What is the value of the expression 30+(-6)?
-180
-5
5
24​

Cos of 58 degree =0.5299

tan of 23 degree = 0.4244

The probability that client G you’re considering for a 30-year policy, lives to be 48 years old is 99.90%

The question is incomplete, because a probability table is required to answer this question

From the table in the complete question, the required probability is:

P = 0.998986

Express as percentage

P = 99.8986%

Approximate to 2 decimal places

P = 99.90%

Hence, the required probability is 99.90%

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Answer:

93.526 percent chance of living up to 48 years old

Step-by-step explanation:

\(\frac{93,526}{100000}\)= 0.93526

0.93526= 93.526

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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Answer:

3. A

4. C

5. A

Hope this help you

Answer:

The radius is 7.

Step-by-step explanation:

To find the radius of this circle, we would have to find the diameter first. This can be found by looking at both the directions of the origin (left and right) and counting how many spots it goes until the circle ends.

On the left, there is 6 spots. On the right, there is 8. So we would add to find the full way around or the diameter (6 + 8) and we get 14.

Now, since radius is halfway around or is half of the diameter, we simply divide 14 by 2 which is 7.

Therefore, the answer is 7.

The pressure difference in the three columns remains the same because the water is not overflowing from any of the tubes.

The difference in pressures recorded at several sites is referred to as pressure differential. Numerous industries commonly use pressure difference calculations for filter monitoring, clog identification, and fluid flow and level measurement. Pounds per Square Inch is the unit used to measure pressure differences (PSI).

The formula for the pressure differential is as follows:

AP = pgh

Here, p is the density of the water, g is the acceleration due to gravity, and h is the depth.

The change in pressure is directly proportional to the depth.

Hence, the depth in the three columns is equal because the pressure difference is the same in the three columns.

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The correct answer is 2: You can have more than two groups in ANOVA. One-way ANOVA (Analysis of Variance) and a t-test are both statistical tests used to analyze differences between groups.

However, the key difference between them is that a t-test is used when comparing means between two groups, whereas ANOVA is used when comparing means between more than two groups. ANOVA allows for the analysis of variance between multiple groups simultaneously, while the t-test is limited to comparing means between two groups only.

Option 1 is incorrect because ANOVA is not solely about the mean, but rather about comparing means across multiple groups. Option 3 is incorrect because while ANOVA does split variance into within-group and between-group components, this is not a defining difference between ANOVA and t-tests. Option 4 is incorrect because ANOVA and t-tests are not the same test; they have different underlying assumptions and calculations.

Therefore, the correct answer is option 2: You can have more than two groups in ANOVA.

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The correct answer is option b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.

From the given graph it is seen that sample 1 is not showing any growth or decline despite of the temperature change. One cannot ascertain its gene expression. On the other hand, Sample 2 shows a slight change from 4cm² to 7cm² bacteria count and Sample 3 shows a wide change as per temperature change from 8cm² to 12cm². Hence it can be said that samples 2 and 3 mutated to adjust to the temperature compared to sample 1 which showed no changes.

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Complete Question

the graph below shows the growth of three samples of the different bacteria on Petri dishes incubated over 24 hours as the temperature was increased 10 degrees every eight hours: (Graph in the figure attachment) which statement best explains the data trend observed in the bacteria samples?

a) All bacteria samples grow better at higher temperatures.

b) Bacteria in samples 2 and 3 mutated quickly to adjust to temperature change.

c) Temperature changes do not affect gene expression for growth in sample 1.

d) Bacteria in sample 1 will eventually die out at higher temperatures.

Answer:

g(3)=11

Step-by-step explanation:

g(3)=3(3)+2

3*3=9

9+2=11

Answer:

  9 plates

Step-by-step explanation:

The number of plates Kyle can make is the GCF of 9 and 18. Since 9 is a factor of 18, that GCF is 9.

Kyle can make 9 plates, each containing 1 avocado roll and 2 cucumber rolls.

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer: c) 3/27

Step-by-step explanation:

To make equivalent fractions, we multiply the numerator and denominator with the same number so that on cancelling we get the original fraction...

Therefore, 1/9=

1 x 3 / 9 x 3 = 3/27

Which can also be written as 3:27

So, the answer is c) 3/27

We know that the Chicago's population grew by 4.3% from 1990 to 2000.

To find the percent by which Chicago's population grew, we need to calculate the percent increase between 1990 and 2000.

First, we need to find the difference between the two populations:

2.90 million - 2.78 million = 0.12 million

Next, we need to divide the difference by the original population and multiply by 100 to get the percentage increase:

0.12 million / 2.78 million * 100 = 4.32%

Therefore, Chicago's population grew by 4.3% from 1990 to 2000.

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Answer: B. (4t - 3)(t - 6)

Step-by-step explanation:

(4t - 3)(t - 6)

= 4t^2 - 24t - 3t + 18

= 4t^2 - 27t + 18

Answer:

B

Step-by-step explanation:

Sum = -27

Product = 18*4 = 72

Factors = (-24) ; (-3)     {(-24)*(-3)=72 & (-24) + (-3) = -27}

4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)

                    = 4t(t -6) - 3(t - 6)

                    = (t - 6)(4t - 3)

Answer:

The regular price of the microwave is $122.

Step-by-step explanation:

To find the regular price of the microwave, we'll use the discount percentage and the amount saved.

The store has marked down the microwave by 45%. This means the sale price is 55% of the regular price.

If Donald can save $55 on the sale, we know that $55 is equal to 45% of the regular price.

By setting up the equation:

45% of the regular price = $55

We can calculate the regular price:

Regular price = $55 / 0.45

Calculating this, we find:

Regular price ≈ $122.22

Therefore, the regular price of the microwave is approximately $122.

Donald Houston can save $55 on a new microwave if he buys it on sale. The store has marked down the microwave 45%, then its regular price is $122.22.

To determine the regular price of the microwave, we can set up an equation using the information given to us on the question.

Let's denote the regular price of the microwave as x,

Given: Discount percentage= 45%,

Amount saved= $55,

Therefore, this gives us the equation:

(Regular price) - (Discount price) = (Regular price) - (Amount saved)

x - (45%)x = x - $55 .............(i)

which further gives us the equation,

0.45x = $55............(ii)

⇒ x = $55/0.45,

Therefore,

x = $122.22 approx.

Thus, Donald Houston can save $55 on a new microwave if he buys it on sale. The store has marked down the microwave 45%, then its regular price is $122.22.

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By using a sampling technique  we ensure that we choose a sample of students that is representative of all 8:00 am classes.

There are  varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.

Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.

explanation;

we conclude the

Since the students' lecture hallsare on different building the samples are

Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.

The number of students in each building is:

There are 100 students in each building

Then select at random an equal proportion of student from each building let 20 students in each building.

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The shortest distance ladder that will reach from the ground, over the fence (4 ft tall) to the wall of the building (2 ft away) is 8.04 ft long.

The first step is to calculate the total height that needs to be reached by the ladder. The height of the fence (4 ft) is added to the distance between the fence and the wall of the building (2 ft). This gives a total height of 6 ft.Next, the length of the ladder is calculated using the Pythagorean theorem, which states that a2 + b2 = c2. The equation is rearranged to solve for c, the length of the ladder. In this case, a is equal to the height (6 ft) and b is equal to half the height (3 ft). This gives a result of c = 8.24 ft. This result is rounded to the nearest hundredth, giving a final result of 8.04 ft.

a2 + b2 = c2

62 + 32 = c2

36 + 9 = c2

45 = c2

√45 = c

c = 6.708 ft (rounded to 8.04 ft)

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The probability that at least half of the voters contacted supported the current governor is approximately 0.3322 or 33.22%.

The proportion of voters who voted for the current governor in the election can be determined using the formula

\(P=\frac{x}{n}\)

p is the proportion,

x is the number of voters who supported the current governor

n is the number of voters in the sample.

In this case, the sample size is 342, and we don't know the number of voters who supported the current governor.

Therefore, we can estimate the proportion using the sample proportion.

The sample proportion is obtained by dividing the number of voters who supported the current governor by the sample size.

Let us assume that half of the voters contacted supported the current governor.

Since we know that the sample size is 342, the number of voters who supported the current governor is 171, which is half of 342.

Therefore, the sample proportion is  \(p=\frac{171}{342}=0.5\)

In order to calculate the probability that at least half of the voters contacted supported the current governor, we need to use the normal distribution.

The normal distribution is a continuous probability distribution that is widely used to model real-world phenomena.

The normal distribution is characterized by two parameters: the mean and the standard deviation.

In this case, the mean of the normal distribution is given by the sample proportion, which is p = 0.5.

The standard deviation of the normal distribution can be calculated using the formula:

\(σ=sqrt\frac{p(1-p)}{n}\)

σ is the standard deviation,

p is the proportion, and

n is the sample size.

Using the values we have, we can calculate the standard deviation:

\(σ=sqrt\frac{0.5(1-0.5)}{342} =0.0253\)

We want to find the probability that at least half of the voters contacted supported the current governor, which means we want to find the probability that the sample proportion is greater than or equal to 0.5.

Using the normal distribution, we can standardize the sample proportion and find the probability that it is greater than or equal to 0.5.

The standardized score is given by the formula

\(z= \frac{(p-μ)}{σ}\)

z is the standardized score,

p is the proportion,

μ is the mean,

σ is the standard deviation.

Using the values we have, we can standardize the sample proportion:

\(z=\frac{0.5 - 0.5}{0.0253} =0\)

The probability of a standardized score being 0 is 0.5.

Therefore, the probability that the sample proportion is greater than or equal to 0.5 is 0.5 + (1 - 0.5) x 0.5 = 0.75.

However, this probability is for a normal distribution with a mean of 0.5 and a standard deviation of 0.0253.

We want the probability for a sample of 342 voters, so we need to adjust our answer using the continuity correction factor.

The continuity correction factor is used when we are approximating a discrete distribution with a continuous distribution.

In this case, the sample proportion is a discrete distribution because it can only take on certain values (such as 0.5, 0.51, 0.52, etc.).

However, we are using a continuous distribution (the normal distribution) to approximate the sample proportion.

Therefore, we need to adjust our answer using the continuity correction factor.

The continuity correction factor is given by the formula 0.5 - 0.5/n, where n is the sample size.

Using the continuity correction factor, we can adjust our answer:

\(0.75-\frac{0.5-0.5}{342} =0.3322\)

Therefore, the probability that at least half of the voters contacted supported the current governor in the last election when a telephone survey contacts 342 voters from the last election and asks if they voted for the current governor is approximately 0.3322 or 33.22%.

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Glen drank a fraction of 2 bottles and one-half bottles of water.

A fraction is a numerical value that is not a whole number. Fraction is used to represent a part of whole or in some cases the number of equal parts of a whole.

To answer this question, we must understand that in carrying out basic mathematics operation with mixed fraction, we must first convert it to an improper fraction.

In the morning, Glen drank [1(8÷12)] bottles of water, which when converted to an improper fraction gives us (5÷3) bottles

While in the afternoon, he drank (5÷6) bottles

Adding up the fractions [(5/3)+(5/6)] bottles of water drank in the morning and afternoon respectively, we have;

[(5/3)+(5/6)]= [(10+5)÷6]

[(5/3)+(5/6)]=15÷6

[(5/3)+(5/6)]=5÷2

[(5/3)+(5/6)]=[2(1÷2)] (reversing the improper fracion to a mixed fraction).

Hence,we can say that Glen drank 2 bottles and a fraction of one-half bottles of water.

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Answer: The hundred-thousandth place

Answer:

Although im also doing this assignment im pretty sure it means that you can get multiple solutions depending on how you solve it for example 4x4+6 you are able to get 2 answers from this.

Step-by-step explanation:

Answer:

U = 84

1. 20+8 = 28

2. 28x3 = 84

u = 84

Answer:

$330

Step-by-step explanation:

working hours a day = 5 hours 30 minute

total working hours = 5 days × 5.5 hours

= 27 hours 30 minute

pay per hour = $12

total gross pay a week = 27.5 × $12

= $330

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

A Markov chain model, also known as a Markov process or simply a Markov model, is a mathematical framework used to describe and analyze systems that evolve over time.

To create a Markov chain model for a rat wandering through the maze, we need to consider the different states the rat can be in and the probabilities of transitioning between these states.

In this maze, the rat can be in different rooms. Let's say there are three rooms: A, B, and the center room (C). The center room is an absorbing state, which means that once the rat enters this room, it will stay there and not move to any other room.

To create the Markov chain, we need to define the transition probabilities between the different rooms. Since the rat is equally likely to leave its current room through any of the doorways, the transition probabilities for each room will be 1/3.

Here is an example of the transition probabilities:

1. From room A:
  - Probability of transitioning to room B: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room A: 1/3

2. From room B:
  - Probability of transitioning to room A: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room B: 1/3

3. From the center room C:
  - Probability of staying in room C: 1

Once the transition probabilities are defined, we can represent the Markov chain using a transition matrix. In this case, the transition matrix will be a 3x3 matrix, where each row represents the current room and each column represents the next possible room. The values in the matrix will correspond to the transition probabilities.

Transition matrix:
```
| 1/3   1/3   1/3 |
| 1/3   1/3   1/3 |
|   0     0     1   |
```

Note that the last row of the matrix represents the absorbing state (center room C), where the probability of transitioning to any other room is 0, and the probability of staying in the center room is 1.

By using this Markov chain model, we can analyze the rat's behavior and calculate probabilities of different events, such as the number of periods it takes for the rat to reach the center room or the probability of the rat being in a specific room after a certain number of periods.

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The function f(x) that satisfies \(f ''(x) = 4/5(x^{(4/5)})\) is: f(x) =\((2/45) x^{(14/5)} + C_1 \times x + C_2\)

Integration is a fundamental concept in calculus, which involves finding the antiderivative or the integral of a given function. The antiderivative of a function is the function whose derivative is the original function. Integration is often used to solve problems in physics, engineering, economics, and many other fields.

To find f, we need to integrate the given function twice.

First, we integrate\(f ''(x) = 4/5(x^{(4/5)})\)with respect to x to find f '(x):

f '(x) = ∫ \((4/5)(x^{(4/5)}) dx = (4/5)\times (5/9)\times x^{(9/5)} + C_1 = (4/9) x^{(9/5)} + C_1\)

where \(C_1\)is a constant of integration.

Next, we integrate f '(x) to find f(x):

f(x) = ∫\([(4/9) x^{(9/5)} + C_1] dx = (4/9)\times (5/14) \times x^{(14/5)} + C_1 \times x + C_2\)

=\((2/45) x^{(14/5)} + C_1 \times x + C_2\)

where \(C_2\) is another constant of integration

Therefore, the function f(x) that satisfies \(f ''(x) = 4/5(x^{(4/5)) }\)is:

\(f(x) = (2/45) x^{(14/5) }+ C_1 \times x + C_2.\)

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Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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