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3 years ago

Match each simplified fraction on the left with an equivalent rate on the right.

Mathematics

1 answer:

Alik [6]3 years ago

4 0

Answer:

2/65 = 4 teachers for 130

3/100 = 9 teachers for 300

2/55 = 8 teachers for 220

3/85 = 6 teachers for 170

Step-by-step explanation:

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A population of 1200 leopards decreases by 12% per year. How many leopards will there be in the population after 6 years? Round

frez [133]

12% of 1200 is 144, so subtract that. you get 1056. 12% of that is 126.72, so you subtract that. you get 929.28. 12% of that is 111.5136 and you subtract that. and so on and so forth. the answer would be 557.

3 0

2 years ago

What is the answer to this?

nekit [7.7K]

Answer:

Step-by-step explanation:

Y= 1x^2 + 3x + 9

Y= Ax^2 + Bx + C

To determine which way a parabola opens just look at the coefficient (the number) of the x^2 - Always use the coefficient that is beside the x^2

So, if the coefficient A is positive the parabola is opening upward

if the coefficient A is negative the parabola is opening downward

7 0

2 years ago

Read 2 more answers

What is 14/15 over 4/7 equal to

Aneli [31]

Answer:

$\frac{0.93}{0.57}$

Step-by-step explanation:

Simplify both of the fractions so $\frac{14}{15}$ to get 0.93 and $\frac{4}{7}$ to get 0.57.

Then you put them back into fraction form.

5 0

2 years ago

Lacie wants to paint her bedroom walls. She gas to cover 1,165.5 square feet. About how many gallons of paint will she need? Gal

DanielleElmas [232]

Answer:

1. 4.66 gallons 2. 2.33 gallons 3. 1.55 gallons

Step-by-step explanation:

1. If her gallons cover is 250 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is

1,165.5/250 = 4.66 gallons

2. If her gallons cover is 500 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is

1,165.5/500 = 2.33 gallons

3. If her gallons cover is 750 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is

1,165.5/750 = 1.55 gallons

4 0

3 years ago

Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample

fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$