(64p - 32) divided by 8 , please help me with this answer..

Based on the 1.5 × IQR rule for outliers, there is no evidence to support the student's claim because there is only one outlier at 58 minutes.

The interquartile range is the difference between upper and lower quartiles. The semi-interquartile range is half the interquartile range. When the data set is small, it is simple to identify the values of quartiles.

Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

The following interquartile ranges was calculated by using Excel:

Q₃ = 31.5

Q₁ = 20.5

Now, the interquartile range (IQR) is given by:

IQR = Q₃ - Q₁

IQR = 31.5 - 20.5

IQR = 11

Based on the 1.5 × IQR rule for outliers, we have:

1.5 × IQR = 1.5 × 11 = 16.5

Therefore, our fences will be 16.5 points below Q₁ and 16.5 points above Q₃:

Lower fence = 20.5 - 16.5 = 4.5

Upper fence = 4.5 + 31.5 = 36.

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If to renew the policy the insurance company charges an extra 40% to her premium rate: b. Even with the extra charge for renewal, Eva’s plan is the least expensive.

Premium rate can be defined as the additional money a person pay  instalmentally for an insurance policy.

Based on the given scenario Eva plan is the least expensive plan due to the fact that despite the  insurance company  charge her  the   additional 40% to her premium rate before they can renew her insurance policy,  her plan will be the  least expensive plan which inturn means that she can often renew the plan because it will cost her less.

Therefore If to renew the policy the insurance company charges an extra 40% to her premium rate: b. Even with the extra charge for renewal, Eva’s plan is the least expensive.

The missing option are:

a.Eva would have been better off selecting the 20-year term policy.

b.Even with the extra charge for renewal, Eva’s plan is the least expensive.

c.Given that Eva plans to renew, she should have selected the whole life policy.

d.Eva ends up paying the same amount for each policy.

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Answer: B

Step-by-step explanation:

Answer:

$338

Step-by-step explanation:

Total sum of money→ 8 units

Natasha→ 5 units

Tricia→ 3 units

From this point on, I will use 'u' as an abbreviation for 'units'.

Since Tricia's share was $126.75,

3u= $126.75

Find the value represented by 1 unit:

1u= $126.75 ÷3

1u= $42.25

Find the total sum of money shared, which is 8 units:

8u= $42.25 ×8

8u= $338

Thus, the total sum of money shared is $338.

\(2x+40=60\\2x=20\\x=10\)

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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Ginny used 2.6 pints of blue paint to paint her bedroom walls.

Let's represent the total amount of white and blue paint used by Ginny as "x" pints.

We are given that 2/5 of this amount is white paint, which means that 3/5 of the amount is blue paint. We can construct the equation shown below:

2/5 × x = 7.8 pints (amount of white paint used)

3/5 × x = ? (amount of blue paint used)

To find the amount of blue paint used, we can solve for 3/5 × x:

3/5 × x = (5/3) × 2/5 × x (multiplying both sides by 5/3 to simplify)

3/5 × x = 2.6 pints (multiplying 7.8 by 5/3 gives 13/3 or 4.33 pints, then subtracting that from the total x, we get 2.6 pints for the blue paint)

Therefore, Ginny used 2.6 pints of blue paint to paint her bedroom walls.

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You need to be more specific

Answer:

in what sentence all i see is the letters no image above

Answer: {-2, -0.5, -1.5, 0}

Step-by-step explanation:

The key things we need to recognize is that we are extracting the numbers covered by the red line. This line does not include all values from -2 to 4, though. The white dot means that part of the inequality is x < 4.

Therefore, the answer is every number that fits in the equality:

\(-2 \leq x < 4\)

This includes -2 and every number up to 4, but NOT 4.

I hope this helps, if you need anything explained let me know.

none of the above, 2 is non-composite

When Samantha was streaming "The Haunted Cave" the cellphone went from a level of battery charge of 76% to 16%. We need to calculate the rate at which the battery of the phone is drained while streaming this show. She watched three episodes of the show, each with 30 minutes. So the first step is to calculate the time she spent streaming it. Since she watched 3 episodes of 30 minutes each, the total time is the product between the number of episodes and the elapsed time.

Then we need to calculate how much of the battery was spent on that time. This is the difference between the charge when she started and the charge when she finished.

Now we can calculate the rate at which her battery is drained while watching that show, this is done by dividing the total battery spent by the elapsed time.

This rate means that for every minute watching this show she spends 2/3 of a % of battery.

She then charged the battery to 63% and went on a 24 minute bus ride while listening to Top Pop, this resulted on her battery dropping all the way to 59%. We need to do the same as above to find how much batter per minute this playlist consumes. We have:

The playlist spent 4% in 24 minutes, so the rate is:

While listening to Top Pop the cellphone discharges at a rate of 1/6 of a % per minute.

When she was on the bus home with her friend her battery was at a level of 29%, while his was at 55%. He then went to watch the haunted show, while she went to listen Play Top. If the rate is the same as we calculated above, then the level of battery of each person can be calculated by the starting level subtracted by the rate at which each app consumes the battery multiplied by the time they are using the app. So for each person we have:

To find the time it will take before the level of battery is the same on each device we need to make both equations equal and solve for t.

For both phones to achieve the same level of battery they'll need to use it for 78 minutes.

We have the following information from the question:

• We have a science fair poster that is a rectangle, 3 feet in length, and 2 feet in width.

And we need to find the area of that rectangular poster in square inches.

To find the area in square inches, we can proceed as follows:

1. We can convert the given length and width to inches:

Then we have:

And also:

2. Now, since the area of a rectangle can be found as the length times the width, then we have:

Therefore, in summary, the area of the science fair poster is, in square inches, equal to 864 square inches.

z-score of a company is 5.

What is z- test?

A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

Now, using z- score

z= (x-\(\mu\))/\(\sigma\)

z= 54000- 34000/ 4000

z= 20000/4000

z=5.

Hence, z-score of a company is 5.

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Answer:

5

Step-by-step explanation:

The answer above is correct.

Solution

Since we want to to arrange, we have to use permutation

Therefore, the answer is

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

a) He substituted 0.8 instead of 0.08.

b) $264

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

Based on the given confidence interval, the null hypotheses (c) and (d) can be rejected at the 5% significance level.

To determine which null hypothesis can be rejected at the 5% significance level, we need to compare it with the confidence interval.

The 99% confidence interval (9, 15) means that we are 99% confident that the true population mean falls between 9 and 15.

At the 5% significance level, we reject a null hypothesis when the hypothesized value falls outside the confidence interval.

Let's analyze each option:

(a) The population mean is less than or equal to 15.

Since the upper bound of the confidence interval is 15, this null hypothesis cannot be rejected.

(b) The population mean is greater than or equal to 9.

Since the lower bound of the confidence interval is 9, this null hypothesis cannot be rejected.

(c) The population mean is greater than or equal to 15.

Since the lower bound of the confidence interval is 9, which is less than 15, this null hypothesis can be rejected.

(d) The population mean is 12.

Since the null hypothesis specifies a specific value (12), and the confidence interval (9, 15) does not include 12, this null hypothesis can be rejected.

Based on the given confidence interval, the null hypotheses (c) and (d) can be rejected at the 5% significance level.

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An equation of the parabola that models the cross section of the mirror is, y = \(\frac{x^{2} }{36}\)

Given that,

A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

The pipe is located 9 inches from the vertex of the mirror.

The parabola is open upwards . the vertex of the parabola is (0,0)

and pipe is located 9 inches from the vertex (0,0)

9 inches is the focus of the mirror

The distance between the vertex and the focus = 9

Since parabola is upwards and vertex is (0,0) we use formula,

\(4py = x^{2}\)  

Where,

p is the distance between the vertex and focus p = 9

Now,

\(4*9*y = x^{2}\)    

\(36y =x^{2}\)

Now isolate y by dividing 36 on both sides, we get

y = \(\frac{x^{2} }{36}\)

Therefore,

An equation of the parabola that models the cross section of the mirror is, y = \(\frac{x^{2} }{36}\)

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Answer:

b = 43

Step-by-step explanation:

So let's plug things in first:

y= 2x - 20 and y= -5x +b which can become →

2x - 20 = -5x + b (now you said that x=9 so let's plug that in)

2(9) -20 = -5(9) + b (now try solving that)

18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)

43 = b ( and there's your answer )

Answer:

q - 8

Step-by-step explanation:

q - 8

Answer:

q=0

Step-by-step explanation:

Answer:

The correct angle is 45.3°

Step-by-step explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to \(\frac{32}{45}\). To find the value of x, take the arcsin of both sides and you'll get that \(x = arcsin(\frac{32}{45})\) ⇒ \(x\) ≈ 45.3°.

\(log_{(150):\) By default, a log without a base is assumed to be base 10. This evaluates to the power to which 10 must be raised to get 150. \(log10_{(150)\) ≈ 2.1761.

\(log5(625)\): This evaluates to the power to which 5 must be raised to get 625. Since \(5^4\)= 625, log5(625) = 4.

\(ln_{(-e):\) The natural logarithm is only defined for positive arguments. Thus, ln(-e) is undefined.

\(logg(85):\) The base of the logarithm is missing, making this expression invalid. Please provide the base.

\(ln(e^3)\)): This evaluates to the power to which the base e must be raised to get \(e^3.\)

Based on the fact that \(e^3 = e^3, ln(e^3) = 3.\)

\(log3_{(-10)\): Logarithms are only defined for positive arguments. Thus, \(log3_{(-10)\) is undefined.

\(log_{(150)\): By default, a log without a base is assumed to be base 10. This evaluates to the power to which 10 must be raised to get 150.

\(log10_{(150)\) ≈ 2.1761.

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Answer:

I hope you pass it (:

Step-by-step explanation:

There are many students in science class. Irene always likes to study and do homework. In all the exams he gets a hundred. Pablo never studies and doesn't like to take notes. On the exams he gets forty, fifty and thirty. Many times Sandra likes to do her homework. In the exams he gets ninety, forty and one hundred. Eduardo sometimes likes to study and do homework. In the exams he gets ninety and ninety. Javier never likes to read books. In the exams he gets forty, fifty and forty. All students are different and I like to teach science to everyone.

Answer:

Option (1)

Step-by-step explanation:

As we know, sum of an infinite geometric series,

\(S=\frac{a}{1-r}\)

Here a = first term of the series

and r = common ratio.

If |r| < 1  Series converges

If |r| ≥ 1  Series diverges

For Option (1),

S = 262 + 301.3 + 346.5.........

Common ratio = \(\frac{301.3}{4.2}\) = 1.15

Since |r| = 1.15 > 1

Series will diverge

Option (2),

S = 4.2 + 3.57 + 3.0345..........

Common ratio = \(\frac{3.57}{4.2}\) = 0.85

Since |r| < 1

Series will converge.

Option (3),

S = 6651 + 729 + 81........

Common ratio = \(\frac{729}{6651}\) = 0.11

Since |r| < 1

Series will converge.

Option (4),

S = 100, 50, 25...........

Common ratio = \(\frac{50}{100}=\frac{1}{2}\)

Since |r| < 1

Series will converge.

Option (1) will be the answer.

If you arrive at the railway station at 3 o'clock in the afternoon, you can expect to wait an average of 20 minutes for a limousine to leave for the airport, with a standard deviation of 20 minutes.

To find the expected value and standard deviation of your waiting time at the railway station until a limousine leaves for the airport, we need to use the exponential distribution formula.
First, we know that the expected value of the interdeparture times is 20 minutes. This means that on average, a limousine will depart from the railway station every 20 minutes.
Next, we need to find the probability that a limousine will depart within a certain amount of time after you arrive at the railway station. To do this, we can use the cumulative distribution function (CDF) of the exponential distribution.
The CDF of the exponential distribution is given by:
F(x) = 1 - e^(-λx)
where λ is the rate parameter, which is equal to 1/20 (since the expected value is 20 minutes).
So if you arrive at the railway station at 3 o'clock in the afternoon, your waiting time T until a limousine leaves for the airport is given by:
T = X - 3:00
where X is the time at which the limousine departs from the railway station.
To find the expected value of T, we can use the formula for the mean of the exponential distribution:
E(T) = 1/λ = 20 minutes
So on average, you can expect to wait 20 minutes until a limousine leaves for the airport.
To find the standard deviation of T, we can use the formula for the standard deviation of the exponential distribution:
SD(T) = 1/λ = 20 minutes
So the standard deviation of your waiting time is also 20 minutes.

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A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16, RT= 32  and UV ≈ 8.2.

A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16.

Finding R T and U V is our goal.

First, let's assume that the figure RSTU is a rhombus since its perimeter and one-half of a diagonal's length are both provided. RT is the result of adding the segments RV and VT.

RT=RV + VT

We are informed that the RV is sixteen. If RV and VT are congruent, then V T equals 16. So:

R T = 16 + 16 = 32

In order to determine the UV length, we must first determine the RU length. Since a rhombus's sides are the same length, we can divide its perimeter by four to determine

RU= Perimeter/ 4

If we simplify and replace Perimeter with 72, we get:

RU = 72 / 4

RU =18

Since UB is a member of the right triangle RUV created by the intersection of the diagonals, we can now use the Pythagorean theorem to determine its length. So:

U V²+ R V² =  RU²

If R V = 16 and R U = 18, we obtain:

U V² + 16 ²= 18²

By way of summary, we have:

U V² + 256 = 324

U V² + 256 − 256 = 324 − 256

√ UV = √ 68

UV = 8.2462

UV ≈ 8.2

Our recommendations are as follows:

RT= 32

UV ≈ 8.2.

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To model the situation where each of the 24 students in Mr. Shaw's homeroom sold 10 tickets to a sports event, we can use the equation:

x = 24 * 10

Here, x represents the total number of tickets sold in the homeroom. The number of tickets sold by each student is multiplied by the number of students in the homeroom (24) to calculate the total number of tickets sold.

Simplifying the equation:

x = 240

Therefore, the equation that models this situation is x = 240, where x represents the total number of tickets sold in the homeroom.

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For this study, what is the response variable is b. Whether or not a student graduates from college.

The outcome of an experiment in which the explanatory variable is altered is the response variable. It is a variable whose variation can be accounted for by other variables. It is also known as the outcome variable or the dependent variable. As an illustration, the students wish to utilise height to predict age; hence, height is the explanatory variable and age is the response variable.

Whether a student in the example graduates from college. The university official is interested in examining this variable to see whether it has any associations with the predictor variable, which is whether students declare their majors before their junior year. A is the predictor variable. if a student chooses a major prior to entering their junior year.

Complete Question:

A university official wants to determine if a relationship exists between whether students choose their majors before their junior year and whether they graduate from college. For this study, what is the response variable?

a. Whether a student decides on his/her major before their junior year

b. Whether or not a student graduates from college.

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