-3x² - 4x +8>4

solve inequality and state solution in interval and inequality notation 100 points

Answer:

-2,-2 : +4

2,-8 : -6

Step-by-step explanation:

+4 is the nearest.

please check my question and answer it, it's so essential for me or if it's possible guide me

Answer:

y = 28 - x

Step-by-step explanation:

The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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Answer:

(a) 95% confidence limits

Upper limit = 4.4229 cm

Lower limit = 4.3371 cm

Confidence interval: (4.3371, 4.4229) (cm)

(b) 99% confidence limits

Upper limit = 4.4417 cm

Lower limit = 4.3183 cm

Confidence Interval: (4.3183, 4.4417) (cm)

Step-by-step explanation:

Sample size = n = 10

X = 4.38 cm

s = 0.06 cm

Since sample size is 10, we use the t-table to find the limits.

For the 2-tailed 95% case, we get an alpha of 0.025

α = 0.025

Number of degrees of freedom = sample size - 1 = 10 - 1

Number of degrees of freedom = 9

Using the degrees of freedom and α value, we find the t-score,

we get (from a t-table),

We get t-score = t = 2.262

Now, to get the error, we have the formula,

\(error = t*s/\sqrt{n}\)

Putting values, we get,

\(error = 2.262*0.06/\sqrt{10}\\ error = 0.0429\)

Adding and subtracting from the mean to get the interval limits,

Upper limit = 4.38 + 0.0429 = 4.4229

Upper limit = 4.4229 cm

Lower limit = 4.38 - 0.0429 = 4.3371

Lower limit = 4.3371 cm

b) 99% confidence limits

For 99% we get an alpha value of,

α = (1-0.99)/2

α = 0.005

For which we get a t- value of,

t-score = 3.250

(all specific values are written on last part e.g degrees of freedom and so on)

Finding error,

\(error = 3.250*0.06/\sqrt{10}\\ error = 0.0617\)

Finding the upper and lower limits,

Upper limit = 4.38 + 0.0617 = 4.4417

Upper limit = 4.4417 cm

Lower limit = 4.38 - 0.0617 = 4.3183

Lower limit = 4.3183 cm

The confindence interval is (4.3183,4.4417)

Answer:

D.

Step-by-step explanation:

I don't know for a fact but I'm pretty sure its D. sorry if its wrong.

Hope this helped.

Answer:

81

Step-by-step explanation:

uh indeed d ejd2njdenje

Answer:

-81

Step-by-step explanation:

I searched it up, should be right

Answer:

120 pizzas

Step-by-step explanation:

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

In a 12-hour period of digital clock, there are 2 instances.

The 12-hour clock runs from 1am to noon and then from 1pm to midnight. The 24-hour clock runs from 00:00 (midnight) to 23:59.

In a 12-hour period on a digital clock, there are a few instances when each succeeding digit is one more than the preceding digit. Let's break it down hour by hour,

1. 01:23 (only in the 1st hour)
2. 12:34 (only in the 12th hour)

In a 12-hour period, there are only 2 instances when each succeeding digit is one more than the preceding digit on a digital clock.

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Using the concept of probability, the probability that the first experiment is successful is 70.97%

To calculate the probability that the first experiment is successful, we use the relation thus :

Inserting the values into the formula :

Therefore, the probability value is 70.97%

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Answer:

Here's how to classify them visually.

Step-by-step explanation:

If the rational function y = r(x) has the vertical asymptote x = 7, then as x → 7+ (approaches 7 from the right-hand side), either y → ∞ (approaches infinity).

The behavior of a function, f(x), around vertical asymptotes is essential to understand the graph of rational functions, especially when we need to sketch them by hand.

The vertical asymptote at x = a is the line where f(x) → ±∞ as x → a. The limit as x approaches a from the right is f(x) → +∞, and from the left, f(x) → -∞.

For example, if the rational function has a vertical asymptote at x = 7,

The limit as x approaches 7 from the right is y → ∞ (approaches infinity). That is, as x gets closer and closer to 7 from the right, the value of y gets larger and larger.

Thus, as x → 7+ , either y → ∞ (approaches infinity).

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Yes let's find

The fraction is

\(\\ \rm\Rrightarrow 13/2/3\)

\(\\ \rm\Rrightarrow 13(3)/2\)

\(\\ \rm\Rrightarrow 39/2\)

Answer:

39/2 of the class are boys that wear glasses

Step-by-step explanation:

\(\dfrac23 \textsf{ of the class are boys.}\)

\(\textsf{If 13 of them wear glasses, then} \dfrac{13}{\frac23}} \textsf{ wear glasses.}\)

\(13 \div \dfrac23 =13 \times \dfrac32=\dfrac{39}{2}\)

Answer:

Step-by-step explanation:

\(6 \div \frac{3}{4} \)

To divide by a fraction, multiply by the reciprocal of that fraction

\(6 \times \frac{4}{3} \)

Reduce the numbers with GCF 3

\(2 \times 4\)

Multiply the numbers

\(8\)

Hope this helps..

good luck on your assignment..

Answer:

B.

Step-by-step explanation:

It's just y = 2x because if you look the y is two times the x.

Answer:

128

Step-by-step explanation:

all angles of a triangle will always equal 180

so, we know 2 angles

180-40

140-1128

48

Step-by-step explanation:

it would be 48 if thats on for options because you multiple 12x40

The scale factor used to create the image is given as follows:

k = 1.5.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The vertices of the dilated triangle A'B'C' are obtained multiplying the vertices of the original triangle ABC by 1.5, hence the scale factor is given as follows:

k = 1.5.

For example, the vertices A and A' are given as follows:

(that is, we multiply the coordinates of A by 1.5 to obtain the coordinates of A').

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Answer:

y=3x+3

Step-by-step explanation:

i use point (-1,0) and (0,3) then 3-0/0-(-1)=3/1=3 so (0,3) 3 is the y intercept plug in so y=3x+3is the equation

Answer:

See below

Step-by-step explanation:

Find two convenient points to calculate the slope:

0,3   and   -1,0         slope =  m =  (3-0) / ( 0 - -1) = 3

  and the y axis intercept = 3   (from looking at graph)

line equation is   y = mx + b             ( where b is the y-axis intercept)

                     y = 3x + 3

The p-value is 0.0064

Given that a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Let us first understand the t-test(a2:a31, b2:b31, 2, 3) formula:

t-test stands for student's t-test.

a2:a31 is the first range or dataset.

b2:b31 is the second range or dataset.

2 represents the type of test (i.e., two-sample equal variance).

3 represents the type of t-test (i.e., two-tailed).

Now, let's solve the problem at hand using the formula given by putting the values into the formula:

P-value = 0.0064

The p-value calculated using the t.test(a2:a31, b2:b31, 2, 3) formula is 0.0064.

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The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

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33 in middle - and in between I

Answer:

101 is the correcct answer

Step-by-step explanation;

Answered 33 and it was wrong

Solution

- The sketch of the scenario is

- We can find the value of x using the sine rule. This is done below:

- After finding the value of x, we can apply SOHCAHTOA, as follows:

Final answer

The vertical height of the bridge is 103.9674m

The given statement "statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results" is true.

Since, descriptive statistics consists of organinsing and summarizing informtaion collected, while inferential statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results.

Inferential statitistics is concerned with making inferences about a population of measurements based on information conatined in a sample of those measurements.

Hence, the given statement "statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results" is true.

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Angela made $350 per week 25 years ago and Walker made $200 per week 25 years ago.

Let's assign variables to represent Angela and Walker's salaries 25 years ago. Let A be Angela's salary 25 years ago and W be Walker's salary 25 years ago.

Using the information given in the problem, we can set up two equations:

A + W = 550 (their total salary 25 years ago)
4A + 3W = 2000 (their total current salary)

To solve for A and W, we can use substitution or elimination. Let's use substitution.

From the first equation, we can rearrange to solve for A:

A = 550 - W

Substitute this into the second equation:

4(550 - W) + 3W = 2000

Distribute the 4:

2200 - 4W + 3W = 2000

Simplify:

W = 800

Now that we know Walker's salary 25 years ago was $800, we can plug that into the first equation to solve for Angela's salary:

A + 800 = 550

A = -250

Uh oh, a negative salary doesn't make sense in this context. We made a mistake somewhere.

Let's go back to our original equations and try elimination instead:

A + W = 550
4A + 3W = 2000

Multiplying the first equation by 4, we get:

4A + 4W = 2200

Subtracting the second equation from this, we get:

W = 200

Now we can plug this into either equation to solve for A:

A + 200 = 550

A = 350

So Angela made $350 per week 25 years ago and Walker made $200 per week 25 years ago.

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Answer:

shoot i dont understand spanish

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mode is the one that occurs the most.

Stem is first number repeated for leaf

so your list of numbers is

10,12,12,22,23,24,30

The one that occurs the most is 12.  So your mode is 12.

If there are multiple numbers that are "most" then there is no mode.

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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Answer:

answer is c

I took a quiz with the question and got 100%