Which of the following can a seismograph not show scientists?

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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When a man selects 3 items, the probability that they're all defective will be 1/64.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, bag contains 8items of which two are deffective. The probability of a defective item is:

= 2/8

= 1/4

When a man selects 3 items, the probability that they're all defective will be:

= (1/4)³

= 1 / 64

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Complete question

A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:

The answer will be listed below.

Step-by-step explanation:

The scientific notation of 0.0094592 would be 9.4592x10^-3 power. The scientific notation of 0.94592 would be 9.4592x10^-1. To put a standard notation into scientific notation, simply move the decimal left to right until you have a number in the ones place that isn't zero.

For the linear equation y = -3.5x + 50 the graph is plotted with points (0,50) and (14.28,0).

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The linear equation is y = -3.5x + 50.

An arcade deducts 3.5 points from a 50-point game card for each game played.

The graph will represent the x axis as number of games played.

The graph will represent the y axis as points earned.

Substitute the value x = 0 in the equation -

y = -3.5(0) + 50

y = 50

The coordinate point is (0,50).

Substitute the value y = 0 in the equation -

0 = -3.5x + 50

-50 = -3.5x

x = 14.28

The coordinate point is (14.28,0).

Plot both the coordinate points and join the line.

Therefore, the graph is plotted for the linear equation.

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The table can be completed by assuming a constant rate, such that the

graph of the values form a straight line.

Reasons:

The given table is presented as follows;

\(\begin{tabular}{|l|c|c|c|c|}\underline{Time (min)}&1&2&5&\\Distance (m)&&&25&100\end{array}\right]\)

Whereby the distance and time have a proportional relationship, we have;

Distance = Constant of proportionality × Time

From the table, we have;

At 5 minutes, the distance is 25 meters

Which gives;

25 = Constant of proportionality × 5

\(\displaystyle Constant \ of \ proportionality = \frac{25}{5} = \mathbf{ 5}\)

Therefore;

Each time value is multiplied by 5 to get the distance, while the distance is

divided by 5 to give the time, which gives the completed table as follows;

\(\begin{tabular}{|l|c|c|c|c|}\underline{Time (min)}&1&2&5&100 \div 5 = 20\\Distance (m)&1 \times 5 = 5&2 \times 5 = 10&25&100\end{array}\right]\)

The completed table is therefore

\(\begin{tabular}{|l|c|c|c|c|}\underline{Time (min)}&1&2&5& 20\\Distance (m)&5&10&25&100\end{array}\right]\)

a. The rates are;

\(\begin{array}{|l|c|c|c|c|}\underline{Time \ (min)}&1&2&5& 20\\Distance \ (m)&5&10&25&100\\&&&&\\Rate= \dfrac{distance}{time} &\dfrac{5}{1} = 5 &\dfrac{10}{2} = 5&\dfrac{25}{5} = 5& \dfrac{100}{20} = 5 \end{array}\right]\)

The rate \(\dfrac{distance}{time}\) is constant and equals 5, therefore;

The rate \(\dfrac{time}{distance}\) equals \(\dfrac{1}{5}\) = 0.2

Therefore;

The rates are different (not equivalent), given that the distance is changing at a rate of 5 times the time while the time is changing at a rate of 0.2 times the distance.

b. The graphs will be different given that the rates are different.

The graph of \(\dfrac{time}{distance}\) (time, distance) will have a gentler slope (rise to run) than the graph of (distance, time) \(\dfrac{distance}{time}\)

17. The given table is a ratio table. To graph a ratio table, determine the

range of values, in the table. The range is divided into amounts that will

preferable show points on the table, this is known as the scale of the

graph.

With the acceptable scale that shows points on the graph, the axes of the

graph are marked, and the values on the table are marked on the graph.

The rate or ratio is given by the slope of the graph.

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Answer:

Step-by-step explanation:

Solution:

Using the formula;

Where;

CORRECT ANSWER: $525

The two numbers are 6 and 8.

The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.

x + y = 14 equation 1

x - y = 2 equation 2

Where:

x = larger number

y = smaller number

The simultaneous equations would be solved using the elimination method

Now, subtract  equation 2 from  equation 1

2y = 12

Divide both sides of the equation by 2

y = 12 / 2

y = 6

Substitute for y in  equation 2

x - 6 = 2

Add 6 to both sides of the  equation

x = 2 + 6

x = 8

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Answer: are you in 8th grade cuz i got that question on my math course 3 note book. And I need help for that one too lol

I found out the answer is hydrogen,carbon,oxygen, silver and gold

The mass from the least to the greatest is hydrogen, carbon, oxygen, silver and gold

The mass is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers.

For example:

• The number : 1 x \(10^{-2}\) is equivalent to 0.01

• The number 5 x \(10^{-3}\)is equivalent to 0.001

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ANSWER

5,490

EXPLANATION

The mean is the sum of all the scores, divided by the number of scores. In this case, we have 5 scores,

Hence, the mean is 5,490.

The value of the unit digit 8433165483 x 946621539 x 5514381138 will be6.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

For getting a number, we will first multiply each digit by its position and then;

8433165483 x 946621539 x 5514381138

Which is;

3 x 9 x 8

= 27 x 8 = 216

Therefore, the unit digit number will be 6.

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Are these fractions correct?

factoring 3(x - 4) 2(x - 4)

So, the least common denominator is (2)(3)(x - 4) or

6(x - 4)

The revised Doubtful Debts Provision should be, $4,555.

Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):

Net Debts x Provision Rate equals Adjusted PDD.

The computation would then be:

= $91,100 x 0.05

= $4,555 is the adjusted PDD.

Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,

= $4,555 - $3,500

= $1,055

Hence, The revised Doubtful Debts Provision should be $4,555.

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The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:   x = 7

Thus 7 associates and 10 partners were assigned

Step-by-step explanation:

7 associates and 10 partners were assigned

Let "x" be the number of associates assigned to

case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

y = 10

Substitute y = 10 in eqn 1

x = 17 - 10

x = 7

Thus 7 associates and 10 partners were assigned

Point of intersection is the solution of the system of equations.

Both of them intersect at point (-3,5)

So, (-3,5) is the solution of the system of equations.

OPTION B

Answer:

(-3,5)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.  They intersect at two points

(-3,5) and (1,-3)

The only solution listed as a choice is (-3,5)

Answer:

x is a 33° angle

Step-by-step explanation:

The two angles are supplementary meaning the measure of both angles adds up to 180°. You can tell they are supplementary because the angle is a straight line. so all you need to do is subtact 147 from. 180 to get the measure of x .

Answer:

x+147=180 ( sum of supplementary angle)

or, x = 180-147

or, x = 33

so the value of x is 33°

The 99% confidence interval for population proportion p is 0.117 < P < 0.243 for the true population proportion of people who received flu vaccinations this year when out of 200 people sampled, 36 received flu vaccinations this year.

Given that,

n = 200

x = 36

Point estimate = sample proportion

= x/n = 36/200 = 0.18

1 - p = 1 - 0.18 = 0.82

At a 99% level, the z is,

α = 1 - 0.99 = 0.01

α/2 = 0.005

Zα/2 = 0.005Z = 2.576

The margin of error = E = Zα/2 \(\sqrt{p(1-p)} /n\)

= 2.576\(\sqrt{0.18*0.82} /200\)

E = 0.063

A 99% confidence interval for population proportion p is,

p - E < P < p + E

0.18 - 0.063 < P < 0.18 + 0.063

0.117 < P < 0.243

Therefore, the 99% confidence interval for population proportion p is 0.117 < P < 0.243 for the true population proportion of people who received flu vaccinations this year when out of 200 people sampled, 36 received flu vaccinations this year.

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Answer: In order to solve for x, we will have to use the logarithmic properties to isolate x.

f(x) = 3 - 4 In (x-2)

To solve for x, we will have to get x alone on one side of the equation by using the logarithmic property that logb(a^c) = c*logb(a).

4 In (x-2) = 3

In (x-2) = 3/4

To find x, we will raise e to the power of both sides

x-2 = e^(3/4)

x = e^(3/4) + 2

So the solution of x is e^(3/4) + 2

It's important to notice that the natural logarithm (ln) and log base e (In) are same and the solution is valid for both.

Step-by-step explanation:

Answer:

m∠N ≈ 52.6°

Step-by-step explanation:

When we draw out our triangle, we see that in order to find the measure of our angle, we will have to use trig:

sin(x) = 31/39

x = sin^-1(31/39)

x = 52.6431

Number 1

56.5 kaings each weighing 18.75 kilograms

56.5 × 18.75 = 1059.375 kilograms

Answer : 1059.375 kilograms

Number 2 (A)

$24.25 a kilo and 18.75 kilograms for one kaings

18.75 × $24.25 = $454.6875

Answer : $454.69

Number 2 (B)

$24.25 a kilo and 1059.375 kilograms

1059.375 × $24.25 = 25 689.84

Answer : $25 689.84

Number 3

1.5 kilograms free for each kaing

18.75 - 1.5 = 17.25 kg

17.25 kg × 56.5 kaings × $18 247.21875

Answer : $18 247.22

Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)

For x = -6,  we use the expression f(x) = |x|. Thus, f(-6) = |-6| = 6. For x = 2,  we use the expression f(x) = 3. Thus, f(2) = 3. So correct option is D.

A function is a mathematical rule that relates one input (or set of inputs) to one output (or set of outputs). In other words, a function takes an input value(s), processes it in some way, and produces an output value(s). A function can be represented by an equation, a graph, a table, or a verbal description.

The input of a function is called the independent variable or the argument, while the output is called the dependent variable. The values of the independent variable are typically restricted to a certain domain, which is the set of all possible input values that the function can take. The range of the function is the set of all possible output values.

For x = -6, we have -8 ≤ x < 1, so we use the expression f(x) = |x|. Thus, f(-6) = |-6| = 6.

For x = 2, we have x >= 1, so we use the expression f(x) = 3. Thus, f(2) = 3.

Therefore, the correct option is D.. f(-6)= 6; f(2) = 3.

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The first integer between 4 and 6 is 204.

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

Hence, The first integer between 4 and 6 is 204.

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Answer:

1.83% probability that the time until the first critical-part failure is more than 2 hours.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

\(f(x) = \mu e^{-\mu x}\)

In which \(\mu = \frac{1}{m}\) is the decay parameter.

The probability that x is lower or equal to a is given by:

\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)

Which has the following solution:

\(P(X \leq x) = 1 - e^{-\mu x}\)

The probability of finding a value higher than x is:

\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)

In this question, we have that:

\(m = 0.5, \mu = \frac{1}{0.5} = 2\)

Find the probability that the time until the first critical-part failure is more than 2 hours.

\(P(X > 2) = e^{-2*2} = 0.0183\)

1.83% probability that the time until the first critical-part failure is more than 2 hours.

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).