Questions 18-30 pls help due tomorrow

The 8% of items with the shortest lifespan will last less than 2.08 years.

The question tells us that the lifespan of the items follows a normal distribution with a mean (μ) of 2.7 years and a standard deviation (σ) of 0.5 years. In other words, we can model the distribution of lifespans using the formula for a normal distribution:

f(x) = (1 / (σ × √(2π))) × exp(-((x - μ)² / (2σ²)))

where x is the lifespan we want to find, f(x) is the probability density function, and exp is the exponential function.

Now, we want to find the lifespan that corresponds to the 8th percentile, or the value at which 8% of the items have a shorter lifespan. To do this, we need to find the z-score that corresponds to the 8th percentile.

The z-score is a measure of how many standard deviations a value is away from the mean, and can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for. We can rearrange this formula to solve for x:

x = z × σ + μ

To find the z-score that corresponds to the 8th percentile, we can use a standard normal distribution table or a calculator that can look up z-scores for us. For example, we can use the "invNorm" function in Excel to find that the z-score for the 8th percentile is approximately -1.41.

Now, we can plug in the values we know into the formula we derived earlier to find the lifespan (x) that corresponds to this z-score:

x = -1.41 × 0.5 + 2.7 = 2.08 years.

Therefore, the 8% of items with the shortest lifespan will last less than 2.08 years.

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soln

given,

f(x) = 1

Now,

f(x) = 4x+11

or, -1 =4x +11

or,4x = 11+1

or, 4x = 12

or, x. =12/4

or x. = 3

Therefore, The value of x is 3.

Isotopes with long half-lives are not useful for dating fossils or rocks that span the last glacial-interglacial cycle (approximately between 12,000 and 125,000 years old) because their decay rates are too slow to provide accurate age determinations within that time range.

Isotopes with long half-lives, such as uranium-238 (with a half-life of about 4.5 billion years) and potassium-40 (with a half-life of about 1.3 billion years), are commonly used for dating much older geological events. These isotopes undergo radioactive decay at a slow rate, which makes them suitable for dating processes spanning millions or billions of years.

However, when it comes to dating fossils or rocks that fall within the last glacial-interglacial cycle (12,000 to 125,000 years old), the long half-lives of these isotopes pose a problem. The time scale of this cycle is relatively short compared to the decay rates of isotopes with long half-lives. As a result, the remaining isotopic ratios or concentrations after such a short time period may not provide precise age estimates, making them less reliable for dating within this specific range.

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Step-by-step explanation:

5t-3(7t+1) < 93

Remove the parentheses

5t-21t-3 < 93

-16t < 93+3

-16t < 96

Divide both sides by 16

-t<96/16

-t<6

t > -6

Answer: The inequality t < 6 is the correct answer.

Step-by-step explanation:

5t - 3 (7t + 1) < 93​ <--- This is the original equation.

5t + (7t + 1) - 3 < 93​ <---- Use commutative property.

16t - 3 < 93 <--- Simplify

16t - 3 + 3  < 93​ + 3 <---- Add 3 to both sides,

16t < 96 <--- Simplify and do addition.

\(\frac{16t}{16}\) < \(\frac{96}{16}\) <--- Divide both sides by 16.

t < 6 <--- is the answer to the inequality.

Hope this helps! :D

Answer:

a=−1/2

Step-by-step explanation:

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

1/3

Steps:

The line rose 10 values (up) and went 30 values higher (to the right), so you divide 10/30 and end up with 1/3

Step-by-step explanation:

Based on a sample of size 86, where 56 people have brown eyes, we can calculate a 95% confidence interval for the true proportion of people in the population who have brown eyes. The confidence interval estimate is between 0.553 and 0.755.

To calculate the confidence interval for the true proportion, we can use the formula: CI = p ± Z * sqrt((p * (1 - p)) / n). where p is the sample proportion (56/86), Z is the Z-score corresponding to the desired confidence level (for a 95% confidence level, Z ≈ 1.96), and n is the sample size (86). Plugging in the values, we can calculate the confidence interval: CI = (56/86) ± 1.96 * sqrt(((56/86) * (1 - (56/86))) / 86). Simplifying the equation, the confidence interval estimate for the true proportion of people with brown eyes is approximately 0.553 to 0.755.

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Answer:

144

Step-by-step explanation:

sense you have the line in the triangle you would add that to the 16 (length) and multiply that by the 6 (hight) and that would be the area (144)

The inequality that represents how many pies P the bakery will have to sell each month to earn more money from selling pies and pay salaries, rent, and pie costs is P > 1403.04.

Let us assume the number of pies sold by the bakery is P and the cost per pie is $3.50.

Then the total revenue generated by selling P pies would be equal to the product of the number of pies sold and their cost, i.e., P × 9.75. The bakery's expenses including salaries, rent, etc. amount to $8769 per month.

To make a profit, the bakery's revenue should be more than the sum of expenses. Therefore, we can write the inequality equation as follows: Total Revenue (TR) - Total Expenses (TE) > 0
P × 9.75 - P × 3.50 - 8769 > 0
6.25P - 8769 > 0
6.25P > 8769
P > 8769/6.25
P > 1403.04
Since P is the number of pies sold, we cannot sell fractional pies. Therefore, the bakery has to sell at least 1404 pies (the next higher whole number) to make a profit.

So, the inequality that represents how many pies P the bakery will have to sell each month to earn more money from selling pies and pay salaries, rent, and pie costs is P > 1403.04. Therefore, the bakery has to sell more than 1403 pies each month to make a profit. The answer is in the form of inequality, which is P > 1403.04.

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Answer:

A

Step-by-step explanation:

-16t^2 + 24t= 0

-2t^2+3t =0

3t= 2t^2

3= 2t

t=1,5

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

Answer:

0.149> 0.128

Step-by-step explanation:

Hope this helps!

Answer:

(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5

Answer:

31.04

Step-by-step explanation:

By using the sines law we conclude that the best approximation of the value of x is 2.9 units. Answer: 2.9 units.

What is sines law?

The Law of Sines is a trigonometric law that relates the sides of a triangle to the sine of its angles. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal to the same ratio for each of the other two sides and their opposite angles. In other words, it can be expressed as:

a/sin(A) = b/sin(B) = c/sin(C)

We can use the Law of Sines to find the length of YZ:

sin(75) / 2 = sin(50) / x

Multiplying both sides by x:

x * sin(75) / 2 = sin(50)

Dividing both sides by sin(75) / 2:

x = 2 * sin(50) / sin(75)

Using a calculator to evaluate sin(50) and sin(75), we get:

x ≈ 2.9 units

Therefore, the best approximation of the value of x is 2.9 units. Answer: 2.9 units.

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Using the Mean and median formulae ,

The difference between the mean and median score of the students' scores on this quiz is 3.

Mean : The mean is the number which we get by dividing the sum of a set of values by the number of values in the set.

Median: the median is the middle number in a set of values when those values are arranged in either ascending or descending order.

let us consider there are a total 100 students.

and X denotes the marks obtained by students.

We have given that,

10% of student scored 70 points i.e.,

P(X=70) = 10% of 100 = 10

35% of students scored 80 points i.e., number of students whose obtained 80 points

= 35% of 100 = 35

30% of students scored 90 points , number of students whose obtained 90 points

= 30% of 100 = 30

remained ( 25%) of students scored 100 points

= 100 - 10 - 35 - 30 = 25

total marks obtained by students

= 80+70+90+100

= 340

Mean of score of students'scores on the quiz

= (70×10+ 80×35 + 90×30 + 100×25)/100 = 87

when we arranged the in ascending students in order , the 50th and 51th student lies in middle and marks obtained by both (50th and 51th) is 90 points .

So, Median score of the students' scores on this quiz = 90

Now, we shall calculate the difference between mean and median of score of the students' scores on this quiz which is equal to( 90 -87)

= 3

Hence, difference between the mean and median score of the students' scores on this quiz = 3

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The length of each side of the square is (2x + 5)² units.

To determine the length of each side of the square, we need to factor the given area expression completely. The area of a square is equal to the square of the length of its side.

Given area expression: 4x² + 20x + 25

To factor this expression, we look for two binomials that multiply together to give the original expression. The first and last terms are perfect squares, which suggests that the expression may be factored as a perfect square binomial.

The perfect square binomial is given by: (a + b)^2 = a² + 2ab + b²

a²= (2x)²= 4x²

b² = (5)² = 25

2ab = 2(2x)(5) = 20x

the factored expression:

4x² + 20x + 25 = (2x + 5)²

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To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.

The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.

It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.

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The correct answer is c. hypothesized population proportion. In tests about a population proportion, p0 (pronounced as "p-naught") represents the hypothesized population proportion.

Which is the proportion of individuals in the population who possess a particular characteristic or exhibit a particular behavior. The hypothesized population proportion is typically derived from prior knowledge or information about the population or based on theoretical considerations.

It is used as a reference value to compare against the sample proportion (phat) to determine whether there is evidence of a statistically significant difference between the sample and population proportions.

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Answer:\(22.62^{\circ},1.2\ \text{miles}\)

Step-by-step explanation:

Given

Jeremy takes road and ride 3.6 miles to the east and then 1.5 miles to the north

If there is a path that goes through the woods directly from Jeremy's house to Khaleel's house with length x(say)

From the figure, we can write the angle between road and the path

\(\Rightarrow \tan \theta=\dfrac{1.5}{3.6}\\\\\Rightarrow \tan \theta=0.4167\\\Rightarrow \theta=22.62^{\circ}\)

(b)Length of the path is

\(\Rightarrow x=\sqrt{3.6^2+1.5^2}\\\Rightarrow x=\sqrt{15.21}\\\Rightarrow x=3.9\ miles\)

Distance covered by the road is \(3.6+1.5=5.1\ miles\)

Difference between the two lengths is

\(\Rightarrow 5.1-3.9=1.2\ \text{miles}\)

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

The answer is B. \(3\frac{1}{3} ft.\)

Step-by-step explanation:

It states that the figures in the pair are similar

When you multiply 5*8 it gives you 40 on the first angle

If the figures are similar then the other angle will equal 40.

So we need to find out which number that is multiplied by 12 that will give you 40.

If we multiply \(12*3\frac{1}{3}\), it should  give you 40.

Convert The mixed number into a improper fraction:

3 1/3=3*3+1/3

=10/3

Convert the element into a fraction:

12/1*10/3

Factor the number:

3*4/1=10/3

Cross - cancel the common factor: 3

4/1*10/1

Apply the fraction rule:

4*10/1*1

Multiply the numbers: 4*10=40

=40/1*1

Multiply the numbers: 1*1=1

=40/1

Apply the Fraction rule:

=40

Answer: I would love to help but I don’t see the work did you put a picture or something because I don’t see it anything there.

Step-by-step explanation:

The chances that radio transmissions from Earth or messages sent on distant space probes will ever be received by living beings are very low.

In radio transmission, a radio transmitter's antenna couples electromagnetic energy into the atmosphere or other open space. Electromagnetic radio waves are caught by a receiving antenna during radio reception and coupled into a receiver for detection.

Radio waves have a low frequency, which limits their ability to deliver large amounts of data at once.

There are extremely slim odds that radio signals from Earth or messages placed on far-off space probes will ever be received by living things, it is acceptable to the state. Remember that some scientists have held this belief about the existence of extraterrestrial life for years without any convincing evidence.

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Answer: use the radious

Step-by-step explanation:

Answer:

B) all real numbers.

Step-by-step explanation:

From Algebra we know that polynomials, including the quadratic function presented on statement, are continuous in every part of real number set, which means the existence of images for every element of domain. Hence, the domain of the quadratic function is all real numbers. (Answer: B)

Answer:

10-B, 9-C, 11-D, 12-A

Step-by-step explanation:

Statement 3:

Reason: Law of cosines

Statement 4:

Reason: Law of cosines

Proof

We have the following situation:

Because the law of cosines,

Therefore,