Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?
O f(x) = x(x – a)3(x – b) 3
O f(x) = (x – a)2(x – 614
O f(x) = x(x – a) (x – 5)2
O f(x) = (x – a)5(x – b)

\(8(3x + 1)\)

Factor out 8 from the expression

You have an SRS of six observations from a Normally distributed population, the correct answer is (c) 2.015

To obtain an 80% confidence interval for the mean µ of a Normally distributed population with a small sample size (n<30), we need to use a t-distribution with n-1 degrees of freedom. In this case, since we have an SRS of six observations, our degrees of freedom are 6-1=5. To determine the critical value for an 80% confidence interval using a t-distribution with 5 degrees of freedom, we can use a t-table or a calculator. Using a t-table, we would find the row corresponding to 5 degrees of freedom and the column for a two-tailed test with an area of 0.10 (80% divided by 2). The intersection of this row and column gives us a critical value of 2.015. Therefore, the correct answer is (c) 2.015. Alternatively, we could use a calculator that has a t-distribution function. In this case, we would enter a confidence level of 0.80, a degree of freedom of 5, and ask the calculator to output the critical value. This would also give us a critical value of 2.015.

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Answer:

x=6

Step-by-step explanation:

Given: 4(x+4)+2x=52

Distribute.

4x + 16 + 2x = 52.

Simplify.

6x + 16 = 52.

Subtract 16 on both sides to isolate out the variable.

6x = 36

Divide.

x = 6

Answer:

x = 6

Step-by-step explanation:

first we distribute the 4 to the (x + 4) by multiplying 4 times each of those

4x + 16 + 2x = 52

Then, combine like terms:

6x + 16 = 52

then subtract 16 from both sides of your equation

6x = 36

then divide both sides by 6

x = 6

let me know if you have questions

As per the Triangle ABC shown, and the data provided about it's various segments and sides, in the reference attachment attached thereby along with the question statement, ΔDEC is proved to be an equilateral triangle

As per the question statement, we are provided with a reference attachment attached thereby, which contains the structure of a triangle, ΔABC, and some information about the perpendiculars and sides of it, such as (BE ⊥ AD), (AC ⊥ BD), (AC ≅ BE) and (DE ≅ EC).

We are required to prove that, the interior triangle formed, ΔDEC is an equilateral triangle.

Now, considering ΔACD and ΔBED also formed inside ΔABC,

(AC ≅ BE)...[given],

(∠BED = ∠ACD = 90°)...[∵(BE ⊥ AD) and (AC ⊥ BD), given],

And (∠ADC = BDE)...[Common angle]

That is, ΔACD and ΔBED are congruent triangles by Side-Angle-Angle similarity.

Therefore, (DE = DC)...[Since they are corresponding sides of ΔACD and ΔBED and they are congruent to each other, already proved]

Also, since given in question statement that (DE = EC), therefore,          (DE = DC) also.

And since DE, EC and DC form a triangle where (DE = EC = DC), therefore, ΔDEC is proved to be an equilateral triangle.

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Answer:

Step-by-step explanation:

-8x+3+2x=5(x-6)

-6x+3=5x-30

-11x=-33

x=3

A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative thus point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5).

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

A line will have a positive slope if it makes an acute angle with a positive x-axis while if it makes an obtuse then the slope will be negative.

As shown below,

The purple line makes an acute angle (less than 90 °) thus slope will be positive and the blue line makes an obtuse angle (greater than 90°) thus the slope is negative.

Hence "point (x₁,y₁) can be (2,5) and (x₂,y₂) could be (-7,5)".

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Answer: Opposites are the reversed place on the number line, (etc. -5 to 5) while absolute value is the number's distance from zero.

3.75 miles he run at the gym.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.

On days when he doesn't walk, he runs all that distance at the gym.

But  he walks 2 blocks, he cuts of 1/12 a mile off his run.

Today Joshua walked 12 blocks.

As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.

He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.

4.25 - 6(1/12) = 3.75

Therefore, 3.75 miles he run at the gym.

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Answer: $ 0.146 per year.

Step-by-step explanation:

Given: Average price of gas in 2000 = $1.57 per gallon

Average price of gas in 2005 = $2.30 per gallon

The rate of change for each year between 2000 to 2005

= \(\dfrac{\text{Change in price}}{\text{Change in time}}\)

\(=\dfrac{\text{Price in 2005- Price in 2000}}{2005-2000}\\\\=\dfrac{2.30-1.57}{5}\\\\=\dfrac{0.73}{5}=0.146\)

Hence, the rate of change for each year between 2000 to 2005 is $ 0.146 per year.

The statements second, Third and Fifth are correct statement related probabilities. which represent the 0.25 indicates an unlikely event and

0.75 indicates a likely event and 0.5 indicates equally likely to occur or not occur.

According to the statement

we have given that the some points related the probability and we ahve to express the correct statement and explain them.

So, We know that the

Probability is a the chance that a given event will occur.

And we know that the

You might split the likelihood in some notorious outcomes:

0: impossible (the event will never happen)

Close to zero (about 0 - 0.3): unlikely (the chances are small)

0.5: even (equal chances of happening and not happening)

Close to 1 (about 0.7 - 1): likely (the changes are large)

1: certain (it is 100% sure that the event will happen)

This means that:

first statement, 0 indicates a certain event, is incorrect.

0.25 indicates an unlikely event (second statement is correct)

0.75 indicates a likely event (third statement is correct)

fourth statement is incorrect (1 does not indicate an impossible event, but a certain event)

0.5 indicates equally likely to occur or not occur (fith statement is correct).

So, The statements second, Third and Fifth are correct statement related probabilities. which represent the 0.25 indicates an unlikely event and

0.75 indicates a likely event and 0.5 indicates equally likely to occur or not occur.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Given that the Probability of a chance event is a number between zero and one that expresses the likelihood of the event occurring, choose all that are correct.

•0 indicates a certain event

•0.25 indicates an unlikely event

•0.75 indicates a likely event

•1 indicates an impossible event

•0.5 indicates equally likely to occur or not occur.

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Probability of an event is the measure of its chance of occurrence. The correct probabilities are:

Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.

Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).

Symbolically, we write it as:

\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\)

For three sets, A, B and C:

\(n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)\)

The problem is incomplete. The corresponding venn diagram is attached below.

We can symbolize the venn diagram as:

\(n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8\)

S = sample space = collection of all unique elements.

S is union of A, B and C.

\(n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49\)

Checking all the options for their correctness:

We have:

\(P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}\)

Thus, its correct.

\(P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}\)

Thus, this option is incorrect.

Thus, this option is incorrect.

\(P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}\)

Thus, its correct.

\(P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}\)

Thus, this option is incorrect.

Thus, the correct probabilities are:

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Answer:

the asnwer is 15

Step-by-step explanation:

firts add sevent in both sides

7x=105

Then divide by 7

105/7=x

x=15

Answer

x=15

Step-by-step explanation:

first step 7x=98+7 second step 7x=105 third step x=105/7 fourth step is your answer which is x=15

check it =

7x15-7=98

105-7=98

98=98

Answer:

divide d by 1

6.7÷1 so it will be the answer

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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Answer:

The equation that represents the relation is;

d. y = -16/x

Step-by-step explanation:

The

An inverse variation of an ordered pairs is the set of ordered pairs that is given by the relationship that as one variable in an ordered pair increases, the other decreases and vice versa

Mathematically, an inverse relation can be expressed as follows;

y ∝ 1/x

From which we have;

y = k/x, where, "k", represents the constant of proportionality

Therefore, we have;

k = y × x

The given ordered pair are;

{(-1, 16), (2, -8), (4, -4)}

Therefore, k = y × x = 16 × (-1) = -8 × 2 = -4 × 4 = -16

The given function is y = k/x = -16/x

Therefore, y = -16/x.

Answer:

whats the rest of the question or what's the available answers

Answer:

9

Step-by-step explanation:

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

A room area

Lenght × Width = 16 × 12

= 192 square feet

1 square yard = 9 square feet

so 1 square feet = 1/9 square yard

192 square feet = 192 × 1/9 square yard

= 64/3 square yard

Total cost

$30 × 64/3 = $640

Answer:

x=39

Step-by-step explanation:

I can explain later but I know you have a time limit right now.

Answer:

Parallelogram has two points of congruent angles.

Step-by-step explanation:

3x - 15 = 2x + 24

add 15 to both sides

3x = 2x + 39

subtract 2x from both sides

x = 39

Answer:

1 and 1/4

Step-by-step explanation:

If you multiply 1/4 five times, you will get your answer

If we assume that the take-up of the program remains 100%, then we would have less power to detect an effect size of 0.4 standard deviations compared to an effect size of 0.5 standard deviations.

This is because the power of a study design is directly related to the effect size and the number of standard deviations away from the mean. In this case, a smaller effect size of 0.4 standard deviations would be closer to the mean and thus would require a larger sample size or greater statistical power to detect. Therefore, if all other things remain equal, we would have less power to detect a smaller effect size of 0.4 standard deviations compared to a larger effect size of 0.5 standard deviations.
The statistical power of a study design, in this case, 80%, indicates the probability of correctly rejecting the null hypothesis when the treatment effect is 0.5 standard deviations. When the effect size is reduced to 0.4 standard deviations, other things being equal, the power to detect this effect will be lower than 80%. This is because smaller effect sizes are harder to detect, and require larger sample sizes or more stringent significance levels to maintain the same power. So, in this scenario, we have less power to detect an effect size of 0.4 standard deviations compared to 0.5 standard deviations.

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Answer:

ab and cd intersect at E because they are vertically opposite angles they always intersect at a point

Step 1

Add the length of the 2 ropes of Jen.

Step 2

Find the difference between the rope of Jen (279/8)ft and Kelsey(71/2)ft

Hence, Kelsey has 5/8 feet of more rope. Option C

Answer:

C

Step-by-step explanation:

Answer:

circumference = 131.9

area = 1385

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Circumference of a circle: 2πr

π = 22/7

r = d/2

r = 42/2

r = 21

2 × 21 × 22/7

42 × 22/7 = 924 ÷ 7 = 132

Circumference = 132m

Area of the circle: πr²

π = 22/7

r = 21

22/7 × (21²)

22/7 × 441 = 9702 ÷ 7 = 1386

Area = 1386 m²

Hope this helps!

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

The probability that a randomly selected student in my class does not read either of them is 0.20.

We are given that;

- A: the event that a student reads WSJ

- B: the event that a student reads NYT

- P(A) = 0.60, the probability that a student reads WSJ

- P(B) = 0.50, the probability that a student reads NYT

- P(A \cap B) = 0.30, the probability that a student reads both WSJ and NYT

Now,

We can plug these values into the formula and calculate the probability that a student reads at least one of them:

\($$P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.60 + 0.50 - 0.30 = 0.80$$\)

Therefore, the probability that a randomly selected student in my class reads at least one of them is 0.80.

To find the probability that a randomly selected student in my class does not read either of them, we can use the fact that the sum of all probabilities in a sample space is 1. So, we can subtract the probability of reading at least one of them from:

\($$P(\text{neither}) = 1 - P(A \cup B) = 1 - 0.80 = 0.20$$\)

Therefore, by probability the answer will be 0.20.

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Answer:

9.4

Step-by-step explanation:

2(2s - 3t)

Substitute s and t for 5.2 and 1.9

2(2 x 5.2 - 3 x 1.9)

Multiply Inside the Parenthesis

2(10.4 - 5.7)

Subtract Inside the Parenthesis

2(4.7)

Multiply to get

9.4

To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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