A scale on a map shows that 2 inches = 25 miles.

22. The mean of 15 observations is 32. Find the resulting mean, if each observation is: (i) increased by 3 (ii) decreased by(v)

Lubov Fominskaja [6]

Answer:

35 ;

32 + v

51.2

Step-by-step explanation:

If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount

Hence,

For 15 observations whose mean is 32

If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35

If each observation is decreased by v ; the resulting mean would also decrease by v ;

32 - v

If each observation is increased by 60% ; the resulting mean will be ;

(1 + 60%) * initial mean

(1 + 0.6) * 32

1.6 * 32 = 51.2

8 0

3 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0

3 years ago

1. William earns $134,644.80 per year, and has his federal taxes withheld from each weekly check. In addition, a total of $53.60

SashulF [63]

I only have the answer for 3 and i believe it is 20,090

3 0

3 years ago

Mr. Nolan has a bank account that compounds interest

german

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

4 0

3 years ago

Joe recently joined an online streaming service and pays a monthly fee of $12, plus $0.11 per TV episode streamed. if joe decide

Sliva [168]

$20-$12=$8 $8.00/$0.11= 72.72 repeatedly so he can only watch 72 episode

7 0

3 years ago