Mathematics High School

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?

Answers

Answer 1

Given:

Number of samples n =58

Mean

[tex]\mu=20.53[/tex]

Standard deviation

[tex]\sigma=3.23[/tex]

Required:

Find the confidence interval.

Explanation:

The confidence interval formula is

[tex][\mu-1.96\times\frac{\sigma}{\sqrt{n}},\mu+1.96\times\frac{\sigma}{\sqrt{n}}][/tex]

Substitute the given values in the formula.

Related Questions

1 (a). Determine if each of the following is true or false. Explain your reasoning.i. There are 12 cubic inches in a cubic foot.ii. There are 144 squares inches in a square foot. iii. If I triple the length and width of a rectangle, then the area increase by a factor of 3.iv. If I triple the length and width and height of a cube, then the volume increases by a factor of 27.

Answers

(i)

1 cubic foot is equivalent to 1728 cubic inches, this is why the statement is false.

(ii)

1 square foot is equivalent to 144 square inches, so the second statement is also false.

(iii)

The third statement is also false because if we triple both dimensions of a rectangle, the area will be increased by a factor of 9.

[tex]A=3w\times3l=9wl[/tex](iv)

This statement is true because when we multiply 3x3x3 we actually get a factor of 27

[tex]V=3w\times3l\times3h=27\text{wlh}[/tex]

What is the least common denominator of 1/2x+1=1/4x-6

Answers

Answer:

The least common denominator for 1/2 and 1/4 is 4.

1/2 --> 2/4

Step-by-step explanation:

Hope this helps!

Pls brainliest, tysm!

What is the y-intercept?

Answers

Please provide a picture, I'm not seeing one.

The y-intercept is when the x-value equals zero. (0, y)

You can find the y intercept if you plus in 0 for the c value

The temperature of a day at the end of winter starts in the morning at -2 degrees Fahrenheit. The weather report notes that the temperature increases 10 degrees
by midday. At 5:00 pm, the temperature has doubled since midday. What was the temperature at 5:00 pm?

A 24 degrees

B16 degrees

C-16 degrees

D10 degrees

Answers

Answer:

B. 16 degrees

Step-by-step explanation:

First, we find temperature at miday:

- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)

Now, for temperature at 5:00 pm:

8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)

Answer:

B 16 degrees

Step-by-step explanation:

Find the temperature

We start at -2

We increase 10 degrees by noon

-2 + 10 = 8

at 5pm the temperature doubles

8*2 = 16

Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the left. C. The graph of g is the graph of f shifted 2 units to the right. D. The graph of g is the graph of f shifted 2 units down.

Answers

The graph of g will differ from the graph of f as the graph of g is the graph of f shifted 2 units to the right. Option C

This is further explained below.

What is a function?

A relation between a collection of inputs and one output for each of those inputs is the definition of a function.

A function is a connection between inputs in which each input is associated with precisely one output.

To put it another way, a function is a relationship between inputs. Each function has both a domain and a codomain or range that it operates inside.

Generally, The progression towards

g(x) = f(x -h) +k

depicts a translation with k units added on top and h units added to the right.

Since you have h equal to 0 and k equal to -2, this means that the graph is moved 0 units to the right and 2 units in the opposite direction of up.

The graph of g may be found by shifting f's graph down by two units.

Answers

The answer is 240 trust me I got it correct

Write the plural form of the noun. 1. menu 2. speech 3. theory 4. era Math Write the given number in word form. 9. standard form: 290.1 word form: 10. standard form: 7,035.486 word form: 5. lady 6. mailbox 7. patio 8. apostrophe

Answers

Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.

What is Word form?

The written format or the word format of any number provided is called as its word form.

In this question, we are asked to find out the word form of 290.1 and 7,035.486.

290.1 in word form can be written as Two Hundred and ninety point one.

7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.

What is Plural form?

Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.

The plural forms of the asked nouns have been specified as above already.

To know more about plural form, visit:

https://brainly.com/question/2516666

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A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in. If the container holds 1096 cubic feet of shipped goods, what percent is empty?

Answers

As per the volume of a rectangular prism, it is found that 34.76% of the container is empty.

Volume of a rectangular prism

The volume of the rectangle prism is calculated by multiplying the length, breadth and height of the prism.

The formula for the volume of rectangle prism is

V = l x w x h

where

l represents the length

w represents the width

h represents the height

Given,

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in.

Here we need to find if the container holds 1096 cubic feet of shipped goods, what percent is empty

According to the given question,

Let us consider the length is 30ft, Width is 8ft and Height is 7ft.

Here the value 3ft refers the depth.

That one is also multiplied with the volume.

Therefore, the volume of the container is

=> 8 x 7 x 30

=> 1680

Therefore, the volume of the container is 1680 cubic feet.

So, here we have to percentage of the empty space for that we have to find the difference of them and convert it into percentage,

=> 1680 - 1096

=> 584

The percent of empty space is,

=> x% of 1680 = 584

=> x% = 584/1680

=> x% = 0.3476

=> x = 34.76

Therefore, 34.76% of rectangular prism container is empty.

To know more about Volume of rectangle prism here.

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1.if the m∠7 = 115° , find the measure of ∠2
Show your work

Answers

Answer: The measure of is 115°.

Step-by-step explanation:

Now, assuming those angles are supplementary, then

m<7 + m<2 + 180

Because, supplementary angles sum 180\°, due to their position on a straight angle.

We know by given that m<7 = 115 , replacing this value, we have

115 + m<2 + 180

m<2 = 180 - 115

m<2 + 65

Step-by-step explanation:

Which 3 measurements could be the dimensions of a right triangle?
(a² + b² = c²)

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

Danielle earns $36.80 for 4 hours of yardwork. How much does Danielle earn for 10 hours of yardwork

Answers

Firstly he earns 36.8 dollars in 4 hours
So how much does he earn per hour?
Decide 36.8 by 4 => 9.2 dollars
Now he earns 9.2 dollars for every he so he’ll earn 9.2(10) I.e. 92 dollars in 10 hours

$36.80 x 2 = $73.60

$36.80 / 2 = $18.40

4hr + 4hr + 2hr = 10hr

$73.60 + $73.60 + $18.40 = $165.60

wo horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.

Answers

Answer:

Step-by-step explanation:

Multiply 32 by 5 = 160

Multiply 28 by 5 =140

subtract 140 from 160

Answer Horse A would have traveled 20 feet farther the Horse B

PLEASE HELP ASAP! What is the rate of change (slope) and the initial value (y-axis) for this table? PLEASE ANSWER BOTH Y AXIS AND SLOPE! And please give an explanation if possible

Answers

Answer:

24 and 11

Step-by-step explanation:

See attached worksheet.

PLEASE HELP ME!!! *correct answer will get brainlist*

Answers

I think y=4 and x=(-2)

which measurements are equivalent to 3 yards

Answers

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

It's possible to build a triangle with side lengths of 3, 3, and 9.
O A. True
O B. False

Answers

it is possible to make a triangle with the sides 3, 3 and 9

true

4y+3z=19
-x+z=27
x-3y=-19

Solve the system of equations

Answers

4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
divide
4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
by
2
2
.
4
y
+
3
z
=
19
−
x
+
z
=
7
x
−
3
y
=
−
19

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2: