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sertanlavr [38]
3 years ago
11

Wilson made punch from a recipe that called for 1 and 1/2 cups of orange juice and 3/4 Cup lemonade. Wilson used 2 and 1/4 cups

of orange juice and 1 and 1/8 of lemonade. How many batches of punch did he make?

Mathematics
1 answer:
ryzh [129]3 years ago
3 0
If you don't understand I am really sorry

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S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?
Veseljchak [2.6K]
S = n(a1 + an)/2
2S = n(a1 + an)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n
6 0
3 years ago
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PLEASE HELP!! FILL IN THE BLANK MATH QUESTION, ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER CAUSE MY GRADE DEPENDS ON IT
vagabundo [1.1K]
First blank: sin. C = h/a
The ratio for sin. is opposite (the height) over hypotenuse (a).

Second blank: Area = (1/2)b(a sin. C)
In this substitution, we are substituting the value of h into the traditional area of a triangle formula.

Third Blank: Area = (1/2)ab(sin C)
We are using the commutative property to move the position of a. 
Hope this helps and good luck in your classes!
7 0
3 years ago
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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq
Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

s=16.6 represent the sample deviation

\bar X=12.8 represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

\alpha=1-0.99=0.01 represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448

12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0
3 years ago
Nine raised to the five-minus-two power?
bonufazy [111]

Answer:

1. 9 raised to the third power is 729

2. 4 raised the the power of 1 is 1

Step-by-step explanation:

9*9= 81*9=729

4*1=4

8 0
3 years ago
Nicole is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $1.50 per movie
xz_007 [3.2K]

Answer:

Plan B

Step-by-step explanation:

If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A

but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B

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