Nevine and her parents were hiking in the Andes. They came to a bridge that had a weight limit of 500 kg. Nevine's father weighs 82 kg, her mother weighs 61 kg, and Nevine weighs 39 kg. If Nevine's family crossed the bridge at the same time, how much additional weight could the bridge hold?

Step-by-step explanation: The x-intercept is

the point where a line crosses the x-axis.

So the x-intercept for the line on the graph is (7, 0).

All x-intercepts have a y-coordinate of zero.

The y-intercept is a point where a line crosses the y-axis.

So the y-intercept for the line on the graph is (0, 5).

All y-intercepts have a x-coordinate of zero.

Answer:

Step-by-step explanation:

13)

x=93

y=84

yeah 14 confused me

Answer:

As worked out below

Step-by-step explanation:

13)  for x  use  the given equations and set it equal to 96 .. b/c that angle is complementary... well it's the same.. but in fancy math jargon.. sooo

6x+54=96

6x=42

x=7  nice

for y use that 180 is what the two angles add up to

y+96=180  

y=84  so I think butterfly got that one right

14)  for x use that the two angles together must be 180 b/c the M and N lines are parallel  :)

9x+48 + 4x+54 =180

13x+102=180

13x=78

x=6  yay!

for y use that the lines are at right angles so it must be equal to 90

2y+34=90

2y=56

y=28   yay  :)  

The correct answer is: a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.

In attribute sampling, the auditor evaluates a sample to assess the control risk associated with a particular attribute or characteristic. In this case, the attribute being tested is the exception rate among the documents.

Given the information provided:

Sample size (n) = 50 documents

Number of exceptions found in the sample = 1

Tolerable rate = 6%

Expected population exception rate = 1%

Allowance for sampling risk = 3%

To evaluate the sample results, we need to consider the sample exception rate plus the allowance for sampling risk and compare it with the tolerable rate.

Sample exception rate = (Number of exceptions found / Sample size) * 100

= (1 / 50) * 100

= 2%

Sample exception rate + Allowance for sampling risk = 2% + 3% = 5%

Since the sample exception rate plus the allowance for sampling risk (5%) exceeds the tolerable rate (6%), the auditor needs to modify the planned assessed level of control risk. This means that the auditor should conclude that the control is not operating effectively at the desired level and may need to adjust their assessment of control risk accordingly.

Therefore, the correct answer is a) Modify the planned assessed level of control risk because the sample exception rate plus the allowance for sampling risk exceeds the tolerable rate.

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Answer: The father is 36 right now and the son is 4

Step-by-step explanation: 9x4 is 36 and 36/9=4.

Answer:

363.0449

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the height.

To find a squared, add  13 squared plus 5 squared then find square root.

13.93 is about it.

Then do 13 squared plus 13.93 squared and find the square root.

363.0449

Answer:

18m

Step-by-step explanation:

1cm=2m

9cm=9×2m

9cm=18m

TheThe figure that represents the total area of the figure is: B. 24.413 in².

Total area = 1/2 × 3.3×3.15 + 4.6×3.15  + 1/2×3× (6.3 - 3.15)

Total area =  5.1975 + 14.49  + 4.725

Total area = 24.4125in²

Total area = 24.413 in² (Approximately)

Therefore the correct option is B.

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The amount that Mr Rogers would receive per annum is K 30,000.

The amount of money that Mr Rogers would receive per annum is a function of the worth of the bond bought and the interest rate.

Interest=   bond value x interest rate

0.15 x 200,000 = $30,000

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Answer:

y =2.5

Step-by-step explanation:

1.4y = 3.5

Divide each side by 1.4 to isolate y

1.4y /1.4 = 3.5/1.4

y =2.5

Answer:

2.5

Step-by-step explanation:

1.4 y=3.5

y=3.5/1.4

y=2.5

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Answer:y(y +5)=750 y(y-5)=750 & 750-y(y-5)=0

Step-by-step explanation:

If y=width and (y+5)=length then A: y( y+5)=750

If y=length and (y-5)=width Then B: y(y-5)=750

and 3rd set everything = to

C: 750-y(y-5)=0

Answer:

slope is 1/2

Step-by-step explanation:

The measure of angle Y is given as follows

m < XYZ = 72.9º.

The three trigonometric ratios are defined as follows:

For angle Y, we have that:

Applying the tangent function, the measure is obtained as follows:

tan(Y) = 13/4

Y = arctan(13/4)

Y = 72.9º.

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In the Logarithm prompt above, note that the value of In x when In x = e to the power -x is x = 1/e.

The above assertion is right because the definition of the natural logarithm denoted as In x or ln x, is that it is the inverse function of the exponential function, denoted as e to the power x or ex.

This means that if we have an equation of the form In x = ex, then we can find the value of x by simply taking the inverse of both sides of the equation.

So, if we take the inverse of both sides of the equation In x = ex, we get x = In (ex) = In e to the power x = 1/e.

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Answer:

256 cm³

Explanation:

\(\sf Volume\:of\:sphere=\dfrac{4}{3} \pi (radius)^3\)

Here given:

Solve for volume:

\(\sf Volume\:of\:sphere=\dfrac{4}{3} \pi (4)^3\)

take π as 3

\(\sf Volume\:of\:sphere=\dfrac{4}{3} (3) (4)^3\)

simplify exponent

\(\sf Volume\:of\:sphere=\dfrac{4}{3} (3) (64)\)

evaluate following

\(\sf Volume\:of\:sphere=4(64) = 256 \ cm^3\)

Answer:

V = 256 cm³

Step by step explanation:

Given that, diameter of the sphere is: 8cm

First, let us find the radius of the sphere:

d = 2 r

8 = 2 r

8/2 = 2r / 2

4cm = r

The formula to find the volume of the sphere:

\(V=\frac{3}{4} \pi r^{3} \\\)

Here,

r ⇒ radius

Let us find it now.

\(V=\frac{3}{4} \pi r^{3} \\\\V=\frac{3}{4} *\pi *4^{3} \\\\V=\frac{768}{4} \\\\V=256cm^{3}\)

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. To prove this statement, we need to show that if the diagonals of a quadrilateral bisect each other, then the opposite sides of the quadrilateral are parallel.

Here are the steps to prove this:
1. Let's assume that the diagonals of the quadrilateral bisect each other at point O.
2. From point O, draw segments connecting the opposite vertices of the quadrilateral.
3. By definition, the diagonals of a quadrilateral bisect each other if they divide each other into two equal parts. This means that segment OA is congruent to segment OC, and segment OB is congruent to segment OD.
4. Now, we need to show that the opposite sides of the quadrilateral are parallel. We can do this by showing that the corresponding angles formed by the segments are congruent.
5. Since segment OA is congruent to segment OC, and segment OB is congruent to segment OD, we can conclude that angle A is congruent to angle C, and angle B is congruent to angle D.
6. By the definition of a parallelogram, opposite angles of a parallelogram are congruent. Therefore, angle A is congruent to angle C, and angle B is congruent to angle D, which implies that the opposite sides of the quadrilateral are parallel.

Therefore, if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

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If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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Answer:

6/25

Step-by-step explanation:

2 x 3 = 6

5 x 5 = 25  

= 6/25

Answer:

Step-by-step explanation:

90 - 65.34= 24.66

24.66 divided by 8.22 is 3 so the answer is 3 pounds

Based on the probability distribution of a random variable "q" which goes as,

Value of "q"                  Probability

       0                                 0.22

       1                                  0.21

       2                                0.257

The standard deviation of "q" will be

As per the question statement, we are provided with a probability distribution of a random variable "q" which goes as,

Value of "q"                  Probability (P)

       0                                  0.22

       1                                   0.21

       2                                 0.57

We are required to determine the standard deviation of "q"

From the question mentioned table,

Expected value (qₙ) of random variable = [(q₁ * P₁) + (q₂ + P₂) + (q₃ + P₃)]

= [(0 * 0.22) + (1 * 0.21) + (2 * 0.57)] = 1.35

Therefore, Variance (V) of the random variable = ∑[P * (q - qₙ)²]

= [{0.22 * (0 - 1.35)²} + {0.21 * (1 - 1.35)²} + {0.57 * (2 - 1.35)²}]

= [{0.22 * (-1.35)²} + {0.21 * (-0.35)²} + {0.57 * (0.65)²}]

= [(0.22 * 1.8225) + (0.21 * 0.1225) + (0.57 * 0.4225)]

= (0.419175 + 0.025725 + 0.240825)

= 0.686265

Finally, Standard Variance of the variable "q" = √V

                                                                           = √(0.686265)

                                                                           = 0.8284

                                                                           ≈ 0.83

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Answer and Step-by-step explanation:

3 x 2 - x = ? Well, if you simplify it's just 5x. But, if you are trying to solve this then you have to know what x is or what your answer is. But, if you're trying to solve 3 x 2 = x then x would equal 6. Of course, if you know the answer or what x equals then plug it in as such, let's say x = 2 then you would plug 2 in for x and solve, 3 x 2 = 6 - 2 = 4. But, if you are trying to solve for x then look at the answer, let's say it is 24 so, 3 x 2 - x = 24, x would equal -18.

Hope this helped you out! Have a wonderful day!

**Note, I didn't understand what you were asking, that's why I went into so much detail to help you out. Please, be clearer with your questions. Make sure you got all the whole question in there! Thank you!**

According to the given statement The preceding population was =  62,500.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is a one-hundred part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.

Percent originated from the Latin adverbial phrase per centum, which means "by the hundred." The Latin phrase made its way into English in the 16th century. Later, it was abbreviated to % with a period. The period was eventually eliminated, and the two components amalgamated to form the contemporary one-word form %.

The current population of a city = 80000

A city's population has grown by 28% since the last census.

measured.

We have to calculate the previous population before increasing 28%.

Let the previous population be p

p +(28% × p) = 80000

p + 0.28p = 80000

1.28p = 80000

p = 80000/1.28

p = 62,500

The preceding population was =  62,500.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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To develop a spreadsheet model that simulates the points scored by each team and the difference in their point totals, you can follow these steps:

1. Create a spreadsheet with columns for the team names, points scored by each team, and the difference in their point totals.
2. Assign a cell to represent the average points scored by the Iowa Wolves. Let's say it's cell A1.
3. Assign a cell to represent the standard deviation of points scored by the Iowa Wolves. Let's say it's cell A2.
4. Use the "=NORM.INV(RAND(), A1, A2)" formula in a cell to generate a random value representing the points scored by the Iowa Wolves in a particular game.
5. Repeat step 4 for each game or simulation you want to run, populating the points scored by the Iowa Wolves in the respective cells.
6. Calculate the average of the generated points scored by the Iowa Wolves by using the "=AVERAGE()" formula on the range of cells containing the simulated points.
7. Calculate the standard deviation of the generated points scored by the Iowa Wolves by using the "=STDEV()" formula on the same range of cells.

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Answer:

12y² + 9y + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4y² + 5y + 2 + 8y² + 4y + 5

Step 2: Simplify

Answer:

12y² + 9y + 7

Step-by-step explanation:

4y² + 5y + 2 + 8y² + 4y + 5

Simplify :-

4y² + 5y + 2 + 8y² + 4y + 5

4y² + 8y² + 5y + 4y + 2 + 5

12y² + 9y + 7

Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

Using the squeeze principle, we can conclude that lim θ→0 (sinθ) = 0 and lim θ→0 (cosθ) = 0. For a function f(x), if lim x→a ∣f(x)∣ = 0, then it follows that lim x→a f(x) = 0, provided that the function is continuous at x = a.To evaluate the limits using the squeeze principle:

(1) For lim θ→0 (sinθ):

We know that -1 ≤ sinθ ≤ 1 for all values of θ. Therefore, by the squeeze principle, since the limits of the upper bound and lower bound are both zero as θ approaches 0, we can conclude that lim θ→0 (sinθ) = 0.

(2) For lim θ→0 (cosθ):

Similar to the previous example, we know that -1 ≤ cosθ ≤ 1 for all values of θ. Again, by the squeeze principle, as θ approaches 0, both the upper bound and lower bound approach zero. Thus, lim θ→0 (cosθ) = 0.

To show that a function f(x), lim x→a ∣f(x)∣ = 0 ⇒ lim x→a f(x) = 0:

Suppose lim x→a ∣f(x)∣ = 0. By the definition of absolute value, ∣f(x)∣ ≥ 0 for all x. Therefore, if the limit of ∣f(x)∣ is 0, it implies that the function f(x) is bounded above and below by 0 as x approaches a. Thus, lim x→a f(x) = 0.

Note: Please ensure that the function f(x) is continuous at x = a for the statement to hold true.

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The height of the flagpole is 27 feet.

Given,

If two triangles are similar, sides of these triangles will be proportional.

Height of the flagpole  = h feet

Shadow castes by the flagpole  = 72 feet

Height of the person  = 6 feet

Shadow casted by the person = 16 feet

By using the property of similar triangles,

Hence, h/6 = 72/16

h = (6×72)/ 16

h = 27 feet

Therefore, The height of the flagpole is 27 feet.

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The conclusion regarding the publisher's claim is that it is incorrect if the potential advertiser rejects the null hypothesis. A newsletter publisher believes that less than 65% 65 % of their readers own a personal computer. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 0.02 level of significance, the advertiser decides to reject the null hypothesis.

What is a null hypothesis?

The null hypothesis is a fundamental idea in inferential statistics that represents the null assumption. It's frequently utilized to compare datasets and decide whether any differences between them are real or just by chance.

It is also called H0. It is the default theory that no difference exists between two tested populations or data sets.

A hypothesis test is a way of deciding whether the data supports or disproves the null hypothesis. If the null hypothesis is incorrect, it is referred to as a Type I error. If it is true and the data leads to its rejection, it is known as a Type II error.

Thus, after performing the test at the 0.02 level of significance, if the potential advertiser decides to reject the null hypothesis, the publisher's claim is incorrect.

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