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lesya [120]
3 years ago
12

Write an equation that models this problem: Trevor paid$528 to stay at the MGM Grand Hotel in Las Vegas for four nights over New

Year's weekend. What was the rate,r, per day to stay at the MGM Grand for New Year's?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

r = $105.6

Step-by-step explanation:

Given,

Amount paid by Trevor for 4 nights = $528

Rate per day = r

Now,

We know that a 4-night stay in the hotel means 5 days to stay at MGM Grand.

Now,

Amount paid = Number of days x Rate per day

$528 = 5 r

r = \frac{528}{5}

r = $105.6

Hence, Trevor pays $105.6 to stay at the MGM Grand Hotel in Las Vegas for four nights.

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About 60% of U.S full-time college students drank alcohol within a one-month period. You randomly select six U.S. full-time coll
Gekata [30.6K]

Answer:

13.82%

Step-by-step explanation:

Here we have proportion of U.S. full time college students= p = 0.60, Random sample = n = 6

Here we apply Binomial distribution .

p ( X =x ) = nCx * px * ( 1 -p) n-x

a) Exactly two.

P ( x = 2 ) =  6C2 * 0.602 * ( 1 -0.60) 6-2

= 0.1382

6 0
3 years ago
Consider two populations of coins, one of the pennies and one of quarters. A random sample of 25 pennies was selected, and the m
Rudik [331]

Answer:

d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.

Step-by-step explanation:

In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.

6 0
4 years ago
0.22y × 0.06 =<br>please help me​
irakobra [83]

Answer:

0.0132y :DDDDDDDDDD

7 0
2 years ago
write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o
Dennis_Churaev [7]

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

3 0
4 years ago
Read 2 more answers
Find the length of the segment with endpoints of (3,2) and (-3,-6).
MakcuM [25]
The formula of the length of the segment AB:
A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}
We have:
A(3;\ 2)\to x_A=3;\ y_A=2\\\\B(-3;\ -6)\to x_B=-3;\ y_B=-6
Substitute:
|AB|=\sqrt{(-3-3)^2+(-6-2)^2}=\sqrt{(-6)^2+(-8)^2}\\\\=\sqrt{36+64}=\sqrt{100}=10
Answer: B) 10.

5 0
4 years ago
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