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amm1812
3 years ago
8

Plz help me with is question, ill try to give brainliest

Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

Answer:

B (8, 6)

Step-by-step explanation:

the chart line has y increase 3 units for every 3 unit increase in x, therefore the slope is 3/3 = 1 and the y intercept (x = 0) is -2.

Equation is y = x - 2

the other line has

Equation y = ¼x + 4

we want to find where

x - 2 = ¼x + 4

¾x = 6

   x = 8

y = 8 - 2 = 6

(8, 6)

Ivan3 years ago
5 0

Answer:

\text{B. } (8,6)

Step-by-step explanation:

In slope-intercept form y=mx+b:

  • m represents slope
  • b represents the y-intercept
  • (x,y) represent the coordinates of any point the line passes through

In slope-intercept form, the equation for the table is given by y=x-2, and the equation for the second line is given by y=\frac{1}{4}x+4.

To find the point of intersection, set those two equations equal to each other and solve:

x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8

y=x-2,\\y=8-2,\\y=6

Therefore, these two lines intersect \boxed{\text{B. (8,6)}}

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hoa [83]
The answer is letter B
6 0
4 years ago
The following data represent the weights in pounds of a sample of 25 police officers:
DochEvi [55]

Given:

The data values are:

164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.

To find;

a. Lower quartile.

b. Upper quartile.

c. Interquartile range.

Solution:

We have,

164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, 171.

Arrange the data values in ascending order.

134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157, 162, 163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177.

Divide the data values in two equal parts.

(134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177)

Divide each parentheses in two equal parts.

(134, 137, 140, 145, 146, 148), (151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169), (171, 172, 173, 174, 174, 177)

a. Location of lower quartile is:

Q_1=\dfrac{1}{4}(n+1)\text{th term}

Q_1=\dfrac{1}{4}(25+1)\text{th term}

Q_1=\dfrac{26}{4}\text{th term}

Q_1=6.5\text{th term}

The lower quartile of the weights is:

Q_1=\dfrac{148+151}{2}

Q_1=\dfrac{299}{2}

Q_1=149.5

Therefore, the location of the lower quartile of the weights is between 6th term and the 7th term. The value of the lower quartile is 149.5.

b. Location of upper quartile is:

Q_3=\dfrac{3}{4}(n+1)\text{th term}

Q_3=\dfrac{3}{4}(25+1)\text{th term}

Q_3=\dfrac{3\cdot 26}{4}\text{th term}

Q_3=19.5\text{th term}

The upper quartile of the weights is:

Q_3=\dfrac{169+171}{2}

Q_3=\dfrac{340}{2}

Q_3=170

Therefore, the location of the upper quartile of the weights is between 19th term and the 20th term. The value of the upper quartile is 170.

c. The interquartile range of the given data set is:

IQR=Q_3-Q_1

IQR=170-149.5

IQR=20.5

Therefore, the interquartile range of the weights is 20.5.

7 0
3 years ago
3(x-8)-2(10-x)>5(x-1)
Vladimir [108]

Answer:

x - 44 > 5x - 5 is the simplified version. hope this helps

Step-by-step explanation:

- Zombie

6 0
3 years ago
Interpret the solution. AND PLEASE SHOW ALL WORK PLEASE
Talja [164]

Answer:

$900

Step-by-step explanation:

first you need to find the unit rate by dividing 270 by 3, which the answer would be 90. now we have $90. now we need to find the amount for 10 people, and we already have the unit rate. with the 90 dollars, we multiply it by 10. your final answer would but $900 for 10 people. hope this helps!

5 0
3 years ago
Read 2 more answers
-3(x+8)-12=62-24 solve
Juli2301 [7.4K]

Answer:

First we chose one side to solve.

I am doing the one on the left first.

so -3x+-24-12

-3x-12

Now we do the other side

62-24 is

38 therefore

-3x-12=38

4 0
3 years ago
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