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belka [17]
3 years ago
13

Simplify the following ratios:

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0
A) 3:4
b) 2:7
c) 3.5
d) 2:3
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87

Step-by-step explanation:

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A recipe requires 31 cup of milk for each 41 cup of water. How
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here,

31 cup of milk require 41 cup of water.

1 cup of milk require 41/31 cup of water.

so, 41/31 cup of water is required for 1 cup of milk.

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The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the e
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It is the second graph.

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3 years ago
For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

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

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

-0.25*100=\frac{x-500}{100}*100

-25=x-500

-25+500=x-500+500

x=475

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
3 years ago
To make a specific orange color, a painter uses 14 of a can of red paint and 12 of a can of yellow paint. Fill in each statement
Otrada [13]

Answer:  For every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7} and

There are approximately 29 cans of yellow paints for 34 cans of red paints.

Step-by-step explanation:

Since we have given that

Number of cans of red paint = 14

Number of cans of yellow paint = 12

According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;

Since the ratio of red paint to yellow paint is given by

14:12\\\\7:6\\\\1:\frac{6}{7}

So, for every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7}

Similarly,

If Number of can of red paint is used = 34

So, Number of cans of yellow paint will be

\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.

3 0
3 years ago
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