Which of the following expressions are equivalent to 6 + (-4) - 5?

Choose 2 answers

A. −(−6+4)−5
B. 6−4−(−5)
C. 6−(4+5
D.6+4−5
E. −(−6)+(−4)−(−5)

By graphing both equations, we see that the solutions of the system of equations are  (1.05, 4.05) and  (-4.97, - 1.97)

Here we have the system of equations:

y = x + 3

y = 13*(x + 5)*(x - 1).

To solve this system graphically, we need to graph both equations and see where the curves intercept.

The graph of the two equations can be seen below.

There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)

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Answer:

B. -41

Step-by-step explanation:

It’s the only negative number, which makes it the farthest away from 0. The numbers in the brackets are always positive even though they show as negative because of absolute value.

Answer:

the answer is -41

Step-by-step explanation:

that furthest

1 - According to the conjugate zeros theorem if a complex number is the root of a polynomial its conjugate is a root as well.

2 - So the conjugates of i, -7i would be

-i, 7i, so

-i , 7i would ALSO be roots of the polynomial according to the conjugates zeros theorem and those are the two roots we were missing.

The power series Σ n = 1 n!(x + 6)" 135 converges for all real values of x.

The interval of convergence of the power series Σ n = 1 n!(x + 6)" 135, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Let's apply the ratio test to our power series:

lim (n→∞) |(n + 1)!(x + 6)" 135 / n!(x + 6)" 135|

= lim (n→∞) |(n + 1)/(x + 6)|

The above limit can be simplified as follows:

= |1/(x + 6)| * lim (n→∞) (n + 1)

= |1/(x + 6)| * ∞

Since the factorial term cancels out, the limit becomes infinity. The ratio test tells us that if the limit is infinity, the series converges for all values of x.

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The purpose why these concepts are present in the pictures is to develop imagination power among students.

As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.

Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.

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A real number is in between 14 square root and 15 square root is 3.8.

It should be noted that real numbers include rational and irrational numbers.

✓14 = 3.74

✓15 = 3.87

Therefore, a real number is in between 14 square root and 15 square root is 3.8.

It should be noted that this implies a number that can be sent between the square roots.

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Yes, the entire remaining water will fit in one of the half gallon jugs.

Gallon refers to the measure of the liquid.

A litre of water is equivalent to 0.264172 gallons. As a result, if one full litre of water spilled out, you'd be left with 1.73482 gallons of water. Because a half gallon jug can carry 0.5 gallons of water, the remainder 1.73482 gallons of water will certainly fit into one of the half gallon jugs.

A gallon is a term of liquid measurement equivalent to eight pints. It is approximately 4.546 litres in the United Kingdom. It is about 3.785 litres in the United States.

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The dishonest shopkeeper marks his goods with a 40% markup and offers a 25% discount to customers. The profit earned by the shopkeeper on this particular item is $105 - $100 = $5.

Let's consider the cost price of an item to be $100. The shopkeeper marks it up by 40%, which results in a selling price of $140. However, the shopkeeper then offers a 25% discount on this inflated price, bringing the price down to $105.

Now, regarding the weight manipulation, the shopkeeper falsely claims that the weight of the item is 1kg. However, in reality, it weighs only 800g. Since the selling price is determined based on weight, the customer is paying the price of 1kg while receiving only 800g of the item.

To calculate the profit, we need to subtract the cost price from the selling price. The selling price, taking into account the discount and weight manipulation, is $105. The cost price is $100. Hence, the profit earned by the shopkeeper on this particular item is $105 - $100 = $5.

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The number is 234.

Step-by-step explanation:

Let the 3 digits be H , T and U so the number is HTU.

H + T + U = 9

T = 0.5H + 0.5U

U = 2H

So  from the last 2 equations

T = 0.5H + 0.5(2H)

T = 0.5H + H

T = 1.5H

So substituting for T and H is the first equation:

H + 1.5H + 2H = 9

4.5H = 9

H = 2.

So T = 1.5*H = 1.5 *2 = 3.

The situation that can be modeled by a linear function is:

An amusement park allows 50 people every 30 minutes

Option 3 is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A linear function is a function in the form of f(x) = mx + c.

Now,

1)

The population of bacteria triples every day.

This can be written as a function,

f(x) = M x \(3^x\)

Where M is the initial number of bacteria and x is the number of days.

This is an exponential function.

2)

The value of cell phones depreciates at a rate of 3.5% each year.

This can be written as a function,

f(x) = M x \(96.5^x\)

Where M is the initial value and x is the number of years.

This is an exponential function.

3)

An amusement park allows 50 people every 30 minutes.

This can be written as a function,

f(x) = 50x

Where x is the number of times of 30 minutes.

This is a linear function.

4)

A baseball tournament eliminates half of its teams after each round.

This can be written as a function,

f(x) = M x \((1/2)^x\)

Where x is the number of rounds.

This is an exponential function.

Thus,

An amusement park allows 50 people every 30 minutes can be modeled by a linear function.

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The correct solution to this problem is option B. fail to reject H0. We can find out the solution in the following manner.

If the computed value of the chi-square test statistic is less than the critical value, the appropriate conclusion is to fail to reject the null hypothesis (H0).

In this case, the computed value of chi-square is 1.273, which is much smaller than the critical value of 13.388. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the observed data significantly deviates from the expected distribution.

Therefore, the appropriate conclusion is B. fail to reject H0.

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

Sorry

Step-by-step explanation:

I not know this one

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

The dimensions of the rectangular backyard are 23 feet by 75 feet.

Based on the information provided, we can solve for the dimensions of the rectangular backyard using the formulas for perimeter and area.

Perimeter (P) = 2(Length + Width)
Area (A) = Length × Width

P = 196 feet
A = 2,145 square feet

Using the perimeter formula, we can write:
196 = 2(Length + Width)

Now, we divide both sides by 2:
98 = Length + Width (Equation 1)

Using the area formula, we can write:
2,145 = Length × Width (Equation 2)

Now, we'll solve for one variable in Equation 1 and substitute it in Equation 2:
Width = 98 - Length

Substitute in Equation 2:
2,145 = Length × (98 - Length)

Expanding and rearranging the equation, we get:
Length² - 98Length + 2,145 = 0

By solving this quadratic equation, we get the possible dimensions for Length and Width:
Length = 23 feet, Width = 75 feet (or vice versa)

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Answer:

36

Step-by-step explanation:

I thought I just answered that one.

the first sequence had only numbers that can be divided by 3.

so, what is the first number of the second sequence that can also be divided by 3 ?

36 - it fits both.

The probability that both marbles are blue is 1/4.

Since the marble is put back into the bag before the second draw, the probability of drawing a blue marble on the first draw is 3/6 or 1/2, and the probability of drawing a blue marble on the second draw is also 3/6 or 1/2.

The probability of both events happening together (drawing a blue marble on the first and second draws) is equal to the product of the probabilities of each event occurring separately, since the two events are independent of each other:

P(Blue on first draw AND Blue on second draw) = P(Blue on first draw) x P(Blue on second draw)

= 1/2 x 1/2

= 1/4

Therefore, the probability of drawing two blue marbles in a row with replacement is 1/4 or 25%.

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Answer:

Solve.

Step-by-step explanation:

make the 2 3 and 1 then turn them into 20 30 and 10 then you need to add them together to get the answer divide that by thirty and if its more than half yes, less than half no.

The combination of truth values for r and s that satisfy the given conditions and make the statement true can be any of the four combinations mentioned above.

To determine the combination of truth values for variables r and s that make the statement true, let's break down the given information step by step.

The statement "p implies negation r or s" can be represented as "p → ¬r ∨ s." This means that if p is true, then either ¬r or s must be true (or both).

The statement "negation s implies q" can be represented as "¬s → q." This means that if ¬s is true, then q must also be true.

Combining these two statements, we can conclude that if p is true, then either ¬r or s must be true (or both), and if ¬s is true, then q must also be true.

To find all possible combinations of truth values for r and s, we can create a truth table:

|  p  |  q  |  r  |  s  | p → ¬r ∨ s | ¬s → q |

|-----|-----|-----|-----|------------|--------|

|  T  |  T  |  T  |  T  |     F      |   T    |

|  T  |  T  |  T  |  F  |     T      |   T    |

|  T  |  T  |  F  |  T  |     T      |   T    |

|  T  |  T  |  F  |  F  |     T      |   T    |

|  T  |  F  |  T  |  T  |     F      |   F    |

|  T  |  F  |  T  |  F  |     T      |   T    |

|  T  |  F  |  F  |  T  |     T      |   T    |

|  T  |  F  |  F  |  F  |     T      |   T    |

|  F  |  T  |  T  |  T  |     T      |   T    |

|  F  |  T  |  T  |  F  |     T      |   T    |

|  F  |  T  |  F  |  T  |     T      |   T    |

|  F  |  T  |  F  |  F  |     T      |   T    |

|  F  |  F  |  T  |  T  |     T      |   T    |

|  F  |  F  |  T  |  F  |     T      |   T    |

|  F  |  F  |  F  |  T  |     T      |   T    |

|  F  |  F  |  F  |  F  |     T      |   T    |

From the truth table, we can see that there are multiple combinations of truth values for r and s that satisfy the given conditions. Therefore, the combination of truth values for r and s that make the statement true can be any of the following:

1. r = T, s = T
2. r = F, s = T
3. r = T, s = F
4. r = F, s = F

In all these cases, the statement "p implies negation r or s and negation s implies q" is true.

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The combination of truth values for r and s that satisfy the given conditions and make the statement true can be any of the four combinations mentioned above Negation.

The combination of truth values for variables r and s that make the statement true, let's break down the given information step by step.

The statement "p implies negation r or s" can be represented as "p → ¬r ∨ s." This means that if p is true, then either ¬r or s must be true (or both).

The statement "negation s implies q" can be represented as "¬s → q." This means that if ¬s is true, then q must also be true.

Combining these two statements, we can conclude that if p is true, then either ¬r or s must be true (or both), and if ¬s is true, then q must also be true.

To find all possible combinations of truth values for r and s, we can create a truth table:

|  p  |  q  |  r  |  s  | p → ¬r ∨ s | ¬s → q |

|-----|-----|-----|-----|------------|--------|

|  T  |  T  |  T  |  T  |     F      |   T    |

|  T  |  T  |  T  |  F  |     T      |   T    |

|  T  |  T  |  F  |  T  |     T      |   T    |

|  T  |  T  |  F  |  F  |     T      |   T    |

|  T  |  F  |  T  |  T  |     F      |   F    |

|  T  |  F  |  T  |  F  |     T      |   T    |

|  T  |  F  |  F  |  T  |     T      |   T    |

|  T  |  F  |  F  |  F  |     T      |   T    |

|  F  |  T  |  T  |  T  |     T      |   T    |

|  F  |  T  |  T  |  F  |     T      |   T    |

|  F  |  T  |  F  |  T  |     T      |   T    |

|  F  |  T  |  F  |  F  |     T      |   T    |

|  F  |  F  |  T  |  T  |     T      |   T    |

|  F  |  F  |  T  |  F  |     T      |   T    |

|  F  |  F  |  F  |  T  |     T      |   T    |

|  F  |  F  |  F  |  F  |     T      |   T    |

From the truth table, we can see that there are multiple combinations of truth values for r and s that satisfy the given conditions. Therefore, the combination of truth values for r and s that make the statement true can be any of the following:

1. r = T, s = T

2. r = F, s = T

3. r = T, s = F

4. r = F, s = F

In all these cases, the statement "p implies negation r or s and negation s implies q" is true.

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Answer:

-4.29

Step-by-step explanation:

The computation of the z score is shown below:

data provided in the question

Average minutes = 16 minutes

Standard deviation = 1.4 minutes

Amount of advertising time = 8 minutes

Based on the above information, the z score is

\(= \frac{x-m}{\sigma} \\\\ = \frac{8-14}{\1.4} \\\\ = \frac{-6}{1.4}\)

= -4.29

Hence, the z score is -4.29. It is come by considering the above formula

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

AC ≈ 6.25

Step-by-step explanation:

using the tangent ratio in the right triangle

tan36° = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{8.6}\) ( multiply both sides by 8.6 )

8.6 × tan36° = AC , then

AC ≈ 6.25 ( to 3 SF )

The percentage error of Bob’s measurement to the nearest tenth of a percent is 3.87%

The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.

Here, given that

The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml

i.e. exprimental volume=18.8 mL

and, actual volume=18.1 mL

Now, we will calculate the percentage error

So,

percentage error=((Exprimental value-Actual value)/(Actual value))∙100

percntage error=((18.8-18.1))/18.1∙100

percentage error=0.7/18.1∙100

percentage error=0.0387∙100

percentage error=3.87%

Thus,

       We got percentage error of 3.87% in measurement

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a) The expected number of customers is 61.5.

b) Olaf's expected profit for 60 sets of skis is 369.

c) Olaf's expected profit for 61 sets of skis is 378.45.

d) Olaf's expected profit for 62 sets of skis is 387.9.

e) Olaf's expected profit for 63 sets of skis is 397.35.

f) Olaf's expected profit for 64 sets of skis is 406.8.

g) The optimal number of sets of skis Olaf should have ready for rental to maximize expected profit is 62.

a) Find the expected number of customers:
This can be calculated by multiplying the probability of each customer group by the number of customers, and then adding the results together.

For example, 0.10 × 60 = 6, 0.075 × 61 = 4.575, 0.675 × 62 = 41.25, 0.075 × 63 = 4.725, and 0.075 × 64 = 4.8,

which added together results in 61.5.

b) If 60 sets of skis are available, compute Olaf's expected profit:
This is calculated by multiplying the expected number of customers by the daily cost for the rental of each set of skis (61.5 × 6 = 369).

c) If 61 sets of skis are available, compute Olaf's expected profit:
This is calculated by multiplying the expected number of customers by the daily cost for the rental of each set of skis (61.5 × 6 = 378.45).

d) If 62 sets of skis are available, compute Olaf's expected profit:
This is calculated by multiplying the expected number of customers by the daily cost for the rental of each set of skis (61.5 × 6 = 387.9).

e) If 63 sets of skis are available, compute Olaf's expected profit:
This is calculated by multiplying the expected number of customers by the daily cost for the rental of each set of skis (61.5 × 6 = 397.35).

f) If 64 sets of skis are available, compute Olaf's expected profit:
This is calculated by multiplying the expected number of customers by the daily cost for the rental of each set of skis (61.5 × 6 = 406.8).

g) How many sets of skis should Olaf have ready for rental to maximize expected profit?
This is because the highest expected profit (387.9) occurs when 62 sets of skis are available.

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The range of people who like both coffee and tea is between 75% and 75%, with the total number of people who like both being 75%.

If 70% of people like coffee, and 80% of people like tea, the minimum number of people who like both coffee and tea is the smaller percentage, which is 70%. The maximum number of people who like both coffee and tea is the smaller of the two percentages, which is 80%.

Therefore, the range of people who like both coffee and tea is 70% to 80%.

To calculate the actual range, you must first calculate the difference between the two percentages:80% - 70% = 10%

Then divide that difference by 2 and subtract and add it to the smaller number:

10% ÷ 2 = 5%

Lower bound: 70% + 5% = 75%

Upper bound: 80% - 5% = 75%

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Answer:

I agree with Emma

Step-by-step explanation:

above

Answer:

4         12

---   :     ---

15        15

I think this might be the answer, but fair warning there is a high chance I am wrong.

the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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Answer:

The slope would be m=0 as it is a straight line.

Step-by-step explanation:

You use the slope intercept formula y=mx+b to find the slope.