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I am Lyosha [343]
3 years ago
15

Camp Timberlake has 320 campers in its first summer session. The oldest 112 campers sleep in tents and the rest sleep in cabins.

The camp has 13 cabins and each cabin has beds for the same number of campers.
How many campers sleep in each cabin?
Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

320-112 = 208 sleep in cabins

208/13 = 16 sleep in each cabin

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Ulleksa [173]

Answer:

\dfrac{5x + 1}{6(x - 2)}

\dfrac{5x + 1}{6x - 12}

Step-by-step explanation:

Fatorizam-se os denominadores.

2x - 4 = 2(x - 2)

3x - 6 = 3(x - 2)

O minimo multiplo comum dos denominadores e

2(3)(x - 2)

\dfrac{x + 1}{2x - 4} + \dfrac{x - 1}{3x - 6} =

= \dfrac{3(x + 1)}{2(3)(x - 2)} + \dfrac{2(x - 1)}{2(3)(x - 2)}

= \dfrac{3(x + 1) + 2(x - 1)}{6(x - 2)}

= \dfrac{3x + 3 + 2x - 2)}{6(x - 2)}

= \dfrac{5x + 1}{6(x - 2)}

= \dfrac{5x + 1}{6x - 12}

4 0
3 years ago
Which measure of center will provide the most accurate estimation of the deposits for the savings account? Why?
faust18 [17]
Hello,

First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.

Afterwards you have to find the median. Why ?

I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.

"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?

Therefore the median is the most suitable and the most accurate to know the center because it is robust.

Now, let's find the median :

There are 10 values, so the median will be the average of the 5th and 6th values.

5th value = 85
6th value = 95

\frac{(85+95)}{2}
= 90

Therefore the median is 90.

Hope this helps !

Photon
4 0
3 years ago
Why are some rational numbers not integers?
Mariana [72]

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

7 0
3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

n= 955 represent the sampel size slected

x = 812 number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

The confidence interval for the proportion  would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 90% confidence interval the significance is \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution and we got.

z_{\alpha/2}=1.64

And replacing into the confidence interval formula we got:

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

8 0
3 years ago
2+2 pls help btw 4 .....
Vsevolod [243]

Answer:

is it 22.

Step-by-step explanation:

is it?

5 0
3 years ago
Read 2 more answers
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