2x-3y=8 -5x+2y=13 find The x coordinate
Answers
-5x + 2y = 13
Multiply the first equation by 2 and the second by 3.
2(2x - 3y = 8)
3(-5x + 2y = 13)
4x - 6y = 16
-15x + 6y = 39
Add the two equations.
-11x = 55
Divide each side by -11.
x = -5
Related Questions
A baseball player had 4 hits in 8 games. At this rafe, how many hits will the baseball player have in the next 28 games?
(-3) to the power of 3 is?
The scatter plot shows the ages of children and how many stuffed animals they own.What is the range of ages for the cluster?
What is the slope intercept form of the graph
Answers
Answer:
Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors
Step-by-step explanation:
Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.
From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.
Now, we want to make a calculation for the amount of wood needed for 2100 sailors.
Let’s have it this way;
40 tons = 300 sailors
x tons = 2100 sailors
So mathematically,
x * 300 = 2100 * 40
x = (2100 * 40)/300
x = 280 tons of wood
We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors
Answer:
280 tons of wood
Step-by-step explanation:
Khan
calories. How many calories does the
smaller candy bar have?
Answers
Hope this helps!
The candy bar has 119 calories
Answers
sec = hypotenuse / adjacent = -13/5
cot = adjacent / opposite = -5/12
If you stare at these long enough, massage them and roll them around,
(and remember that the hypotenuse is always positive in the circle), it
eventually dawns on you that
adjacent = -5
opposite = 12
hypotenuse = 13
Draw the angle in the circle, and the end of it is in the second quadrant,
at (-5, 12) .
Answers
Answer:IQ score≈119.7225
Step-by-step explanation:
To find the IQ score that corresponds to the 90th percentile in a normal distribution with a mean of 100 and a standard deviation of 15, you can use the cumulative distribution function (CDF) of the normal distribution. The CDF gives the probability that a random variable (in this case, IQ) is less than or equal to a specific value.
The formula to find the z-score (standard score) corresponding to a given percentile is:
�
=
invNorm
(
�
)
z=invNorm(p)
Where
�
p is the desired percentile expressed as a decimal (90th percentile would be
�
=
0.90
p=0.90), and
invNorm
invNorm is the inverse normal distribution function.
Then, you can use the z-score to find the IQ score using the formula:
IQ score
=
mean
+
�
×
standard deviation
IQ score=mean+z×standard deviation
Plugging in the given values:
Mean (
mean
mean) = 100
Standard deviation (
standard deviation
standard deviation) = 15
Percentile (
�
p) = 0.90
First, find the z-score:
�
=
invNorm
(
0.90
)
z=invNorm(0.90)
You can use a standard normal distribution table, calculator, or software to find the z-score. For a 90th percentile,
�
≈
1.28155
z≈1.28155.
Now, plug the z-score into the IQ score formula:
IQ score
=
100
+
1.28155
×
15
IQ score=100+1.28155×15
IQ score
≈
119.7225
IQ score≈119.7225
Rounding to the nearest whole number, an IQ score of approximately 120 would place you in the 90th percentile.
Final answer:
To be in the 90th percentile, you would need an IQ score of approximately 119.2.
Explanation:
To find the IQ score corresponding to the 90th percentile, we can use the standard normal distribution table or a calculator. Since the IQ distribution is normally distributed with a mean of 100 and a standard deviation of 15, we can convert the given information into a standard normal distribution by using the formula:
Z = (X - μ) / σ
where Z is the standard score, X is the IQ score, μ is the mean, and σ is the standard deviation.
Since we want to find the IQ score for the 90th percentile, we need to find the Z-score that corresponds to the 90th percentile. From the standard normal distribution table, we find that the Z-score for the 90th percentile is approximately 1.28.
Now, we can solve for X (the IQ score) using the formula:
Z = (X - μ) / σ
Substituting the values, we have:
1.28 = (X - 100) / 15
Solving for X, we get:
X = 1.28 * 15 + 100
Therefore, to be in the 90th percentile, you would need an IQ score of approximately 119.2.
Learn more about calculating iq for a given percentile here:
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12^12
12^4
1^12
1^4
Answers
Substitute in such that:
Answer:
Quotient property of exponents:
Substitute - such that:
Step-by-step explanation:
Answers
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.
Final answer:
An equilateral triangle is a unique triangle that cannot be rearranged into a different size or shape.
Explanation:
In mathematics, a unique triangle refers to a triangle that is distinguishable from other triangles based on its side lengths and angle measures. One such triangle is an equilateral triangle. An equilateral triangle has all three sides of equal length and all three angles of equal measure.
An equilateraltriangle is unique because it cannot be rearranged into a different size or shape. No matter how you rotate or flip the triangle, it will always have the same side lengths and angle measures. Therefore, an equilateral triangle is a unique triangle that cannot be rearranged into a different size or shape.
Learn more about Equilateral triangle here:
#SPJ3