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3 years ago

Solve : |3x-1/2| < 1 1/2

Mathematics

1 answer:

zysi [14]3 years ago

3 0

Answer:

\:0<x<\frac{1}{3}\:

Step-by-step explanation:

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Which expression are differences of squares <br> Select each correct answer

Gennadij [26K]

Answer:

options are 3 and 4

Step-by-step explanation:

The difference of squares is defined as In option 1,

It can be written as

It is the sum of squares, therefore the option 1 is incorrect.

In option 2,

The number 40 is not a complete square of any number, therefore option 2 is incorrect.

In option 3,

It can be rewritten as

It is the difference of squares, therefore option 3 is correct.

In option 4,

It can be rewritten as

It is the difference of squares, therefore option 4 is correct.

have a good Day!

4 0

2 years ago

A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so

otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

$\hat{p}=\dfrac{25}{123}\approx0.203252$

Critical value for 95% confidence interval : $z_{\alpha/2}=1.96$

Confidence interval for population :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}$

$0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)$

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0

3 years ago

Combine like terms in the expression below.<br> 4x+4.44xy+22y+32y−19x+9.94

adoni [48]

Add the whole numbers, including the decimals, then the variables like y and x.

5 0

3 years ago

Read 2 more answers

Draw a line through all points with a y-coordinate of -3.

Sedbober [7]

Answer:

See image below

Step-by-step explanation:

We want to draw a line through all points with a y-coordinate of -3; first let's observe some of these points: (-3,-3), (0,-3), (1,-3), (10,-3) are all part of this line.

We can see that what all these points have in common are that they have -3 in the y axis. Therefore, the graph of the line would be y = -3

This line is drawn in the graph below.

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3 years ago

Ms. Mary picks up Ed from art class every 3rd day and Mary from music class every 5th day. What is the first day MS. Mary will n

Ira Lisetskai [31]

The 15th day because 3x5=15 5x3=15

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3 years ago

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