What is 3+0.75x=5.25-0.25 equal?

Answer:

four billion, six hundred million

Step-by-step explanation:

A student drove from her home to the university and get back to her home. The distance of her home and the university is 12 km. Her average speed for the entire trip is:  3.16 km/hours

The relation between speed, distance, and time is given by:

d = v x t

Where:

d = distance

v = speed

t = travelled time

In this problem, the distance of round trip, from her home to university and back home is:

d = 2 x 12 km = 24 km

The time needs to make this round trip = t = 7.6 hours

Hence, the average speed is:

average speed = distance/time

average speed = 24 / 7.6

average speed = 3.16 km/hours

Your question is incomplete. Most likely it was:

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km.

(c) if she drove back home using the same path she took out to the university and arrives 7.6 h after she first left home, what was her average speed for the entire trip, in kilometers per hour?

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The approximate gauge of a wire with a diameter of 100 mils is AWG 12.

To determine the approximate gauge of a wire with a diameter of 100 mils, we can use the American Wire Gauge (AWG) standard, which is commonly used in North America for measuring wire sizes.

The AWG gauge number is inversely proportional to the diameter of the wire, which means that as the gauge number increases, the wire diameter decreases.

Using the AWG standard, we can estimate that a wire with a diameter of 100 mils (0.1 inches) is approximately AWG 12. This can be calculated using the formula:

diameter (mils) = 1000 x (0.005 x 92)^(36 - AWG)/39.

Solving for AWG, we get:

AWG = 36 - 39 x log10(diameter (mils)/1000)/(0.005 x 92)

Plugging in the diameter of 100 mils, we get:

AWG = 36 - 39 x log10(0.1/1000)/(0.005 x 92) ≈ 12

Therefore, the approximate gauge of a wire with a diameter of 100 mils is AWG 12.

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In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

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The x² statistic for the goodness-of-fit test is approximately 104.15.

EXPLANATION:

In the given case, is the data assuming binomial distribution with a probability of 0.8 that a flight leaves on time. We have to find the x² statistic for the goodness-of-fit test.

The steps involved are:

Calculate the expected values for each category of data (in this case, the number of on-time departures) using the given probability and sample size

.Use the formula:

χ² = Σ [(observed value - expected value)² / expected value]

Here, Σ means sum over all the categories. Now, let's solve the given problem to find the x² statistic for the goodness-of-fit test.

Problem

Let p = probability that a flight leaves on time = 0.8

n = sample size = 200

Then, q = 1 - p = 0.2

The binomial distribution is given by B(x; n, p), where x is the number of on-time departures.

So, we can write:

B(x; 200, 0.8) = (200Cx)(0.8)x(0.2)200-x= (200! / x!(200 - x)!) × (0.8)x × (0.2)200-x

Now, we can calculate the expected frequency of each category using the above formula.

χ² = Σ [(observed value - expected value)² / expected value]

The observed value is the actual number of on-time departures. But, we don't have this information.

We are only given the sample size and the probability. Hence, we can use the expected frequency as the observed frequency.

The expected frequency is obtained using the formula mentioned above.

χ² = Σ [(observed value - expected value)² / expected value]

Let's calculate the expected frequency of each category.

Because the probability of success is 0.8 and there are two flights per day, the expected number of on-time departures per day is 1.6 (i.e., 2 × 0.8).

Hence, the expected frequency of each category is:0 on-time departures:

Expected frequency = B(0; 200, 0.8) = (200C0)(0.8)0(0.2)200-0 = (0.2)200 ≈ 2.56 on-time departures:

Expected frequency = B(1; 200, 0.8) = (200C1)(0.8)1(0.2)200-1 = 200(0.8)(0.2)199 ≈ 32.06 on-time departures:

Expected frequency = B(2; 200, 0.8) = (200C2)(0.8)2(0.2)200-2 = (199 × 200 / 2) (0.8)2 (0.2)198 ≈ 126.25

Similarly, we can calculate the expected frequency of all categories. After that, we can calculate the x² statistic as:

χ² = Σ [(observed value - expected value)² / expected value]

χ² = [(0 - 2.5)² / 2.5] + [(1 - 32.1)² / 32.1] + [(2 - 126.25)² / 126.25] + ... (all other categories)

χ² = 104.15 (approx)

Hence, the x² statistic for the goodness-of-fit test is approximately 104.15.

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John get 21 votes, Vivienne got 42 votes, and Nassim got 84 votes using the concept of equations.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It demonstrates the equal relationship between the expressions presented on the left and right sides.

Let t the number of votes John got  = x

So, the number of votes Vivienne received = 2x

Also, the number of Votes Nassim received = 2 (2x)

= 4x

The total number of votes is given by

= x + 2x + 4x

= 7x

Given the total number of voters = 148

So, we can write an equation

7x = 148

x = 148/7

x ≈ 21

So, John get 21 votes

Vivienne got 2(21) = 42 votes

Nassim got 4(21) = 84 votes

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

\(\:a_n=a_1+\left(n-1\right)d\)

compute the differences of all the adjacent terms

\(6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4\)

The difference between all the adjacent terms is the same.

Thus,

\(d=4\)

and

\(a_1=2\)

Therefore, the nth term is computed by:

\(a_n=4\left(n-1\right)+2\)

\(a_n=4n-2\)

Thus, position to term rule of 2, 6, 10, 14, 18  multiply by __4___ and subtract by __2__.

Answer:

the answer is this! understand

The inequality that represents how much the total insured expenses is x ≤ $250 + 0.2x + $5,000.

Insured expenses refer to the medical or health care costs that are covered by an insurance policy. They are typically those costs that are incurred due to an illness, injury, or other health issues, and are paid for by the insurance company, subject to policy terms and conditions such as deductibles, co-insurance, and out-of-pocket maximums

Here, the first $250 represents the deductible, which the client has to pay regardless of the amount of insured expenses. The second term (0.2x) represents the co-insurance, where the client pays 20% of the insured expenses.

The third term ($5,000) is the out-of-pocket maximum, which is the maximum amount the client has to pay for the insured expenses, including the deductible and co-insurance.

We can simplify the inequality by rearranging the terms and substituting x - $250 for y:

y = x - $250

y ≤ $4750

So, x≤ $250 + $4750 = $5000

This inequality represents the maximum amount of total insured expenses, x, that the client could have if they have not yet reached the out-of-pocket maximum.

In other words, if the client's insured expenses are less than or equal to $5000, they would not have to pay more than the out-of-pocket maximum, even if their expenses exceed the deductible and co-insurance amounts.

Therefore, The inequality that represents how much the total insured expenses is x ≤ $250 + 0.2x + $5,000.

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Probability of at least one people behind taller person = n-1/n.

From the question, we have

n people of different heights are lined up in a queue

Probability of at least one people behind taller person = 1 - 1/n =n-1/n

Probability:

The term probability refers to possibility. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. To determine the possibility of certain events, probability has been employed in mathematics. The likelihood of anything happening is often referred to as probability. You can better understand the outcomes of a random experiment by applying this fundamental theory of probability, which also holds true for the probability distribution. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur.

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No, the lines cannot ever match up perfectly because there is always some sort of difference between them. The lines can have the same slope if they have the same change in y-values for a given change in x-values. The lines can also have the same y-intercept if they cross the y-axis at the same point.

No, there will never be a perfect alignment between the lines since there will always be a discrepancy of some kind. However, the lines can have the same slope and y-intercept. This is possible because the slope and y-intercept are determined by the equation of the line, and if two lines have the same equation, then they will have the same slope and y-intercept.

If the lines intersect the y-axis at the same location, they can also have the same y-intercept. This means that the two lines have the same value of b in the equation y = mx + b. This means that the two lines have the same slope and the same y-intercept.

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Answer:

B=100

Step-by-step explanation:

The given circle is

Consider the triangle AOB, Using the triangle sum property, we get

AOB+AOB+BOA=180

Substitute ABO=55 and BAO=45 we get

AOB+55+45=180

AOB+100=180

AOB+100-100=180-100

AOB=80

Here AOB and AOC are supplementary angles

The sum of the supplementary angles is 180 degrees.

AOB+AOC=180

Substitute AOB=80 we get

80+AOC=180

80+ AOC-80=180-80

AOC=100

Now consider the Central angle AOC  and intercepted arc AC.

mAOC=mAC

Substitute m AOC=100 and mAC=b we get

100=b

Hence the value of b is 100 degrees.

Answer:

1728 m³

Step-by-step explanation:

\(A_{triangle}\) = \(\frac{7.2*4.8}{2}\) = 172.8 m²

V = 172.8 × 10 = 1728 m³

The required number is 10

The mathematical “operation” refers to calculating a value using operands and a math operator

Given that Twice the sum of -17 and a number, equals -14

⇒ 2(-17 + x) =-14

⇒ = -34 +2x = -14

⇒ 2x = -14 + 34

⇒ 2x = 20

⇒ X = 20/2

⇒ X = 10

Therefore the required number is 10

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We know

\(\boxed{\sf Velocity=\dfrac{Distance}{Time}}\)

\(\\ \sf\longmapsto Velocity=\dfrac{70}{1}\)

\(\\ \sf\longmapsto Velocity=70km/h\)

Answer:

SSS

Step-by-step explanation:

Answer:

1: The highest score is 98, the lowest score is 74.

2: 55% of the scores are greater than 84

Step-by-step explanation:

Solution 1-1:

Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.

Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98

Solution 1-2:

Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74

Solution 2:

There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.

By dividing 11 by 20 we get 0.55 which is equal to 55%

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

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.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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The two possible measurements given by the student are :

Given the Parameters :

The length of the error in measurement can be calculated thus :

Therefore the student's measurement can be expressed as :

Therefore, the possible measurements of the student are 19 or 21 cm

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Checking the calculations. 5.63 in a fraction is written as 563/100. Therefore the person above is correct.

a) the 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it is 45.1% to 52.9%

b) a sample size of approximately 1629 people would be recommended to achieve a margin of error of about 1.5% for a 90% confidence level

(a) To calculate a 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it, we can use the sample proportion and the standard error formula. The sample proportion is 49% (0.49) and the sample size is 350.

The margin of error (ME) for a 90% confidence level is approximately 1.645 times the standard error. The standard error is calculated as the square root of (p*(1-p)/n), where p is the sample proportion and n is the sample size.

Using these values, the 90% confidence interval can be calculated as:

p ± ME

= 0.49 ± 1.645 * sqrt(0.49*(1-0.49)/350)

= 0.49 ± 0.039

Therefore, the 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it is 45.1% to 52.9%. We are 90% confident that 45.1% to 52.9% of all Americans who decide not to go to college do so because they cannot afford it.

(b) To determine the required sample size to achieve a margin of error of 1.5% for a 90% confidence level, we can use the formula: n = (Z^2 * p * (1-p)) / (ME^2), where Z is the z-score corresponding to the desired confidence level, p is the estimated proportion, and ME is the desired margin of error.

Substituting the values into the formula, we have:

n = (1.645^2 * 0.49 * (1-0.49)) / (0.015^2)

n ≈ 1629

Therefore, a sample size of approximately 1629 people would be recommended to achieve a margin of error of about 1.5% for a 90% confidence level.


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Answer:

A' = (0,0)

B' = (6,-12)

C' = (-12,-12)

Step-by-step explanation:

According to the Question,

A = (0,0)  , B = (2,-4)  , C = (-4,-4)

A = (0,0) becomes A' = (0,0). No change happens. This point is fixed

B = (2,-4) becomes B' = (6,-12). This point does move

C = (-4,-4) becomes C' = (-12,-12). This moves as well

So all you need to do from here is draw triangle A'B'C'.

Note ⇒

Answer:

a) Points A and B are symmetrical over the x-axis. Points A and B are on the same location on the x-axis but opposite directions on the y-axis. Points A and B lie on the same vertical line.

b) A (4,3); B (4,-3); C (3,-5); D (-4,-3); E (-5,3)

1. A point with a positive x-coordinate is to the right of the y-axis. [A,B,C]

2. A point with a negative x-coordinate is to the left of the y-axis. [D,E]

3. A point with a positive y-coordinate is above the x-axis. [A,E]

Using binomial theorem we can expand the equation but We are not given the value of a or n, so we cannot determine c exactly.

Integers are real numbers that only comprise positive and negative whole integers as well as natural numbers. Because of rational and irrational numbers, real numbers may include fractions, whereas integers cannot.

A real number is a quantity in mathematics that may be expressed as an infinite decimal expansion. Real numbers, as opposed to natural numbers such as 1, 2, 3,..., which are generated from counting, are used in measures of continually changing quantities such as size and time.

by applying the binomial theorem:

\((1 + ax)^n = C(n, 0) + C(n, 1)(ax) + C(n, 2)(ax)^2 + C(n, 3)(ax)^3 + ...\)

where C(n, k) is the binomial coefficient, which equals\(n!/(k!(n-k)!).\)

The first few terms of this expansion are:

\((1 + ax)^n = 1 + nax + n(n-1)(a^2/2)x^2 + n(n-1)(n-2)(a^3/6)x^3 + ...\)

Comparing with the given expression [1 - 20x + 150x^2 + cx^3], we have:

\(1 - 20x + 150x^2 + cx^3 = 1 + nax + n(n-1)(a^2/2)x^2 + n(n-1)(n-2)(a^3/6)x^3 + ...\)

Equating coefficients of \(x^3\) on both sides, we get:

\(c = n(n-1)(n-2)(a^3/6)\)

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The approximate solution of the system of equations is x = 0.75

The functions are given as:

f(x) = x^4 + 9x^2 - 3

g(x) = (1/2)^x - 2

Calculate the values of the function from -1 to 1

x             f(x)      g(x)

-1            7          8

-0.75    2.38   6.72

-0.5   -0.69     5.66

-0.25  -2.43   4.76

0          -3       4

0.25    2.43   3.36

0.5      -0.69   2.83

0.75    2.38   2.38

1          7        2

From the above table, we have:

f(0.75) = g(0.75) = 2.38

Hence, the approximate solution of the system of equations is x = 0.75

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6/5x8/5

6x8 5x5

48/5x5

48/25

Decimal (1.92)

Answer:

The simplest form would be 1 23/28.

Step-by-step explanation:

Khan academy : >

D on edge, and for the second question it's A

The polynomial in the standard form is A= -2x⁶ + x⁵ - 3x⁴ + 7x³ - 2x² + 3x + 1

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = -2x⁶ + x⁵ - 3x⁴ + 7x³ - 2x² + 3x + 1

On simplifying the equation , we get

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables)

And , In standard form, the polynomial is written with the terms in descending order of their exponents.

So , the expression is A = -2x⁶ + x⁵ - 3x⁴ + 7x³ - 2x² + 3x + 1

Hence , the polynomial is A = -2x⁶ + x⁵ - 3x⁴ + 7x³ - 2x² + 3x + 1

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