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Zarrin [17]
3 years ago
6

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

12is the answer

Step-by-step explanation:

let the width be 2c

length*width =96

4*2c=96

8c=96

c=96/8

c=12

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A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
A used bookstore sells hardback books and paperback books.A hardback book costs $11, including tax.A paperback book costs $5, in
Ket [755]

Answer:

D.5

Step-by-step explanation:

You can write the following equations from the information given:

y=x+3 (1)

11x+5y=47 (2)

x is the number of hardback books

y is the number of paperback books

You can replace (1) in (2):

11x+5(x+3)=47

11x+5x+15=47

16x=47-15

16x=32

x=32/16

x=2

Then, you can replace the value of x in (1) to find the value of y:

y=2+3

y=5

According to this, the answer is that Jamal bought 5 paperback books.

6 0
3 years ago
Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13 cinder cone volcanoes, 18 shield volca
Crazy boy [7]

Answer:

6 STRATOVOLCANOES

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
NEED ANSWERED ASAP PLEASE<br> sin(0)= -4 sqrt 29 / 29
VladimirAG [237]

Answer:

Is - 4

Step-by-step explanation:

29/29  cancel it out

so it will leave -4 out

3 0
2 years ago
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irinina [24]
(9x^4-13x^3-x-7)+(7x^3-2x+1)=
9x^4-13x^3-x-7+7x^3-2x+1=
9x^4+(-13+7)x^3+(-1-2)x-7+1=
9x^4+(-6)x^3+(-3)x-6=
9x^4-6x^3-3x-6

Answer: Option <span>D.)9x^4−6x^3−3x−6</span>
5 0
2 years ago
Read 2 more answers
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