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lakkis [162]
3 years ago
12

Given: 11x-6y=-1; x=8

Mathematics
1 answer:
wolverine [178]3 years ago
5 0
To solve this, simply substiture 8 in for x, and solve for y.

11(8) -6y = -1

Multiply 11 by 8

88 - 6y = -1

Subtract 88 from each side of the equation.

-6y = -89

Lastly divide each side of the equation by -6

y = 89/6 is your answer.

Hope this helps!
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Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their
Andreas93 [3]

Answer:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

Step-by-step explanation:

Information given

X= 48 number of people who rent their home

n= 250 represent the sample size

\hat p =\frac{48}{250}= 0.192 represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.645

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

3 0
3 years ago
Arrange the following set of decimal numbers in order from smallest to largest.
Setler [38]

Answer:

Step-by-step explanation:

0.31=0.3100

0.409=0.4090

0.414=0.4140

0.4186

arranging smallest to largest

0.3100,0.4090,0.4140,0.4186

or 0.31,0.409,0.414,0.4186

6 0
3 years ago
PLEASE HELP 35 POINTS MATH
ICE Princess25 [194]

Answer:

31

Step-by-step explanation:

-4+16+19=31

5 0
1 year ago
Enter the coordinates of the point on the unit circle at the given angle. 150 degrees. please help!
Katarina [22]

Answer:

\boxed{(-\frac{\sqrt{3}}{2}, \frac{1}{2})}

Step-by-step explanation:

Method 1: Using a calculator <em>instead</em> of the unit circle

The unit circle gives coordinates pairs for the <em>cos</em> and <em>sin</em> values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).

Method 2: Using the unit circle

Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value (see attachment).

This coordinate pair is (-√3/2, 1/2).

Download pdf
8 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-2, 0) and has a slope of -2?​
liq [111]

Answer:

y=-2(x+2)

Step-by-step explanation:

plug in(-2,0) into y-y1=m(x-x1)

y=m(x+2)

slope =m=-2

y=-2(x+2)

8 0
3 years ago
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