A student guesses on every question of a multiple choice test that has 8 questions

The width of Mayas poster Is 2 inches shorter than the length. The graph models the possible area (y)

Nadusha1986 [10]

Answer:

do you have a picture with the problem written out?

8 0

3 years ago

The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.

serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that $p = 0.16$

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136
$

0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

$E = \frac{n}{p}$

In this question, $n = 1, p = 0.16$ . So

$E = \frac{1}{0.16} = 6.25$

The expected number of at-bats until the next home run is 6.25.

6 0

3 years ago

What is square root of 28 approximated to the nearest tenth?

Kryger [21]

Say to yourself - which whole numbers does the square root of 28 lie between.
Well 5 x 5 = 25 and 6 x 6 = 36. So it lies between 5 and 6 and because 28 is a little closer to 25 than it is to 36, we should guess a number that is less than 5.5.

It doesn't matter whether I chose 5.4, 5.3, 5.2 or 5.1 but my best guess would be about 5.2 or 5.3. I already know which is the better of the two having used a calculator. But instead I am going pretend I don't have one handy and I will use 5.2
Now I will divide 28 by 5.2 28/5.2=5.38 rounded to the nearest hundredth.
Now I will find the average of my divisor (5.2) and my answer 5.38
(5.2+5.38)/2 = 5.29 I will use that number (5.29) as my new divisor
28/5.29 = 5.293 rounded. I already have enough information to round the square root of 28 to the nearest tenth. It will be 5.3 since the 9 is large enough
to round the 2 to a 3. 5.3 is the answer.
We could continue to average the answer and the divisor and use the new number to round the square root of 28 to the nearest 100th, 1000th and so on, but because the square root of 28 is irrational, we will never get an exact answer. There is no number times itself that equals 28.

8 0

3 years ago

4. A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent

pickupchik [31]

120,000 + 30% = 156,000

6 0

3 years ago

Rewrite 3/10 as a fraction that could easily be added to 21/100

krek1111 [17]

3/10 × 10 would be 30/100 which would make it easy to add to 21/100 and that would = 51/100

7 0

4 years ago