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Wewaii [24]
3 years ago
11

An old rectangular tank with length 0.3 m could hold 154 L of water. A new similar tank has a length of 1.5 m. What is the capac

ity of the new tank?
Mathematics
2 answers:
dimaraw [331]3 years ago
6 0
The length of the new tank is 5 times bigger than the old one, so 154×5=770. As a result, the capacity of the new tank is 770L. Hope it help!
zimovet [89]3 years ago
5 0
You can use a proportion for this problem.  First, always make sure that the units are the same in both scenarios.  Then you can set up the proportion: (given m of old tank)/(given L of old tank)=(given m of new tank)/x   Let x represent the L in the new tank.  Then cross multiply to solve the proportion.
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The perimeter of the kitchen is 528 inches if the width of the kitchen is 120 inches what is the length of the kitchen
butalik [34]

Answer: 144 inches.


Step-by-step explanation:

1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:

P=2l+2w

Where l is the lenght and w is the width.

2. You know the perimeter and the width, then you can solve for the length, as following:

P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in



7 0
2 years ago
What is 28 divided by 3.2 ?? Please include steps :(
expeople1 [14]

thats the answer just look at the picture :)

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8 0
3 years ago
Marisa has 24 quarters to play games at a carnival. She only wants to play Ring Toss and Knock Down the Clown. If each game cost
KATRIN_1 [288]

Answer:

12 different ways

Step-by-step explanation:

1 to 23

2 to 22

3 to 21

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4 0
3 years ago
Personal finance 9.2
zzz [600]

Answer:

nice!

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3 0
2 years ago
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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 the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

Z = \frac{X - \mu}{s}

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0
3 years ago
Read 2 more answers
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