Gerald's golf shop sells sets of 3 golf balls for $10

Alison is learning how to walk. 50% of the time that she takes a step she falls down. Her older brother wants to design a simula

MissTica

Answer with explanation:

Alison is learning how to walk.50% of times she takes a step she falls down.

Probability of falling down in next step $=\frac{50}{100}=\frac{1}{2}$

Probability of not falling down in next step $=\frac{50}{100}=\frac{1}{2}$

From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.

While Simulating the Probability of falling down should be $=\frac{5}{7}$

And , probability of not falling down $1-\frac{5}{7}=\frac{2}{7}$

→→⇒F=Falling, NF=Non Falling

A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.

$P(F)=\frac{1}{6},P(NF)=\frac{5}{6}$

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.

$P(F)=\frac{1}{6},P(NF)=\frac{5}{6}$

Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.

C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.

$P(F)=\frac{1}{2},P(NF)=\frac{1}{2}$

Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.

D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.

$P(F)=\frac{1}{2},P(NF)=\frac{1}{2}$

Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.

Option D

4 0

3 years ago

Read 2 more answers

The ratio of the side adjacent am acute angle and the hypotenuse. Adjacent/hypotenuse

diamong [38]

Answer: The answer is cosine of that acute angle.

Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.

In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.

Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

Now, the ratio is given by

$\dfrac{\textup{adjacent side}}{\textup{hypotenuse}}=\dfrac{BC}{AC}=\dfrac{\textup{base}}{\textup{hypotenuse}}=\cos\textup{ of angle }ACB.$

Thus, the ratio is cosine of the acute angle.

7 0

2 years ago

Toby invested £7500 for 2 years in a savings account. he was paid 4% per annum compound interest. how much money did Toby have a

Oduvanchick [21]

A=7,500×(1+0.04)^(2)
A=8,112

7 0

3 years ago

Which number is IRRATIONAL? A) V B) V16 32 D) 164

Lisa [10]

the answer is c because it is a decimal

4 0

3 years ago

Find the multiplicative inverse of 3 − 2i. Verify that your solution is corect by confirming that the product of

leonid [27]

Answer:

$\frac{3}{13} + \frac{2i}{13}$

Step-by-step explanation:

The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1

So for this problem we need to find a number z such that

(3 - 2i) ( z ) = 1

If we take z = $\frac{1}{3-2i}$

We have that

$(3- 2i)\frac{1}{3-2i} = 1$ would be the multiplicative inverse of 3 - 2i

But remember that 2i = √-2 so we can rationalize the denominator of this complex number

$\frac{1}{3-2i } (\frac{3+2i}{3+2i } )=\frac{3+2i}{9-(4i^{2} )} =\frac{3+2i}{9-4(-1)} =\frac{3+2i}{13}$

Thus, the multiplicative inverse would be $\frac{3}{13} + \frac{2i}{13}$

The problem asks us to verify this by multiplying both numbers to see that the answer is 1:

Let's multiplicate this number by 3 - 2i to confirm:

$(3-2i)(\frac{3+2i}{13}) = \frac{9-4i^{2} }{13} =\frac{9-4(-1)}{13}= \frac{9+4}{13} = \frac{13}{13}= 1$

Thus, the number we found is indeed the multiplicative inverse of 3 - 2i

4 0

2 years ago