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3 years ago

Translate the sentence into an inequality.

Mathematics

1 answer:

Roman55 [17]3 years ago

8 0

Answer:

2(y-10) less/= -28

Step-by-step explanation:

2(y-10) less/= -28

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4. Find the value of x.

oksano4ka [1.4K]

Answer:

x = 50°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360°

360 - 40 - 80 - 110 = 130

130 is the measure of the quad that is adjacent to the angle of x° and is supplementary to that angle also.

Therefore, x = 180 - 130 = 50

7 0

3 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

First we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

Next we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

Can you help me with three questions? -2x + 3 -x + 4 -x - 19

Aleksandr-060686 [28]

-2x=-3

x=1.5

-x=-4

x=4

-x=19

x=-19

Hope this helps?

6 0

3 years ago

PLEASE HELP ! Which of the following expressions simplifies to a negative number? Select all that apply. (-1)(-1)(-1) (-1)(-1)

padilas [110]

Any with an odd number of minus signs.

Perhaps the 1st and 4th, if I read it right.

8 0

3 years ago

Read 2 more answers

In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 start fraction, 1, divided by, 10, end fraction times

MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples

9.304,

9.004

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as $\frac{1}{10} \times$ the digit 4 in 3.8463

That is

$\frac{1}{10} \times 0.04 = 0.004$

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0

3 years ago