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2 years ago

Which of the following data sets indicates a strong negative correlation?

Mathematics

2 answers:

Nuetrik [128]2 years ago

6 0

Answer:

Option: C is the correct answer.

C. {(-2, 4), (-1, 2), (0, 0), (1, -2) }

Step-by-step explanation:

<u>Strong negative correlation--</u>

A negative correlation is a relationship between two variable such that with the increase of one variable the other variable decrease and vice versa.

Negative correlation is also means the two variables have an inverse relationship.

Also, the relationship is strong if all the points lie above the line of best fit.

Hence, from the given set of data the set that represent the strong negative correlation is:

C. {(-2, 4), (-1, 2), (0, 0), (1, -2) }

Since in this set the x-value is increasing by a constant rate i.e. 1 ( i.e. -2,-1,0 and 1) while the other value is decreasing by a constant rate i.e. 2 ( i.e. 4,2,0 and -2).

Hence, we will get a linear relationship such that all the points will lie above the line and the line of best fit have a negative slope.

Hence, the data set has a strong negative correlation.

Gekata [30.6K]2 years ago

3 0

Answer:

Option C is correct.

Step-by-step explanation:

Given data sets are {(-3, 8), (-2, -6), (-1, 4), (0, -2)} , {(-2, -4), (0, -2), (2, 0), (4, 2)} and {(-2, 4), (-1, 2), (0, 0), (1, -2)}

Strong negative correlation--

A negative correlation is a relationship between two variable such that with the increase of one variable the other variable decrease and vice versa.

Negative correlation is also means the two variables have an inverse relationship.

We plot all points on the graph then check which data set has strong negative correlation.

Pics are attached.

Clearly, from pic Set C has strong negative correlation as line in this graph has negative slope .i.e., when x increasing value of y decreasing.

Therefore, Option C is correct.

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Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below. 5k – 6k + 2 – 9 = 0 –k – 7 = 0 –k = 7 k = Analyze Lorena’

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2 years ago

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A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need

MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

= 2 x 7.5 tsp

= amount of salt used for small batch the recipe x 7.5

So,

the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe

= 7.5 x 1 tsp

= 7.5 tsp

the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe

= 7.5 x 4 tsp

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2 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

Sergeu [11.5K]

Answer: Cost of each hot dog and bratwursts would be $1.1 and $1.35 each.

Step-by-step explanation:

Since we have given that

Cost of each dozen hot dogs be 'x'.

Cost of each dozen bratwursts be 'y'.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.

So, the equation would be

$8x+13y=\$316.20$

.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00.

So, the equation would be

$10x+15y=\$375.00\\\\2x+3y=\$75$

So, the equations becomes

$8x+13y=316.20--------------(2)\\\\(2x+3y=75)\times 4\\\\\implies 8x+12y=300------------(1)$

So, by elimination method, we get that

$8x+13y=316.20\\\\(-)8x+(-)12y=(-)300\\\\--------------\\y=\$16.20$

Put the value of y in the eq(1), we get that

$2x+3y=75\\\\2x+3(16.20)=75\\\\2x+48.6=75\\\\2x=75-48.60\\\\2x=26.4\\\\x=\dfrac{26.4}{2}\\\\x=\$13.2$

Hence, the cost of hot dogs would be $\dfrac{13.2}{12}=\$1.1$

And the cost of bratwursts would be $\dfrac{16.2}{12}=\$1.35$

4 0

2 years ago

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

Molodets [167]

Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

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2 years ago

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vector u is represented by the directed line segment RS and vector v is represented by the directed line segment OP. if R=(8,-2)

melamori03 [73]

The given points are

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