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3 years ago

Use technology or a z-score table to answer the question.

Mathematics

1 answer:

Hoochie [10]3 years ago

6 0

Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%

Step-by-step explanation:

Since the nightly cost of hotels in a certain city is normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the nightly cost of hotels.

µ = mean cost

σ = standard deviation

From the information given,

µ = $180.45

σ = $24.02

The probability that a hotel in the city has a nightly cost of more than $200 is expressed as

P(x > 200) = 1 - P(x ≤ 200)

For x = 200,

z = (200 - 180.45)/24.02 = 0.81

Looking at the normal distribution table, the probability corresponding to the z score is 0.79

Therefore,

P(x > 200) = 1 - 0.79 = 0.21

The percentage of hotels in the city have a nightly cost of more than $200 is

0.21 × 100 = 21%

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Scientific Notation:<br> what’s (2.2 x 10 to the -4) - (3 x 10 to the 2)

Marrrta [24]

Answer:

$2.23\times10^4$

Step-by-step explanation:

In order to get the answer to this question you need to turn the scientific notations into standard form then subtract the two standard forms.

$(2.2\times10^{-4})-(3\times10^2)$

Turn the notations into standard form:

$2.2\times10^{-4} = .00022$

$3\times10^2=300$

$.00022-300=22300$

$=22300$

Turn into notation form:

$22300 = 2.23\times10^{4}$

Hope this helps.

8 0

3 years ago

According to the rational root theorem, what are all the potential rational roots of f(x)= 5x^3-7x+11

Tems11 [23]

The rational root theorem states that the rational roots of a polynomial can only be in the form p/q, where p divides the constant term, and q divides the leading term.

In your case, both the leading term 5 and the constant term 11 are primes, so their only divisors are 1 and themselves.

So, the only feasible solutions are

$\pm\dfrac{11}{5},\quad\pm 11,\quad \pm\dfrac{1}{5}, \pm 1$

For the record, in this case, none of the feasible solutions are actually a root of the polynomial.

8 0

3 years ago

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to

wolverine [178]

The function for conversions from Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9

C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5

Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius.

5 0

3 years ago

Read 2 more answers

And isosceles right triangle has two legs that are the same length and hypotenuse of 10 inches. Find the dimension of the leg.

amid [387]

Special Triangles Theorem
leg1=leg2=a
hypotenuse=a√2=10
Both Legs are 5√2 inches

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3 years ago

Help!!!!!!!!!!?.........

raketka [301]

Answer:

I think E.