The regression equation based on the information given about the sugar contents will be 0.18x - 20.84.
<h3>How to explain the regression?</h3>
It should be noted that from the information, the accompanying data are the caloric contents and the sugar contents of 11 high-fiber breakfast cereals.
The sugar content will be:
a. 160 calories
= 0.18x - 20.84.
= 0.18(160) - 20.84
= 7.96
b. 90 calories
= 0.18x - 20.84.
= 0.18(90) - 20.84
= -4.64
c. 175 calories
= 0.18x - 20.84.
= 0.18(175) - 20.84
= 10.66
d. 208 calories
= 0.18x - 20.84.
= 0.18(208) - 20.84
= 16.6
Therefore, the sugar contents is illustrated above.
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The statements that are rue for <span>all invertible n×n matrices A and B are:
</span><span>(A+B)(A−B)=A^2−B^2
</span>and
<span>(ABA^−1)^4=AB^4A^−1
</span>From the above results we can conclude that the correct options among all the options that are given in the question are option "B" and option "E". I hope the answer helps you.
Answer:
Step-by-step explanation:
I hope I did this right:
So first thing to do is set up the equation.
Next thing to to is subtract 1/3 from both sides to get:
Next up, you will multiply each of the fractions by the opposing value
(multiply 1/8 by 3 and 1/3 by 8)
Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.
K = 
Finally, you subtract 123 over 24 by 8 over 24.
K = 
Then just simplfy the 115/24 to get
Answer:Since the vehicles are travelling in the exact opposite direction, the sum of their rates is the rate at which they are separating. 48 + 64 = 112 miles per hour of separation.
728 miles ÷ 112 miles/hour = 6.5 hours
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.
The store keeps an inventory of 80 shovels, then
x+y+z=80
The store always buy twice as many spade shovels as square, so
x=2z
The total cost of all shovels is
16x+9.60y+12.80z=1,072
a) The system of three equations is
b) In matrix form this is
c) The determinant is
d) Find three determinants:
So,
e) If the store doubled all prices and inventory, then the new matrix is
