A popular resort hotel has 400 rooms and is usually fully
booked. About 5 ​% of the time a reservation is canceled before
the​ 6:00 p.m. deadline with no penalty. What is the probability
that at l

Answer:

The correct answer is y = | x + 6 |

Answer:

Y=5x - 12

Step-by-step explanation:

Take a point as (x,y) on the (4,8) line,

The slope of equation is 5,

\( \frac{y - 8}{x - 4} = 5\)

Y-8 =5x-20

Y= 5x - 12

The null hypothesis (H0) for this situation would be that there is no difference in the proportion of male and female students with an overall GPA of 3.5 or higher.

The alternative hypothesis (Ha) would be that there is a difference in the proportion of male and female students with an overall GPA of 3.5 or higher.

Formally, we can write the hypotheses as:

H0: p_male = p_female (where p_male represents the proportion of male students with an overall GPA of 3.5 or higher, and p_female represents the proportion of female students with an overall GPA of 3.5 or higher)

Ha: p_male ≠ p_female

The president of the university can test these hypotheses using a hypothesis test for the difference in proportions. She can calculate the test statistic using the sample proportions and sample sizes for male and female students, and then compare it to the appropriate critical value or p-value based on the desired level of significance.

If the test results provide strong evidence against the null hypothesis, she can reject it and conclude that there is a statistically significant difference in the proportion of male and female students with an overall GPA of 3.5 or higher. If the test results do not provide enough evidence to reject the null hypothesis, she can fail to reject it and conclude that there is not enough evidence to suggest a difference in grades between males and females.

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Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

The population of brazil is 5 times more than the population of Argentina

What is population?

The term "population" usually refers to the total number of people living in a particular area, such as a city or town, region, nation, continent, or the entire world. Governments frequently use censuses, a procedure for gathering, analysing, compiling, as well as publishing data regarding a population, to determine the size of a resident population inside their jurisdiction.

We are given that the population of argentine is \(4\)×\(10^7\)

And the population of brazil is \(2\)×\(10^8\)

Now we are asked to find How many times larger is the population of Brazil than the population of Argentina

Now Population of brazil can also be written as \(20\)×\(10^7\)

Now we take the ratio of population of brazil and population of argentine

We get,

\(\frac{20}{4}\)×\(\frac{10^7}{10^7}\)

=5

Hence, population of Brazil is 5 times larger than the population of Argentina

Hence the correct option is option c) 5
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According to the chi square test, yes and at alpha 0.05 there is a significant difference in music preferred by the three restaurants' customers.

The term chi square test refers a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large.

Here we have given that a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants. a random sample of 50 customers from each of three restaurants is selected. the customers are asked to indicate which of three music types: country, jazz, and classical they preferred

And we need to find results deviate significantly from what would be expected due to chance.

While we reading the given question, we know that a researcher is interested in whether a significant trend exists regarding the popularity of certain music played at restaurants.

And the number of samples = 50

When we convert it into the percentage then we get,

=> 50/1000

=> 0.05

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According to the given statement The required number of ways the excursion party can be chosen is 1,057,523,766.

The given problem is a permutation problem, where we have to choose 10 students from a class of 25 students. But, there are 3 students who decided to join together or not join together.

Therefore, we need to consider two cases; one where these 3 students will be joining together and another where these 3 students will not join together.

Case 1: If these 3 students will be joining together, then we can select 7 more students from 22 students excluding these 3 students.

Therefore, the required number of ways = 22P7.

Case 2: If these 3 students will not be joining together, then we need to select either all three or none of them. Therefore, the remaining 7 seats can be filled with 22 - 3 = 19 students.

So, the required number of ways = 19P7.

We know that, the total number of ways to select 10 students from 25 students = 25P10.

So, the required number of ways when three students want to join together or not join together = (22P7) + (19P7) (Since the three students either join together or not join together)The value of 22P7 is given by the formula, nPr = n! / (n - r)!.

Therefore, 22P7 = 22! / 15! (22 - 7)! => 1,048,101,600

The value of 19P7 is given by the formula,

nPr = n! / (n - r)!.

Therefore, 19P7 = 19! / 12! (19 - 7)!

=> 9,422,166

Total ways = (22P7) + (19P7) => 1,048,101,600 + 9,422,166

=> 1,057,523,766

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The number of ways to choose the excursion party can be calculated by considering two cases: one where the 3 students who want to join together are chosen, and another where they are not chosen. The excursion party can be chosen in 682,606 ways from a class of 25 students.

Case 1: All 3 students join the excursion party
In this case, we need to choose the remaining 7 students from the remaining 22 students (since 3 students are already chosen). This can be done in C(22,7) ways, where C(n,r) denotes the number of combinations of selecting r items from a group of n items. Therefore, in this case, the number of ways to choose the excursion party is C(22,7).

Case 2: None of the 3 students join the excursion party
In this case, we need to choose all 10 students from the remaining 22 students (since none of the 3 students are chosen). This can be done in C(22,10) ways.

To find the total number of ways to choose the excursion party, we need to sum up the number of ways from both cases: C(22,7) + C(22,10).

Now, let's calculate the values of C(22,7) and C(22,10) using the formula for combinations:

C(n,r) = n! / (r!(n-r)!)

C(22,7) = 22! / (7!(22-7)!)
C(22,7) = 22! / (7!15!)
C(22,7) = (22*21*20*19*18*17*16) / (7*6*5*4*3*2*1)
C(22,7) = 35,960

C(22,10) = 22! / (10!(22-10)!)
C(22,10) = 22! / (10!12!)
C(22,10) = (22*21*20*19*18*17*16*15*14*13) / (10*9*8*7*6*5*4*3*2*1)
C(22,10) = 646,646

Therefore, the total number of ways to choose the excursion party is 35,960 + 646,646 = 682,606.

So, the excursion party can be chosen in 682,606 ways from a class of 25 students.

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Answer:

Six 20$ bills, Three 50$ bills, One $100 bill

Step-by-step explanation:

6x20=120

3x50=150

1x100=100

120+150+100=370

and there are twice as many 20$ checks than 50$ checks

Answer:

y=91

Step-by-step explanation:

if x=8 when y=56,we can make a formula like this(y=7x) &then we can solve easly

y=7x

y=7*13

y=91

i hope helps you

Answer:

y=3

Step-by-step explanation:

as perpendicular to y axis so it means parallel to x-axis and we measure slope with positive x axis

`A - (1/3)A = (2/3)A` it is the infinite series for the total area left blank if this process is continued indefinitely.

The question states that the midpoints of the sides of an equilateral triangle are connected to form four smaller equilateral triangles.

To determine the total area left blank if this process is continued indefinitely, an infinite series can be used.

When an equilateral triangle is divided into four congruent equilateral triangles, the central triangle is left blank.

Thus, the total area left blank is the sum of the area of the central triangle and the area of the central triangle in each subsequent smaller triangle formed.

Let's assume that the area of the equilateral triangle is A.

The area of the central triangle in the first level is `1/4` of `A`.

The ratio of the sides of the central triangle to the sides of the large equilateral triangle is 1:2,

so the area of the central triangle in each subsequent triangle is `1/4` of the area of the central triangle in the previous triangle.

This gives us the following sequence of central triangle areas:`

1/4A, 1/16A, 1/64A, 1/256A, ....`

This sequence forms a geometric progression with the first term `1/4A` and the common ratio `1/4`.

Thus, the sum of the infinite series of the central triangle areas is given by the formula:

S = a / (1 - r)

where a = `1/4A` (the first term) and

r = `1/4` (the common ratio)

S = `1/4A` / (1 - `1/4`)S = `1/3A

Therefore, the total area left blank is `A - (1/3)A = (2/3)A`.

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The answer is unknown number of inches for the long sides is 14.

Let's solve this problem step by step. We know that the short sides of the rectangle are 2 inches. Let's denote the unknown number of inches for the long sides as 'x'. According to the problem, the long sides are three less than this unknown number, so the length of the long sides can be expressed as 'x - 3'.

The area of a rectangle is given by the formula A = length × width. In this case, the area is given as 22 square inches, and the width (short side) is 2 inches. We can now set up the equation:

22 = 2 × (x - 3)

Simplifying the equation, we have:

22 = 2x - 6

Adding 6 to both sides, we get:

28 = 2x

Dividing both sides by 2, we find:

x = 14

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The correct numerical values that should be used in completing Melissa's table are:

Mathematically, the area of a square can be calculated by using this formula;

A = x²

Where:

A is the area of a square.

x is the side length of a square.

Substituting the given parameters into the formula, we have;

338 = x²

x = √338

x = √2 × √169

x = 13√2 or 18.384776 feet.

For row 2, we have:

A = 6.5²

A = 42.25 square feet.

For row 3, we have:

147.25 = x²

x = √147.25

x = 12.13466 feet.

For row 4, we have:

A = 7²

A = 49 square feet.

We can determine that Melissa's vegetable garden is square-shaped from the data in the table displayed in the image below.

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An equal mass of silver will displace a different volume of fluid than that displaced by gold.

According to the Archimedes principle, when an object is partially or completely immersed in water, the object will experience a force that displaces its own weight of fluid.

Therefore, when the jeweler deceptively replaced “an equal weight” (or equal mass) of gold with silver, we can know that by observing the volume of water displaced in each case. An equal mass of silver will displace a different volume of fluid than that displaced by gold.

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Answer:

The number of days it take to reach half its height is 99 days

Step-by-step explanation:

The given parameters are;

The height to which the beans stalk grew daily = Twice the initial height

The time duration for the bean stalk to reach maximum height = 100 days

Therefore, the growth of the bean stock is in the form of a geometric progression with a common ratio, r = 2

The formula for a  geometric progression = a×r⁽ⁿ⁻¹⁾

Therefore, the height of the bean is given by the formula a×r⁽ⁿ⁻¹⁾

Where;

The first term = a  = 1 (for analysis)

The number of terms (days) = n = 100 for 100 days

Therefore, we have;

After 100 days, the height of the bean = 1×2⁽¹⁰⁰⁻¹⁾ = 2⁹⁹ = 6.34 × 10²⁹

Half the height = 6.34 × 10²⁹/2 = 3.1291265 × 10²⁹

Which gives;

1×2⁽ⁿ⁻¹⁾ = 3.1291265 × 10²⁹

n - 1 = ㏒(3.1291265 × 10²⁹)/㏒(2) = 98

Which gives;

n - 1 = 98

n = 98 + 1 = 99 days.

The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Justin needs to score approximately 80.83 on the test in order to earn an A, which requires an average of 80.

To determine the score Justin needs on the test in order to earn an A, we can calculate the weighted average of their coursework assessments and the test score.

Test grade weight: 60%

Coursework assessments grades: 70, 75, 80, 90

Let's calculate the weighted average of the coursework assessments:

(70 + 75 + 80 + 90) / 4 = 315 / 4 = 78.75

Now, we can calculate the weighted average of the overall grade considering the coursework assessments and the test score:

(0.4 * 78.75) + (0.6 * Test score) = 80

Simplifying the equation:

31.5 + 0.6 * Test score = 80

Subtracting 31.5 from both sides:

0.6 * Test score = 48.5

Dividing both sides by 0.6:

Test score = 48.5 / 0.6 = 80.83

Therefore, Justin needs to score approximately 80.83 on the test in order to earn an A, which requires an average of 80.

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Answer:

red or green

Step-by-step explanation:

Answer:

The color of an apple is Red or Green or Yellow

Step-by-step explanation:

The longer ladder can reach 3 8/7 feet higher than the shorter one.

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Answer:

yes the other guy is right

Step-by-step explanation:

becuz it's always -

- = down/run

The linear functions in each context are presented as follows:

1. y = -0.5x + 4.

2. y = 2x - 1.

3. y = 0.4x + 1.4.

4. C(t) = 7t + 8.

A linear function is defined by the equation presented below:

y = mx + b.

In which the meaning of the variables m and b is presented as follows:

For item 1, the line crosses the y-axis at y = 4, hence the intercept is given as follows:

b = 4.

When x increases by 8, y decays by 4, hence the slope is given as follows:

m = -4/8 = -0.5.

Hence the equation is:

y = -0.5x + 4.

When two lines are perpendicular, the multiplication of their slopes is of -1, hence:

-0.5m = -1

m = 2.

Then:

y = 2x + b.

When x = -1, y = -3, hence the intercept is calculated as follows:

-3 = -2 + b

b = -1.

Hence the equation is:

y = 2x - 1.

For item 3, the slope is calculated as the change in y divided by the change in x, hence:

m = (3 - 1)/(4 - (-1)) = 2/5 = 0.4.

Hence:

y = 0.4x + b.

When x = 4, y = 3, hence the intercept is calculated as follows:

3 = 0.4 x 4 + b

b = 3 - 1.6

b = 1.4.

Hence the equation is:

y = 0.4x + 1.4.

For cost functions, we have that:

Hence, for item 4, the equation is:

C(t) = 15 + 7(t - 1) -> considering that 7 is only charged after the first hour

C(t) = 15 + 7t - 7

C(t) = 7t + 8.

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Answer:

\(2m=45\)

Step-by-step explanation:

He earned twice as much washing cars, which is \(2m\). This is given to be equal to 45.

answer:

x + 5 \(\leq\) - 19

simplified answer:

x \(\leq\) - 19 - 5

x \(\leq\) -24

Answer:

1). 114.29 km per hour

2). 93.24 km per hour

Step-by-step explanation:

Question (1)

Umar drove his taxi in two parts;

1). Ipoh to Tapah

2). Tapah to Kuala Lumpur

Since, the formula to calculate the average speed = \(\frac{\text{Distance}}{\text{Time}}\)

Total distance from Ipoh to Tapah = 60 km

Average speed to cover this distance = 100 km per h

Time taken to cover this distance = \(\frac{\text{Distance covered}}{\text{Speed}}\)

                                                            = \(\frac{60}{100}\)

                                                            = 0.6 hours

Total distance from Ipoh to Kuala Lumpur = 220 km per h

Average speed from Ipoh to Kuala Lumpur = 110 km per h

Time taken to cover the distance = \(\frac{220}{110}\) = 2 hours

Distance from Tapah to Kuala lumpur = 220 - 60

                                                               = 160 km

Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6

                                                                                   = 1.4 hours

Average speed from Tapah to Kuala Lumpur = \(\frac{160}{1.4}\)

                                                                           = 114. 29 km per hour

Question (2).

Speed achieved by the leopard = 25.9 meter per sec.

Since, 25.9 meter = \(\frac{25.9}{1000}\) km

                              = 0.0259 km

1 second = \(\frac{1}{3600}\) hour

Therefore 25.9 meter per second = \(\frac{0.0259}{\frac{1}{3600} }\)

                                                        = 0.0259 × 3600

                                                        = 93.24 km per hour

Answer:

311

Step-by-step explanation:

11x13=143

14x12=168

143+168=311