To help with thinking about this, we can say that the 6 gallons of 50% acid contains 3 gallons of pure acid and 3 gallons of filler. This would make the concentration 3/6, or 50%. Adding a gallon of pure acid would shift the concentration to 4/7, or 57.1%.
When the relationship becomes 70%, four gallons of pure acid have been added.
3+4 7
—— = — = 70%
6+4 10
Answer:
I need to see the points. However the numbers:
-2, -3, -4 will work.
Step-by-step explanation:
Answer:
No, because the 95% confidence interval contains the hypothesized value of zero.
Step-by-step explanation:
Hello!
You have the information regarding two calcium supplements.
X₁: Calcium content of supplement 1
n₁= 12
X[bar]₁= 1000mg
S₁= 23 mg
X₂: Calcium content of supplement 2
n₂= 15
X[bar]₂= 1016mg
S₂= 24mg
It is known that X₁~N(μ₁; σ²₁), X₂~N(μ₂;δ²₂) and σ²₁=δ²₂=?
The claim is that both supplements have the same average calcium content:
H₀: μ₁ - μ₂ = 0
H₁: μ₁ - μ₂ ≠ 0
α: 0.05
The confidence level and significance level are to be complementary, so if 1 - α: 0.95 then α:0.05
since these are two independent samples from normal populations and the population variances are equal, you have to use a pooled variance t-test to construct the interval:
[(X[bar]₁-X[bar]₂) ±
*
]


[(1000-1016)±2.060*23.57*
]
[-34.80;2.80] mg
The 95% CI contains the value under the null hypothesis: "zero", so the decision is to not reject the null hypothesis. Then using a 5% significance level you can conclude that there is no difference between the average calcium content of supplements 1 and 2.
I hope it helps!
Answer:
see explanation
Step-by-step explanation:
Assuming you require to factorise the expressions
16
- 12
+ 4y ← factor out 4y from each term
= 4y(4
- 3y³ + 1)
--------------------------------
64ax² - 49ay² ← factor out a from each term
= a(64x² - 49y²) ← this is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
64x² - 49y²
= (8x)² - (7y)²
= (8x - 7y)(8x + 7y)
then
64ax² - 49ay² = a(8x - 7y)(8x + 7y)
To get the units needed, divide the given number of items needed shown in the above portion of table, with the package size given in the below portion. Then multiply with given prices. Round off the numbers to whole numbers.
Now, money needs to be spent in Quality Groceries-
=$ 168.40
Now, money needs to be spent in Fresh Market-

=$ 180.32
So, the answer is option B.