A population has a standard deviation of 24. What is the standard error of the sampling distribution if the sample size is 100?
A. 0.48
B. 4.8
C. 0.24
D. 2.4

Answer:

"None of the answers are correct."

Step-by-step explanation:

The formula for Area given the circumference is A = [tex]\frac{C^{2} }{4\pi }[/tex]

[tex]\frac{26^{2} }{4\pi } = 53.79437[/tex]

So none of the above are correct

Answer:

216 cubic inches

Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.

What is a cube?

A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.

Given, length of the each side of Jena's small jewelry box = 2 inches.

Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.

Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.

Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.

Hence, the difference = (140 - 8) inches³ = 132 inches³.

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Answer:

The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]

Step-by-step explanation:

Inverse of a function:

Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.

In this question:

[tex]y = \frac{x^3}{8} + 16[/tex]

Exchanging x and y:

[tex]x = \frac{y^3}{8} + 16[/tex]

[tex]\frac{y^3}{8} = x - 16[/tex]

[tex]y^3 = \frac{x-16}{8}[/tex]

[tex]y = \sqrt[3]{\frac{x-16}{8}}[/tex]

The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]

Answer:

9.54 feet

Step-by-step explanation:

Using Pythagoras rule :

Length of ramp = 10 feets = hypotenus

Hypotenus² = opposite² - adjacent²

d² = 10² - 3²

d² = 100 - 9

d² = 91

d = √91

d = 9.5393920

d = 9.54 feets

Answer:

a. Nominal and qualitative.

b. Ratio and quantitative.

c. Interval and quantitative.

d. Interval and quantitative.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

In this scenario, the level of measurement and data type are listed below;

a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.

c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

Answer:

0.97725

Step-by-step explanation:

Given :

Population mean, μ = 4.2

Population standard deviation, σ = 1.8

Sample size, n = 36

Obtain the Zscore of x = 4.8

Zscore = (x - μ) ÷ (σ / √n)

Zscore = (4.8 - 4.2) ÷ (1.8 / √36)

Zscore = 0.6 ÷ 0.3

Z = 2

Hence,

P(Z ≤ 2)

Using the Z probability calculator :

P(Z ≤ 2) = 0.97725

Answer:

2496 cm sq.

Step-by-step explanation:

Length equals 52cm and Perimeter is 200cm.

Area = Length x Breadth (or Width).

To find the area we have to first find the breadth.

2 x (Length + Breadth) = Perimeter.

Substituting what's given in the question, we get:-

2 x ( 52 + Breadth) = 200

52 + Breadth = [tex]\frac{200}{2}[/tex]

52 + Breadth = 100

Breadth = 100 - 52

Breadth = 48cm.

So, Area equals-------->

Length x Breadth

= 52 x 48

Area = 2496 cm sq.

Answer:

a=36

Step-by-step explanation:

a - 15 = 21

   +15    +15

a = 36

Answer:

30 dimes

Step-by-step explanation:

Multiply the number of coins by the fraction that are dimes to determine the number of dimes

48*5/8 =30

Answer:

0.0283642

Step-by-step explanation:

Number of uppercase letters = 26

Number of lowercas = 26 alphabets = 10

Number of password characters = 10

Hence total number of passwords with exactly 10 characters (26 + 26 + 10) ^10 = 62^10 = 839299365868340224 passwords

Password with 10 strings, and having atleast one upper, lower and digit character :

26^1 * 26^1 * 10^1 * (26+26+10)^7 = 23806114737966080 (1 upper, lower and digit character, the remaining 7 could be any of them)

Probability = required outcome / Total possible outcomes

P(password with atleast 1 upper, lower and digit character) = 23806114737966080 / 839299365868340224

= 0.0283642

Answer: 290 miles

Step-by-step explanation:

Given

Allison drove with a speed of 58 mph

Austin drove with a speed of 40 mph

If both start at the same time

suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles

[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]

Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]

Answer:

A.

Step-by-step explanation:

x + y = 29, 5x +2y = 100

Answer:

very difficult for me so ask someone

Answer:

B, and i don't for the second one

Step-by-step explanation:

Answer:

Box volume ≈ 5,434 ft³

Step-by-step explanation:

Given: Railroad boxcars are 52 feet long, 9.5 feet wide, and 11 feet

To find: The volume, in cubic feet, of common railroad boxcars

Solution: To find the volume of a box, simply multiply the length, width, and height.

                                           52 × 9.5 × 11 = 5434

Therefore, the volume, in cubic feet, of common railroad boxcars is 5,434 ft³

For dimensions that are relatively small whole numbers, calculating volume by hand is easy.

Answer

Step-by-step explanation:

yes 20 feet long

The largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet. The smallest area she could have while using all 40 feet of fencing is 100 square feet.

To maximize the area of the play area, we can consider the dimensions that will allow for the largest possible rectangle. Let's denote the width of the play area as "w" (in feet) and the length as "l" (in feet).

Since one side of the play area is already taken care of by the house, we need to use the remaining 40 feet of fencing to enclose the other three sides.

We have two equal sides (width) and one side (length) that needs to be fenced.

Considering the given conditions:

The area needs to be at least 5 feet long and 5 feet wide.

The total length of the fencing is 40 feet.

Let's consider the possible scenarios:

Scenario 1: The width and length are both 5 feet.

In this case, the total length of the fencing required would be:

2 * 5 feet (width) + 5 feet (length) = 15 feet.

However, since we have 40 feet of fencing available, this scenario is not possible.

Scenario 2: The width is 10 feet, and the length is 20 feet.

In this case, the total length of the fencing required would be:

2 * 10 feet (width) + 20 feet (length) = 40 feet.

This scenario satisfies all the given conditions and uses all 40 feet of fencing. The area in this case would be:

Area = Width * Length = 10 feet * 20 feet = 200 square feet.

Therefore, the largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet.

As for the smallest area she could have while using all 40 feet of fencing, that would be when the play area is a square. Since all sides of a square are equal, the play area would be a square with sides of 10 feet each. The area in this case would be:

Area = Side * Side = 10 feet * 10 feet = 100 square feet.

So, the smallest area she could have while using all 40 feet of fencing is 100 square feet.

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Answer:

C) 4

Step-by-step explanation:

By definition, cosecant (csc) is the reciprocal of sine (sin). The reciprocal of 1/4 is equal to C) 4.

Answer:

Step-by-step explanation:

Number 5 is L because you have 18 coins but you only want to find the probability of the pennies. So take 3/18 and simplify to 1/6 by dividing both the numerator and the denominator by 3.

Number 6 can be (-6x - 3), just use the distributive property on the original expression.

Answer:

5. I.

6. -6x - 3

Step-by-step explanation:

For number five you add up all the coins, which equals 18. Secondly, you see how many pennies there are. There are 3 so the answer is 3/18. Then you simpy into 1/6.

For number six, you want to multiply 3 by -2x and then multiply 3 by -1. You will get the answer -6x -3. If you see a number outside the parenthesis then multiply by the number inside of it.

3.75 is the correct answer

In order to figure out the half-life, you divide to sample by 2. In order to find how many times to divide it you divide 15 by 3 and get 5. Therefore, you divide 120 by 2, 5 times and get 3.75

Answer:

y = 2/3x + 5

Step-by-step explanation:

Hope this helps! :)

Answer:

3⁷ × 1/3⁴

Step-by-step explanation:

3⁷ × 3¯⁴

The above expression can be simplified as follow:

3⁷ × 3¯⁴

Recall,

a¯ⁿ = 1/aⁿ

Thus,

3¯⁴ = 1/3⁴

Therefore,

3⁷ × 3¯⁴ = 3⁷ × 1/3⁴

Answer:

D $300

Step-by-step explanation:

I did a test with that question and got it correct

Answer:

D $300 Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

I have the same thing as u. it's 2.

Answer:

c. Yes because the cut-off is more than the sample mean

Step-by-step explanation:

The null and alternate hypotheses are

H0 : u= 3.5 ounces  vs Ha: u > 3.5 ounces

The mean and standard deviation of the sample are calculated to be 3.76 and 0.24

The test statistics is

t= x`- u/s√n

= 3.76-3.5/0.24/√10

= 0.26/0.07589

=3.426

The critical region for z test is  z > ± 2.33

The critical region for t test is   t > ± 2.82 for 9 d.f

For both the tests( z and t)   the test statistic =3.426 lies  in the critical region.

Hence we reject H0 and accept the hypothesis that  the new design is better than the old one at a level of significance of 1%.

cut-off = mean + 3 times the standard deviation

          =  3.76 + 3* 0.24

 cut-off     =4.48

Yes, the cut off is more than the sample mean.

So choice c is the best option.