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Eduardwww [97]
3 years ago
7

Sarah is cutting a ribbon for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1000 ribbons what is

the length of the ribbon Sarah needs?
Mathematics
1 answer:
san4es73 [151]3 years ago
8 0
3,680
hope this helped :)
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Expanding log functions<br> ㏒3 (3(x+1)(x+2))
Oksanka [162]
Log(ab)=log(a)+log(b)
log_a(a)=1
so

log_3(3(x+1)(x+2))=log_3(3)+log_3(x+1)+log(x+2)=1+log_3(x+1)+log_3(x+2)
6 0
3 years ago
Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a
rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that \sigma = 2

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when M = 0.5. So

M = z\frac{\sigma}{\sqrt{n}}

0.5 = 1.96\frac{2}{\sqrt{n}}

0.5\sqrt{n} = 2*1.96

Dividing both sides by 0.5

\sqrt{n} = 4*1.96

(\sqrt{n})^2 = (4*1.96)^2

n = 61.5

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0
3 years ago
I have to find the area of a trapezoid using the formula A= 1/2 (b1 + b2) (h)
DedPeter [7]

Answer:

190

Step-by-step explanation:

1/2(6+13)(5)

6+ 13 = 19*5 = 95

95/ 1/2= 190

7 0
3 years ago
Plz help plz help me
borishaifa [10]

Answer:

6384

Step-by-step explanation:

multiply 48, 16, and 7

6 0
3 years ago
Read 2 more answers
A jar contains nickles and pennies. There are 56 coins in the jar in all. The total value the total value of the coins are $1.52
timofeeve [1]
<span>Let the number of nickles be x Let the number of pennies be y Value Value Type Number of of of of EACH ALL coin coins coin coins ------------------------------------------- nickles x $0.05 $0.05x pennies y $0.01 $0.01y ------------------------------------------- TOTALS 56 ----- $1.52 The first equation comes from the second column.</span>
6 0
3 years ago
Read 2 more answers
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