Precalc solve the solution set

Answer:

B

Step-by-step explanation:

because when we calculate it will be

Answer:

B

Step-by-step explanation:

The 2 numbers are the same just on opposite sides of 0. Therefore is you add them together, they will equal 0

Answer:

-4

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1, so 1/4 x -4 = -1

Hence the slope for line B is -4

The cell in the "Purchased" column under the "Blue Raspberry" row would be filled with 201.The cell in the "Purchased" column under the "Cherry" row would be filled with 187.

 A two-way table, also known as a contingency table or cross-tabulation, is a way to organize categorical data by creating a table with two variables. In this case, the two variables would be the snowball flavor (blue raspberry or cherry) and the customer's purchase decision (purchased or did not purchase).

Here's how the two-way table would look based on the given data:

                          Purchased                    Did Not Purchase                Total

Blue Raspberry         201                                    ?                                 201 + ?

Cherry                         187                                    ?                             187 + ?

Total                          201 + 187                           24                             324

In the table, the rows represent the snowball flavors (Blue Raspberry and Cherry), and the columns represent the purchase decision (Purchased and Did Not Purchase). The last row and column represent the total counts for each variable.

To fill in the table, we know that 201 customers purchased Blue Raspberry snowballs and 187 purchased Cherry snowballs. Additionally, 24 customers did not make a purchase. Since the total number of customers is given as 324, we can fill in the missing values by subtracting the known counts from the total.

So, in the table:

The cell in the "Purchased" column under the "Blue Raspberry" row would be filled with 201.

The cell in the "Purchased" column under the "Cherry" row would be filled with 187.

The cell in the "Did Not Purchase" column under the "Blue Raspberry" row would be filled with the difference between the total count of Blue Raspberry purchases (201) and the total customer count (324), which is 123.

The cell in the "Did Not Purchase" column under the "Cherry" row would be filled with the difference between the total count of Cherry purchases (187) and the total customer count (324), which is 137.

The two-way table allows us to see the relationship between the snowball flavor and the purchase decision and helps in calculating probabilities and analyzing the data more easily.

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Step-by-step explanation:

pure acid is a 100% acid solution.

x = ml of 100% solution

1×x + 0.3×400 = 0.75×(400 + x)

x + 120 = 300 + 0.75x

0.25x = 180

x = 720 ml

we must add 720 ml of pure acid to the 400 ml of 30% solution to create a 75% solution (1,120 ml in total).

Since the car depreciated by 25%, the car was worth £9,000 after the first year.

Calculated is an adjective that describes a process or action that requires the use of mathematics or numerical data. It can refer to anything from complex financial calculations to measuring the area of a room. Calculated is often used to describe decisions or actions that are made after carefully considering the available information. For example, a calculated risk is one that has been assessed for its potential risks and rewards before being taken. Calculated decisions are based on logical reasoning and facts rather than impulse or emotion.


The non-calculator method to find out how much the car was worth after the first year would involve using the concept of percent change. To calculate the percent change, first identify the original amount (the cost of the car before depreciation) and the new amount (the cost after depreciation). In this case, the original amount is £12,000 and the new amount is 25% lower than the original amount.

To find the new amount, first convert the 25% decrease into a decimal. To do this, divide the percentage by 100. 25% can be written as 25/100, which when simplified is 0.25. Subtract the decimal from 1. The difference between 1 and 0.25 is 0.75. This number is the percentage change.

To apply this percentage change to the original amount of £12,000, multiply 0.75 by 12,000. The result of this calculation is £9,000, which is the cost of the car after the first year. Since the car depreciated by 25%, the car was worth £9,000 after the first year.

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It can be concluded that if the process was stopped at 6.5 minutes, it would have killed 105 number of organisms, but the remaining organisms would still be viable.

The decimal reduction time of autoclaving is 3.2 minutes. To determine how long it will take to kill 105 numbers of organisms, the time required to kill one organism should be calculated.

To calculate the time required to kill one organism, we will use the formula:

Tn = D * log No / Nn

Where:
Tn = Time required to kill N number of organisms
D = Decimal reduction time
No = Initial number of organisms
Nn = Final number of organisms

Therefore, the time required to kill one organism is:

T1 = D * log 10 / 1 = D * 1 = D = 3.2 minutes

The time required to kill 105 number of organisms can now be calculated using the same formula:

T105 = D * log 10 / 105

= D * 2.0212 = 6.4672 minutes (approx.)

Therefore, it will take approximately 6.5 minutes to kill 105 number of organisms.



It can be concluded that if the process was stopped at 6.5 minutes, it would have killed 105 number of organisms, but the remaining organisms would still be viable.

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Answer:

Step-by-step explanation:

all values are true

Answer:

Step-by-step explanation:

So we know that there are 213 oranges and Theresa fills each bag with 3 oranges, so we can represent each bag as 3x. She keeps filling until she reaches 51 oranges.

First. let's write this as an equation, She is starting with 213 oranges and filling x bags with 3 oranges to the point she has less than 51 oranges.

213 - 3x < 51

Now add 3x to both sides,

213 - 3x + 3x < 51 + 3x

213 < 51 + 3x

Now we subtract 51 from both sides,

213 - 51 < 51 - 51 + 3x

162 < 3x

Now we divide both sides by 3,

162/3 < 3x/3

We find the answer,

54 < x

x > 54 bags

To construct a confidence interval for the proportion of all depositors who ask for cash back, we can use the formula:

Confidence Interval = sample proportion ± (critical value) * standard error

Given that 16 out of 47 depositors received cash back, the sample proportion is 16/47 = 0.3404.

To find the critical value, we need to determine the z-score corresponding to a 90% confidence level. For a 90% confidence level, the z-score is approximately 1.645.

The standard error can be calculated as:

standard error = sqrt((sample proportion * (1 - sample proportion)) / n)

where n is the sample size.

In this case, the sample size is 47.

Plugging in the values, we have:

standard error = sqrt((0.3404 * (1 - 0.3404)) / 47) = 0.0776

Now we can construct the confidence interval:

Confidence Interval = 0.3404 ± (1.645 * 0.0776)

Calculating the values:

Lower bound = 0.3404 - (1.645 * 0.0776) = 0.2095

Upper bound = 0.3404 + (1.645 * 0.0776) = 0.4713

Therefore, the 90% confidence interval for the proportion of all depositors who ask for cash back is approximately 0.2095 to 0.4713.

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Answer:

9 sheeps.

Step-by-step explanation:

Note the usage of words.

If you remove "but nine", you will be left with "all... die", which means that he will have 0 sheep. However, the usage of 9 implies that there are some remaining; The number attached suggest the amount left.

9 sheep are left.

~

Answer:

9

Step-by-step explanation:

Answer:

wouldnt it be 180?

Step-by-step explanation:

Answer:

p + (m × 1) = t

If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:

(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)

Therefore, the equation you can use is p + (m × 1) = t.

Answer:

5?

Step-by-step explanation:

There is no value for x, but the y value for 0 would be 5.

Answer:

2

Step-by-step explanation:

Answer:

x equals 2

Step-by-step explanation:

‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎

Answer = 24 ÷ sin 60 = 27.71281 = 28 ft

Answer:

The decimal value of the volume already given= 1885.2 unit³

For radius 11 unit height 12 unit

Volume= 484π unit³

Volume= 1520.73 unit ³

For radius 4 unit height 6 unit

Volume= 32π unit³

Volume= 100.544 unit³

For radius 20 unit height 15 unit

Volume= 2000π unit³

Volume= 6284 unit³

Step-by-step explanation:

The decimal value of the volume already given= 600π

The decimal value of the volume already given= 600*3.142

The decimal value of the volume already given= 1885.2 unit³

For radius 11 unit height 12 unit

Volume= πr²h/3

Volume= 11²*12/3 *π

Volume= 484π unit³

Volume= 1520.73 unit ³

For radius 4 unit height 6 unit

Volume = πr²h/3

Volume= 4²*6/3(π)

Volume= 32π unit³

Volume= 100.544 unit³

For radius 20 unit height 15 unit

Volume= πr²h/3

Volume= 20²*15/3(π)

Volume= 2000π unit³

Volume= 6284 unit³

Here's the right answer.

Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Answer:

45.94%

Step-by-step explanation:

Probability-Above 45.94%

Z =0.1  

x= 61

µ 60

σ 9.8

Markov analysis is used for analyzing the performance and reliability of complex systems, while replacement charts are used for optimizing the replacement timing of deteriorating assets.

Markov Analysis:

Markov analysis is a probabilistic model that is used to predict the future state of a system based on its current state.

It involves the use of Markov chains to model the transitions between different states of a system over time.

Markov analysis is commonly used when the equipment or system under consideration can be in multiple states with varying probabilities of transition.

It is suitable for analyzing systems that have a continuous or non-repairable nature, such as complex machinery, infrastructure, or systems with multiple failure modes.

The primary objective of Markov analysis is to assess the reliability, availability, and performance of the system and make decisions regarding maintenance, replacement, or repair strategies.

Replacement Chart:

A replacement chart, also known as a replacement model or replacement policy, is a decision-making tool used to determine the optimal time to replace a piece of equipment or system.

It involves comparing the costs associated with continuing to use the existing equipment (including maintenance and repair costs) with the costs of replacing it.

The replacement chart provides a visual representation of the costs over time and helps identify the point at which replacement becomes more cost-effective than continued use.

Replacement charts are commonly used for assets that are subject to wear and tear, aging, or deterioration over time, such as vehicles, machinery, or equipment with a defined lifespan.

The primary objective of a replacement chart is to minimize costs associated with the asset's life cycle by optimizing the replacement timing.

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Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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Step-by-step explanation:

If the testing firm rejects the null hypothesis at the 0.10 level of significance, it means that they have found evidence that suggests that the publisher's claim of 43% ownership of personal computers among readers is inaccurate.

Since the null hypothesis always assumes that there is no statistically significant difference between the observed data and the expected data, rejecting it means that there is a statistically significant difference between the observed data and the expected data. In this case, it means that the proportion of readers who own a personal computer is significantly different from 43%.

However, it is important to note that rejecting the null hypothesis does not necessarily prove that the publisher's claim is completely false or inaccurate. It only suggests that there may be reason to question its accuracy. Further investigation and testing would be needed to establish a more confident conclusion.

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

Hence explained !

a) A recurrence relation for the number of bit strings of length n that contain three consecutive 0s :

a_n = a_(n-1) + a_(n-2) + a_(n-3) + 2^(n-3)   for n ≥ 3

b) The initial conditions are:

a_0 = a_1 = a_2 = 0 and a_3 = 1

c) There are 47 bit strings of length seven contain three consecutive 0s

Let s_n be a string of length n that does not have 3 consecutive 0's, and a_n be the number of strings  that contain three consecutive 0's

Consider a string of length n -1 that does not have 3 consecutive 0's, s_(n-1)

If we add 1 to this string, then we get a string s_n.

Consider a string s_(n-2)

If we add 10 at the end, then we get a string s_n

Now consider a string s_(n-3)

If we add 100 at the end we get a string s_n.

Now we got all possible strings s_n: that end in 1 (i.e. the last 3 digits could be 001, 011, 101 and 111),

Those strings that end in 10 (i.e. the last 3 digits could be 010 and 110)

and those strings  that end in 100. There are no other possibilities without having 3 consecutive zeros.

In the third case, there are a_(n-3) possibilities. And, in the fourth case, there are 2^(n-3) possibilities.

Hence the recurrence relation is

So, a_n = a_(n-1) + a_(n-2) + a_(n-3) + 2^(n-3)   for n ≥ 3

The initial conditions are a_0 = a_1 = a_2 = 0 and a_3 = 1

The recurrence gives the sequence of positive integers 0, 0, 0, 1, 3, 8, 20, 47, 107, 238, 520, 1121, 2391, . . . .

Hence there are a_7 = 47 bit strings of length seven that contain

three consecutive 0's.

Therefore, a) the recurrence relation:

a_n = a_(n-1) + a_(n-2) + a_(n-3) + 2^(n-3)   for n ≥ 3

b) Initial conditions: a_0 = a_1 = a_2 = 0 and a_3 = 1

c) there are 47 bit strings of length seven

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Answer:

A, it's the only one with a number greater then 1

To find the probability that at least two dice show the same number, we can first calculate the probability that all five dice show different numbers, and then subtract it from 1.

Step 1: Calculate the probability that all five dice show different numbers.
The first dice can show any number, so its probability is 1. For the second dice, there are 5 remaining numbers that are different from the first one, so its probability is 5/6. Similarly, the third dice has 4 remaining numbers, so its probability is 4/6, and so on.
So the probability that all five dice show different numbers is (1) x (5/6) x (4/6) x (3/6) x (2/6) = 20/216 = 5/54.

Step 2: Subtract the probability from 1 to find the probability of at least two dice showing the same number.
1 - 5/54 = 49/54.

Therefore, the probability that at least two dice show the same number is 49/54.

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Answer:4.62x10^13

Step-by-step explanation:

(a) A sound with an intensity of 1 watt per square meter has a decibel level of -120.

(b) A sound with an intensity of 10⁻² watt per square meter has a decibel level of -140.

(c) The number of decibels is not 100 times as great as the intensity, even though the intensity in part (a) is 100 times greater than the intensity in part (b).

Using the relationship of intensity of sound and number of decibels, we can calculated the required number of decibels as follows;

β =10 log(I x 10⁻¹²)

(a) Decibel level: plugging in I = 1 watt per square meter into the equation, we get:

β = 10 log(1 x 10⁻¹²) = 10 log(10⁻¹²) = -120 decibels

(b) Decibel level: plugging in I = 10⁻² watt per square meter into the equation, we get:

β = 10 log(10⁻² x 10⁻¹²) = 10 log(10⁻¹⁴) = -140 decibels

(c) Let's calculate the decibel level for the sound in part (a) using the given formula:

β₁ = 10 log(I₁ x 10⁻¹²) = 10 log(100 x I₂ x 10⁻¹²) = 10 log(I₂ x 10⁻¹⁴) + 20

where;

Using the result from part (b), we can substitute I₂ = 10⁻² watt per square meter and get:

β₁ = -140 + 20 = -120 decibels

Comparing this result to the decibel level for the sound in part (a) (which is also -120 decibels), we see that they are the same.

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Therefore the solution to the difference of fraction comes out to be

12/95

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.

Here,

the given fractions are 3/5 and 9/19

and to find the difference

we take lcm of both denominators

=>  3/5-9/19

=>  (3*19-9*5)/5*19

=>  (57-45)/95

=> 12/95

Therefore the solution to the difference of fraction comes out to be

12/95

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Answer:

-7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.