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4 years ago

Twenty five X squared minus one hundred and forty four

1 answer:

5 0

OK.

-- Since it's the difference of two squares,
the factored form of that expression is

(5x + 12) (5x - 12) .

-- We don't know the value of the expression
until you tell us the value of 'x'. And then, if
'x' changes, the value of the expression also
changes, immediately, without any delay.
Faster than the speed of light.

You might be interested in

a sample of 412 adults showed that 293 of them are connected the the internet from home. Construct and interpret a 90% confidenc

Anna [14]

Answer:

CI = (0.674, 0.748)

Step-by-step explanation:

The confidence interval of a proportion is:

CI = p ± SE × CV,

where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).

We already know the proportion:

p = 293/412

p = 0.711

But we need to find the standard error and the critical value.

The standard error is:

SE = √(p (1 − p) / n)

SE = √(0.711 × (1 − 0.711) / 412)

SE = 0.0223

To find the critical value, we must first find the alpha level and the degrees of freedom.

The alpha level for a 90% confidence interval is:

α = (1 − 0.90) / 2 = 0.05

The degrees of freedom is one less than the sample size:

df = 412 − 1 = 411

Since df > 30, we can approximate this with a normal distribution.

If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645. That's our critical value. CV = 1.645.

Now we can find the confidence interval:

CI = 0.711 ± 0.0223 * 1.645

CI = 0.711 ± 0.0367

CI = (0.674, 0.748)

So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.

5 0

3 years ago

Which sentence is incorrect? a) -2>-3 b) -4>-6 c) -2/5=0.4 d) -5/2=0.4

Maru [420]

Answer:

c) -2/5=0.4 d) -5/2=0.4 are incorrect

5 0

3 years ago

One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not incl

goldenfox [79]

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let <em>X</em> = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

$P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32$

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

$E(X)=\sum X\cdot P(X)$

$=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20$

Thus, the player's expectation is a loss of 20 cents.

4 0

3 years ago

I don't know how to solve this equation. Help please. 8!-3!(5!)

kakasveta [241]

The answer is 39600
Use calculator to evaluate it
8!-3!(5!) = 39600
Or
8!=1×2×3×4×5×6×7×8
3!=1×2×3
5!=1×2×3×4×5
Solve it this way by replacing 8!, 3! and 5!

3 0

3 years ago

Simplify the following expression.

levacccp [35]

51x+83y-14x-25y=37x+58y

4 0

4 years ago