I need help on this question plz

If p(a) = 1/3, p(b) = 2/5, and p(a ∪ b) = 3/5, then p(a ∩ b) =

Mumz [18]

P(a ∪ b) = p(a) + p(b) - p(a ∩ b)
p(a ∩ b) = p(a) + p(b) - p(a ∪ b)
p(a ∩ b) = 1/3 + 2/5 - 3/5
p(a ∩ b) = 2/15

8 0

3 years ago

Michael bought 0.44 pound of slice turkey. what is the value of the digit in the hundredths place?

jarptica [38.1K]

Answer:

4

Step-by-step explanation:

You have 0.44

0 is in the ones place

4 is in the tenths place (0.4)

And the other 4 is in the hundredths place (0.04)

8 0

3 years ago

Read 2 more answers

If triangle abc is reflected across the y axis what are the coordinates of A

Ronch [10]

if you show the triangle on the graph i can figure it out, or give me the coordinates of the original triangle, can't really do it without those things

8 0

3 years ago

Read 2 more answers

A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of 28,000 cubic feet. Three differ

pickupchik [31]

Answer:

We have 4 solutions:

No 10-foot truck, 10 14-foot trucks, and 15 24-foot trucks
2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
4 10-foot trucks, 4 14-foot trucks, and 17 24-foot trucks
6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

a+b+c=25

Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

350a+700b+1400c=28000

Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem. The solution is most easily found using an augmented matrix.

The augmented matrix is presented below:

$\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]$

Using the calculator, the reduced row echelon form is:

$\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]$

where

a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

$\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|$

We can easily verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

No 10-foot truck, 10 14-foot trucks, and 15 24-foot trucks
2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
4 10-foot trucks, 4 14-foot trucks, and 17 24-foot trucks
6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

4 0

3 years ago

An architect planned to construct two similar stone pyramid structures in a park. The

kondaur [170]

Answer:

1) Change the length of side AB to 2 feet

Step-by-step explanation:

Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.

To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

$\frac{PR}{AC} = \frac{PQ}{AB}$