Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be

Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are resp

IRINA_888 [86]

Answer:

0.95

Step-by-step explanation:

$Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }$

$Correlation \ coefficient \ (r) \simeq 0.95$

5 0

3 years ago

Please help me it’s math iready for a 7th grader

Artemon [7]

Answer:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

Step-by-step explanation:

The best answers would be:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

First of all, let's figure out what the question is asking us:

The question is asking us to find the amount of money on the gift card

It tells us to use "m" for "the amount of money on the gift card"

Now that we know the following, we can put together the equation

m = the amount of money on the gift card

$7.50 = cost of the book

$12.50 = amount remaining

Since he receives the gift card and then buys a book that costs $7.50, we are going to "have to subtract $7.50 from m". And we know that $12.50 is remaining, so we "make the equation equal to 12.50".

So, let's set up the equation:

m - 7.50 = 12.50

Now that we know the equation, we can solve for "m"

m - 7.50 = 12.50

Step 1: Add 7.50 to both sides.

m − 7.50 7.50 = 12.50 + 7.50

Step 2: Simplify

Answer: m = 20

Another way you can set up this equation is:

m = 7.50 + 12.50

Because we want to find "m", we set it equal to the equation. Since Salim bought a book for $7.50 and had $12.50 remaining, we want to find how much he had on the gift card that made him have $12.50 remaining when he bought the book. So, we have to add 7.50 and 12.50, to find how much is on the gift card.

So, the equation "m = 7.50 + 12.50", makes sense when solving for "m"

Hint: Once you have realized that the equation has Like Terms on the same side you must Combine the Like Terms by either adding them together or subtracting them.

Now that we know the equation, let's solve it

m = 7.50 + 12.50

Step 1: Combine like terms

m = (7.50 + 12.50)

m = 20

Since both equations equal $20 and both make sense, we can conclude that these are the best options.

5 0

2 years ago

ms. Rao buys a computer, a printer, and a scanner for $2543. the computer cost $1502 more than the printer. the printer costs $1

Mazyrski [523]

This question involves a system of equations.

for the variables we will use c for computer, p for printer, and s for scanner.

in order to solve a system of equations, we need to solve one variable, so we will just pick c because we are solving for the computer.

when we set up the
equation, we need to convert all the variables into an applicable form of c, since that is the variable we are solving for. we can do this because we have information on how the other variables differ on c.

so we get these translations:

c = c
p = c - 1502
s = p - 123

however, the scanner is not translated to c yet, it is translated into p, but we know p can translate into c, so we plug in the equation for p as so:

s = (c - 1502) - 123

which translates to

s = c - 1625

now we have

c = c
p = c - 1502
s = c - 1625

now that we have the translations, we have to use the original equation given to us which is

c + p + s = 2543

which, with our translations can be said as

c + (c - 1502) + (c - 1625) = 2543

which simplifies to

3c - 3127 = 2543.

now, we add 3127 to both sides to get

3c = 5670

then, we divide 3 to both sides to get

c = 1890

so the computer costs 1890.

if you want to find the price for the printer and scanner, simply take c and plug it in to the other equations as so.

p = 1890 - 1502 (388)
s = 1890 - 1625 (265)

6 0

3 years ago

Which expression is equivalent to

Tresset [83]

Answer:

j^13

Step-by-step explanation:

j j j j j j j j j j j j j j

There are 13 j's so we raise j to the 13 power

j^13

5 0

3 years ago

Triangle ABC has a side measuring 7 inches, a side measuring 10 inches, and an angle measuring 38°. To construct another triangl

ki77a [65]

The complete question gives the following options:
A) The 7-inch side and the 10-inch side must make a 52° angle.
B) The 7-inch side and the 10-inch side must make the 38° angle.
C) It does not matter whether or not the 7-inch side and the 10-inch side make a 52° angle.
<span> D) It does not matter whether or not the 7-inch side and the 10-inch side make the 38° angle.

According to the SAS rule for triangle congruency, two triangles are congruent if they have congruent two sides and the angle included.

Therefore, the only way to build a triangle congruent to ABC is to say that the given angle is the one included between the two sides.
Therefore, the correct answer is: </span><span>B) The 7-inch side and the 10-inch side must make the 38° angle. </span>

5 0

3 years ago