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g100num [7]
3 years ago
6

There are 1800 gym members in total, 3/4 are aged 25-59, 1/5 are over 60 and the remainder are under 25, how many members are un

der 25years
Mathematics
1 answer:
siniylev [52]3 years ago
8 0
If x is the number of members under 25, then we have

1800=\dfrac34\cdot1800+\dfrac15\cdot1800+x\implies x=90
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What’s the length of the segments variable expressions ??
maxonik [38]

Answer:

EF=9\ units

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

so In this problem

EF=\frac{1}{2}[AD+BC]

substitute the given values

x=\frac{1}{2}[(x-6)+(2x-3)]

x=\frac{1}{2}[3x-9]

2x=(3x-9)\\3x-2x=9\\x=9

so

AD=x-6=9-6=3\ units

EF=x=9\ units

BC=2x-3=2(9)-3=15\ units

4 0
3 years ago
A survey found that the American family generates an average of 17.2 pounds of glass garbage trash each year. Assume the standar
SIZIF [17.4K]

Answer: 0.8137

Step-by-step explanation:

As per given , we have

\mu= 17.2\ ,\ \sigma=2.5

Sample size : n= 47

Let \overline{X} be the sample mean o.

Then, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds will be :

P(16.6

=P(-1.645

[∵ z= \dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]

=P(z

=0.8636793-(1- 0.9500151)  [By using p-value calculator]

=0.8636793-0.0499849=0.8136944\approx0.8137

Hence, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds= 0.8137

6 0
4 years ago
Find the dimensions of a rectangular piece of property that has a perimeter of 610 feet if the length is twenty feet more than t
crimeas [40]
ALGEBRA M8 SOZ

Length = L, Width = W

L = 20 + 2W,
2L + 2W = 610.

then u gotta do some inspiring expression-algebra-maths stuff to work it out :)
3 0
3 years ago
Can someone help me wit this :)
swat32
= -1/8x^5 + 8x^4 + x^2 + 3x - 7
8 0
3 years ago
Please help need done fast!
gladu [14]
B 3 paper per min hope this helps
8 0
3 years ago
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