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3 years ago

In CAT entrance examination paper there are 3 sections, each containing 5 questions. A candidate has to solve 5,

1 answer:

4 0

The best and most correct answer providedfrom your question about the entrance examination paper is the second option which is 2,250. The problem can be solved by:

3-1-1 : 5c3*5c1*5c1 *3!/2! = 750
2-2-1 : 5c2*5c2*5c1 *3!/2! = 1500

Adding the two answers:

750 + 1500 = 2250

I hope it has come to your help.

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The perimeter of a rectangular table is 8 m.

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Answer:

The side lengths are 1.5m and 2.5m.

Step-by-step explanation:

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2 years ago

Use the side-splitter theorem to solve for x in the triangle below.

fiasKO [112]

Answer:

$x = 7$

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

$\frac{x}{21} = \frac{8}{24}$

Solve for x

$\frac{x}{21} = \frac{1}{3}$

Multiply both sides by 21

$\frac{x}{21}*21 = \frac{1}{3}*21$

$x = \frac{21}{3}$

$x = 7$

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2 years ago

Construct a truth table for the statement: (p v q) v (~p ^ q) -> q

Gnom [1K]

Step-by-step explanation:

We have the following statement $(p\lor q)\lor(\lnot p \land q) \rightarrow q$

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The simple statements from the statement given are:

$\lnot p$ , $p\lor q$ , $\lnot p \land q$ , and $(p\lor q)\lor(\lnot p \land q)$

This is the truth table.

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3 years ago

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

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3 years ago

The sides of a triangle have lengths 8, 14, and 15. What kind of triangle is it?

BARSIC [14]

It is an acute triangle bc 8 squared + 14 squared is 260 and that is more than 15 squared (225)

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3 years ago