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3 years ago

5

How do you find the intersection between 2 lines?

2 answers:

AlekseyPX3 years ago

6 0

Get the two equations for the lines into slope-intercept form. ...
Set the two equations for y equal to each other.
Solve for x. ...
Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

nexus9112 [7]3 years ago

3 0

Get the two equations for the lines into slope-intercept form. ... Set the two equations for y equal to each other. Solve for x. ... Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

Which of these is a unit of density?<br> km/m<br> kg/m?<br> kg/m<br> kg/m

Zielflug [23.3K]

Answer: Kg/m³

Step-by-step explanation: Mass/ Volume

5 0

3 years ago

Read 2 more answers

Which expression shows 36 as a product of prime factors?

Lapatulllka [165]

Answer:

This is ur answer

HAVE A NICE DAY

4 0

3 years ago

What is the solution to 15 = d - 1 ?

Fofino [41]

Answer:

d = 16

Step-by-step explanation:

15 = d-1

Add 1 to each side

15 +1 =d-1+1

16 =d

8 0

3 years ago

Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe

motikmotik

Answer:

12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

Distance = 20 km
Time difference = 20 min = 1/3 hr
Speed difference = 2 km/h

<u>As per above info we get following equations:</u>

s = d + 2
20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

60d + d(d + 2) = 60(d + 2)
60d + d² + 2d = 60d + 120
d² + 2d = 120
d² + 2d + 1 = 121
(d + 1)² = 11²
d + 1 = 11
d = 10

<u>Find s:</u>

s = 10 + 2 = 12

<u>The answer is</u>

Masha's speed 12 km/h and Dasha's speed 10 km/h

3 0

3 years ago