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3 years ago

A cube has six sides that are numbered 1 to 6

Mathematics

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

The correct answer is first option. 0

Step-by-step explanation:

It is given that,a cube has 6 sides numbered 1 to 6. The sides numbered 1, 3 and 5 are yellow.And sides numbered 2,4 and 6

To find the probability

The even numbers are 2, 4 and 6 and,

the yellow color sides are 1, 3 and 5.

Therefore probability of rolling the cube and getting a yellow and even number is 0.

The correct answer is first option. 0

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What is the side of squire room whose area is 144sq.m ?

Vesnalui [34]

$S = a^2 \rightarrow a = \sqrt{S} = \sqrt{144} = 12.$

7 0

3 years ago

Write the rule for the nth term of the following sequence.

denis-greek [22]

Answer:

$2^{n-3}$ is the nth term of the given sequence.

Step-by-step explanation:

The sequence given is

$\frac{1}{4},\frac{1}{2},1,2,4 .....$

We can clearly see that 1st term is $\frac{1}{4}$ and 2nd term is $\frac{1}{2}$

2nd term is obtained by multiplying the 1st term by 2.

2nd term is $\frac{1}{2}$ and 3rd term is 1.

3rd term is obtained by multiplying the 2nd term by 2.

3rd term is 1 and 4th term is 2.

4th term is obtained by multiplying the 3rd term by 2.

Clearly, the given series is a Geometric Progression(GP) with

First term, $a = \frac{1}{4}$

Common Ratio, $r = 2$

We know that $n^{th}$ term for a GP is:

$a_n = ar^{n-1}$

Putting values of a and r

$a_n = \dfrac{1}{4}2^{n-1}\\a_n = \dfrac{1}{2^{2} }2^{n-1}\\a_n = 2^{n-1-2}\\a_n = 2^{n-3}$

Hence, $2^{n-3}$ is the nth term of the given sequence.

3 0

3 years ago

Find 5% less than rupees 180

Nutka1998 [239]

Answer:

5% less of 180, or 95% of 180

Step-by-step explanation:

FInd 10% of 180, 18, multiply 18 by 9.

18 x 9 = 162, find half of 18 which is 9.

Add to 162.

162 + 9 = 171.

Therefore,

5% less of 180 is 171.

8 0

3 years ago

Baby Rachel wants to arrange 12 blocks in a row. How many different arrangements can she make

Nataly_w [17]

Answer:

479,001,600 different arrangements

Step-by-step explanation:

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3 years ago

The trapezoid in the figure has equal nonparallel sides. The upper base is 6, the lower base is 16, and the diagonal is 12. What

tamaranim1 [39]

draw the figure first (label everything you know).
add two altitudes, from the endpoints of the top base
you know that the bottom base is now divided 5-6-5
using that and the diagonal, pythagorean theorm can be used to find the altitude:
(c^2)-(a^2)=(b^2)
(12^2)-(11^2)=b^2
b^2=23
altitude is about 4.8

7 0

3 years ago