Is 17.305 greater or less than 17.066

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

Learn more about quotient at https://brainly.com/question/11995925

#SPJ1

Answer:

-7

Step-by-step explanation:

-13-(-6)

-13+6

-7

Answer:

6a- 19b - 7c -32

Step-by-step explanation:

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

Read more on domain here: brainly.com/question/17440903

#SPJ1

Answer:

The area of the triangle is 5.875 square units.

Step-by-step explanation:

First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:

\(a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}\)

\(a \approx 3.317\)

\(b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}\)

\(b \approx 5.745\)

\(c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}\)

\(c \approx 3.742\)

Now, we can use the following formula to fid the area of the triangle (\(A\)), measured in square units:

\(A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where:

\(s\) - Semiperimeter of the triangle, dimensionless.

\(a\), \(b\), \(c\) - Sides of the triangle, dimensionless.

The semiperimeter can be determined by this:

\(s = \frac{a+b+c}{2}\)

If we know that \(a \approx 3.317\), \(b \approx 5.745\) and \(c \approx 3.742\), the area of the triangle is:

\(s = \frac{3.317+5.745+3.742}{2}\)

\(s = 6.402\)

\(A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}\)

\(A \approx 5.875\)

The area of the triangle is 5.875 square units.

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

To know more about equation check the below link:

https://brainly.com/question/17145398

#SPJ1

Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

To know more about central angle, visit:

https://brainly.com/question/15698342

#SPJ1

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

Some units are inches and some are feet. In that case, you would need to convert in order for the equation to be solved.

Step-by-step explanation:

I got 100% on edgen

Cautious of when calculating the area of geometric figures is different unit.

A measurement unit is a standard quantity used to express a physical quantity.

The main caution while calculating the geometric figures is units.

Sometimes units are inches and some are feet.

In this case, we need to convert in order to get the correct calculation because different measurements can cause error in finding the solution.

Learn more about units here:

https://brainly.com/question/12629581

#SPJ2

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be option e) stress is correct.

The data from this nanosection should be compound by two in order to complete the task using the unitary method. In essence, the marked by either a set or the pigment parts of the unit method are skipped when a desired object is present. For forty pens, a variable charge of Inr ($1.01) would be required. It's possible that one country will have total influence over the approach taken to accomplish this. Almost every living creature has a distinctive quality.

Here,

According to Hans Selye,

He refers to the nonspecific response of the body to any demands made upon it

is stress.

So , option e) stress is correct.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

a. The scale factor from Drawing 1 to Drawing 2 is 40%

b. The length of the bottom side of Drawing 2 is 7.8 cm

Step-by-step explanation:

5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%

19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

The numbers that represents c and d and aligns with the information will be 24 - 10 = 14.

It should be noted that from the proportion, a = 60 and b = 25.

It was also stated that c - d = 14.

It should be noted that 60 and 25 have a common factor of 5. Therefore, the number that's equivalent to them will be:

(60 ÷ 2.5) = 24

25 ÷ 2.5 = 10

Therefore 24 - 10 = 14

The values are 24 and 10.

Learn more about number on:

brainly.com/question/24644930

#SPJ1

Step-by-step explanation:

Plug

\( {x}^{2} + 1\)

for x.

\(( {x}^{2} + 1) {}^{2} + 1\)

Note that

\((a + b) {}^{2} = 2ab\)

So we have

\( {x}^{4} + 2 {x}^{2} + 2\)

Answer:

Student B

Step 1: the quantity 1 over sine theta end quantity minus sine theta over the quantity cosecant theta

Step 2: the quantity 1 minus sine squared theta end quantity over sine theta all over cosecant theta

Step 3: cosine squared theta over sine squared theta

Step 4: cot2 θ

Step-by-step explanation:

Answer:

x=-16

Step-by-step explanation:

x/4-3=-7

x/4=-4

x=-16

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.

given

The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.

Calculating the sample proportion is necessary:

The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:

P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031

Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:

\(z = (0.476 - 0.34) / 0.031 = 4.39\)

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

Let's find the discriminant to see if there are any solutions at all. When ax² + bx + c = 0 the discriminant (D) is b² - 4ac. In our case, a = -2, b = -16 and c = -44 so D = (-16)² - 4(-2)(-44) = -96 which is less than 0. Since D < 0 the answer is no real solutions or x ∉ R.

Answer:

x = -4 + i√6 and

x = -4 - i√6

Step-by-step explanation:

Divide all four terms by 2 to reduce the equation:  -x^2 - 8x - 22 = 0.

Change all four signs:  x^2 + 8x + 22

Complete the square of x^2 + 8x:

x^2 + 8x  =>  x^2 + 8x + 16 - 16

Then our x^2 + 8x + 22 from above becomes  x^2 + 8x + 16 + 22 - 16, or

(x + 4)^2 + 6 = 0, or (x + 4)^2 = -6

Taking the square root of both sides, we obtain:

x + 4 = ±√-6, or x + 4 = ±i√6

Solving for x, we get x = -4 ±i√6, and so the roots are:

x = -4 + i√6 and

x = -4 - i√6

Answer:

One

Step-by-step explanation:

       First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.

       To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.

            However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

Read more about angles here:

https://brainly.com/question/25716982

#SPJ1

The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Step-by-step explanation:

180-86= 94 is the answer

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'

Answer:

$190

Step-by-step explanation:

22.99 times 3 = 66.97

32.99 times 2 = 65.98

one pair of shoes is 54.99.

66.97 + 65.98 + 54.99 = 187.94

187.94 is closer to 190

The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

To know more about mean visit:

https://brainly.com/question/23631778

#SPJ1

Group B has lower range.

Group A shows variability.

Mean is the best to make concussion about age of Salsa students.

Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.

This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.

In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.

So, Group B has lower range.

and, Group A shows variability.

Lastly, Mean is the best to make concussion about age of Salsa students.

Learn more about dot plot here:

brainly.com/question/32312452

#SPJ1

Answer:

3.26%

Step-by-step explanation:

The computation of the probability that she is a student is shown below:

Percentage of student developers = 25.8% = SD

The Percentage of the developer is student = 7.4% = DS

The percentage of the developer is not student = 76.4% = ND

Based on this, the probability is

\(= \frac{SD \times DS}{SD \times DS + DS \times ND}\)

\(= \frac{25.8\% \times 7.4\%}{25.8\% \times 7.4\% + 7.4\% \times 76.4\%}\)

=3.26%

we simply considered all the elements

Answer:

x=2.9

Step-by-step explanation:

2x=7.3-1.5

2x=5.8

divide both sides be 2

2x/2 (2 is cancelled) and 5.8/2 is 2.9

x=2.9