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3 years ago

Given a slope of 1/2 and a y-intercept of -4. What is the equation of the line in slope intercept form?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

Answer:y=\frac{1}{2} x-4

Step-by-step explanation:

Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.

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dybincka [34]

Add the ratios together: 3+7=10. The ratio means that there are 3/10×40=12 orange seashells and 7/10×40=28 pink seashells.

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3 years ago

Write an equation which models this situation.

MA_775_DIABLO [31]

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3 years ago

Your grandparents bring you a 1:800 scale model of the Eiffel Tower after a trip to Paris. The height of the model is 40.5 centi

Sergio [31]

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3 years ago

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A researcher wanted to see if giving a selective serotonin reuptake inhibitor (anti-depressant) would decrease the number of sel

Delvig [45]

Answer:

a. The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

b. z=-1.6

c. SEM = 2.212

Step-by-step explanation:

The mean of the sample is M=35.

The variance of the sample is s^2=39.125.

The standard deviation of the sample is s=6.255.

Sample mean

$M=\dfrac{1}{8}\sum_{i=1}^{8}(27+25+32+40+43+37+35+38)\\\\\\ M=\dfrac{277}{8}=35$

Sample variance and standard deviation

$s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\$

$s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\ s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255$

b. If the population mean is 45, the z-score for M=35 would be:

$z=\dfrac{M-\mu}{\sigma}=\dfrac{35-45}{6.255}=\dfrac{-10}{6.255}=-1.6$

c. The standard error of the mean (SEM) of this group is calculated as:

$SEM=\dfrac{s}{\sqrt{n}}=\dfrac{6.255}{\sqrt{8}}=\dfrac{6.255}{2.828}=2.212$

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3 years ago

How do you measure angles like these? pls help I have a test and I don't understand

earnstyle [38]

Answer:

120°

Step-by-step explanation:

To find angle BCD, we need to spot that the angle is on a straight line (ACD); angles on a straight line add up to 180°. This means we can find the missing angle by doing 180 - 60 which is 120°.

Hope this helps!

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3 years ago

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