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3 years ago

Which of the following ordered pairs are solutions to the system of

Mathematics

1 answer:

lawyer [7]3 years ago

3 0

Answer:

A,C, F

Step-by-step explanation:

y> 7 so,

eliminating B,D and E

now, for A, 2×1 < 9

for C, 2×-1<10

for F, 2× 17< 59

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It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can pl

melomori [17]

Answer:

The smallest sample size to satisfy the conditions is n=500.

Step-by-step explanation:

The condition for performing the inference related to the sample size is that, for all the categories, the expected success and failures in the sample are at least 10:

$np\geq10\\\\n(1-p)\geq10$

The largest sample size required will be for the minimum p or (1-p).

This happens to be the proportion that can play other instruments: 2%.

Then, we can calculate the minimum sample size as:

$np\geq10\\\\n(0.02)\geq10\\\\n\geq(10/0.02)\\\\n\geq500$

6 0

3 years ago

Find the midpoint of (1-k,-4) (2,k+1)

satela [25.4K]

The midpoint is k-3/ 1-k

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4 years ago

Find the measure of angle x in the figure below: A. 95 B. 55 C. 30 D. 85

jenyasd209 [6]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents

lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720$

$\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324$

$\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200$

$\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540$

$\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900$

And the slope would be:

$m=-\frac{1900}{6000}=-0.317$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60$

$\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27$

And we can find the intercept using this:

$b=\bar y -m \bar x=27-(-0.317*60)=46.02$

So the line would be given by:

$y=-0.317 x +46.02$

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0

4 years ago

Help again for the last time ;-;

lys-0071 [83]

Answer:

1) Star: (-5,9) 2) Lightning (0,8)

3) Circle: (4,-7) 4) Heart (-3,-8)

5) Cross (6,9) 6) Triangle (0,6)

7) Moon (-4,9) 8) Square (-4,6)

9) Diamond (-1,-4) 10) Music Note (8,1)

Step-by-step explanation:

The way that I solved this was I first set up (x,y). You must find the placement of the x-axis or the horizontal line. Then you find the 7-axis or the vertical line. For example, with the star, the shape is 5 to the left which is -5 and then goes 9 lines upward.

7 0

3 years ago