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3 years ago

7

A coin is loaded so that the probability of getting heads is 3/4. If the coin is flipped twice, what is the probability of getti

ng heads twice?

1 answer:

baherus [9]3 years ago

5 0

The answer is 0.5625 or 9/16

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A tool set is on sale for 424.15$. The original price set was 499.00$. What percent of the original price is the sale price?

coldgirl [10]

First you take the original set and subtract it by the sale set. After that you take you new answer and divide it by the original and you will get a percent that you can round too

7 0

3 years ago

Read 2 more answers

Write a polynomial of degree 5 with zero x=0,i square root 7, -2i

professor190 [17]

Answer:

$P(x)=x^5+11x^3+28x$

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

$P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)$

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

$x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}$

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

$x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}$

Let's build up the polynomial, assuming a=1:

$P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})$

Since:

$(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2$

$P(x)=(x)(x^2+7)(x^2+4)$

Operating the last two factors:

$P(x)=(x)(x^4+11x^2+28)$

Operating, we have the required polynomial:

$\boxed{P(x)=x^5+11x^3+28x}$

7 0

3 years ago

Simplify 3 square root of 10 end root plus 7 square root of 15 end root minus 6 square root of 10 end root minus 4 square root o

alexira [117]

3√10 + 7√15 - 6√10 - 4√15
3√10 - 6√10 + 7√15 - 4√15
-3√10 + 3√15

The answer is B.

3 0

4 years ago

Read 2 more answers

According to the Behavioral Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary mea

sammy [17]

Answer:

Step-by-step explanation:

Hello!

The variable is X: number of sedentary people in a sample of 12.

This is a discrete variable with a binomial distribution and the probability of success is p=0.58. To determine if a variable has or not a binomial distribution you have to see if it follows the binomial criteria:

Binomial criteria:

1. The number of observation of the trial is fixed n=12

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial. The activity habits on each person are independent of the others.

3. The probability of success in the same from one trial to another p=0.58

So X≈ Bi (n;ρ)

a. If you were to take a sample of n=12.

The expected value (mean) is E(X)= n*p= 0.58*12= 6.96

And the Standard deviation:

V(X)= n*p*q= 12*0.58*(1-0.58)= 2.92

√V(X)= 1.71

b. I'll calculate the probability of exactly 10 persons having sedentary habits using the table of cumulative probabilities, to do so, you have to look for the accumulated probability until 10 and subtract the accumulative probability until 9:

P(X=10) = P(X≤10) - P(X≤9)= 0.9859 - 0.9358= 0.050

I hope you have a SUPER day!

8 0

4 years ago

The figure below is divided into equal - sized parts. Which fraction is represented by the shaded parts of the figure?

konstantin123 [22]

3/6 because it is equivalent to 1/2?

we don't know because it doesn't show the diagram

6 0

3 years ago