Find the Value of each power.

Let E1 be the event that tails come up when the coin is tossed the first time and E2 be the event that heads come up when the co

Norma-Jean [14]

Answer:

Step-by-step explanation:

In the tossing of a fair coin, there are equal probabilities of getting a HEAD and getting a TAIL.

Total probability is always 1 and a coin has 2 faces - Head & Tail.

The probability of getting a Head is 1/2 = 0.5

The probability of getting a Tail is 1/2 = 0.5

E1 is the event that TAIL comes up when the coin is tossed the first time

E2 is the event that HEAD comes up when the coin is tossed the second time

The probability value for EVENT 1 is 0.5

The probability value for EVENT 2 is 0.5

8 0

4 years ago

Can someone help me please

Alex_Xolod [135]

Answer: 1064 square meters

Step-by-step explanation: area of a triangle is a= 1/2xhxw a=1/2xhx28

h= 76 (90-14)

a=1/2x76x28=1064

7 0

3 years ago

A lease on a car costs $800 for the first three months and then $200 per additional month. Ms. Jessop paid $1,600 to lease the c

bixtya [17]

Answer:

B.

200x + 800 = 1,600; 4 months

Step-by-step explanation:

Since 200 is the amount you pay each month, and x is the months, we pay 200 dollars for each month. We also add 800 because that was the initial price she paid, which is known. We then complete the equation by making it equal to 1600 dollars, which is the total amount she paid.

When we get 200x + 800 = 1,600, we solve for x.

First, we minus 800 on each side to isolate x. 200x=1600-800

Then, we simplify, 200x=800

Lastly we divide by 200 on both sides to completely isolate x and complete the equation. 200x=800÷200

Simplify, getting x=4 (months)

Hope you understood!

8 0

3 years ago

find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round

Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:

$P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$

Where p denotes the probability of success.

We are given that the probability of success if 50%.

i.e. $p=\dfrac{1}{2}$

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6$

$\binom {6}{3}=20$

Hence,

$P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16$

In percentage the probability will be:

$\dfrac{5}{16}\times 100=31.25\%=31.2\%$

8 0

3 years ago

The Warriors made seven out of 15 shots. If the ratio of made to total shots remains constant, how many shots will the Warriors

Ray Of Light [21]

Answer:

28

Step-by-step explanation:

The ratio of shots made to shots total is 7:15. Now since we don't know the shots made from 60 total shots, we can set the ratio as x:60. Since 15 goes into 60 4 times, we can multiply both parts of the ratio by 4 to get 28:60.

8 0

3 years ago