<em>The result is -13</em>
<h2>
Explanation:</h2><h2 />
Here we have the following addition problem:
So let's solve this step by step:
Step 1. Perform two plus two.
So:
Step 2. Perform the subtraction.
Since the sign (-) accompanies 17 which is greater than 4, then we perform the subtraction and add the sign (-) to the result. So:
<em>Finally, the result is -13</em>
<h2>Learn more:</h2>
Distributive property: brainly.com/question/10794694
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Answer:
The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Step-by-step explanation:
Considering the vertices of the rectangle ABCD
A(-8, 6)
B(-4, 6)
C(-4, 4)
D(-8, 4)
When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.
i.e.
B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)
Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
And we can use the z scoe formula given by:
And if we find the z score for the limits we got:
And this probability is equivalent to:
Step-by-step explanation:
For this case we can define the random variable X as "number of miles between services" and we know the following info given:
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".
From the central limit theorem we know that the distribution for the sample mean is given by:
We select a random sample size of n =44. And we want to find this probability:
And we can use the z scoe formula given by:
And if we find the z score for the limits we got:
And this probability is equivalent to:
Answer:
x=4
Step-by-step explanation:
We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b we use c^2-a^2=b^2. Lets input our knowns. 5^2-3^2=x^2. Lets start solving by squaring.
25-9=x^2
Subtract
16=x^2
Take the square root
4=x