200,40,8 arithmetric or geometric or neither

Answer:

The answer is 9

Step-by-step explanation:

for the equation:

move the -6x

x^2 + c - 6x

To find c :

c = (b/2)^2

this means you have to divide the coefficient of x by 2 then square the result

If you dont understand I put a picture of all the steps

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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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

If person saves 12.5% of his income how much does he spend in a month if his monthly income is Rs 10,000 then he spends 8750 of his monthly income.

percentage, a relative value indicating hundredth parts of any quantity.

Given that a person saves 12.5% of his income.

The monthly income of the person is 10000.

We need to find how much he spend in a month.

Convert 12.5 % to the decimal value by dividing 12.5 by 100.

12.5/100=0.125

Now multiply 0.125 with 10000

0.125×10000

1250

Subtract 1250 from 10000

10000-1250

8750

Hence, person spends 8750  of his monthly income.

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An equivalent expression using the associative property 2+(11+y) can be written as (2+11)+y.

The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).

A+(B+C) = (A+B)+C

As the expression that is given to us is 2+(11+y), therefore, an expression that is equivalent to 2+(11+y) using the associative property can be written as,

\(2+(11+y) = (2+11)+y\)

Hence, an equivalent expression using the associative property 2+(11+y) can be written as (2+11)+y.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

The answer is \((x^3-8)(x^3+2)\)

Step-by-step explanation:

Find two factors that equal -6 when added, and -16 when multiplied. Those are your outer numbers. The exponent of the first term is a 6, so you know when you multiply two numbers with exponents, you add them. 6/2=3.

I'm really sorry for the bad explanation, I was in a hurry. Sorry.  But I know the answer is correct.

Answer: The measure of ∠RTS is 102°. The answer is (d).

Step-by-step explanation:

We know that the sum of the angles in a quadrilateral is 360°. Therefore, we have:

∠R + ∠T + ∠Q + ∠S = 360°

Since RP and QS are diameters, we have ∠R = ∠P = 90° and ∠Q = ∠S = 90°. Substituting these values, we get:

90° + ∠T + 90° + ∠S = 360°

Simplifying the equation, we get:

∠T + ∠S = 180°

Now we use the fact that the measure of ∠RTQ is 12° less than the measure of ∠RTS, which can be written as:

∠RTQ = ∠RTS - 12°

Substituting this into the equation above, we get:

∠T + ∠RTS - 12° = 180°

Simplifying, we get:

∠T + ∠RTS = 192°

We can now solve for ∠RTS by substituting ∠T + ∠S = 180° into the equation above:

∠RTS = 192° - ∠T

Substituting this into the equation for ∠RTQ above, we get:

∠RTQ = (192° - ∠T) - 12° = 180° - ∠T

Since the sum of the angles in triangle RTQ is 180°, we have:

∠RTQ + ∠T + ∠R = 180°

Substituting the values for ∠R and ∠RTQ, we get:

90° + ∠T + (180° - ∠T) = 180°

Simplifying, we get:

∠T = 90°

Substituting this value into the equation for ∠RTS above, we get:

∠RTS = 192° - ∠T = 102°

Therefore, the measure of ∠RTS is 102°. The answer is (d).

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By the symmetric property of congruence is  ∠FSJ ≅∠UPR.

It is required to find the solution.

Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.

Given:

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

According to given question we have,

This idea can be extended to congruences because congruent angles have the same measure.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.

Therefore, by the symmetric property of congruence is  ∠FSJ ≅∠UPR.

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\( \: \: \: \: 15.5 \\ - 11.2 \)

ANSWER :-

4.3

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer:

D.

Step-by-step explanation:

Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours

12:45 to 17:30 is 285 minutes, or 4.75 hours

3.75 + 4.75 = 8.5 hours (total)

She earns 14.50 dollars per hour

8.5 * 14.5 = 123.25 dollars

D.

Answer:

The answers is D: 8.5 hours x $14.50 = $123.25

Step-by-step explanation:

This employee worked a total of 8.5 hours on Monday (3.75 hours in the morning and 4.75 hours in the afternoon).

Then, you have to multiply the total amount of hours worked by the number of dollars paid per hour.

8.5 hours x $14.50 = $123.25

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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Answer:

Acute

Step-by-step explanation:

Hope it helps you in your learning process.

Hello there.

What type of triangle is defined by the following set of side lengths

10, 9, 5

Answer:

Acute

Step-by-step explanation:

The triangle perimeter is the sum of the lengths of its three sides.

\(p=a+b+c=10+9+5=24\)

The semiperimeter of the triangle is half its perimeter. The semiperimeter appears in formulas for triangles to be given a separate name. the triangle inequality, the longest side length of a triangle is less than the semi perimeter.

\(s=\frac{p}{2} =\frac{24}{2} =12\)

using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known.

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

\(T=\sqrt{12(12-10)(12-9)(12-5)}\)

\(T=\sqrt{504}=22.45\)

There you go :) I even calculated it for you.

Hope this helps!

If you have any questions please ask.

\(3\leqslant |x+2|\leqslant 6\implies \begin{cases} 3\leqslant |x+2|\\\\ |x+2|\leqslant 6 \end{cases}\implies \begin{cases} 3 \leqslant \pm (x+2)\\\\ \pm(x+2)\leqslant 6 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(3\leqslant +(x+2)\implies \boxed{3\leqslant x+2}\implies 1\leqslant x \\\\[-0.35em] ~\dotfill\\\\ 3\leqslant -(x+2)\implies \boxed{-3\geqslant x+2}\implies -5\geqslant x \\\\[-0.35em] ~\dotfill\\\\ +(x+2)\leqslant 6\implies \boxed{x+2\leqslant 6}\implies x\leqslant 4 \\\\[-0.35em] ~\dotfill\\\\ -(x+2)\leqslant 6\implies \boxed{x+2\geqslant -6}\implies x\geqslant -8\)

We have to fill in the table that we have in the question with the following values as the solution

a. log6⁰, log 2 . 1, log 8/3

b. log 1 .4 , 1 , log 4. 6

c. log 9/2, log 3. 5 , log 5⁷

To do this, you have to decide on that particular number that you want to find the logarithm on. Next you have to find the base of that number.

The logarithm of the number is the power that it would have to be raised for us to obtain a different number.

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The missing step is XW/UT=VW/XV because corresponding side of similar triangle are proportional.

What is similar triangle?

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

When two triangles are similar, then their corresponding angles would be congruent while their opposite sides will be proportional to each other

In the proof, it is given, Both triangle are similar, by AA similarity theorem, hence, XW/UT=VW/XV because corresponding side of similar triangle are proportional.

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There are three highways in the county. the number of daily accidents that occur on these highways are poison random variables with respective parameters . 3, . 5, and . 7 The expected number of accidents that will happen on any of these highways today is 1.5

There is a theorem that we can use to find the expected value of a random variable that is a sum of other random variables as follows.

If X= X₁ + X₂ +...... +Xₓ, then E( X)= E(X₁) +E( X₂) +...... +E(Xₓ),

In this case, let X = the number of accidents that will happen on any of those highways today,

are the numbers of accidents on each highway, respectively.

Then X= X₁ + X₂ +X₃ .

Since  are Poisson variates, their expected values are the parameters given, .3, .5 and .7.

So E(X₁) = .3 E( X₂) = .5 E(X₃)= .7

Thus, E(X)= 1.5

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Answer:

y = 4^x

Step-by-step explanation:

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

center = origin (0,0)

radius = 3

to graph it, draw a circle that goes through the points (3,0), (0,3), (-3,0), (0,-3)

Step-by-step explanation:

Answer: A): 15.90 ounces to 16.4 ounces.

Step-by-step explanation:

Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.

With that being said, you would do the following calculations:

\(16.15-0.25=15.90\\\\16.15+0.25=16.40\)

This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.

The formula: \(u\frac{+}{-} o\)

the mean PLUS OR MINUS the standard deviation.

Answer:

A

Step-by-step explanation:

The missing terms in the sentence are "Inclination" and "Vertical."

Inclination is the angle of tilt below the imaginary horizontal plane oriented 90-degrees to the vertical direction. It refers to the angle at which an object or surface deviates from being perfectly horizontal or flat. It measures the slope or tilt of the object or surface in relation to the vertical direction.

The vertical direction is the imaginary line or axis that points directly up or down, perpendicular to the horizontal plane. It is oriented at a 90-degree angle to the horizontal direction, which is typically considered the direction parallel to the ground or any other reference plane.

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Answer:

A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero.

Hope this helps!!! :D

9514 1404 393

Answer:

  f(x) = (x^2+2)/(x-1)

Step-by-step explanation:

In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.

One such could be ...

  f(x) = (x^2 +2)/(x -1)

__

The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.

As per similar rule:

So:

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

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The TRUE statement about a New England Journal of Medicine study about twins and cancer is d) Environment played a dominant role compared to genetics in cancer likelihood amongst twins.

When a factor or person plays a dominant role, it implies that its role is decisive or overwhelming.

For instance, in the study about twins and cancer by the New England Journal of Medicine, environment decides whether twins will be predispose to cancer.

The role of environment overwhelms the role played by genetics in predisposing twins to cancer.

Thus, the true statement about the factor playing the dominant role is Option D.

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Which statement is true about a New England Journal of Medicine study about twins and cancer?

a) There was about a 70% chance if one twin contracted cancer, that the other twin would also get that same cancer.

b) Fraternal and identical twins have about the same chance of contracting cancers.

c) There was no significant correlation concerning cancer from one twin to another.

d) Environment played a dominant role compared to genetics in cancer likelihood amongst twins.

e) Environment was judged to have played a relatively small role in inherited cancer likelihood.

f) None of these statements is correct.

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

Lets take two points from this line, (4,9) and (2,6).

Method 1: Count the slope

We can use \(\frac{rise}{run}\) to count the slope.

Counting the slope, we get \(\frac{3}{2}\).

Method 2: Slope formula

We can use the formula \(\frac{y2-y1}{x2-x1}\) to calculate the formula.

Lets plug in the coordinates and solve.

\(\frac{6-9}{2-4}\)

\(\frac{-3}{-2} = \frac{3}{2}\)