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3 years ago

Anita tosses 3 coins. what is the probability that all the coins will land tails up?

2 answers:

6 0

A trick to get the total outcomes is multiplying the number of possibilities by how many trials. So in this case you multiply 2 x 2 x 2 because the only possible possibilities are tails or heads. And the probability of getting all tails is 1 so therefore the answer is 1/8

notka56 [123]3 years ago

3 0

Probability that one coin will land tail up is 0,5.
If you toss 3 coins the probability that all the coins will land tails up is:
$0,5^{3}= 0,5 * 0,5 * 0,5 = 0,125.$ .

If you have any additional questions please let me know in comments!

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Solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3

Luba_88 [7]

Step-by-step explanation:

f(x) = x³ − 6x² + 9x + 3

Take the derivative and evaluate at x = 2.

f'(x) = 3x² − 12x + 9

f'(2) = -3

Check for local minimums or maximums by setting f'(x) equal to 0.

0 = 3x² − 12x + 9

0 = x² − 4x + 3

0 = (x − 1) (x − 3)

x = 1 or 3

Evaluate f(x) at the critical values, and at the end points.

f(0) = 3

f(1) = 7

f(3) = 3

f(5) = 23

f(x) has a minimum of 3 and a maximum of 23.

5 0

3 years ago

Can anyone someone please help me:((

Masteriza [31]

Answer:

Therefore, the standard for will be:

$y=\frac{1}{4}x^{2}-x-4$

Step-by-step explanation:

The equation of a parabola written as vertical axes is given by:

$(x-h)^{2}=4p(y-k)$ (1)

The vertex of the parabola (h,k) is (2,-5).

The focus (h,k+p) is (2,-4)

Then we can find p knowing that:

h = 2

k = -5

k + p = -4 then p = -4+5 = 1

Putting all these values in equation (1) we will find the equation of the parabola:

$(x-2)^{2}=4(1)(y-(-5))$

$(x-2)^{2}=4(y+5)$ (2)

Now, we need to find the standard form of the equation of the parabola.

Let's recall that standard form is:

$y=ax^{2}+bx+c$

We just need to work out equation (2) to convert it to the standard form.

$(x-2)^{2}=4(y+5)$

$x^{2}-4x+4=4(y+5)$

$\frac{1}{4}x^{2}-x+1=y+5$

Therefore, the standard for will be:

$y=\frac{1}{4}x^{2}-x-4$

I hope it helps you!

6 0

3 years ago

2. On December 31, Juan Carlos made a $ 7,000 deposit in an account that pays 2.975% interest compounded semi-annually. How much

inna [77]

Answer:$ 7425.89

Step-by-step explanation:

Formula to find the compound amount ( compounded semiannually) :-

$A=P(1+\dfrac{r}{2})^{2n}$ , where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.

Given : P= $7000

r=2.975%=0.02975

Time : n= 2

Then, The amount in account after 2 years:-

$A=7000(1+\dfrac{0.02975}{2})^{2\times2}\\\\=7425.88565609\approx7425.89$

Hence, Amount in account after 2 years = $ 7425.89

6 0

4 years ago

Help with 6? I really need all correct answers. Please help!

Lostsunrise [7]

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

= $\frac{2x+6}{3x}$ - $\frac{\sqrt{x}-8 }{3x}$

Since both fractions have a common denominator of 3x, then subtract the numerators leaving the denominator, that is the numerators simplified

2x + 6 - ( $\sqrt{x}$ - 8)

= 2x + 6 - $\sqrt{x}$ + 8 = 2x - $\sqrt{x}$ + 14

Hence

f(x) - g(x)

= $\frac{2x-\sqrt{x}+14 }{3x}$ → A

3 0

3 years ago

Choose the graph below that meets all three of the following requirements: Limit as x approaches 1 minusf(x) = 3 Limit as x appr

Nikolay [14]

Graph D (last one)

<u><em>Step-by-step explanation:</em></u>

edge

6 0

2 years ago