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dimulka [17.4K]
3 years ago
5

Antonio completed the right column of the table to help him find the sum of 2/ and 1/5.

Mathematics
1 answer:
Reika [66]3 years ago
5 0

Answer:

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Step-by-step explanation:

In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.

The given fractions are:

\frac{2}{9}\ and\ \frac{1}{5}

The common denominator is the number which is the multiple off denominators of both fractions involved.

Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.

The correct method is:

\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}

Hence,

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

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6 0
3 years ago
Which graph represents the piece wise- defined function f(x) =​
Vanyuwa [196]

Answer:

<h2>The fourth graph, from left to right, is the correct answer.</h2>

Step-by-step explanation:

The given piecewise function is

f(x)=\left \{ {{-x+4 \ ; \ 0\leq x

Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.

<em>So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.</em>

<em />

Therefore, the fourth graph, from left to right, is the correct answer.

7 0
3 years ago
Read 2 more answers
Estella buys 1.8 pounds if walnuts for a total if $5.04 she solves the equation 1.8p=5.04 to find the price p in dollars of one
Drupady [299]

Answer: $2.08

Step-by-step explanation:

5.04 divided by 1.08 is 2.08.

8 0
3 years ago
When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval
Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

\alpha = 1-99%

  =1-0.99

  =0.01

then,

\frac{\alpha}{2} =\frac{0.01}{2}

  =0.005

or,

Z_{\frac{\alpha}{2} }=Z_{0.005}

     =2.576

Now,

The point estimate will be:

⇒  \hat{P}=\frac{x}{n}

⇒      =\frac{110}{343}

⇒      =0.321

or,

⇒  1-\hat{P}=1-0.321

⇒            =0.679

The margin of error will be:

⇒  E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )

On substituting the above values, we get

⇒      =2.576\times \sqrt{\frac{0.321\times 0.679}{343} }

⇒      =2.576\times \sqrt{\frac{0.217959}{343} }

⇒      =0.065

hence,

⇒  \hat{P}-E

⇒  0.321-0.065

⇒  0.256,0.386

6 0
3 years ago
PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP​
ludmilkaskok [199]

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

6 0
2 years ago
Read 2 more answers
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