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Bingel [31]
3 years ago
12

here are five rods a-1 a a a a+3 all measurements are in cm the total length of the five rods is l cm find a formula for l in te

rms of a write your formula as simply as possible
Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

I=5a+2 (simplified form)


Step-by-step explanation:

I is the total length of all the 5 rods.

Each of the 5 parts lengths are (a-1), a, a, a, (a+3), respectively.


<em>We add all of them and equate it to I:</em>

I=(a-1)+a+a+a+(a+3)

<em>Simplifying this, we take like terms and add:</em>

<em>I=(a-1)+a+a+a+(a+3)\\I=5a-1+3\\I=5a+2</em>


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You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the
il63 [147K]

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that n = 2809, \pi = \frac{1634}{2809} = 0.5817

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

6 0
3 years ago
Ify is 6 when x is 3 and y varies directly with x, find y when x is 8.
Contact [7]
Y would be 16,

y=kx
6=3k
2=k
y=2(8)
y=16
4 0
3 years ago
Find the value of 2 devide3times16​
Nikolay [14]

Answer:

32/3

Step-by-step explanation:

6 0
3 years ago
MATCH THE number WITH ITS OPPOSITE
ycow [4]

To match the number with the opposite, we are flipping the sign. If the sign is originally a negative, it would become a positive, and vice versa.

Term: 3.2 Match (Opposite): B) - 3.2

Term: -2.3 Match (Opposite): D) 2.3

Term: -1.5 Match (Opposite): C) 1.5

Term: 5.1 Match (Opposite): A) -5.1

~

6 0
3 years ago
You work 4 hours on Saturday and 8 hours on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per hour?
Marina86 [1]
To find the hourly rate, we would first need to take the total earnings and subtract the bonus. $164 - $50 = 114 This gives us the total money earned for hourly work. Then we need to add the total hours worked: 4 + 8 = 12. Lastly, we need to take the total money earned and divide it by the total hours worked: 114 / 12 = 9.50 or $9.50 per hour. The equation could look like: 4h + 8h + $50 = $165
3 0
3 years ago
Read 2 more answers
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