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sergey [27]
2 years ago
15

In one study, it was found that the correlation coefficient between two variables is -0.98. Which statement is true?

Mathematics
1 answer:
Vadim26 [7]2 years ago
3 0

<u>Answer- </u>D. There is a strong negative association between the variables

<u>Solution-</u>

Properties of Correlation Coefficient

1-  Its value ranges between -1 and 1.

2- The greater the absolute value of correlation coefficient, the stronger is the linear relationship.

3- The weakest linear relationship is indicated by a correlation coefficient equal to 0.

4- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

5- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

As the given correlation coefficient is -0.98 (-ve), whose absolute value is 0.98 (closer to 1)

So there is a strong negative association between the variables.

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At age 40 you deposit $150 at the end of each month into an IRA that pays 4% interest compounded monthly. At age 65, what will t
Svetlanka [38]

Answer:

Annuity= 242.4

Step-by-step explanation:

This is a compound interest problem.

The total amount at the end of 25 years will be

A = p(1+r/n)^(nt)

A = 150(1+(0.04/(25*12)))^ ((25*12)(25))

A= 150(1 + 0.04/300)^ (300*12)

A = 150(1+ 0.0001333)^ 3600

A = 150(1.0001333)^ 3600

A = 1500(1.615828808)

A= 242.374

A= 242.4 to the nearest cent

8 0
3 years ago
What is the area of a circular wrestling region with a 42 ft diameter
zloy xaker [14]

Answer:

The area of a circular wrestling region with a 42 fr diameter is

A≈1385.44ft²

4 0
3 years ago
The notation Ak meas the matrix A Multiplied with itself k times (a) For the 2×2 identity matrix I, show that I2 =I (b)For the n
djverab [1.8K]

Answer:

Entries of I^k are are also identity elements.

Step-by-step explanation:

a) For the 2×2 identity matrix I, show that I² =I

I^{2}=\left[\begin{array}{cc}1&0\\0&1\end{array}\right] \times \left[\begin{array}{cc}1&0\\0&1\end{array}\right] \\\\=\left[\begin{array}{cc}1\times 1+0\times 0&1\times 0+0\times 1\\0\times 1+1\times 0&0\times 0+1\times1\end{array}\right] \\\\=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

Hence proved  I² =I

b) For the n×n identity matrix I, show that I² =I

n×n identity matrix is as shown in figure

Elements of identity matrix are

\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\

As square of 1 is equal to 1 so for n×n identity matrix I, I² =I

(c) what do you think the enteries of Ik are?

As mentioned above

\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\

Any power of 1 is equal to 1 so kth power of 1 is also 1. According to this Ik=I

6 0
2 years ago
WILL MARK BRAINLIEST!
antiseptic1488 [7]

Answer:

9.58

Step-by-step explanation:

total score needed

9.5 * 5 = 47.5

Score from 4 judges

9.48 * 4 = 37.92

Score needed from 5th judge

47.5 - 37.92 = 9.58

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2 years ago
Voting in 2004 presidential election George Bush received 53.25% of the total electoral votes and john Kerry received 46.75% of
vovikov84 [41]

Answer:

George Bush received 286 votes and John Kerry received 251 votes.

Step-by-step explanation:

Total number of votes = 537

% of votes received by George Bush = 53.25 %

No. of votes recieved by George Bush = \frac{53.25}{100} ×537

= 285.95

≈ 286 votes.

The rest of the votes were for John Kerry,

=537 - 286

= 251

3 0
3 years ago
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