Gordon types 1,972 words in 29 minutes Gordon types ______

A) Antoine's family is taking a summer vacation through the northern united states on day one of the trips the family will be tr

kirill115 [55]

Answer:

Step-by-step explanation:

We are expected to convert from miles to kilometer

first day 85 miles =136.794km

Second day 125 mile=201.168km

third day 176 miles =283.245km

Total distance covered is

136.794km+201.168km+283.245km=621.207km

Therefore the total distance in kilometer is 621.207km

8 0

3 years ago

The triangles are similar. Find x.A. 3.5B. 2.24C. 1.6D. 3.6

Lerok [7]

When two triangles are similar, then the ratios of their corresponding sides will be equal:

so 2.4/3 = 2.8/x = y/4.5

Use the ratio that involves the x and the two values that are given:

2.4/3 = 2.8/x

Then, solve the equation for x to find the missing side:

2.4/3 = 2.8/x

(2.4 / 3 ) x = 2.8

x = 2.8 / (2.4/3)

x = 3.5

The correct option is A.

5 0

1 year ago

Suppose the standard deviation of X is 6 and the standard deviation of Y is 8. Answer the following two questions, rounding to t

Darina [25.2K]

Recall that

Var[aX + bY] = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

Then

Var[3X - 7Y] = 9 Var[X] - 42 Cov[X, Y] + 49 Var[Y]

Now, standard deviation = square root of variance, so

Var[3X - 7Y] = 9×6² - 42×2 + 49×8² = 3376

The general result is easy to prove: by definition,

Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²

Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]

Then

Var[aX + bY] = E[((aX + bY) - E[aX + bY])²]

… = E[(aX + bY)²] - E[aX + bY]²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a E[X] + b E[Y])²

… = E[a ² X ² + 2abXY + b ² Y ²] - (a ² E[X]² + 2 ab E[X] E[Y] + b ² E[Y]²)

… = a ² E[X ²] + 2ab E[XY] + b ² E[Y ²] - a ² E[X]² - 2 ab E[X] E[Y] - b ² E[Y]²

… = a ² (E[X ²] - E[X]²) + 2ab (E[XY] - E[X] E[Y]) + b ² (E[Y ²] - E[Y]²)

… = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]

6 0

3 years ago

1 * w^3 how do you multiply these together

Zanzabum

9514 1404 393

Answer:

w^3

Step-by-step explanation:

The multiplicative identity element is 1. That means 1 times anything is just that thing.

1 × w^3 = w^3

_____

Additional comment

That is one of the reasons why a coefficient of 1 is (almost) never shown.

In algebra, multiplication can be indicated a number of ways.

ab . . . . placing values next to each other (sometimes with a small space)

(a)(b) . . . . placing values next to each other with either or both in parentheses

a·b . . . . . using a multiplication symbol between the values.

There are several different multiplication symbols in common use:

* — asterisk

· or • — centered dot

× — centered "x" multiplication symbol

x — the lower-case letter x (when it cannot be confused with a variable)

. — a period (when it cannot be confused with a decimal point). This is uncommon in the US, but is seen occasionally when some of the other symbols are not available. It is more common outside the US.

_____

The multiplication of a constant and a variable expression cannot actually be accomplished. It can only be "indicated." If you wanted to multiply 2*w^3, that product would be indicated in any of the ways described above. Perhaps the simplest and least-confusing to most people is ...

2w^3

Multiplying 1*w^3 can be indicated the same way: 1*w^3. In view of the special treatment given to a coefficient of 1, we would not simplify this to

1w^3

Rather, we would simplify it to ...

w^3

8 0

3 years ago

Two rectangles or similar one is 5 cm x 12 cm the long side of the second rectangle is 8 cm greater than twice is short side fin

NikAS [45]

Answer:

The length is 48

The width is 20

Step-by-step explanation:

When 2 rectangles (figures) are similar, the ratio of corresponding sides are equal.

This rectangle is 5 by 12, so the shorter side (corresponding to 5) to the longer side (corresponding to 12) would be the same ratio, 5:12.

Let shorter side be s, and

longer side be l

It says, long side is 8 greater than twice short, we can write this as:

$l=2s+8$

In similar rectangles, we have said the corresponding sides' ratio are equal, so we could write:

$\frac{s}{l}=\frac{5}{12}$

Now, we replace the new found expression for "l" onto this and cross multiply and solve for s first:

$\frac{s}{l}=\frac{5}{12}\\\frac{s}{2s+8}=\frac{5}{12}\\5(2s+8)=12*s\\10s+40=12s\\2s=40\\s=\frac{40}{2}\\s=20$

So the shorter side is 20. and hence the longer side would be:

l = 2s + 8

l = 2(20) + 8

l = 40 + 8

l = 48

The longer side is 48.

The length is 48

The width is 20

8 0

4 years ago

Gordon types 1,972 words in 29 minutes Gordon types _______ words per minute PLSSS HELPP ME