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4vir4ik [10]
2 years ago
7

Joan is filling a 2-liter soda bottle with different colors of sand to make an art project for her class. She has 1,000 millilit

ers of
red sand, 35 centiliters of blue sand, and 2,5 deciliters of yellow sand in the bottle, but it is not full yet. How many liters of
purple sand will she need to use to have the bottle completely full?
Mathematics
1 answer:
Marrrta [24]2 years ago
6 0

Answer:

0.4 l of purple sand

Step-by-step explanation:

<u>Volume to be filled in:</u>

  • 2 liter = 2000 ml

<u>Red sand</u>

  • 1000 ml

<u>Blue sand</u>

  • 35 centiliters = 35*10 ml = 350 ml

<u>Yellow sand</u>

  • 2.5 deciliters = 2.5*100 ml = 250 ml

<u>Total volume filled:</u>

  • 1000 + 350 + 250 = 1600 ml

<u>Purple sand needed:</u>

  • 2000 - 1600 = 400 ml = 0.4 l

<u>Answer is</u> 0.4 l of purple sand required

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Answer: Option A

Step-by-step explanation:

A function is one to one if every element in the range (y) has only one value in the domain (x) associated to it, while a function is many to one if some values in the range (y) have more than one element in the domain (x) associated.

In this function, we can see that the function is almost linear and always increases and it is easy to see that each value of y has only one value of x associated (because the line will always increase) the correct option is A.

8 0
2 years ago
The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are
n200080 [17]

Answer:

Z_{H_0}= -1.85

Step-by-step explanation:

Hello!

The high school dropout rate, as a percentage of 16- through 24- year-olds who are not enrolled in school and have not earned a high school credential was is 2009 8.1%.

To thest the claim that this percentage has decreased, a polling company takes a random sample of 1000 people between the ages of 16 and 24 and finds out that 6.5% of them are highschool dropouts.

The study variable is

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The parameter of interest is the proportion fo highschool dropouts p

And the sample proportion is p'= 0.065

The hypotheses are:

H₀: p ≥ 0.081

H₁: p < 0.081

To study the population proportion, you have to approximate the distribution of the sampling proportion to normal applying the Central Limit Theorem, then the statistic to use is an approximate standard normal:

Z_{H_0}= \frac{(p'-p)}{\sqrt{\frac{p*(1-p)}{n} } } = \frac{0.065-0.081}{\sqrt{\frac{0.081*0.919}{1000} } } = -1.85

I hope this helps!

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2 years ago
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Kipish [7]

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Step-by-step explanation:

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x2-36=5x

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subtract 5x from both sides

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-60=-60

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