3. During a school trip, Class 6 students of a school saw the sign shown below at the entrance of an amusement park ride. Which of the following can be the MAXIMUM number of these students who can take the ride at the same time?
Sign
The Lazy Poseidon Maximum Capacity 1000 kgs Have Fun!

a. 5
b. 20
c. 50
d. 100 ​

Answer:

j

Step-by-step explanation:

l

The statement "the sum of a two-digit number is less than the value of the original two-digit number" can be rewritten as conditional statement. If the sum of two digits of a two-digit number is less than the value of the original two-digit number, the number is valid.

A conditional statement, "if p, then q," with p representing the hypothesis and q representing the conclusion. We can identify the hypothesis and conclusion by rewriting the statement "the sum of the digits of a two-digit number is less than the value of the original two-digit number" as an if-then conditional statement.

The hypothesis is the condition that must be satisfied in order to valid the conclusion. In this case, the hypothesis is "the sum of the digits of a two-digit number is less than the value of the original two-digit number".

By combining these, we can rewrite the statement as follows:

If the sum of a two-digit number's digits is less than the value of the original two-digit number, the number is valid.

The hypothesis (the sum of the digits of a two-digit number is less than the value of the original two-digit number) is a sufficient condition for the conclusion, according to this conditional statement (the number is valid). In other words, if the hypothesis is correct, we can be certain that the conclusion is correct as well.

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Answer:

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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Answer:

i believe the answer would be option D

Step-by-step explanation:

The minimum amount one will pay making a deposit of notes and coins is R7.25.

Here, we have,

To determine the minimum amount one will pay when making a deposit of notes and coins, we need to consider the costs mentioned in Table 2.

According to Table 2, the cost for notes deposit is R2.25 per R100 (or part thereof) deposited, and the cost for coins deposit is R5 per R100 (or part thereof) deposited.

To calculate the minimum amount, we need to determine the lowest possible value for both the notes and coins deposit costs.

For notes deposit:

The minimum value would be R2.25, as it is the cost for depositing less than R100 worth of notes.

For coins deposit:

The minimum value would be R5, as it is the cost for depositing less than R100 worth of coins.

To calculate the total minimum amount, we sum up the costs for notes and coins deposits:

Minimum amount = R2.25 (notes deposit cost) + R5 (coins deposit cost)

Minimum amount = R7.25

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Answer:

15

Step-by-step explanation:

Because 3/4 of 20 or 75% of 20 is 15

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

7, 10, 13, 16 and 34

Step-by-step explanation:

\(let \: t_{n} = 3n + 4 \\ when \: n = 1 \\ t_{1} = 3.1 + 4 = 3 + 4 = 7 \\ \\ when \: n = 2 \\ t_{2} = 3.2 + 4 = 6 + 4 = 10 \\ \\ \ when \: n = 3 \\ t_{3} = 3.3 + 4 = 9+ 4 = 13 \\ \\ when \: n = 4 \\ t_{4} = 3.4 + 4 = 12+ 4 = 16 \\ \\ when \: n = 10 \\ t_{10} = 3.10 + 4 = 30+ 4 = 34 \\ \\ \)

Thus the 1st, 2nd, 3rd, 4th and 10th terms are 7, 10, 13, 16 and 34 respectively

Answer:111

Step-by-step explanation:

1111

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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Answer:

49500 square feet

Step-by-step explanation:

Recall that the area of a rectangle is given by the prodict of the length times the width:

Area = Length x Width

Area = 300 ft x 165 ft

Area = 49500  ft^2

Answer:

49,500 feet squared

Step-by-step explanation:

Area = length times width

Area = 300 times 165

Area = 49,500 feet squared

(a) The sequence formed by the given numbers is: 40, 24, 56, 16, 36, 72, 8, 48, 32.

(b) The sum of the given arithmetic series is 324.

Based on the given table, we can observe the following pattern:

Using these patterns, we can fill in the missing entry in the second row as follows:

So, the completed table looks like this:

40 | 24 | 56 |

16 | 36 | 72 |

8 | 48 | 32 |

The sum of the series is calculated as;

S = n/2(a + l)

Using this formula, we can find the sum of the given arithmetic series. Since there are 9 terms in the series, and the first term is 40, and the last term is 32, we have:

S = 9/2 x (40 + 32)

S = 9/2 x 72

S = 324

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Answer:

More students have hazel eyes than blue.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:60.97

Step-by-step explanation: tan 49 = opposite/adjacent = x/53

tan 49 = x/53

tan 49/1 = x/53

53 tan 49 = x

x = 60.969

x = 60.97

The height of tree is 60.97 feet tall on the ground is 53 feet from the tree.

Trigonometry uses the first six fundamental trigonometric functions. Trigonometric proportions are these functions. The six fundamental trigonometric functions are the sin function, cosine function, secant function, and so on.

As per the data given in the question,

tan 49° = opposite/adjacent

tan 49° = x/53

tan 49/1 = x/53

x = 53 tan 49°

x = 60.969 or,

x = 60.97 feet. (rounding off value)

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The length of e is given as follows:

e = 29.5 inches.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

Considering that the sum of the measures of the internal angles of a triangle is of 180º, the measure of angle E is given as follows:

<E = 180 - (140 + 5)

<E = 35º.

Hence the length e is obtained applying the law of sines as follows:

sin(35º)/e = sin(140º)/33

e = 33 x sine of 35 degrees/sine of 140 degrees

e = 29.5 inches.

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Using probability concepts, it is found that P(S and D) = 0.1275.

-----------------------

\(P(S \cap D) = 2 \times \frac{13}{52} \times \frac{13}{51} = \frac{2\times 13 \times 13}{52 \times 51} = 0.1275\)

Thus, P(S and D) = 0.1275.

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The expected value of the number of upgrades selected is 1.04.

The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.

First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:

1 = f(0) + f(1) + f(2) + f(3)

1 = 0.50 + 0.20 + 0.06 + f(3)

f(3) = 1 - (0.50 + 0.20 + 0.06)

f(3) = 0.24

Now that we know the value of f(3), we can calculate the expected value as follows:

E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)

E(X) = 0 + 0.20 + 0.12 + 0.72

E(X) = 1.04

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Answer:

Step-by-step explanation:

Step-by-step explanation:

19. Kim's Path = √240² + 100²

= √57600 + 10000

= √67600

= 260 ft.

Answer:

17 question: we are going to use Pythagorean Theorem :

33^2 + 56^2 = x^2

1089+3165 = x^2

4225=x^2

x=-65

x=65

the answer is c)65

18 question i dont know :((

19 question : we are going to use same method as the first question : the answer is 260 ft

that's all that i can do for you

Step-by-step explanation:

hope this helps you :)

Answer:

area is 11 mm squared

Step-by-step explanation:

A=bh

A=5.5*2

A=11 mm squared

The distance after 45 minutes is 35 miles and the distance after 75 minutes is 55 miles

The table of values is given as:

t (minutes) 15,30,45,60,75

f(t) (miles) 5,20,35,50,55

The above means that the variable f is a function of t

i.e f(t) and the inverse function is f-1(t)

From the table of values, we have:

f(45) = 35

This means that the distance after 45 minutes is 35 miles

Also,

From the table of values, we have:

f-1(55) = 75

This means that the distance after 75 minutes is 55 miles

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The  number of visits Liam can make to earn his first free movie ticket is: 8.4.

Let x represent the number of visits

Formula
55+12.5×x=160

Re-arrange

12.5x=160-55

12.5x=105

Divide both side by 12.5x

x=105/12.5

x=8.4 visits

Therefore the  number of visits Liam can make to earn his first free movie ticket is: 8.4.

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Answer:

\(x>\frac{10}{3}\)

Step-by-step explanation:

\(3/5x+1/3<4/5x-1/3\\\\\frac{3}{5}x+\frac{1}{3}<\frac{4}{5}x-\frac{1}{3}\\\\\mathrm{Subtract\:}\frac{1}{3}\mathrm{\:from\:both\:sides}\\\\\frac{3}{5}x+\frac{1}{3}-\frac{1}{3}<\frac{4}{5}x-\frac{1}{3}-\frac{1}{3}\\\\Simplify\\\\\frac{3}{5}x<\frac{4}{5}x-\frac{2}{3}\\\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\\\\frac{3}{5}x-\frac{4}{5}x<\frac{4}{5}x-\frac{2}{3}-\frac{4}{5}x\\\\Simplify\\\\-\frac{1}{5}x<-\frac{2}{3}\\\)

\(\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-\frac{1}{5}x\right)\left(-1\right)>\left(-\frac{2}{3}\right)\left(-1\right)\\\\Simplify\\\\\frac{1}{5}x>\frac{2}{3}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times\frac{1}{5}x>\frac{2\times\:5}{3}\\\\Simplify\\\\x>\frac{10}{3}\)

Answer:37

Step-by-step explanation: The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.

We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.--Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.

The correct interpretation of this value of the mean of the total amount of goals Corey and Dione made in a week is A. On average, Dione makes 138 goals per week.

In mathematics, the mean is the average.

The average is computed as the quotient of two values with one as the numerator and the other as the denominator.

The average shows a measure of center and results from a division operation.

Let the number of goals Corey made in a week = C

Let the number of goals Dione made in a week = D

The sum of the goals Corey and Dione made = C + D

The number of soccer practice participants = 2

The mean of the goals made = (C + D)/2

If the average goals per week = 138

The total goals per week = 276 (138 x 2)

Thus, Option A is correct.

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At confidence, how large a sample should be taken to obtain a margin of error for the estimation of a population proportion? We now assume that past data are not available for developing a planning value for

Preliminary estimate for proportion (Not Known) is equal to 0.5

Margin of error = E = 0.03

Level of significance = 1-0.99 = 0.01

Z critical value is considered as (by using Z table) = 2.576

So, the sample size formula is taken as

n = [p(1 – p)]\(\left[Z/E]^{2}\)

=[0.5*(1-0.5)] [2.576/0.03]\(^{2}\)

=1,843.03                    

Hence, the sample size is approximately will be 1,844

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Answer:

15,894.06

Step-by-step explanation:

HI there!

This is a compound interest question, so we will use the formula

\(x = p(1+\frac{r}{n})^n^t\)

P being our principle amount, $15,000 in this case,

R being our rate, or 1.25

N being our compound rate, which is semiannually, or twice a year.

T is our time, being 3.

After plugging these values in, we get

15,894.06

I hope this helps!

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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