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balandron [24]
2 years ago
14

An orchestra of 25 members bought tickets, at all different prices, to a concert, and the mean price paid was $82. A new musicia

n joined the orchestra and spent $90 on his ticket to the same concert. What is the new mean price paid when the new musician is included? Round to the nearest cent
Mathematics
1 answer:
pishuonlain [190]2 years ago
5 0
I I I jcuxucucucivvi I I I I obonobvo
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A chord of a circle is 66cm long, it is 56 cm from the center of the circle. What is the radius of the circle?
ser-zykov [4K]

Answer:

radius = 65 cm

Step-by-step explanation:

(See image attached for better comprehension)

To find the value of the radius, we just need to draw a triangle, where one side is half of the chord (the distance from the chord to the center creates a point that divides the chord in two equal segments), other side is the distance from the chord to the center, and the hypotenusa will be the radius.

So, using Pythagoras' theorem, we have that:

r^2 = 56^2 + 33^2

r^2 = 4225

r = 65 cm

4 0
2 years ago
In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

p = 0.82, n = 225.

So

\mu = 0.82

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

7 0
3 years ago
Read 2 more answers
What is the area of triangle GHJ
EastWind [94]
A = 1/2 bh = 1/2 (3)(4) = 12/2 = 6

answer is B. 6 square units
4 0
3 years ago
Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?
11Alexandr11 [23.1K]

Answer:

$1440

Step-by-step explanation:

First, find the unit rate by dividing 300 by 5, which equals 60. So, Kendra earns $60 in one day. Then, multiply 60 by 24, which equals 1440. So, Kendra makes $1440 in 24 days. Hope this helped!

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3 years ago
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Simplify the expression. <br><br> 6/7x - 8 - 4/7x - 8
shtirl [24]
The answer to this is - 2(56x-1)/ 7x
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3 years ago
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