Hey!
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Solution:
I would assume that the iron intake is combined between breakfast and lunch. So 8.25mg is too meals worth of iron. So all we have to do is subtract.
15 - 8.25 = 6.75
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Answer:
6.75mg are still needed for his daily intake.
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Hope This Helped! Good Luck!
Answer:
15.87% of blue whales eat more than 5,850 pounds of fish
Step-by-step explanation:
Mean = 5000
Standard Deviation = 850
We need to find P(x>5850) = ?
We can find using z-score
z = x - mean/ standard deviation
z = 5850 - 5000/850
z = 850/850
z = 1
Now, P(x>5850) = P(z>1)
Finding value of P(z>1) by looking at the z-score table
P(z>1) = 0.8413
The normal distribution gives area to the left , so subtracting it from 1 to gain the answer
1-0.8413 = 0.1587
Now, to find percentage multiply it with 100
0.1587 * 100 = 15.87 %
15.87% of blue whales eat more than 5,850 pounds of fish
Answer: 6x^2-xy-y^2.
Tell me if you want step by step!!
Hope this helped. :)
Answer:
<em>The sum of the two solutions to the given equation is 1/3.</em>
Step-by-step explanation:
<u>Nature of Roots of a Second-Degree Equation</u>
Given a quadratic equation:
![ax^2 + bx + c = 0](https://tex.z-dn.net/?f=ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200)
The roots of the equation are:
![\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_1%3D%5Cfrac%7B-b%2B%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_2%3D%5Cfrac%7B-b-%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The sum of the roots is:
![\displaystyle x_1+x_2=-\frac{b}{a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_1%2Bx_2%3D-%5Cfrac%7Bb%7D%7Ba%7D)
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.
We are given the equation:
![3x^2 - x = 4](https://tex.z-dn.net/?f=3x%5E2%20-%20x%20%3D%204)
Rearranging:
![3x^2 - x - 4=0](https://tex.z-dn.net/?f=3x%5E2%20-%20x%20-%204%3D0)
The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:
![\displaystyle x_1+x_2=-\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_1%2Bx_2%3D-%5Cfrac%7B-1%7D%7B3%7D)
![\displaystyle x_1+x_2=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x_1%2Bx_2%3D%5Cfrac%7B1%7D%7B3%7D)
The sum of the two solutions to the given equation is 1/3.