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natima [27]
3 years ago
11

Can you help me .....................?

Mathematics
1 answer:
aniked [119]3 years ago
5 0

Answer:

11/18

Step-by-step explanation:

The desired probability is the sum of ...

... (probability of choosing a coin) × (p(heads) on that coin)

Since the coins are chosen at random, we assume the probability of choosing a given coin is 1/3. Then ...

... p(heads) = (1/3)·(1/2) + (1/3)·1 + (1/3)·(1/3) = 1/6 + 1/3 + 1/9 = (3 +6 + 2)/18

... p(heads) = 11/18

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Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB
Nina [5.8K]

\text{Hello there! :)}

x = 8\\\\AB = 128 \text{ units}

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\

\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\

\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40

\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8

\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8

\text{Substitute in this value of x into either AM or MB to solve for AB:}

AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}

5 0
4 years ago
Find the length of the diagonal of a square that has an area of 25 square inches
viktelen [127]

Answer:

7.07

Step-by-step explanation:

If the square has an area of 25 then its side lengths must be 5 by 5.

The diagonal of the square can be found using the Pythagorean theorem. Substitute a = 5 and b = 5.

5² + 5² = c²

25 + 25 = c²

50 = c²

√50 = c

7.07 =c

7 0
3 years ago
Estimate to find the quotient. 342/8=
djverab [1.8K]

Answer:

42 3/4 I think

Step-by-step explanation:

because if you simplified 342/8 it will be 171/4. so if you simplified that it'll get you to 42 3/4

3 0
3 years ago
The product of two consecutive positive integers is 19 more than their sum. Find the integers.
strojnjashka [21]
The crucial part of the wording of the problem tells us that the two integers are consecutive. So, let's call the first term x. Then the other term must be x + 1 since it comes right after it and is an integer. Now we can solve:

x(x + 1) = x  + (x + 1) + 19

x^2 + x = 2x + 20

x^2 - x - 20 = 0

Now we factor:

(x - 5)(x + 4) = 0

This means x either equals 5 or x = -4 to satisfy the above equation. We know that x is positive from the question itself, so x must be 5. The number consecutively after it then must be 6.
6 0
3 years ago
How many 3/4s are in 3 2/4
MArishka [77]

Answer:

the answer is 3

Step-by-step explanation:

First change the whole number (3) to quaters or fraction

3x \frac{4}{4} = \frac{12}{4}

Now, add

\frac{2}{4} + \frac{12}{4} = \frac{14}{4}   Since, we have the same common denominator

now divide

14÷4 =3.5 = 3\frac{2}{4}

Therefore, there are 3 of 3/4 with a remainder of  \frac{2}{4} in 3 \frac{2}{4}.

7 0
3 years ago
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