Question 1

The table shows five transactions and the resulting account balance in a bank account, except some numbers are missing. Fill the

Allushta [10]

Transaction 3= -155.15
Transaction 4= -223.75

5 0

3 years ago

Complete the table of values for the equation, 16x + 4y = 12.

Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope;
b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x for finding the values of y.

Thus,

For x= -2, the value of y will be:

16*(-2)+4y=12

-32+4y=12

4y=12+32

4y=44

y=11

For x= -1, the value of y will be:

16*(-1)+4y=12

-16+4y=12
4y=12+16
4y=28
y=7

For x= 0, the value of y will be:

16*(0)+4y=12

0+4y=12
4y=12
4y=12
y=3

For x= 1, the value of y will be:

16*(1)+4y=12

16+4y=12
4y=12-16
4y=-4
y= -1

For x= 2, the value of y will be:

16*(2)+4y=12

32+4y=12
4y=12-32
4y=-20
y= -5

Read more about the linear equation here:

brainly.com/question/1884491

#SPJ1

7 0

1 year ago

Nearest interger of 10

hjlf

Answer:

9 or 11

Step-by-step explanation:

These are the answers because:

1) The number before 10 and after 10 is 9 and 11

Therefore, the answer is 9 or 11

Hope this helps!

6 0

3 years ago

At which position is the northern hemisphere experiencing spring?

natali 33 [55]

Point a is the correct answer for this question

6 0

3 years ago

Read 2 more answers

In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until

Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There are 12 bulbs, hence N = 12.

3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.

The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182$

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0

2 years ago