-2x-4=16
Show each step of your work.

Answer:

The Emperor Hotel in Bangkok has the higher z-score, so it is more expensive compared to other hotels in its city.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The most expensive hotel has the higher z-score. So

Emerald Hotel in Moscow:

Costs $200, which means that [tex]X = 200[/tex]

The average hotel price in Moscow is $216 per night with a standard deviation of $32, which means that [tex]\mu = 216, \sigma = 32[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 216}{32}[/tex]

[tex]Z = -0.5[/tex]

Ocean View Hotel in Cancun

Costs $183, which means that [tex]X = 183[/tex].

The average hotel price in Cancun is $161 per night with a standard deviation of $22, which means that [tex]\mu = 161, \sigma = 22[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{183 - 161}{22}[/tex]

[tex]Z = 1[/tex]

Emperor Hotel in Bangkok

Costs $120, which means that [tex]X = 120[/tex].

The average hotel price in Bangkok is $100 per night with a standard deviation of $17, which means that [tex]\mu = 100, \sigma = 17[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 100}{17}[/tex]

[tex]Z = 1.18[/tex]

The Emperor Hotel in Bangkok has the higher z-score, so it is more expensive compared to other hotels in its city.

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

A) The probability that one of the numbers is odd is; 96%

B) The probability that the sum of the digits is odd is; 48%

C) The probability that the number is greater than 70 is; 25%

We are given the prime numbers;

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

This is a total of 25 prime numbers.

Thus; N = 25

A) The number of odd numbers are 24.

Thus,probability of selecting an odd number is;

P(odd number) = 24/25

P(odd number) = 0.96 or 96%

B) The numbers that their sum is odd are:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89

Kindly note that the single numbers are added to zero to make them odd too.

Thus there are 12 of them that their sum are odd.

P(sum is odd) = 12/25

P(sum is odd) = 0.48 or 48%

C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.

Thus;

P(number is greater than 70) = 6/25

P(number is greater than 70) = 0.25 or 25%

Read more about probability of selection of numbers at; https://brainly.com/question/251701

Answer:

Step-by-step explanation:

Hi. 6.3 meters to millimetres is 6300

Answer:

the answer is D

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Finding the perimeter consists of adding all sides together. thus 4+10+15=29

The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units,  29 units

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

The length of sides,

4 units

10 units

15 units

Perimeter = ?

Perimeter  = Total sum of lengths of sides

                 =   4 + 10 + 15

                 =    29 unit

Hence, the perimeter is 29 unit

To know more about Perimeter check:

https://brainly.com/question/6465134

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Answer:

F

Step-by-step explanation:

Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

Answer:

6 I guessed by looking at the equation

Step-by-step explanation:

Sorry if wrong

Answer:

17.5

Step-by-step explanation:

Those angles are supplementary, in other words, they add up to 180°

To solve you set the expressions up to 180:

(5x - 30) + 7x = 180

12x - 30 = 180

12x = 210

x = 17.5

Answer:

the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24

Answer:

0.2 miles

Step-by-step explanation:

Answer:

1/512 or 1/8^3

Step-by-step explanation:

Answer:

I- What? yes?

Step-by-step explanation:

Answer:

С) 80

вот правильный ответ

Answer:

The answer is -2( x + 2)

Step-by-step explanation:

Factor the polynomial.

Hoped this helped!

Brainly, Please?

The complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).

The given polynomial is 2x³-10x²-2x+10.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factorization of the given polynomial is as follows:

2x³-10x²-2x+10

= 2x²(x-5)-2(x-5)

= (x-5)(2x²-2)

= 2(x-5)(x²-1)

Now, x²-1=(x+1)(x-1) (∵(a²-b²=(a+b)(a-b))

So, 2(x-5)(x+1)(x-1)

Therefore, the complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).

To learn more about the factorization of polynomial visit:

https://brainly.com/question/16789195.

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Answer:check explanation below

Step-by-step explanation:

Okay so for Part A: since B is the midpoint of SM, SM=SB+BM. Therefore, you can set them both equal to each other which would be 4x=98.3. You divide both sides by 4 to get the value of x which is 24.575. Now you substitute 24.575 back into 4x and you get 98.3. Since SM=SB+BM, you do 98.3+98.3 and SM=196.6.

Part B: For part b you do the same thing as A to find the values of x y and x. You already know that x=24.575. For Y, since T is the midpoint of DS you can set ST=TD. This means that 123.4=2/5y. When you solve for y you get y=308.5. Lastly, for z since N is the midpoint of MD, MN=ND. So 102=7/10z. When you solve for z you get approximately 145.7. Now you just add them together -- 24.575+308.5+145.7= 478.775.

Part C: NT is half of SM. Since SM is 196.6, NT is 98.3. TB is half of MD. MD is 203.99 so TB is 101.995. BN is half of SD. SD is 246.8 so BN is 123.4

So, NT+TB-BN is 98.3+101.995-123.4 which equals 76.895

Answer:

its 7,000

Step-by-step explanation:

its 7,000 because the 5 in the hundreds place is 5 or higher so any that is higher then 5 you add a 1 to the number you rounding and you take it over to the next column.

Answer:

1. A

2. B.

3. 2^3 or 8

4. C.

Step-by-step explanation:

use mathaway

Answer:

9:19

Step-by-step explanation:

Total number of students = 28

Number of boys = 19

Number of girls = Total number of students - Number of boys = 28-19 = 9

Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19

Answer: 9:19

Step-by-step explanation: The total number of students is 28.

Subtract the number of boys, 19

28 - 19 = 9 girls  

Use those numbers for the ratio.  

girls:boys

9:19

Answer:

The ratio of boys to girls is [tex]\frac{16}{20}[/tex]

The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Boys to girls:

There are 16 boys and 20 girls.

So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]

Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

Girls to total students

There are 20 girls and 20 + 16 = 36 total students.

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Answer:

w = 2.7

Step-by-step explanation:

To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.

Answer:

20.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]

Answer: The first one is nonlinear, the second is nonlinear, and the third is linear.

Step-by-step explanation: The first one is nonlinear because when you calculate slope you get different numbers.

7-4/2-1 = 3/1= 3

4-3/1-0= 1/1= 1

Also when you graph it, it does not become a line. I can attach an image for evidence (Credits to other person who answered and commented on my answer thanks for finding my mistake.)

The second one has an exponent on the x, so it is not linear.

The third is a line so it is linear.

Answer:

Nonlinear, Nonlinear, Linear

Step-by-step explanation:

For if you graph 1 and 2 you will see both are not increasing evenly like a straight line, only the graph 3 shows a linear line.

Answer:

57.1% (to 3 s.f.)

Step-by-step explanation:

12/21 *100