9. Name the four basic logic gates.

Answer:

maybe the answer is x-y =-5

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

In regression, the variable s represents the average distance that the observed values fall from the regression line

In this case, we have:

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

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The correct statements regarding the sum of \(1 + \sqrt{25}\) are given by:

Rational numbers are numbers that can be represented by fractions, such as integers and terminating or repeating decimals.

In this problem, we have the sum of two terms, one and the square root of 25, both of which are rational, as:

Hence the correct options are:

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Answer:

15x^6y^15

Other:

Brainliest? Thanks!

Area of a circle = πr^2

Area of a sector with angle x° = (x/360) πr^2

for the smaller sector,

x = 80°

r = 8 m

Required area of sector = (80/360) × π × 8^2 = 44.68 m^2

To the nearest tenth, Area = 44.68 m^2

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

see explanation

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the nth term formula

to find the 10th term , substitute n = 10 into the nth term formula

(1)

n = 1 : 3(1) + 4 = 3 + 4 = 7

n = 2 : 3(2) + 4 = 6 + 4 = 10

n = 3 : 3(3) + 4 = 9 + 4 = 13

n = 4 : 3(4) + 4 = 12 + 4 = 16

n = 10 : 3(10) + 4 = 30 + 4 = 34

the first 4 terms are 7, 10, 13, 16 , 10th term = 34

-------------------------------------------------------------------

(2)

n = 1 : 4(1) - 5 = 4 - 5 = - 1

n = 2 : 4(2) - 5 = 8 - 5 = 3

n = 3 : 4(3) - 5 = 12 - 5 = 7

n = 4 : 4(4) - 5 = 16 - 5 = 11

n = 10 : 4(10) - 5 = 40 - 5 = 35

the first 4 terms are - 1, 3, 7, 11 , 10th term = 35

The correct answer is: Both (i) and (ii). The confidence interval approach has several advantages over the test statistic approach when doing hypothesis tests. The confidence interval approach offers the advantage of allowing you to assess practical significance.

This means that the confidence interval gives a range of values within which the true population parameter is likely to lie. This range can be interpreted in terms of the practical significance of the effect being studied. For example, if the confidence interval for a difference in means includes zero, this suggests that the effect may not be practically significant. In contrast, if the confidence interval does not include zero, this suggests that the effect may be practically significant. Therefore, the confidence interval approach can provide more meaningful information about the practical significance of the effect being studied than the test statistic approach.

The confidence interval approach offers the advantage of giving a lower Type I error rate than a test statistic approach. The Type I error rate is the probability of rejecting a true null hypothesis. When using the test statistic approach, this probability is set at the significance level, which is typically 0.05. However, when using the confidence interval approach, the probability of making a Type I error depends on the width of the confidence interval. The wider the interval, the lower the probability of making a Type I error. Therefore, the confidence interval approach can offer a lower Type I error rate than the test statistic approach, which can be particularly useful in situations where making a Type I error would have serious consequences.

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The value of x in the triangle UVW is 45°.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The measures of the angle of the triangle UVW are 24°, 30° and (3x - 9)°.

The sum of all the angles of the triangle is 180°.

24° + 30° + (3x - 9)° = 180°.

3x - 9 = 180 - 54

3x = 135

x = 45.

Therefore, the value of x is 45°.

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Michael was swimming abοut 0.08 meters per secοnd faster in the 50-meter freestyle than in the 100-meter freestyle.

Time is the duratiοn between twο events. Speed is the measure οf hοw fast sοmething mοves οver a given distance. Distance is the amοunt οf space between twο pοints οr οbjects.

Tο find οut hοw much faster Michael swam the 50-meter freestyle than the 100-meter freestyle, we need tο calculate the difference between their speeds.

Let's first find οut Michael's speed in meters per secοnd fοr each race.

Fοr the 50-meter freestyle:

speed = distance / time = 50 meters / 23.04 secοnds ≈ 2.17 meters/secοnd

Fοr the 100-meter freestyle:

speed = distance / time = 100 meters / 47.77 secοnds ≈ 2.09 meters/secοnd

Nοw, tο find the difference in speed, we can subtract the speed οf the 100-meter freestyle frοm the speed οf the 50-meter freestyle:

2.17 meters/secοnd - 2.09 meters/secοnd ≈ 0.08 meters/secοnd

Therefοre, Michael was swimming abοut 0.08 meters per secοnd faster in the 50-meter freestyle than in the 100-meter freestyle.

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If you randomly select an iphone, The probability that the battery will last more than 10 hours is 0.5000.

Population mean, µ = 10

Population standard deviation, σ = 2

The likelihood that the battery will survive more than 10 hours is equal to

\(= P( X > 10)\\= P( (X-\mu)/\sigma > (10 - 10)/2)\\= P( z > 0)\\= 1- P( z < 0)\\\)

Using excel function:

= 1- NORM.S.DIST(0, TRUE)

= 0.5000

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that describes a large class of phenomena observed in nature, social sciences, and engineering. It is often called the bell curve because of its characteristic shape, which is symmetric and bell-shaped.

The mean and the standard deviation are the two factors that define the normal distribution. The mean is the center of the distribution, and the standard deviation measures how much the data varies from the mean. The normal distribution has several important properties, including that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

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To find the top 10% salaries of workers at the company, we need to use the standard normal distribution table. First, we need to find the z-score that corresponds to the top 10% of the distribution, which is 1.28 (found using the table).

Next, we can use the formula:

z = (x - mean) / (standard deviation / sqrt(sample size))

We know the mean is $60,000, the standard deviation is $9,000, and the sample size is 36. We can solve for x:

1.28 = (x - 60,000) / (9,000 / sqrt(36))

1.28 = (x - 60,000) / 1,500

1.28 * 1,500 = x - 60,000

1,920 + 60,000 = x

x = $61,920

Therefore, the top 10% salaries of workers at the company is $61,920 or more.
To find the top 10% salary for workers at this company, we need to first determine the z-score that corresponds to the 90th percentile. This is because 100% - 10% = 90%.

Step 1: Look up the z-score for the 90th percentile in a standard normal distribution table. You will find a z-score of approximately 1.28.

Step 2: Use the z-score formula to find the salary corresponding to this z-score:
X = μ + Z * σ / √n
where X is the salary, μ is the mean, Z is the z-score, σ is the standard deviation, and n is the sample size.

Step 3: Plug in the given values:
X = $60,000 + 1.28 * $9,000 / √36

Step 4: Simplify the equation:
X = $60,000 + 1.28 * $9,000 / 6

Step 5: Calculate the result:
X = $60,000 + $1,920 = $61,920

The top 10% of salaries for workers at this company is $61,920 or more, rounded to the nearest dollar.

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The amount you will pay back by the end of the term is; 162.18 dollar.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + r)^{t}\)

Given that you borrow $101 at 7% compounded annually for seven years, then we have;

P = 101 dollar

Rate = 7%

Times = 7 yr

Therefore,

\(a = p(1 + r)^{t}\)

\(a = 101(1 + 0.07)^{7}\\\\a = 101 (1.07)^7\\\\a = $162.18\)

Hence, The amount you will pay back by the end of the term is; 162.18 dollar.

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Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm

Answer:

y = 3/4x -3

Step-by-step explanation:

3x - 4y = 12

Subtract 3x from each side

3x - 4y -3x =-3x+ 12

-4y = -3x+12

Divide by -4

-4y/-4 = -3x/-4 +12/-4

y = 3/4x -3

Answer

The value of y is 3/4x-3.

Explanation

Rearrange the equation to get y on one side of the equation.

3x-4y=12

-4y=12-3x

y=-3+3/4x

y=3/4x-3

Answer: Municipal Bank will charge him 8% simple interest

Step-by-step explanation:

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

Answer:

PC = 3

Step-by-step explanation:

The secant- secant power theorem gives

PC × PD = PA × PB , that is

PC × 12 = 4 × (4 + 5)

12 PC = 4 × 9 = 36 ( divide both sides by 12 )

PC = 3

Answer:

Sure! A common fraction would be 7/10, because it is the simplest form that we can have of .7 in a fraction form.

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

1.25 hours  (1 and 1/4 hours)

Step-by-step explanation:

Kiran;s aunt bikes at an average rate of 8 miles/hr.  Assuming it is an average day, we can determine the time it will take her to bike 10 miles by dividng the miles by her average speed:

  (10 miles)/(8 miles/hr)

The miles cancel and the hr comes to the top:

 (10/8) hours or 1.25 hours  1 and 1/4 hours

Kiran's aunt takes 1.25 hours to cover the distance of 10 miles at the average speed of 8 miles per hour.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S = D/T,

where S=speed, D=distance, T= time.

Given that,

Distance that Kiran's aunt plans to bike = 10 miles.

The average speed of bike = 8 miles per hour.

To find the time taken by Kiran' aunt to cover 10 miles distance,

Use Formula

Time = Distance / speed

Time = 10 / 8

Time = 1.25

The time taken by Kiran's aunt to cover 10 miles distance is 1.25 hours.

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Answer:

Each candy bar cost 4 dollars.

Step-by-step explanation:

First,

31-3 = 28

Next,

28/7 = 4

Therefore, each candy bar cost 4 dollars.

Answer:

Step-by-step explanation:

x and 100° are on a straight line and are adjacent angles, sum = 180°, we subtract 100° from 180° and find x, 180° - 100° = 80°. Now knowing that the sum of the interior angles in a triangle is 180° we can find y by subtracting the known angles from 180°. 180 - 80 - 45 = 55° (Y value and your answer).

a) The percentage of students who scored above 75 is of 84%.

b) The percentage of students who scored below 75 is of 16%.

c) The number of students with scores between 68 and 96 is of: 2850.

d) The number of students with scores between 82 and 96 is of: 1425.

e) The z-score of a student who scored a 40 is of -6.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 82, \sigma = 7\)

The z-score for a grade of 75 is given as follows:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (75 - 82)/7

Z = -1

Z = -1 has a p-value of 0.16.

Hence, considering the percentile, we have that:

The proportion between 68 and 96 is the p-value of Z when X = 96 subtracted by the p-value of Z when X = 68, hence:

X = 96:

Z = (96 - 82)/7

Z = 2.

Z = 2 has a p-value of 0.975.

X = 68:

Z = (68 - 82)/7

Z = -2.

Z = -2 has a p-value of 0.025.

Then:

0.975 - 0.025 = 0.95.

Out of 3000 students:

0.95 x 3000 = 2850 students scored between 68 and 96.

Due to the symmetry of the normal distribution, we have that out of these 2850 students:

The z-score of a student who scored a 40 is calculated as follows:

Z = (40 - 82)/7

Z = -6.

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The parameter u in a paired t procedure represents the mean difference in the responses to the two groups within pairs of subjects in the entire population.

This means that u captures the average change or effect observed when comparing the two related groups.

To elaborate further:

The parameter u represents a specific measure of interest in a paired t procedure.  In a paired t procedure, the data consists of paired observations, where each observation is made on the same subject or item under different conditions.

The parameter u represents the mean difference between the paired observations for the entire population. It quantifies the average change or effect observed between the two groups being compared within the pairs of subjects. By estimating the value of u from a sample, we can make inferences about the population parameter and test hypotheses regarding the difference between the two groups.

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Answer:

x= 0.7227 in radians

x= 41.4096 in degrees

Step-by-step explanation:

cos(x) = 6/8

The quotient of 405/27 fraction using division is 15.

It should be noted that the information is simply to divide the numbers.

In this case, the numerator is 405 and the denominator is 27

Therefore, the quotient based on the information illustrated will be:

= 405 / 27

= 15

Therefore, the quotient is 15.

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Answer: (1.5,-3) and (4.5, -3)

Step-by-step explanation:

The dilation rule to dilate a point (x,y) by a scaler factor of  k is given by :0

\((x,y)\to (kx,ky)\)

Given: A Line Segment has the points (1,-2), and (3,-2).

Scale factor = 1.5

Then, the new points after dilation will be :

\((1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)\)

\((3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)\)

Hence, the  new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)