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ExtremeBDS [4]
3 years ago
13

If x=36 and Y=4, how many of the following are rational numbers?

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

2 of them

Step-by-step explanation:

sqr root xy and the sqr rt x/y

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.
ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, p=\frac{1}{4}=0.25

Now, 'p' and 'q' are complements of each other. Therefore,

q=1-p=1-0.25=0.75

Now, we need 4 successes. Therefore, x=4

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0
3 years ago
A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re
Irina-Kira [14]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

purple = 2 + 3x

red = x

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

2 + 3x + x = 34

4x = 32

x = 32 \div 4

x = 8

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

purpe = 2 + 3(8)

purple = 26

7 0
3 years ago
The red and the blue triangles drawn on the line are similar.
zavuch27 [327]
Uh oh, this is a problem right ok whta is thus
4 0
3 years ago
Help- plato ) <br>The second- degree term of the expression x^ + 12 X
KatRina [158]

Answer:

Correct Answer is 1 Only 5 x 2 5x2 is the second-degree term. Hence, the correct option is (1)

note :

hope i helped

3 0
3 years ago
the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area​
kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area​ .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3

The curved surface area of the cylinder is given by :

A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0
3 years ago
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