Name the polynomial below.
x2 + 3x – 11

Which of the following tests would be administered to see if the percentage of votes in a city’s mayoral election matches what is being reported by the local newspaper?

Two-tailed hypothesis tests are also known as nondirectional and two-sided tests because you can test for effects in both directions

The Cox-Ross-Rubinstein (CRR) model is a mathematical model used in finance to evaluate the potential future value of an asset or portfolio. The model is based on the concept of a binomial tree.

A binomial tree is a mathematical model used in finance to estimate the probable future value of an asset or portfolio. The notion of a binomial, a mathematical expression with two potential outcomes, forms the foundation of the model. In a binomial tree, the future value of the asset is defined by two potential outcomes at each time step: a "upper" element and a down factor. The underlying variables that affect the asset, such as interest rates and market circumstances, dictate the up and down components. Reflecting This enables investors to assess the advantages and dangers of a possible investment and come to wise judgments.

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Answer:

Step-by-step explanation:

P(4 only on the last roll) = P(not 4 on first roll) and P(not 4 on the second roll) and P(not 4 on the third roll) and P(4 on the last roll)

in probability and = multiplication

P( not roll a 4) = 1 - P(roll a 4)

P(4 only on the last roll) = 1-P(4) * 1-P(4)  *1-P(4) * P(4)

P(4) = 1 (1 time# 4 appears on the die)/6 (#of possible outcomes 1,2,3,4,5,6)

P(4 only on the last roll) = 1-(1/6) * 1-(1/6)  *1-(1/6) * (1/6)

P(4 only on the last roll) =(5*5*5*1)/(6*6*6*6) = 125/1296

Answer: 125/1296

Step-by-step explanation:

Player representing greatest change of scores from first round to second round is given by player B with a difference of 8 points.

Player with the greatest change in points from the first round to the second round is,

=  difference in scores for each player and compare them.

Differences in scores for each player are as follows,

Differences in scores for Player A is

= 16 - 14

= 2

Differences in scores for Player B is

= 8 - 0

= 8

Differences in scores for Player C is

= 12 - 11

= 1

Differences in scores for Player D is

= 11 - 8

= 3

Compare all the scores we have,

1 < 2 < 3 < 8

Therefore, player B had the greatest change in points from the first round to the second round with a difference of 8 points.

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The above question is incomplete, the complete question is :

The table shows the scores of four players from two rounds of the game. Which player had the greatest change in points of the first round to the  second round?

Players     Round 1    Round 2

A                       14        16

B                        0         8

C                        11        12

D                       8         11

Answer:

\(\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24\)

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \(\triangle ACD\) and the hypotenuse of \(\triangle ADB\).

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\(\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}\)

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \(\angle CAD\). The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\(\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}\)

Now use this value in the Law of Sines to find AD:

\(\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}\)

Recall that \(\sin 45^{\circ}=\frac{\sqrt{2}}{2}\) and \(\sin 60^{\circ}=\frac{\sqrt{3}}{2}\):

\(AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}\)

Now that we have the length of AD, we can find the length of AB. The right triangle \(\triangle ADB\) is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio \(x:x\sqrt{3}:2x\), where \(x\) is the side opposite to the 30 degree angle and \(2x\) is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent \(2x\) in this ratio and since AB is the side opposite to the 30 degree angle, it must represent \(x\) in this ratio (Derive from basic trig for a right triangle and \(\sin 30^{\circ}=\frac{1}{2}\)).

Therefore, AB must be exactly half of AD:

\(AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24\)

Answer:

\( \displaystyle 25 \sqrt{6} \)

Step-by-step explanation:

the triangle ∆ABD is a special right angle triangle of which we want to figure out length of its shorter leg (AB).

to do so we need to find the length of AD (the hypotenuse). With the help of ∆ADC it can be done. so recall law of sin

\( \boxed{ \displaystyle \frac{ \alpha }{ \sin( \alpha ) } = \frac{ \beta }{ \sin( \beta ) } = \frac{ c}{ \sin( \gamma ) } }\)

we'll ignore B/sinB as our work will be done using the first two

step-1: assign variables:

step-2: substitute

\( \displaystyle \frac{100}{ \sin( {45}^{ \circ} )} = \frac{AD }{ \sin( {60}^{ \circ} )} \)

recall unit circle therefore:

\( \displaystyle \frac{100}{ \dfrac{ \sqrt{2} }{2} } = \frac{AD }{ \dfrac{ \sqrt{3} }{2} } \)

simplify:

\(AD = 50 \sqrt{6} \)

since ∆ABD is a 30-60-90 right angle triangle of which the hypotenuse is twice as much as the shorter leg thus:

\( \displaystyle AB = \frac{50 \sqrt{6} }{2}\)

simplify division:

\( \displaystyle AB = \boxed{25 \sqrt{6} }\)

and we're done!

The number of different ways of placing 15 balls in a row given that 4 are red, 3 are yellow, 6 are black, and 2 are blue is:

15!/(4!3!6!2!) = 126,126

To find the number of ways of placing the 15 balls, we use the formula for permutations with repetition. There are a total of 15! ways of arranging the balls in a row, but since there are 4 red balls, 3 yellow balls, 6 black balls, and 2 blue balls, we need to divide by the number of permutations of each color.

This gives us the formula: 15!/(4!3!6!2!), which simplifies to 126,126. Therefore, there are 126,126 different ways of placing the 15 balls in a row.

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Answer:

u = 66

v = 38

Step-by-step explanation:

In a parallelogram, opposite angles are equal.  U is opposite to 66, so it is 66 degrees

In a parallelogram, corresponding angles are supplementary.  180 - 66 = 114

this means that 3v = 114.  114/3 = 38, which is what v is.

Answer:

125

Step-by-step explanation:

Answer:   I think it's D

Step-by-step explanation: I say the answer is (B) because  in the full question, it's asking how much would 2.5 means, therefore, you're multiplying, to get 125.

If 1cm=50km Then 2.5 is 50km, 50km, 25

50+50+25=125, or simply just multiply. 25 is half of 50, so with the 2.5 there, doesn't make it a whole number, therefore, making the 25 in it's place, because of the 2.5.

Answer:

W=12cm

L=36cm

Step-by-step explanation:

We are told L=3W

and P=96

so 96=2⋅W+2⋅3⋅W

8W=96

so W=968=12cm

and L=3⋅12=36cm

hope this helps :)

Answer:

1,  8, 9

Step-by-step explanation:

total sum of 3 numbers, 6 * 3 = 18

since the median is 8 the second number should be 8.

it is now left with 2 numbers that total to 10

The third number should be 8 or higher, but it can't be 8 because all of the numbers are different. The third number should be 9 and the first number is going to be 1

The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.

61 + 62 + 63 + 64 = 250

Answer:

61 , 62 ,63 , 64

Answer:

\(y=3x^{2} -18x+15\) is the equation the quadratic as per the given conditions.

Step-by-step explanation:

Let the equation of the quadratic be:

\(y=ax^{2} +bx+c\)

Given that it has zeroes at x = 1 and x = 5 i.e. y = 0 at both the values of x.

Also passes through point (3, -12). i.e. when x = 3, y = -12

Putting x = 1, y = 0:

\(\Rightarrow a\times 1^{2} +b\times 1+c=0\\\Rightarrow a+b+c=0 ....... (1)\)

Putting x = 5, y = 0:

\(\Rightarrow a\times 5^{2} +b\times 5+c=0\\\Rightarrow 25a+5b+c=0 ....... (2)\)

Putting x = 3, y = -12:

\(\Rightarrow a\times 3^{2} +b\times 3+c=-12\\\Rightarrow 9a+3b+c=-12 ....... (3)\)

Equation (2) - Equation (1):

\(24a+4b=0\\\Rightarrow 6a +b=0 ...... (4)\)

Equation (2) - Equation (3):

\(16a+2b=12\\\Rightarrow 8a +b=6 ...... (5)\)

Equation (5) - Equation (4):

\(2a=6\\\Rightarrow a =3\)

Putting value of a in equation (4):

\(6\times 3+b=0\\\Rightarrow b = -18\)

Putting a and b in equation (1):

\(3-18+c=0\\\Rightarrow c= 15\)

So, the quadratic equation is:

\(y=3x^{2} -18x+15\)

Okay too answer this you have to take the two smallest numbers and add them, in this case the answer would be 5 + 4 = 9. The answer has to be greater than the last number, In this case, 7. So the answer is yes.

Answer:

4X=M +Y

Example 4+4=8/8+8=16

Like that it is

Answer:

+0.57

Step-by-step explanation:

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Answer:

149

Step-by-step explanation:

12× 24 = 288

228 - 139 = 149

Answer:

B. 149

Step-by-step explanation:

If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.

The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.

From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.

Answer:

-10, 40, or 5

Step-by-step explanation:

There are three ways of looking at this problem.

1.

h(x) = -x^(2) + 3x

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = -(5)^(2) + 3(5)

      simplify

      = - (25) + (15)

      = -10

2.

h(x) = (-x)^(2) + 3x

Again,

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = (-5)^(2) + 3(5)

       simplify

       =25 + 15

      = 40

3.

h(x) = -2x + 3x

Again,

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = -2(5) + 3(5)

     simplify

     = -10 + 15

     = 5

Answer:

Step-by-step explanation:

Answer:

The correct answer is 39

Answer:

it's 39 I think....️️yh I'm sure- wait am I yhhhh wait noooo

If the number of people who are overweight and have high cholesterol is 324, the number of people who are overweight and have low cholesterol is 450, the number of people who are normal weight and have high cholesterol is 368, and the number of people who are normal weight and have low cholesterol is 890, then the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol is 46.8%

To find the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol, follow these steps:

Hence, the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol is 46.8%.

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There are 3003 possible paths at the bottom right square.

To get from the top left square to the bottom right square, we need to make a total of 14 moves: 8 moves to the right and 6 moves down (or 8 moves down and 6 moves to the right).

We can represent each move by either an "R" for right or a "D" for down. For example, one possible sequence of moves is:

R R R R R R R R D D D D D D

This corresponds to moving right 8 times and down 6 times.

Since there are 14 moves in total, and we need to make 8 of them to the right and 6 of them down, the number of possible paths is given by the binomial coefficient:

C(14, 8) = 3003

Therefore, there are 3003 possible paths that will end at the bottom right square.

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Answer:

Mila= 420 Nadia= 60

Step-by-step explanation:

Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.

Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.

If there is any place you don't understand, you can ask.

#Achievements

For all conceivable random samples of size 10 from this population, the sample means distribution will have a right-skewed form.

In the situation where, with a mean of $383,500 and an SD of $289,321, the prices of homes in the US are strongly skewed to the right.

The shape of the distribution of the sample means for all possible random samples of size 10 from this population will be skewed right.

Therefore, for all conceivable random samples of size 10 from this population, the sample means distribution will have a right-skewed form.

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Correct question:
The prices of houses in the US are strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. A real estate agent takes a random sample of 10 houses and records the mean price. What is the shape of the distribution of the sample mean for all possible random samples of size 10 from this population?

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

The equation is 5x - 9 = 2x + 23.

The answer is option A.

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.

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The sequence {xn}n≥1 is eventually in the interval (1.9,2.1), but it is not necessarily frequently in that interval.

Since the limit of the sequence is given as lim xn = 2, we know that for any ε > 0, there exists an N ∈ N such that |xn - 2| < ε for all n ≥ N. In other words, the sequence approaches 2 as n gets larger.

To determine if the sequence is eventually in the interval (1.9,2.1), we need to find an N such that xn ∈ (1.9,2.1) for all n ≥ N. Since the interval (1.9,2.1) contains the value 2, we can choose N to be any positive integer. Therefore, the sequence is eventually in the interval (1.9,2.1).

However, the sequence is not necessarily frequently in the interval (1.9,2.1). For the sequence to be frequently in the interval, it would mean that for every N ∈ N, there exists an n ≥ N such that xn ∈ (1.9,2.1). But this is not guaranteed by the given limit. It is possible for the sequence to have values outside the interval infinitely often, even though it approaches 2 as n increases. Hence, the sequence is not frequently in the interval (1.9,2.1).

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Answer:

$3

Step-by-step explanation:

3 dollars because

1 pound = 16 ounces

and 1 pound costs 1.5 dollars

if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5

32/16 = 2 x 1.5 = 3

Answer:

$3.00

Step-by-step explanation:

Since 1 pound = 16 ounces and there are 32 ounces, by dividing 32/16 will equal to 2 pounds, hence $1.50 x 2 =$ 3.00

Answer:

288

Step-by-step explanation:

\(6 \times 8 \times \frac{1}{2} \times 2 + 6 \times 10 + 8 \times 10 + 10 \times 10 = 288\)

Answer:

288 sq cm

Step-by-step explanation:

Hope this helps!!

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Answer:

Pls do find the given attachment