Explanation

We solve: x^2=32

√x^2=+_√32 

x= +_√32

Simplify the square root

x = +_ √16.5

x = +_ √16.√2

x = +_  4√2

Answer: (D) None of these

Explanation

The greatest source of religious knowledge, according to revealed religions, is revelation.

Revealed Religions:

Many major religions, including Judaism, Christianity, and Islam

Consider revelation to be a primary source of religious knowledge.

Explanation

 Let's analyze the problem:

• Total marbles in the jar: 5 (red, white, blue, yellow, and 1 more color)

• 4 marbles are removed.

• Find the probability that the yellow marble was removed.

Step 1: Total ways to remove 4 marbles from 5

Step 2: Number of ways to remove 4 marbles, including yellow

To include the yellow marble, we must select the yellow marble and 3 others from the remaining 4 marbles:

Step 3: Probability yellow marble is removed

Explanation

The probability that someone is between Aviva and Naomi

• Aviva is the 37th person.

• Naomi is the 67th person.

• "Between" refers to people aged 37 to 67, i.e., positions 38 through 66.

Number of people between them = 66 − 38 + 1 = 29 people

There are 100 people total.

So the probability that a randomly chosen person is between them is:

$$\frac{\mathrm{<font\; color="\#0000ff"><span\; style="background-color:\; rgb(255,\; 255,\; 0);">29</span></font>}}{\mathrm{<span\; style="font-size:\; 0.875rem;"><font\; color="\#0000ff"\; style="background-color:\; rgb(255,\; 255,\; 0);">100</font><span\; style="font-family:\; Overpass,\; sans-serif;"></span></span>}}$$

Explanation

 Uranium is not a fossil fuel; Coal and Oil are. 

Fossil fuels are formed from the remains of decomposed organic matter (plants and animals) over millions of years.

Uranium, a radioactive element, is not formed from organic matter and is considered a nuclear fuel, not a fossil fuel

Explanation

We are given:

$$$$h3=64

To find the value of h, take the cube root of both sides:

$$$$h=3^√64 =4

So the value of h is 4.

But the question asks for the value of n, not h.

Since n is never defined, we cannot determine n from the given equation.

Answer: (D) None of these (assuming it's not a typo and the question asked for "n").

If the question meant "the value of h", then the answer would be (B) 4.

Explanation

"If you lose your passport, you will be in great trouble."

In a first conditional sentence, we use the present simple tense in the if clause and the future simple (will + verb) in the main clause.

Here, "lose" (present simple) is correct because it is used in the if clause to indicate a possible future event.

Explanation

We are told:

• Circumference of a circle = a

• Area of the circle = b

• And a = b

We know the formulas:

• Circumference:

  $$a = 2pi r$$
  

• Area:

  $$b=\pi r^2$$r=0orr=

Since $a = b$, set the formulas equal:

$$2pi r = pi r^2$$

Divide both sides by $pi$:

$$2r = r^2$$

Rearrange:

$$r^2 - 2r = 0 Rightarrow r(r - 2) = 0$$

So the solutions are:

r=0 or r=2

Explanation

 We are given:

• Red balls = 8

• Blue balls = 7

• Green balls = 6

Total balls = 8 + 7 + 6 = 21

We are asked to find the probability that the ball is neither red nor green.

That means we want the probability that the ball is blue.

Number of favorable outcomes = Number of blue balls = 7

Probability = (Favorable outcomes) / (Total outcomes)

= 7/31

=1/3
$$721=13frac{7}{21} = frac{1}{3}

Explanation

Part=3/8/1/12​​

=3​/8×12/1​

=36/8​

=9/2​