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Elden [556K]
2 years ago
6

Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece o

f string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)
How long is Juan's piece of string?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Mathematics
1 answer:
topjm [15]2 years ago
8 0

Answer:

2 5/8 inches

Step-by-step explanation:

There are 2 pieces 5 3/4 inches long.

There is 1 piece 5 1/2 inches long.

There are 4 pieces 5 1/4 inches long.

The seventh longest piece is one of the pieces measuring 5 1/4 inches.

Juan's piece is 1/2 as long as 5 1/4 inches.

1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches

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Solve the equation x2 - 6x – 41 = 0 to the nearest tenth.
REY [17]
Ok I did some work on this and I got 10.071 and we rounded this to the nearest 10 we would get 10

Tell me if this right
8 0
3 years ago
Read 2 more answers
What is the exponent on 10 when you write 41,200 in scientific notation?
swat32

Answer:

412^10

Step-by-step explanation:

^^^^^^^^^^^^^^^^^

7 0
3 years ago
A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal,
eduard

Answer:

a) Sample size = 822

b) Margin of error = 0.03407          

Step-by-step explanation:

We are given the following in the question:

p = 74% = 0.74

a) Sample size is required to obtain margin of error of 0.03

Formula:

\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.03 = 1.96\times \sqrt{\dfrac{0.74(1-0.74)}{n}}\\\\n = (\dfrac{1.96}{0.03})^2(0.74)(1-0.74)\\\\n = 821.24 \approx 822

Thus, the sample size must be approximately 822  to obtain a 95% confidence interval with an approximate margin of error of 0.03

b) Margin of error for the 95% confidence interval

p = 54% = 0.54

Formula:

\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

\text{Margin of error} = 1.96\times \sqrt{\dfrac{0.54(1-0.54)}{822}}\\\\=0.03407

The margin of error now will be 0.03407.

5 0
4 years ago
If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156I
lisabon 2012 [21]

Answer:

<em>B. 86 degrees</em>

Step-by-step explanation:

Given the following angles

m∠NOP = 24

m∠NOQ = 110

Required

m∠POQ

The following addition postulate is true for the angles

m∠NOQ = m∠NOP + m∠POQ

m∠POQ = m∠NOQ -m∠NOP

Substitute the angles given into the formula:

m∠POQ  = 110 - 24

m∠POQ  = 86°

<em>Hence the measure of angle POQ is 86 degrees</em>

8 0
3 years ago
PLEASE HELP AND KNOW YOU ARE CORRECT BEFORE ANSWERING PLEASE AND THANK YOU.
swat32

Answer:

Both are false

Step-by-step explanation:

B is 3 units below P

After dilation B' will be 5 units below P so cannot be on the same horizontal line.

similarly segment CD is 3 units long,

After dilation segment C'D' will be 5 units long so is not equal to segment CD.

8 0
3 years ago
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