A^2+b^2=c^2
Is the Pythagorean theorem
We can solve with a system of equations, and use c for the amount of cans of soup and f for the amount of frozen dinners.
The first equation will represent the amount of sodium. We know the (sodium in one can times the number of cans) plus (sodium in one frozen dinner times the number of dinners) is the expression for the total sodium. We also know the total sodium is 4450, so:
250c + 550f = 4450
The second equation is to find how many of each item are purchased:
c + f = 13
Solve for c in the second equation:
c = 13 - f
Plug this in for c in the first equation:
250(13-f) + 550f = 4450
3250 - 250f + 550f = 4450
300f = 1200
f = 4
Now plug the value for f into the second equation:
c + 4 = 13
c = 9
The answer is 9 cans of soups and 4 frozen dinners.
Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08
The null and alternate hypothesis are:
We use one-tailed z test to perform this hypothesis.
Formula:
Now, 
Since,
We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.
6r × s × 4rt = (6 × 4)(r × r)(st) = 24r²st
Answer:
(x-3)(x-5)
Step-by-step explanation:
X^2-8x+15
Break the expression into groups
(x^2-3x)+(-5x+15)
Factor out x from x^2-3x
Factor out -5 from -5x+15: -5(x-3)
=x(x-3)-5(x-3)
Factor out common term x-3
=(x-3)(x-5)
Thanks for letting me help!!
