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bezimeni [28]
3 years ago
12

The inner square has sides of 3 inches and the outer square has sides

Mathematics
1 answer:
EastWind [94]3 years ago
7 0
X is the hypotenuse of an isosceles triangle. The length of the sides are the difference of the inner and outer squares divided by 2. Which means that the sides of the triangle is 1.5 inches. Using that information, the length of X can be deduced to be 2.12 inches using Pythagoras theorem
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Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen
sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

5 0
3 years ago
If you enter the formula =A2*(1+$A$1) in cell B2 and then copy cell B2 to C2, the numerical result in cell
denis-greek [22]
It’s is b 121 . Gang gang
6 0
3 years ago
Kasey and her sister both sold cookie dough. Her sister sold three times as many tubs of cookie dough. If they sold a total of 8
Rufina [12.5K]
X= number of tubs Kasey sold
3x= number tubs sister sold

Add the number sold by Kasey and her sister to equal the total sold (88).

x + 3x= 88
combine like terms

4x= 88
divide both sides by 4

x= 22 number tubs Kasey sold


Number Sold by Sister
3x= 3(22)= 66


CHECK:
x + 3x= 88
22 + 3(22)= 88
22 + 66= 88
88= 88


ANSWER: Kasey sold 22 tubs and her sister sold 66 tubs.

Hope this helps! :)
7 0
3 years ago
PLZ HELP IDK WHAT THIS MEANS
Hoochie [10]

Answer: Option B.

Step-by-step explanation:

In the graph we can see the graph of a quadratic equation (from this we could conclude that the graph will not change the current direction for the arms, so the arms will keep going down), and we also can see that as x increases in absolute value, the value of y decreases.

Then we could conclude that as IxI is really big, we will have that f(x) goes to minus infinity

x -->∞, f(x) --> -∞

x--> -∞, f(x) --> -∞

Then the correct option is B

4 0
3 years ago
Read 2 more answers
The largest of 2 integers is one more than three times the smaller. If the sum of the two integers is 37, find the larger intege
Ber [7]

Answer:The larger is 28, the smaller is 9.

Step-by-step explanation:

n = the smaller

3n + 1 = the larger

n + (3n + 1) = 37

4n + 1 = 37

4n = 36

n = 9

3n + 1 = 3(9) + 1 = 28

The larger is 28, the smaller is 9.

mark brainliest please

7 0
2 years ago
Read 2 more answers
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