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3 years ago

What is the first step to finding the sum of 2/7 & 1/4 without a calculator?

Mathematics

1 answer:

Illusion [34]3 years ago

8 0

Answer:

first get a common denominator by multiplying 7 and 4 to get 28

28 is our common denominator here.

Step-by-step explanation:

We want to add the fractions 2/7 and 1/4

(2/7) * (4/4) and (1/4) * (7/7)

(2/7) * (4/4) + (1/4) * (7/7) = 8/28 + 7/28 = 15/28

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Find all solutions of the equation in the interval [0, 2π). (enter your answers as a comma-separated list. if there is no soluti

lawyer [7]

0, π/2, π, 3π/2
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4 years ago

Is the ratio 4.2:1.5 proportional to the rational 12.6:4.5

VARVARA [1.3K]

Answer:

YES

Step-by-step explanation:

cause 12.6 / 4.5 = 2.8

and 4.2 / 1.5 = 2.8

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3 years ago

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand

Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

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.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

$\mu_G = 15$

$s_G = \frac{4.2}{\sqrt{35}} = 0.71$

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

$\mu_E = 13.4$

$s_E = \frac{3.7}{\sqrt{40}} = 0.585$

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

$\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6$

Standard deviation:

$s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92$

So the correct answer is given by option b.

8 0

3 years ago

Find the area of each triangle.<br> 1.) Show your work.

WARRIOR [948]

Answer:

Step-by-step explanation:

The base of a triangle 6

The height of the triangle 8

The face of a triangle=(6*8)/2

(6*8)/2=24

4 0

2 years ago

there are 103 students eating lunch in the cafeteria. each table seats 4 students. all the tables are full except for 1 table. h

natta225 [31]

4*25= 100. There are 26 tables. At each of the 25 tables 4 people are sitting. Which means 100 people are sitting in complete tables of 4 people. That means that at the 26th table 3 people are sitting. 103-100= 3. Hope that helps. :)

6 0

3 years ago

Read 2 more answers