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1 year ago

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A classroom of children has 18 boys and 19 girls in which five students are chosen at random to do presentations. What is the pr

obability that more boys than girls are chosen

1 answer:

andreyandreev [35.5K]1 year ago

5 0

Answer: 76/8547

Step-by-step explanation:

two possibilities

3 boys or 4 boys it would end up as

(18C3+18C4)/37C5

You might be interested in

The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.

Klio2033 [76]

Answer:

1. the probability that giraffe will be shorter than 17 feet tall is equal to 0.1056

2. the probability that a randomly selected giraffe will be between 16 and 19 feet tall is equal to 0.8882

3. the the 90th percentile for the height of giraffes is 19.024

Step-by-step explanation:

To calculate the probability that a giraffe will be shorter than 17 feet tall, we need to standardize 17 feet as:

$z=\frac{x-m}{s}$

Where x is the height of the adult giraffe, m is the mean and s is the standard deviation, so 17 feet is equivalent to:

$z=\frac{17-18}{0.8}=-1.25$

Now, the probability that giraffe will be shorter than 17 feet tall is equal to P(z<-1.25). Then, using the standard normal distribution table, we get that:

$P(z$

At the same way, 16 and 19 feet tall are equivalent to:

$z=\frac{16-18}{0.8}=-2.5\\z=\frac{19-18}{0.8}=1.25$

So, the probability that a randomly selected giraffe will be between 16 and 19 feet tall is equal to:

$P(-2.5$

Finally, to find the the 90th percentile for the height of giraffes, we need to find the value z that satisfy:

$P(Z$

Now, using the standard normal distribution table we get that z is equal to 1.28. Therefore, the height x of the giraffes that is equivalent to 1.28 is:

$z=\frac{x-m}{s} \\1.28=\frac{x-18}{0.8} \\x=(1.28*0.8)+18\\x=19.024$

it means that the the 90th percentile for the height of giraffes is 19.024

4 0

3 years ago

Juan wants to find out the percentage of students in his middle school who like to watch soccer. Which of the following strategi

gayaneshka [121]

Answer:

C or D

Step-by-step explanation:

My gut feeling tells me its either these 2.

Hope i helped:)

7 0

3 years ago

A basketball team averaged 105 points per game how many points did the team score in 6 games

Novosadov [1.4K]

630 points.
You have to multiply 105 and 6, resulting as the answer.

3 0

3 years ago

Read 2 more answers

Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′

worty [1.4K]

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

$(x',y') = (-x,y)$ (Eq. 1)

ii) Translation three units in the -y direction:

$(x'',y'') = (x', y'-3)$ (Eq. 2)

iii) Translation four units in the -x direction:

$(x''',y''') = (x''-4, y'')$ (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) $D(x,y) = (-1, 4)$ Given.

2) $(x',y') = (1,4)$ By (Eq. 1)

3) $(x'',y'') = (1, 1)$ By (Eq. 2)

4) $D'(x,y) = (-3,1)$ By (Eq. 3)/Result

7 0

3 years ago

Evaluate O! + 1!.<br> a. 1<br> b. 2

ss7ja [257]

<u>Answer</u><u>:</u>

0! = 1

1! = 1

0! + 1! = 1 + 1 = 2

4 0

3 years ago