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ziro4ka [17]
3 years ago
11

Please help I will mark brainlist if correct

Mathematics
1 answer:
love history [14]3 years ago
3 0
--------------------------------------------------------------------------
Equation
-------------------------------------------------------------------------- 
 y - 9  = -  \dfrac{1}{2} (x + 2)

--------------------------------------------------------------------------  
Rearrange the equation
-------------------------------------------------------------------------- 
y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1  + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8

--------------------------------------------------------------------------  
slope of the perpendicular line
-------------------------------------------------------------------------- 
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------  
Substitute slope into equation y = mx + c
--------------------------------------------------------------------------- 
y = 2x + c

---------------------------------------------------------------------------  
Find y-intercept
--------------------------------------------------------------------------- 
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------  
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------  
y = 2x + 4

----------------------------------------------------------------------------  
Answer: y = 2x + 4
----------------------------------------------------------------------------- 

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Write a paragraph comparing the two classes' semester grades. Be sure to compare the extremes, the quartiles, the medians, and t
Gnom [1K]

Answer:

Second class have higher marks and greater spread.

Step-by-step explanation:

First box plot  represents class first. From the first box plot, we get

\text{Minimum value }= 53,Q_1=62,Median=80,Q_3=86,\text{Maximum value }= 89

Range=Maximum-Minimum=89-53=36

IQR=Q_3-Q-1=86-62=24

Second box plot  represents class second. From the second box plot, we get

\text{Minimum value }= 56,Q_1=62,Median=74,Q_3=89,\text{Maximum value }= 96

Range=Maximum-Minimum=96-56=40

IQR=Q_3-Q-1=89-62=27

First class has greater minimum value, first quartile of both classes are same, second class has greater median, first class has greater third quartile and first class has greater maximum value. It means second class have higher marks but class first have less variation.

Second class has greater range and greater inter quartile range. It means data of second class has greater spread.

Therefore, second class have higher marks and greater spread.

3 0
2 years ago
You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t
miss Akunina [59]

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population  standard deviation is equal to 1.5

i.e. \sigma = 0.5

Confidence level = 99%

Since population std deviation is known, we can use Z critical value for finding margin of error

Z critical value for 99% = 2.58

Margin of error = 2.58*\frac{1.5}{\sqrt{n} }

Equate this to 0.5 and solve for n

2.58*\frac{1.5}{\sqrt{n} }=0.5\\\sqrt{n} =7.74\\n =59.90\\n=60

8 0
2 years ago
If function f is a cubic polynomial which statement most accurately describes the function over the interview (0,1)
inysia [295]

Answer:

Option (B)

Step-by-step explanation:

From the given table,

With the increase in the values of x (from x = -2 to x = 2), values of the function is decreasing from x =2 to x = 4.

Interval (0, 1) lies in the domain of the function in which the y-values of the function are,

At x = 0,

f(0) = -6

At x = 1,

f(1) = 0

Therefore, values of the given function are increasing in the interval of (0, 1).

Option (B) will be the correct option.

7 0
3 years ago
Based on the graph of f, which statement is true?
Serjik [45]
The inverse x exists
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3 years ago
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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
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The answer to this question is option A. 49

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