Test question plz help

While playing blackjack, a gambler loses $17.00 on his first hand, then wins $14.00, and then loses $21.00. Find the gambler’s n

zubka84 [21]

Answer:

Step-by-step explanation:18

8 0

4 years ago

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A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property

gladu [14]

Answer:

A a house in that market that sells for $300,000 is unusual.

Step-by-step explanation:

Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.

The number of houses surveyed by the real estate agent is, n = 1057.

Assume that both the random variables, X and Y are approximately normally distributed.

That is,

$X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})$

To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.

$z=\frac{\text{Raw score}-\mu}{\sigma}$

A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.

(1)

Compute the z-score for X = 300000 as follows:

$z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70$

(2)

Compute the z-score for Y = 3000 as follows:

$z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19$

The z-score for a house in that market that sells for $300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for $300 comma 000 has a z-score of 2.70 and the house with 3000 sq ft has a z-score of 1.19.

5 0

3 years ago

If p(x) = x2 – 1 and q(x) = 5(x-1) which expression is equivalent to (p – q)(x)?

lilavasa [31]

Answer:

Option C is correct.

The expression which is equivalent to (p-q)(x) is, $x^2 -1 - 5(x-1)$

Step-by-step explanation:

Given: $p(x) = x^2 -1$ and q(x) = 5(x-1)

To find the expression which is equivalent to (p-q)(x):

here p and q both are function assuming;

we can write the expression :

(p-q)(x) = p(x) - q(x) = $x^2 -1 - 5(x-1)$

therefore, the expression which is equivalent to (p-q)(x) is; $x^2 -1 - 5(x-1)$

3 0

4 years ago

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Danny decided to invest his $500 tax refund rather than spending it. He found a bank that would pay him 4% interest, compounded

Blababa [14]

Present value, PV = $500
Future value, FV = 2*PV = 2*500 = $1,000
Rate, r = 4% = 0.04
Compounding times in a year, n = 4 (compounded quarterly)
Time, t = ??

The future value expression is stated as:
FV = PV (1+r/n)^nt

Substituting;
1000 = 500 (1+0.04/4)^4t
2 = (1.01)^4t
ln 2 = 4t ln 1.01
0.6931 = 4t* 0.00995
0.6931 = 0.0398t
t = 17.414 years

Time required for the amount to double is 17.41 years.

5 0

4 years ago

87th term of 12,0,-12

Elan Coil [88]

Answer:

$a_{87} = -1020$