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Alex Ar [27]
3 years ago
10

Ms. Ferguson is considering reserving a room at the Abraham Hotel. The Abraham Hotel charges $239 a night.

Mathematics
1 answer:
skad [1K]3 years ago
6 0
A) 1000/239 = 4.something
Ms. Ferguson could book the room for 4 nights
B) 6 x 239 = 1434
1450/1434 = 1.01
Ms Ferguson was off by 1%
C) 2075/1589 = 1.3058
The price increase was by 31%
D) 2075/1.3 = 1596.153
The price that was found was $1596.15
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Given the following points on a line, find the slope. (-2, -3); (0, -1); (2,1) slope = [?]​
STatiana [176]
I have no idea what you are talking about
3 0
2 years ago
Read 2 more answers
√4x²-20x+25=5-2x<br><br> HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root
Natalka [10]

Answer:

The equal is valid for x≤ 5/2

Step-by-step explanation:

sqrt(4x²-20x+25)=5-2x

Square both sides

(sqrt(4x²-20x+25))^2=(5-2x)^2

Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2

(4x²-20x+25)=25-20x+4x^2

The left side is equal to the right side

We need to check for extraneous solutions

The break point is 5-2x =0

5 =2x

x =5/2

Check x < 5/2

Let x=0

sqrt(4x²-20x+25)=5-2x

sqrt(25)=5

True

Check x=5/2

sqrt(4x²-20x+25)=5-2x

sqrt(4(25/4)-20*5/2+25)=5-2(5/2)

sqrt(25-50+25)=5-5

0=0

True

Check x>5/2

Let x=10

sqrt(4x²-20x+25)=5-2x

sqrt(4*100-20*10+25)=5-2*10

sqrt(400-200+25)=5-20

sqrt(225) = -15

15 does not equal -15

False

The equal is valid for x≤ 5/2

4 0
2 years ago
Help me figure this out
Liula [17]

Hello there!

Solve y.

The answer should be the third option C.

First add -4x from both sides.

4x-2y+-4x=12+-4x

-2y=-4x+12

Then divide by -2 from both sides.

\frac{-2y}{-2} =\frac{-4x+12}{-2}

Simplify should be the correct answer.

y=2x-6

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

3 0
3 years ago
Suppose you roll a fair six-sided die 25 times. What is the probability that you roll 5 or more 6’s on that die?
atroni [7]

Answer:

D. P(5+ 6's) = 0.4063

Step-by-step explanation:

Binomial distribution.

For the distribution to be applicable, the experiment must

1. Have a know and constant number of trials

2. Probability of success of each trial remains constant (and known if available)

3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.

4. Independence between trials.

Let  

n = number of trials  = 25

p = probability of success of each trial  = 1 / 6

x = number of successes  (0 ≤ x ≤ n)  = 5

C(n,x) = number of combinations of picking x identical objects out of n

Applying binomial distribution

P(x,n) = probability of x successes in an experiment of n trials.

= C(n,x) * p^x * (1-p)^(n-x)

For n = 25 trials with probability of success (roll a 6) = 1/6

and x = 5,6,7,8,...25

It is easier to calculate the complement by

P(5+ 6's) = 1 - P(<5 6's)

= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )

1- (

    P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961

    P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051

     P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532

    P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883

    P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171

)

= 1 - 0.59373

= 0.40626

= 0.4063 (to 4th decimal place)

5 0
3 years ago
Line AB contains point A (8,-4) and B (1-5), The slope of line AB is
oee [108]
Slope = change in y / change in x
m = (-5 - -4) / (1 - 8)
m = -1/-7 = 1/7
The answer is C.
7 0
3 years ago
Read 2 more answers
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