3/4(10)∧-x
The rule of reflection across the x-axis is:
g(x) = -f(x)
So, we have:
g(x) = -3/4(10)∧-x
Set x = 2.
So, we have:
g(2) = -3/4(10)∧-2
Evaluate the exponent
g(2) = -3/4 * 1/100
Evaluate the product
g(2) = -3/400
This means that:
(x, y) = (2, -3/400)
Hence, the ordered pair that is on g(x) is (2, -3/400)
Ordered pairs are pairs of two numbers (or variables) that are enclosed in parentheses and separated by commas. For example, (1, 2) is an ordered pair. Coordinate geometry represents points, and set theory represents elements of relations / Cartesian products.
Ordered pairs are pairs of numbers in a particular order. For example, (1, 2) and (-4, 12) are ordered pairs. The order of the two numbers is important. (1, 2) is not equivalent to (2, 1)-(1, 2) ≠ (2, 1).
Learn more about the ordered pair here:brainly.com/question/1528681
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Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable who represents the variable of interest. We know from the problem that the distribution for the random variable X is given by:
We select a sample of size n=64. That represent the sample size.
From the central limit theorem we know that the distribution for the sample mean 
is given by:
The mean for the sample distirbution would be given by:
And the deviation given by:
And then the distribution for the sample mean is:
