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sladkih [1.3K]
4 years ago
7

a recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, 1 cup of sugar, and 2 cups of chocolate chips.

how much of each ingredient should be used for 2 dozen cookies. PLEASE SHOW YOUR WORK
Mathematics
1 answer:
Contact [7]4 years ago
7 0

Just divide the entire recipe by 3. Then multiply by 2.  2 cups flower, 2/3 cups sugar, 1 and 1/3 cup chocolate chips.

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?
Serggg [28]
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}

\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
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-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
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\cfrac{-105}{-21}=a_1\implies 5=a_1
7 0
3 years ago
if you know that 7×8=56 how can you use the commutative (order) property of multiplication to find the product of 8×7
laiz [17]
Commutative prop states that 7*8 = 8*7, so the property means that 8*7 = 56, just like 7*8
5 0
3 years ago
Read 2 more answers
The wheel on Ed's chair has a radius of 30 cm. If he travels 540π cm, the wheel will rotate _?_ times.
Bond [772]
So travel distance of a wheele
1 rotation distance=1 times circumverence so find circunference
circumfernec=2 times radius times pi
radius=30
30 times 2 time spi=60pi
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divide both sides by 60pi
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B is the answer
4 0
4 years ago
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If grapes are $1.60 per 1/2 pound, how many pounds can you buy for $64.00?
kondor19780726 [428]
$1.60 = 1/2 a pound
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8 0
3 years ago
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Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $1
Gnoma [55]

Answer:

Step-by-step explanation:

a. H0: μ ≤ 104 Ha: μ > 104

Assuming the data leads to the rejection of the null hypothesis, we would conclude that there is no sufficient statistical evidence to prove that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month.

b. The type error in this situation would be rejecting the null hypothesis when it is actually true. Rejecting the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it was actually true.

c. Type II error in this case would be failing to reject the null when it is false. Failing to reject the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it is actually not true.

The consequences for these errors might be disastrous including sueing of the accuser party etc.

8 0
3 years ago
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