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3 years ago

What is two and two fourths plus one third

Mathematics

1 answer:

kkurt [141]3 years ago

8 0

Answer:

2 5/6

Step-by-step explanation:

2 2/4 + 1/3

First, you have to make the bottoms of the fraction the same, by figuring out the lowest common denominator. In this case it would be 12. 4x3 = 12. 3x4 = 12.

Multiply the top number by the same number you multiplied the bottom by.

We multiplied the 4 by 3, so we would also multiply the 2 by 3 (which would be 6).

Do the same for the second fraction. 1x4 = 4.

Now we have 2 6/12 + 4/12. We add the top numbers together and we get 10/12.

Now we have to reduce the fractions. We can do this in this situation by just dividing the top and bottom numbers by 2.

2 5/6

You might be interested in

What is the range of the function f(x) = 3.2x for the domain {-4, -2, 0, 2, 4}?

arsen [322]

The range are all the possible solutions for y. Since the domain is given, these are all the possible x values. To find the range, we can simply substitute each of these x values to the given function f(x) = 3.2x.

Given the domain, we use this to find the range values,
Domain: {-4, -2, 0, 2, 4}
Range: {-12.8, -6.4, 0, 6.4, 12.8}

5 0

3 years ago

Look at the image below

Blizzard [7]

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.12 $19.93

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

$30*0.13=3.9$ $20*0.13=2.6$

Now we can find the final price for each number by adding the tax to the rounded price.

$30+3.9=33.9$ $20+2.6=22.6$

Hence, (A) 33.9, (B) 22.6

5 0

2 years ago

In Jan's library, she has 24 informational books. If 15% of the books are informational text, how many total books are in her li

tatyana61 [14]

Answer:

160 books

Step-by-step explanation:

To find the total amount of something, when given the percent and how much value the percent is, use this

$Total = \frac{Number*100}{Percent}$

This way we get:

$Total = \frac{24*100}{15} = \frac{2400}{15} = 160$

Hope this answer helped! :)

6 0

2 years ago

5) Two machines M1, M2 are used to manufacture resistors with a design

Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

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.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that $\mu = 1050, \sigma = 100$