Which of the following is part of the set of all possible rational zeros of f(x) = 2x²x²³ + 6x² - 5x - 8? Oi. 1 +1; ± 2; ± 4 O ii. ±1; ± 2; O iii. 1; 2; ± 4 iv. O V. -ia +1 4; ± -IN +1 None

Answer:

The average juice a bottle contain is the mean value of the juice.

is the average content in all bottles of juice in the population, which is 472mL.

The given parameters are:

--- the sample size

--- the standard deviation

--- the sample mean

--- the population mean

The above highlights means that:

The parameter  represents the population mean

This means that:

is the average content in all bottles of juice in the population.

From the question, the value is given as: 473

Hence, the true statement is:

is the average content in all bottles of juice in the population, which is 473mL.

Step-by-step explanation:

A test statistic is a statistic that is used to test statistical hypotheses. The test statistic of the given hypothesis is; C: -5

A test statistic is a statistic that is used to test statistical hypotheses. A test statistic is a numerical summary of a data set that lowers the data to a single number that can be used to perform the hypothesis test.

As it is given to us that the sample mean(x') is 472 ml, while the standard deviation(σ) is 0.2 ml.

Now, we want to know whether the minute maid put less than 473 ml into the bottles. therefore, let's first define the hypothesis;

Alternative Hypothesis; μ < 473

Null Hypothesis; H₀: μ ≥ 473

Further, the Formula for test statistics is given,

\(z = \dfrac{(x'-\mu)}{\sigma}\\\\z = \dfrac{(472- 473)}{0.20}\\\\z = -5\)

Hence, the test statistic of the given hypothesis is; C: -5.

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Answer and Step-by-step explanation:

1/2x is positive and 2 is negative, so they cross each other perpendicularly, and the equation needs to be at -13 y, 0 x

The answer is y = -2x - 13

#teamtrees #WAP (Water And Plant)

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x(x + 5)(x - 2)

x(x + 5)(x - 2) = 0

x = 0, x + 5 = 0, x - 2 = 0

x = 0, -5 and 2

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

Hence, the graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

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The capital gains his earned is $2,625

What is capital gains?
Capital gain is the profit obtained from the sale of assets whose value is higher or increased than when the asset was purchased.

The first is to calculate the difference price when selling and purchasing.

= ((100% + 20%) × $52.50) - $52.50

With the substitution formula, we can simplify it to:

= 20% × $52.50
= $10.5

Next is to multiply the difference price to share he purchased.

= $10.5 × 250
= $2,625

Thus, the capital gains his earned is $2,625

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all values of x that satisfy the inequality f(x)>0 are x < 2 or x > 6.we can solve this by using parabola equation

what is parabola ?

A parabola is a type of conic section, which is a curve that is formed by the intersection of a plane and a cone. In particular, a parabola is the set of all points in a plane that are equidistant to a fixed point (called the focus) and a fixed line

In the given question,

Since the vertex of the parabola is (4,-8), the equation of the parabola can be written in vertex form as:

f(x) = a(x-4)² - 8

where 'a' is a constant that determines the shape and orientation of the parabola.

To find the value of 'a', we can use one of the given points on the x-axis, say (2,0). Substituting x=2 and y=0 in the equation of the parabola, we get:

0 = a(2-4)² - 8

8 = 4a

a = 2

So, the equation of the parabola is:

f(x) = 2(x-4)² - 8

To find all values of x for which f(x)>0, we need to solve the inequality:

2(x-4)² - 8 > 0

Adding 8 to both sides, we get:

2(x-4)² > 8

Dividing both sides by 2, we get:

(x-4)² > 4

Taking the square root of both sides, we get:

x-4 > 2 or x-4 < -2

Simplifying, we get:

x > 6 or x < 2

Therefore, all values of x that satisfy the inequality f(x)>0 are x < 2 or x > 6.

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the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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Answer:

27

Step-by-step explanation:

volume of sphere

volume of cylinder

difference in volumes

closest option is 27

Answer:

Copy this onto a piece of graph paper

Step-by-step explanation:

when graphing you want to make sure  that the slope is correct and the y-intercept is the same

Answer:

The answer is 22%.

Step-by-step explanation:

All you need to do to figure this out is to divide 36 by 8.

8/36=.222222

Hope this helps!

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

15 units

Step-by-step explanation:

4-(-1)=5

8-(-2)=10

10 + 5 =15

The volume of the cylinder having the same radius and height as that of the cone is found to be 300 cubic feet.

The volume of the cone is 100 cubic feet and the cone and cylinder has the same radius and height.

We know the volume of the cone is given by,

V = 1/3πr²h

1/3πr²h = 100 cubic feet

πr²h = 300 cubic feet

Where, r is the radius of the cone and h is height of the cone.

Now, the volume of the cylinder is given by,

V' = πr²h

V' = 300 cubic feet.

So, the volume of the cylinder is found to be 300 cubic feet.

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Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

Jada's initial deposit was approximately $14,000.21.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, we know that Jada deposited some amount of money (P) 5 years ago and that the bank has been paying interest at a rate of 6% per year compounded daily (365 times per year). We also know that she now has $21,000 on deposit.

Using the formula above, we can solve for P:

21,000 = P(1 + 0.06/365)^(365*5)

21,000 = P(1.0618)^1825

P = 21,000 / (1.0618)^1825

P ≈ $14,000.21

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Answer:

3 a 2 − a + 10

Step-by-step explanation:

like and 5 star

Answer:

3a^2-a+10

Step-by-step explanation:

...

Answer: it would be 1 and 2

Step-by-step explanation:

It would be number two because to negatives make a positive like this.

16-(-12) is the same as 16+12 and 12-(-12) is the same as 12+12

4(x-3)=16

4x-12=16

4x=16+12

4x=28

x=7

Answer:

The answer is b.

Step-by-step explanation:

Just substitute it. :)

3(8+1)+6=33

8+1=9

9*3=27

27+6=33

Answer:

the answer is b or 8

Step-by-step explanation:

just plug all of them and see if it makes sense

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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The equation that is approximately 13.52 milligram remains is f(x) = 50(0.5)⁽¹⁰/⁵°³)

Equation:

Equation also known as expression is the combination of numbers, variables and mathematical operators.

Given,

The function gives the mass, m, of a radioactive substance remaining after h half-lives. Cobalt-60 has a half-life of about 5. 3 years.

Here we need to find the equation gives the mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain.

Here we know that, when the mass is 50 mg, it means that:

=> m = 50

So, the equation is written as,

=> f(x) = 50(0.5)⁽ᵃ/ᵇ⁾

Here they said that when 10 years remain in the life of the substance, it means that:

So, the value of t = 10 and the value of half life is 5.3

Then the equation is rewritten as,

=> f(x) = 50(0.5)⁽¹⁰/⁵°³⁾

To evaluate the equation

f(x) = 13.52

Therefore, the required equation is f(x) = 50(0.5)⁽¹⁰/⁵°³) and approximately 13.52  milligram remains

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Answer:

Exact Form: 34/9

Mixed-Number Form: 3 7/9

Step-by-step explanation:

Hope this helps.

Answer:

3 7/9

Step-by-step explanation:

2 1/8  

convert mixed numbers to improper fractions

2x8+1/8 = 17/8

1 7/9

1x7+9/9 =16/9

17/8 x 16/9

Factor the number 16=8x2

17x8x2/8x9

cancel the common factor =8

=17x2/9

=34/9

convert improper fractions to mixed numbers

34/9 =3 remainder of 7

34/9 = 3 7/9

X=3

sbzhshsbsnjsjsjsnsnsnns

Answer:

Scatter Plot and Table

Step-by-step explanation:

The bite strength to weight for different carnivores can be presented using scatter plot and tables.

Data representation is a very important skill in data analysis. It enables data to be communicated in a way that is quite understandable to the reader. There are many ways data can be presented depending on the nature of the data to be presented in each case.

In this particular case, the bite strength to weight for different carnivores can be presented using scatter plot and tables.

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Answer:

Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)

Lindsay worked for 12 hours last week

Step-by-step explanation:

Complete question below:

last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Let

y= cost of the dinner with friends

h=the number of hours Lindsay worked last week

y=1/15*(10h+60) (1)

y=1/10*(10h) (2)

Equate (1) and (2)

1/15*(10h+60)=1/10*(10h)..........equation used to find h

10h+60/15=10h/10

Cross product

(10h+60)10=15(10h)

100h+600=150h

600=150h-100h

600=50h

Divide both sides by 50

600/50=50h/50

12=h

Therefore, Lindsay worked for 12 hours last week

Answer:

\(G' = (3,1)\)

\(H' = (-4,0)\)

\(I' = (-2,-3)\)

Step-by-step explanation:

Given

See attachment for points G, H and E

Rotation: 90 degrees clock-wise

Required

Determine the coordinates after rotation

From the attachment:

\(G = (-1,3)\)

\(H = (0,-4)\)

\(I = (3,-2)\)

When a point (x,y) is rotated 90 degrees clockwise, the new point is: (y,-x)

So, we have:

\(G = (-1,3)\)

\(G' = (3,1)\)

\(H = (0,-4)\)

\(H' = (-4,0)\)

\(I = (3,-2)\)

\(I' = (-2,-3)\)

Based on the definition of a line of symmetry, we can conclude that: "the line is not a line of symmetry, because the two parts are not an exact match when the rectangle is folded over the line."

A line of symmetry is like a mirror that splits a shape into two parts that look exactly the same. If you fold a shape in half along a line and both sides look exactly the same, that line is called a line of symmetry.

Thus, from the image shown with the rectangle given, we can conclude that: "the line is not a line of symmetry, because the two parts are not an exact match when the rectangle is folded over the line."

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Point Q will be located at 27 / 7.

We are given the points:

P = - 26

R = - 5

Let Q = x

Now, we also have the ratio as:

PQ : QR = 5 : 2

PQ = Q - P

PQ = x - ( - 26 )

PQ = x + 26

QR = R - Q

QR = - 5 - x

Now, we know that:

PQ / QR = 5 / 2

2 PQ = 5 QR

2 ( x + 26 ) = 5 ( - 5 - x )

2 x + 52 = - 25 - 5 x

2 x + 5 x = 52 - 25

7 x = 27

x = 27 / 7

Therefore, point Q will be located at 27 / 7.

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To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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