MATHEMATICS HIGH SCHOOL

The table shows the ages and weights of babies at a hospital. What is the correlation between age and weight as shown in the table?

A.) none

B.) positive

C.) negative

D.) constant

Answers

Answer 1

Answer:

Answer:

Option (b) is correct.

The correlation between age and weight shown in the table is positive.

Step-by-step explanation:

Given: The table shows the ages and weights of babies at a hospital.

We have to determine the correlation between age and weight as shown in the table.

We first Plot these points to obtain the graph as show in attachment below.

Since, Using correlation calculator , we find the correlation as 0.83113

Which is positive

Thus, The correlation between age and weight shown in the table is positive.

As age increases the weight increase.Hence, positive.

Answer 2

Answer:

The correlation between age and weight as shown in the table is positive, This is further explained below, Option B is correct

What is correlation?

Correlation is simply a relationship that exists between events or objects, A relationship between mathematical variables that are subject to variation.

In conclusion, Therefore we look at the table to decipher the correlation between age and weight.

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The vertices of triangle WXY have coordinates W(3, 2), X(5, 5), and Y(7, 3). Triangle WXY was transformed to produce triangle WꞌXꞌYꞌ, with coordinates Wꞌ(−2, −1) and Yꞌ(2, 0).What are the coordinates of vertex Xꞌ?

Evaluate b+c when a=5, b= 17, and c= 25

Answers

Answer:

Step-by-step explanation:

17 + 25 = 42

42 is the answer. B is 17 and C is 25. Add up 17 and 25 to get 42.

Let f(x)=8x and g(x)=8x+5+1.Which transformations are needed to transform the graph of f(x to the graph of g(x)?

Select each correct answer.

horizontal translation 1 unit left

vertical translation 1 unit down

vertical translation 5 units up

vertical translation 1 unit up

horizontal translation 5 units right

horizontal translation 5 units left

Answers

Transformation involves changing the form of a function

The transformations are:

vertical translation 1 unit up .
horizontal translation 5 units left.

The functions are given as:

$\mathbf{f(x) = 8x}$

$\mathbf{g(x) = 8(x + 5) + 1}$

Considering f(x), we have:

$\mathbf{f(x) = 8x}$

Start by translating the function 5 units left.

The rule of this translation is:

$\mathbf{f'(x) = f(x + 5)}$

So, we have:

$\mathbf{f'(x) = 8(x + 5)}$

Next, translate the function 1 unit up

The rule of this translation is:

$\mathbf{f''(x) = f'(x) + 1}$

So, we have:

$\mathbf{f''(x) = 8(x + 5) + 1}$

Rewrite as:

$\mathbf{g(x) = 8(x + 5) + 1}$

Hence, the transformations are: vertical translation 1 unit up and horizontal translation 5 units left

Answers

Answer:

D The volume of a cube increases by a factor of 8 when its edge length doubles

Step-by-step explanation:

Volume of a cube is represented by the function

$V(x)=x^3$

where $x$ represents the edge length of the cube

Now when $x=2x$ i.e., when the edge length is doubled we have

$V(2x)=(2x)^3\n\Rightarrow V(2x)=8x^3\n\Rightarrow V(2x)=8(V(x))$

It can be seen that the volume of the cube increased by 8 times when edge length doubles.

Answer:

the answer is d

Step-by-step explanation:

For the function y=f(x), what is the ordered pair for the point on the graph when x= b-2?A) (b-2, f(b-2))
B) (x, f(b))
C) (x, b-2)
D) (b - 2, f(b))

Answers

$y=f(x)\n\nx=b-2\Rightarrow y=f(b-2)\n\nAnswer:A)(b-2;\ f(b-2))$

Simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

Equation that represents the line that passes through the point (-2,-1) and has a slope of 5

Answers

Straight line:
y = mx + c
m is the slope of the graph and c is the y-intercept
In this case, m = 5 as stated in the question, so...
y = 5x + c
By substituting the given co-ordinates (-2,-1) into this equation, we can find c
-1 = 5(-2) + c
-1 = -10 + c
-1 + 10 = -10 + c + 10 (Add 10 to both sides)
9 = c
c = 9
Put c = 9 into the equation:
y = 5x + 9

The table shows the ages and weights of babies at a hospital. What is the correlation between age and weight as shown in the table? A.) none B.) positive C.) negative D.) constant

Answers

What is correlation?

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The table shows the ages and weights of babies at a hospital. What is the correlation between age and weight as shown in the table?

A.) none

B.) positive

C.) negative

D.) constant