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aev [14]
4 years ago
12

A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled

Mathematics
1 answer:
Mrac [35]4 years ago
6 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius=\frac{diameter}{2}\\
h=height\\
----------\\
diameter=1\frac{1}{2}\\\\
r=\cfrac{1\frac{1}{2}}{2}\\\\
h=2\frac{1}{2}
\end{cases}

so.. get the full volume of the cooler, by plugging in the given values

now, the cooler is only filled 3/4, how much is 3/4 of that? well, let's say you got a value V, 3/4 of that is , well \bf \cfrac{3}{4}\cdot  V
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A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal c
Lina20 [59]

Answer: 97.72%

Step-by-step explanation:

Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.

Let x be the random variable that represents the shoe sizees.

Also, The population mean = \mu=11 ; Standard deviation: \sigma=1.5

Formula for z:-

z=\dfrac{x-\mu}{\sigma}

Put x= 8, we get

z=\dfrac{8-11}{1.5}=-2

Now, the probability that the male shoe sizes are greater than 8 :-

P(x>8)=P(z>-2)=1-P(z\leq-2)\\\\=1-0.0227501=0.9772499\approx0.9772

Hence, the percent of male shoe sizes are greater than 8 is 97.72%.

7 0
3 years ago
Plz plz someone help me out with this
kvasek [131]

Answer:

option D

a_{1}=6561 and a_{n}=\frac{1}{3}a_{n-1}

Step-by-step explanation:

a_{3} = 729\\\\a_{4} = 243\\\\r = \frac{a_{4}}{a_{3}}\\\\r=\frac{243}{729}\\\\r=\frac{1}{3}

Recursive rule: Next term is obtained by multiplying (1/3) wiht the previous term

a_{n}=\frac{1}{3}*a_{n-1}

a_{3} = \frac{1}{3}*a_{2}\\\\\\729 = \frac{1}{3}*a_{2}\\\\\\729*3=a_{2}\\\\a_{2} = 2187\\\\\\

a_{2}=\frac{1}{3}*a_{1}\\\\\\2187=\frac{1}{3}*a_{1}\\\\\\2187*3=a_{1}\\\\a_{1}=6561

7 0
3 years ago
2.5x−x 3.8x 0.7x=0.54<br>solve for x
elena55 [62]

2.5x - x + 3.8x + 0.7x = 0.54


ANSWER=   X= 0.09


---Hope I Helped...Have A Wonderful Day...---


6 0
3 years ago
Let f(x)=2x-1 and g(x)=1/x. Find the value of f(g(7))
netineya [11]

Answer:

-5/7

Step-by-step explanation:

We need to find g(7) first

All we have to is plug 7 in the place of x

g(7) = 1/7

Now we have f(1/7) = 2x - 1

f(1/7) = 2(1/7) - 1

f(1/7) = 2/7 - 1

Don't forget about common denominators

2/7 - 7/7 = -5/7

3 0
3 years ago
2|y+3|-8=0<br> Solve the absolute value equation and enter the solution in set notation.
UNO [17]
2|y+ 3| = 8
|y+3| = 4

y = 1, 7 or -7

hope this helps
8 0
3 years ago
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