Determine the minimum sample size required when you want to be99 ​% confident that the sample mean is within one unit of the population mean and o=14.8 . Assume the population is normally distributed.
A confidence level 99%
requires a sample size of

Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

Answer:

D. \(\frac{1}{2}\)

Step-by-step explanation:

If you have a pie for example and you cut it in half you have two seperate big pieces. On the other hand if you you were to cut it for example 1/3 times that 1 piece out of the three would be smaller than your half.

-Hope this helps :)

The statements that will be true about parallelogram ABCD are: A, B, D, and E.

Properties of a Parallelogram -

Diagonals of a parallelogram bisect each other into congruent segments.

Opposite angles and sides of a parallelogram are always congruent.

Alternate interior angles are always congruent in measure.

Thus, the following would be true of parallelogram ABCD:

AP ≅ CP (congruent segment's of a bisected diagonal)

BC ≅ AD (congruent opposite sides)

∠CAD ≅ ∠ACB (congruent angles)

∠BPC ≅ ∠APD (congruent angles)

Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.

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Answer:

14600

Step-by-step explanation:

Move the point to left and round up to 3 significant figures

Answer:

Ayo its Jose is the only one who was trying to get me to do the thank you usa for the support of the joy luck club the story is about a mother that lost every thing in China and whent to America to start a new life but she make her daughter do something that she don't want to be ninja in and she is not sending her

The Canal's price/earnings ratio is 2.92.

To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.

The weighted average number of common shares outstanding can be calculated as follows:

Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares

Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000

EPS = Net income / Weighted average number of common shares outstanding

EPS = $260,000 / 20,000 = $13

Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:

Price/earnings ratio = Market price per share / EPS

Price/earnings ratio = $38 / $13 = 2.92

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Answer: 2y+y would be 3y

Step-by-step explanation:hope it helps :)

Answer:

\(2^{6}\)

Step-by-step explanation:

\(2^3 \div 2^{-3}\)

\(2^{3-(-3)}\)

\(2^{3+3}\)

\(2^{6}\)

Omar ran farther than Paula by 950 meters. The total distance covered by Omar and Paula is 745000 centimeters.

The conversion of a unit from one dimension to another takes a standard approach. Here, we will be looking at conversion from kilometers and meters and meters to centimeters.

Given that:

Thus, It implies that Omar ran farther than Paula by 950 meters.

The total number of distance covered = (3250+ 4200) meters

= 7450 meters

= 745000 centimeters.

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The weight gain among your friends compare to the national average is 1.46.

\(\bar_x\) =  average of weight gain = 16.2

μ = population average = 15

σ = standard deviation = 2.6

n = sample size = 10

To compute the test statistic, first we will choose the correct method.

Test statistics have different method to calculate but often is z-test and t-test, for this test we will use t-test because is ideal for the sample size is under 30. So,

t = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}\)

= \(\frac{16.2 - 15}{\frac{2.6}{\sqrt{10}}}\)

= 1.459

= 1.46

Thus, the weight gain is 1.46 among your friends comparing to the national average.

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Answer:

false

Step-by-step explanation:

1/4k=3/8k-1/4 is just saying that 1/4/k=1/8k

Answer:

System A: x = 2, y = 1

Points: (2, 1)

System B: x= 2, y = 1

Points: (2, 1)

Step-by-step explanation:

Answer: b. 14

Step-by-step explanation:

quiz on edge 2020

A test is worth 140 points. Ten percent of those points are from one short-answer question. How many points is the short-answer question worth?

14 points :D

Answer:

nearest integer 27 by 4

Answer: 3:2 and also 4:3

Step-by-step explanation:

Answer:

Hope this helps :)

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

π

Step-by-step explanation:

Answer:

Lin's father pay for the meal is $18.19

Step-by-step explanation:

Given:

Lin’s father is paying for a $20 meal.

He has a 15%-off coupon for the meal.

After the discount, a 7% sales tax is applied.

Now, to get the amount Lin's father pay for meal.

So, we deduct the 15% discount first:

$20 - 15% of $20.

Then, adding 7% sales tax:

$17 + 7% of $17

Therefore, Lin's father pay for the meal is $18.19.

Answer:

4/7 > 2/10

Step-by-step explanation:

4/7 is close to 1/2

2/10 is close to 0

4/7 > 2/10

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

4 3/8

Step-by-step explanation:

1. We can use the formula

Area = L (length) x W (width)

2. The area is unknown so we can substitute it for a

  The length and width are both known, so we can plug them in.

a= 2 1/2 x 1 3/4

3. Solve by multiplying

a=4 3/8

Area of the rectangle is \(4\frac{3}{8}\) meter square

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

Rectangle is a quadrilateral with four right angles

Area of the rectangle = Length × Width

Length of the rectangle = \(2\frac{1}{2} =\frac{5}{2}\)

Width of the rectangle = \(1\frac{3}{4}=\frac{7}{4}\)

Area of the rectangle = \((\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}\) meter square

Hence, the area of the rectangle is \(4\frac{3}{8}\) meter square

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Mean and IQR (Interquartile Range) give the best tools for measuring the center and spread. So, the correct option is C.

The mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is sensitive to extreme values, also known as outliers, and can be affected by skewed data.

The IQR is a measure of spread that gives the range of the middle 50% of the data. It is calculated by finding the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. The IQR is less sensitive to outliers than the standard deviation, which is a measure of spread that gives the average distance of the data points from the mean.

The median is a measure of central tendency that is the middle value in a dataset when the values are arranged in order. It is less sensitive to extreme values than the mean and is useful when the data is skewed.

While mean and standard deviation are commonly used measures of center and spread, they may not be appropriate for all datasets, especially those that are skewed or contain outliers. Therefore, mean and IQR are often preferred for summarizing the center and spread of such data.

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Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

From the question, we have the following parameters that can be used in our computation:

Divisor = 5

Remainder = 3

Using the above as a guide, we have the following:

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

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The equation of the line in slope-intercept form is y = 2x + 4

What is slope how to solve slope equation ?

Slope is a measure of the steepness of a line. It is defined as the ratio of the change in y-coordinates to the change in x-coordinates between any two points on the line. Slope is denoted by the letter m.

The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line.

To solve for the slope of a line given two points, you can simply plug in the coordinates into the slope formula and simplify.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 2, so we have:

y = 2x + b

To find the value of b, we can use the fact that the line passes through the point (2, 8). Substituting these values into the equation, we get:

8 = 2(2) + b

Simplifying the right-hand side, we get:

8 = 4 + b

Subtracting 4 from both sides, we get:

b = 4

So the equation of the line in slope-intercept form is:

y = 2x + 4

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