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3 years ago

Please help fast! Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers

Mathematics

1 answer:

grigory [225]3 years ago

5 0

Jake's guesses are illustrations of probabilities.

The probability that Jake's guesses are correct is 1/720

The sample size is:

$\mathbf{n = 10}$ --- 10 different numbers

The probability that Jake's guesses are correct is as follows:

1st guess = 1/10
2nd guess = 1/9
3rd guess = 1/8

So, the required probability is:

$\mathbf{Pr = \frac{1}{10} \times \frac 19 \times \frac 18}$

$\mathbf{Pr = \frac{1}{720} }$

Hence, the probability that Jake's guesses are correct is 1/720

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A new Community Center is being built in Oak Valley. The perimeter of the rectangular playing field is 382 yards. The length of

vesna_86 [32]

Answer:

The width is 50 yards and the length is 141 yards.

Step-by-step explanation:

Let's call: L the length of the field and W the width of the field.

From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:

2L + 2W = 382

Because the perimeter of a rectangle is the sum of two times the length with two times the width.

Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:

L = 3W - 9

So, replacing this last equation on the first one and solving for W, we get:

2L + 2W = 382

2(3W - 9) + 2W = 382

6W -18 +2W = 382

8W - 18 = 382

8W = 382 + 18

8W = 400

W = 400/8

W = 50

Replacing W by 50 on the following equation, we get:

L = 3W - 9

L = 3(50) - 9

L = 141

So, the width of the rectangular field is 50 yards and the length is 141 yards.

3 0

3 years ago

Simplify the radical expression.

Fofino [41]

B. 10 square root 5
hope this helps:)
pls mark thanks and brainliest:)

6 0

3 years ago

What is the solution to this equation 1/2n^2+18=0

ololo11 [35]

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

$\rm\implies -\dfrac{1}{2}n^2+18=0$

Subtracting 18 both sides ,

$\rm\implies -\dfrac{1}{2}n^2 = -18$

Multiplying both sides by -2 ,

$\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18$

On simplyfing , we get ,

$\rm\implies n^2= 36$

Putting squareroot both sides ,

$\rm\implies n= \sqrt{36}$

This equals to ,

$\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}$

Hence the value of n is ±6 .

6 0

3 years ago

Simplify the expression below

aleksandrvk [35]

3*2 = 6 ;
4^2 = 16;
/-2/ = +2;
16*2 = 32 ;
5 + 6 - 32 = 11 - 32 = -21;
The right answer is D) -21 ;

6 0

3 years ago

Algebraic expression for “six more than the quantity d times two.”

marusya05 [52]

Answer:

6 + (d * 2)

Step-by-step explanation:

You are adding 6 to the equation after the amount d times 2. In that case, a parentheses is required to round up d * 2.

6 0

2 years ago