How do you name a vector?

Oak pollen sent 21,000 people to U.S. emergency rooms for asthma in 2010. By 2090 the rate could climb another 5 or 10 percent.

Gnesinka [82]

The probable number of prople sent to US emergency rooms by 2090 can be between 22,050 and 23,100

Step-by-step explanation:

Total sent to US emergency room by 2010= 21000

The estimated increase in the rise of cases = 5 to 10% by 2090

Final numbers in 2090

Hence the final numbers in 2090 would be 5 to 10% more than the total cases in 2010

Lower limit= 5% of 21000= 1050

Hence lower limit of cases in 2090= 21000+1050= 22050

Upper limit of cases in 2090= 10% of 21000= 21000+2100= 23,100

The number would lie anywhere between 22050 and 23,100 in 2090

5 0

3 years ago

Jimmy has $100 and would like to buy lottery tickets. Each ticket is $5 dollars. Jimmy finds that the equation for his situation

Snowcat [4.5K]

Answer: False wouldn't it be -100 dollars if hes buying something. Correct me if im wrong.

5 0

2 years ago

a committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer.

miss Akunina [59]

Answer:

$\frac{1}{990}$

Step-by-step explanation:

The full question:

"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions?"

The permutation of choosing 3 members from a group of 11 would be:

P(n,r) = $\frac{n!}{(n-r)!}$

Where n would be the total [in this case n is 11] & r would be 3

Which is:

P(11,3) = $\frac{11!}{(11-3)!}=\frac{11!}{8!}=11*10*9=990$

So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:

1/990

8 0

3 years ago

How can you tell if a system of equations has infinite solutions?

kirill [66]

To tell if an equation has infinite solutions, the equation will be equal to each other.

For example,

x = x
x + 1 = x + 1
x - y = x - y

And so on...

And in special cases,

0x = 0
0x = 0(y + 1)

They have infinite solutions because there's no constant to determine the variable.

4 0

2 years ago

Please help i dont know how to do this

maxonik [38]

Hello once again!

When you see a question like this, you need to find the equation of the straight line.

The formular used is y = mx + c
Where
m = slope
c = constant

First find the slope, since it's a straight line, any 2 coordinates can be used.

$m = { \frac{y_1 - y_2}{x_1-x_2} } \\ m= { \frac{16 - (- 8)}{-2 - 2} } \\ m= { \frac{24}{-4} } \\ m = -6$

Now we need to substitude in the slope, and one of the coordinate you used to find the slope, to the formular to find the constant.

In this case i'm using the coordinate
(-2, 16)

y = mx + c
16 = -6(-2) + c
16 = 12 + c
c = 4

∴ The equation of the line is y = -6x + 4

The next step is to simply substitude in the x = 8 to the equation to find y.

y = -6(8) + 4
y = -48 + 4
y = -44

7 0

2 years ago