Which functions have a vertex with a x-value of 0? Select three options.
Of(x) = |x|
f(x) = x + 3
f(x) = 1x + 31
f(x) = 1x1-6
Of(x) = x + 31-6

The value in the student t-distribution when the sample size is n = 25 and 2.5% falls is 3.77.

The t-distribution is used when the population standard deviation is not known. It is a continuous probability distribution that is symmetric, bell-shaped and centered at 0.

The t-distribution is different from the normal or Gaussian distribution as it has heavier tails, which means it gives more probability to extreme values.

The value 3.77 is calculated using the cumulative distribution function for the student t-distribution.

The cumulative distribution function (CDF) take in consideration of the degrees of freedom (df) and the tail probability (tp) for the student t-distribution.

The degrees of freedom = n - 1, which in this case is 24, and the tail probability is 2.5%.

Plugging these values into the CDF = 3.77.

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The student will have 130 dollars in the bank at the end of week 11.

The missing graph is attached with the answer.

A linear function is a function that can be represented by the formula y = mx+c ,

m is the slope of the equation , c is the intercept at y axis.

The student will have 130 dollars in the bank at the end of week 11.

For each passing week, the student will have $10 more in the bank than at the end of the previous week. So, following this pattern:

At 4 week $50

At 5 week $60

The slope =

m =( 60-50)/1 = 10

y = 10x +c

at x = 0 , y = 20

c = 20

The equation is

y = 10x +20

y = 110 +20

y = $130

At the end of 11 weeks, he will have $130.

The student will have 130 dollars in the bank at the end of week 11.

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There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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David ought to keep saving money in his simple interest account regardless of his current age.

He will be able to purchase his 30,000 USD boat at that rate each year. David would need to put at least 5 to 10 percent of his income into a savings account with simple interest.

Your initial investment as well as any interest that has already been accrued will earn interest in a compound interest account. The "compounding" factor is the appreciation of interest based on interest that occurs over time. On the other hand, simple interest accounts only pay interest on the initial principal.

Both guaranteed and non-guaranteed substances benefit from compounding. You might lose all of your money or some of it. Stocks, income trusts, real estate, mutual funds, and gold are all examples.

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Answer:

− 24 + 6 i √ 6

Step-by-step explanation:

The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

A line's slope determines how steep it is. A mathematical expression for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two points. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is used to represent it. The y-intercept is located at a point where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

for parallel their slope will be equal

y1= 1x/2 + 3/8 .... eq1

y2= kx/4 + 5k/4  ..... eq2

y1 = y2

1x/2 + 3/8 = kx/4 + 5k/4

1/2 + 3/8 = k/4 + 5k/4

7/8 = 6k/4

k = 7/12

for perpendicular product of their slope is 1

y1 * y2 = 1

1x/2 + 3/8 * kx/4 + 5k/4 = 1

1/2 + 3/8 * k/4 + 5k/4 = 1

k = 1/21

so The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

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Answer:

Step-by-step explanation:

cot²α csc α+2 cot α csc α-3 csc α

=csc α (cot²α+2cot α-3)

=csc α (cot² α+3cot α- cot α-3)

=csc α[cot α(cot α+3)-1(cot α+3)]

=csc α (cot α+3)(cot α-1)

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Answer:

im pretty sure the quotent is 17

Step-by-step explanation:

hope this helps!

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

Answer:

Nvm misread question

Step-by-step explanation:

one second please

Answer:

i) \(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

ii) \(P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317\)

\(P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211\)

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

And replacing we got:

\( P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883\)

iii) \(P(X <2)= 0.00317+ 0.0211= 0.02427\)

Step-by-step explanation:

Let X the random variable of interest "number of inhabitants of a community favour a political party', on this case we now that:

\(X \sim Binom(n=20, p=0.25)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

Part i

We want this probability:

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

Part ii

We want this probability:

\(P(X\geq 3)\)

And we can use the complement rule and we have:

\(P(X\geq 3) = 1-P(X<3)= 1-P(X \leq 2) =1- [P(X=0) +P(X=1) +P(X=2)]\)

And if we find the individual probabilites we got:

\(P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317\)

\(P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211\)

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

And replacing we got:

\( P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883\)

Part iii

We want this probability:

\( P(X <2)= P(X=0) +P(X=1)\)

And replacing we got:

\(P(X <2)= 0.00317+ 0.0211= 0.02427\)

Answer:

the correct answer is D

Step-by-step explanation:

Answer:

hello ok I will share u the link where u can find step by step answers

Answer:

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.

A Let tower be AB

Let point be C

Distance of point C from foot of tower = 30m Hence,

BC = 30m

Angle of elevation = 30°

So < ACB = 30°

Since tower is vertical,

< ABC = 90°

To find the term independent of x in the expansion of (-x + 3/x)^4, we can use the binomial expansion formula:

(a + b)^n = a^n + na^(n-1)b + (n(n-1))/2a^(n-2)*b^2 + ... + b^n

In this case, we have a = -x and b = 3/x, so we can substitute these values into the formula to get:

(-x + 3/x)^4 = (-x)^4 + 4*(-x)^3*(3/x) + 6*(-x)^2*(3/x)^2 + 4*(-x)*(3/x)^3 + (3/x)^4

The term independent of x is the constant term in this expansion, which is (3/x)^4. This term does not contain any x variables, so it is independent of x.

Therefore, the term independent of x in the expansion of (-x + 3/x)^4 is (3/x)^4. Note that this term is only defined if x is not equal to zero, because dividing by zero is undefined.

what do you mean by binomial expression?

A binomial expression is a mathematical expression that is composed of two terms, typically separated by a plus or minus sign. The two terms are called the binomial terms.

For example, the expression "x + 3" is a binomial expression, with the terms "x" and "3" being the binomial terms. The expression "2x^2 - 4y" is also a binomial expression, with the terms "2x^2" and "-4y" being the binomial terms.

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Answer:

The answer is (19,12)

Answer:

I believe it's true

Step-by-step explanation:

I hope this helps

Answer:

12

Step-by-step explanation:

By using the GCF and distributive property 26 + 91 is 13(2 + 7) which is equal to 117.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given we have to use the GCF and the Distributive Property to find the sum 26 +91.

GCF of 26 and 91 is 13.

∴ 26 + 91,

= 13(2 + 7).

= 13(9).

= 117.

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The required container can hold (10/3) times the amount of water poured into it.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's assume the container can hold "x" gallons of water.

According to the problem, the container is 1/5 full initially, which means it contains (1/5)x gallons of water.

After pouring in some water, it is 7/10 full, which means it contains (7/10)x gallons of water.

The difference between the initial and final amounts of water is the amount of water poured into the container. Therefore, we can set up an equation:

(7/10)x - (1/5)x = the amount of water poured into the container

(7/10 - 1/5)x = (3/10)x = the amount of water poured into the container

We know that this amount of water is in gallons, so we have:

(3/10)x = the amount of water poured into the container in gallons

We can solve for "x" by dividing both sides by 3/10:

x = (the amount of water poured into the container in gallons) / (3/10)

x = (10/3) x (the amount of water poured into the container in gallons)

Therefore, the container can hold (10/3) times the amount of water poured into it.

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Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).

Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)

Answer:

  (3x +2w)/(2x -3w)

Step-by-step explanation:

The usual rules for adding and dividing fractions apply:

  (a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator

  (a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"

__

  \(\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}\)

Answer:

x = 120 degress

Step-by-step explanation:

I can help with more, I have the answers.

Answer:

2.4 hoped this helped

(let me know if it did) :)

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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The 17th term of the sequence is 289

The nth term is given as

Sn = n^2

The 17th term of the sequence implies that

n = 17

So, we have

S17 = 17^2

Evaluate

S17 = 289

Hence, the 17th term of the sequence is 289

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Answer:

A . x=13 is the solution of this question.

Answer:

x=3

Step-by-step explanation:

subtract 12 from both sides of the equation

x+12=25

x+12-12=25-12

then subtract the numbers

x=13

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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