A rectangle has a length of 25x to the power of 3 and a width of 5x of power of 2. Find the area in square units.

7.46 rounded to the nearest tenth

atroni [7]

Answer:

7.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g

KIM [24]

Answer:

$3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%$ probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

All girls from the first group:

20 students, so $N = 20$

10 girls, so $k = 10$

5 students will be selected, so $n = 5$

We want all of them to be girls, so we find P(X = 5).

$P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163$

All girls from the second group:

20 students, so $N = 20$

5 girls, so $k = 5$

5 students will be selected, so $n = 5$

We want all of them to be girls, so we find P(X = 5).

$P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006$

All girls from the third group:

20 students, so $N = 20$

8 girls, so $k = 8$

5 students will be selected, so $n = 5$

We want all of them to be girls, so we find P(X = 5).

$P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036$

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

$P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}$

$3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%$ probability that all the 15 students selected are girls

7 0

3 years ago

Lines that are not in the same plane are called lines O A. transversal O B. parallel O c. skew O D. perpendicular

Tpy6a [65]

Answer:

your answer is C.

Lines that are not coplanar and do not intersect are called skew lines.

and incase you need this answer too, Parallel Planes. Two planes that do not intersect are called parallel planes.

4 0

3 years ago

A special filter can process 34 gallon of liquid in 25 minutes. If the filter processes a liquid at a constant rate, what is the

Crazy boy [7]

Answer:

1.36

Step-by-step explanation:

34/25=1.36 wait nvm I messed up

8 0

3 years ago

Read 2 more answers

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to triangle ABC?

Ludmilka [50]

FORMULA:
AREA= AC x h
----------------------
2
PERIMETER= AB+BC+CA

AREA = SQUAREROOT
S(S-AB)(S-BC)(A-CA)

S= AB+BC+CA= P
----------------- -----
2 2

FOR THE COMPLETE SOLUTION PLEASE SEE THE PICTURE. THANKS.

6 0

3 years ago