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d1i1m1o1n [39]
2 years ago
14

(4x)m+(5x+3)m+(5x+1)m=102 Find the sides of the triangle. Perimeter =102

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
5 0

Here is the set up:

Side 1 is 4x.

Side 2 is 5x + 3

Side 3 is 5x + 1

The perimeter is 102.

Perimeter = side 1 + side 2 + side 3

102 = 4x + 5x + 3 + 5x + 1

102 = 14x + 4

Take it from here.

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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
in a farm 20% of animals are cows . 0.4 are goat and the rest are sheep.How many cows are there if there are 40 sheeps​
Zolol [24]

Step-by-step explanation:

20%=cows 0.4(40%)=goat 40%=sheep

if 40%sheep=40 sheeps

20% cow=x

20%×40=40%×x

8=40%x

x=8/40%

x=20

..so there are 20 cows

sorry...not sure

3 0
3 years ago
Read 2 more answers
PLEASE HELP ITS DUE TONIGHT, IM CONFUSED
djverab [1.8K]
Perimeter = (x+2) + x + (x+2) + x
Perimeter = 4x + 4

Area = x(x+2)
Area = x^2 + 2x
7 0
3 years ago
Read 2 more answers
You deposit $4300 in an account that earns 2% per year simple interest. The equation that represents this situation is: A(n) = 4
Likurg_2 [28]

Answer: $4902

Step-by-step explanation:

Amount = P (1 + rt)

= 4300 (1 + .02 * 7)

= 4300 (1 + .14)

= 4300 (1.14)

= 4902

3 0
3 years ago
The area of a round table is 1.13 m2. Find the radius length of
hichkok12 [17]

Answer:

0.6 m

Step-by-step explanation:

-The area of a circular shape is given by the formula:

A=\pi r^2\\\\\#Where\\r-Radius\\A-Area

We substitute the given value of area in the formula to solve for Radius:

A=\pi r^2\\\\1.13=\pi r^2\\\\r=\sqrt{\frac{1.13}{\pi}}\\\\=0.59974\approx0.6\ m

Hence , the radius length of the table is 0.6 m

5 0
2 years ago
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