The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 335 people entered the park, and the admission fees collected totaled 940 dollars. How many children and how many adults were admitted?

Here, we want to drop a box plot on the number line given the listed numbers

We have the box plot as follows

The listing of the numbers is the actual way the numbers on the box plot will be listed from left to right

We have this as follows;

Answer:

1.5 m/s

Step-by-step explanation:

Distance = 6.8×1609.344 = 10943.5392

time=2×60×60 = 7200

velocity= distance/time = 10943.5392/7200= 1.51 m/s

It is enough for him to use a simple random sample of 172 cars.

It is required that there are at least 10 successes and 10 failures to test a hypothesis that involves a proportion p in a sample of size n.

Following conditions are required for it:

1) np ≥ 10

2) n (1-p) ≥ 10

p = 6% = 0.06

n = 172

So, there are at least 10 successes and 10 failures in the 172 cars sample, it is enough for him to use a simple random sample of 172 cars.

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Answer: y = 1

Step-by-step explanation:

Given

7 + y = 5(2y - 1) + 3y ← distribute and simplify right side

7 + y = 10y - 5 + 3y

7 + y = 13y - 5 ( subtract y from both sides )

7 = 12y - 5 ( add 5 to both sides )

12 = 12y ( divide both sides by 12 )

1 = y

A linear function is a function in which we add multiple of a constant.

Given data:

We have

Clearly, we have add multiples of 480 to 18,250.

So, the given function represents a linear function.

So, the correct option is (a).

Answer:7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

420÷60 is the same as 42÷6.

42 goes into 6, 7 times:

6, 12, 18, 24, 30, 36, 42.

Therefore, 420÷6 is 7.

Please use a calculator next time.

Answer:

1.75x + 1.25y >= 280

Step-by-step explanation:

1.75x + 1.25y >= 280

Answer:

x = 1, y = 1

Step-by-step explanation:

This Question involves the concept of Solving Simulteanous Equations.

Simulteanous Equations are 2 sets of equation with 2 unknownes to solve. Methods used are Substitution and Elimination methods, use either to solve unless question specify a method.

Example:

2x + 4y = 67

3x + 9y = 90

We are given the 2 equations:

y = 2x - 1 (Equation 1)

2x + y = 3 (Equation 2)

We are asked to use the Substitution Method.

We first substitute Equation 1 to Equation 2 to find the value of x.

2x + (2x - 1) = 3

2x + 2x - 1 = 3

4x - 1 = 3

4x = 3 + 1

4x = 4

x = 4 ÷ 4 = 1

Now we can substitute x into Equation 1 to find the value of y.

y = 2(1) - 1

y = 2 - 1 = 1

Answer:

w = 35

Step-by-step explanation:

29 + 17w = 624

subtract 29 from both side

17 w = 595

divide both sides by 17

w = 35

The Null hypothesis will be expressed as u = 0.79 whereas the Alternative hypothesis will be expressed as. u > 0.79

The null hypothesis (H0) may be used to show that there exists no significant variation between variables or that a single variable is not different than its mean. While an alternative Hypothesis (Ha) is a theory that attempts to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. According to the question we can say that the

Null hypothesis (H0): u = 0.79

Alternative hypothesis (Ha): u > 0.79

Where u may be called as the proportion of their reader that owns a personal computer.

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Based on the lengths of the sides of the triangle, we can infer that this is NOT a right triangle.

A right angled triangle would obey the Pythagoras Rule which is that the square of the hypotenuse (longest side) will be the sum of the squares of the other sides of the triangle.

This means that for this to be a right triangle, it needs to obey the function:

45 ² = 35 ² + 30 ²

Solving gives:

2,025 ≠ 2, 125

This shows that the triangle is not a right triangle.

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It is not a right-angle triangle since 2125 ≠ 2025 meant that it did not conform to Pythagoras' theorem's specifications.

This kind of query creates a right-angled triangle that Pythagoras' theorem can resolve.

In a right-angled triangle, the square of the greatest side is equal to the sum of the squares of the smaller two sides.

Given, There are three sides to a triangle, each measuring 30 kilometers, 35 kilometers, and 45 kilometers.

∴ 30² + 35² = 45².

900 + 1225 = 2025.

2125 ≠ 2025.

Due to the fact that it didn't meet the requirements of Pythagoras' theorem, it is not a right-angle triangle.

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The greatest common factor is  5 .

If you factor it out, the expression becomes        5 (4x + 7y) .

Answer: 55x^1 y^1

Step-by-step explanation:
Add 20+35= 55
x & y can't stand by it's self, so x^1 and y^1
So you take those answers and you got 55x^1 y^1
You must keep it in letters in alphabetic order or it's considered wrong.

Let:

A = Rolling an odd number

B = Rolling a 5

N = Number of possible outcomes

so:

Answer:

Step-by-step explanation:

two angles are a linear pair, and one has twice the measure of the other. Find the smaller angles measure

linear pair = 180°

180 : 3 = 60° (smaller angle)

60° x 2 = 120° (bigger angle)

120 is twice 60 and the sum is 180°

the answer is good

Given that the batters were 7, 14,6,4,5 and 6 then to find the average, you add the batters and divide by their number

Here you notice that the average is 7, so the coach's statement is true.

Your answer is , No;the mean of her strikeouts is 7

Answer: The image and the preimage have the same orientation.

Answer:

The image and the preimage have the different orientation.

Step-by-step explanation:

i

took

the

test

Answer:

  A: 15%

  B: 43%

  C: yes

Step-by-step explanation:

You want the percentages of students who failed the exam, given that they (A) did, or (B) did not complete the exam review. You also want to know if this indicates an association between failing and reviewing.

Let F represent the event "failed the exam." Let R represent the event "completed the exam review." R' will be the event "did not complete the review."

The probability is ...

  P(F|R) = P(F&R) / P(R)

  P(F|R) = 0.10/0.65 = 2/13 ≈ 15%

About 15% failed who completed the review.

  P(F|R') = P(F&R') / P(R')

  P(F|R') = 0.15/0.35 = 3/7 ≈ 43%

About 43% failed who did not complete the review.

If the events "Failed the exam" and "Completed the review" were independent, then the probability of one would not be conditional upon the other. Here, the probability of failing is clearly different for those who completed the review, so there is an association between failing the exam and completing the exam review.

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Answer:

Step-by-step explanation:

[tex]5(2-x)-10=25-2(3x+40)\\\\10-5x-10=25-6x-80\\\\-5x=-6x-55\\\\-5x+6x=-55\\\\x= -55 [/tex]

Answer:

x = -55

Step-by-step explanation:

Hello!

We can solve for x by isolating the variable.

The value of x is -55.

The cost of the fare based on the information is $16.32.

Amount for the fare = $12.75

Tip for the driver = 20% = 20% × $12.75 = $2.55

Tax rate = 8% = 8% × $12.75 = $1.02

Therefore the total amount will be:

= Cost of fare + Tip + Tax

= $12.75 + $2.55 + $1.02

= $16.32

The cost is $16.32. This illustrate the concept of addition.

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Answer:

Step-by-step explanation:

-3x – 10 = 32 Help me I need the answer

-3x – 10 = 32

-3x = 32 + 10

-3x = 42

x = 42 :(-3)

x = - 14

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

check

-3 × (-14) - 10 = 32                      (remember pemdas)

42 - 10 = 32

32 = 32

the answer is good

A forest is decreasing in size by 60 hectares every 3 years. In 7 years, the forest will have decreased by 140 hectares.

Using the Unitary Method:

∵ In '3' years, a forest decreased in size by '60' hectares

∴ In '1' year, a forest will be decreased in size by '20' hectares

Every year 20 hectares is decreased. Considering a regular trend in the decrement of forest area, the time span of '7' years will diminish 'to 140' hectares.

The 'Unitary Method' is also known as the 'Mango Method'. It establishes a relation between given data. The relation is used to predict results in different conditions. The Unitary Method is always used for regular trends.

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Given a sample of the size, measured in square feet, of 17 faculty offices.

1) Mean

To calculate the mean of the sample you have to add all observations of the data set and divide it by the sample size:

The mean square footage is 131.5 ft²

2) Median

To determine the median of the data set, first, you have to calculate the position of the median, following the formula:

The sample size is n=17, then the position of the median is

The median corresponds to the ninth observation of the data set.

Next, you have to order the data set from least to greatest:

102, 104, 107, 110, 113, 119, 120, 123, 124, 127, 136, 142, 154, 155, 155, 159, 185

Count the ninth observation from the left.

The median of the data set is Me= 124 ft²

Answer:

+3, -1

Step-by-step explanation:

17 + 3 = 20

20 - 1 = 19

19 + 3 = 22

22 - 1 = 21

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The slopes formed by each of the pairs of points are given as follows:

The slope is equivalent to the rate of change, hence, given two points, the slope is calculated as the change in y, also called rise, of these two points divided by the change in x, also called run.

For the first case, the points are:

(2, 11.9) and (4, 10.5)

Hence:

The slope is:

m = -1.4/2 = -0.7.

The other slopes are calculated as follows:

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1. 2 ² x 5b³ =   20b³

2. (3a²) ² x 2 (b ²) ³ = 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex] 5d

3. 15d ³ divided by 3d ² = 5d

What is Operations?

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's acuity is determined by the number of operands.

The given problems are:

1. 2 ² x 5b³

2. (3a²) ² x 2 (b ²) ³

3. 15d ³ divided by 3d ²

1. 2 ² x 5b³

  = 4 x 5b³

  = 20b³

2. (3a²) ² x 2 (b ²) ³

  By the exponent rule:
         [tex](x^{n} )^m[/tex] = [tex]x^{n * m}[/tex]

                   = [tex]x^{nm}[/tex]

∴ 3[tex]a^{2*2}[/tex] x 2[tex]b^{2*3}[/tex]

= 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex]

3. 15d ³ divided by 3d ²

    15d ³ ÷ 3d ²

By the exponent rule:

         [tex]a^{m}[/tex]÷[tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]

∴  5[tex]d^{3-2}[/tex] = 5[tex]d^{1}[/tex]

              = 5d

Hence, The solutions are 20b³, 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex] and 5d

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(a) Let "X" be the random variable that represents the time in minutes required to assemble the product.

(b) The random variable may assume the values in the interval (0, ∞).

(c) The random variable "X" is continuous in nature.

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Answer:

1,730

Step-by-step explanation:

173x10 (pieces)= 1730

Solving those simple linear equations, by isolating the variable, and combining like terms.

1.3x-4=23

3x -4=23

3x=27

x=9

2) 9-4x=17

-4x =17-9

-4x=8

4x=-8

x=-2

3) 6(x-7)=36 Distributing the factor

6x -42=36

6x=36+42

6x=78

x=13

4) 2(x-5)-8=34 Distributing the factor

2x -10-8=34

2x -18=34

2x=52

x=26

Answer:

7/5

Step-by-step explanation:

1/2 + 1/5

probability that at least one of the two students fail is 7/5

The equivalent expression of the expression given as [tex]\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}[/tex] is (13 - 5x)/(2x - 8)

From the question, the expression is given as

[tex]\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}[/tex]

Take the LCM of the fractions in the above expression

So, we have

[tex]\frac{\frac{3 - 5x + 10}{x - 2}}{\frac{2x - 4 - 4}{x - 2}}[/tex]

Evaluate the like terms of the expressions

So, we have

[tex]\frac{\frac{13 - 5x}{x - 2}}{\frac{2x - 8}{x - 2}}[/tex]

Divide the common factor x -2 in the expression

So, we have

[tex]\frac{13 - 5x}{2x - 8}[/tex]

Rewrite as

(13 - 5x)/(2x - 8)

The expression cannot be further simplified

Hence, the solution is (13 - 5x)/(2x - 8)

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