60 points :d

how can you do whole numbers divided by decimals?
like for example

9 divided by 0.85

sorry if this is obvious!!

Answers

Answer 1

Answer:

When dividing a whole number by a decimal, you can use long division to find the quotient (the answer to the division problem). Here's how to divide 9 by 0.85 using long division:

.        __________

0.85 | 9.00

        8.50    (0.85 goes into 9.00 one time)

      -----

        1.50    (subtract 8.50 from 9.00)

        1.27    (0.85 goes into 1.50 one time)

      -----

        0.23    (subtract 0.85 from 1.50)

When dividing a whole number by a decimal, you can use long division to find the quotient (the answer to the division problem). Here's how to divide 9 by 0.85 using long division:

sql

Copy code

.        __________

0.85 | 9.00

        8.50    (0.85 goes into 9.00 one time)

      -----

        1.50    (subtract 8.50 from 9.00)

        1.27    (0.85 goes into 1.50 one time)

      -----

        0.23    (subtract 0.85 from 1.50)

The quotient is the number above the division line, which is 10 with a remainder of 23/100. Therefore:

9 / 0.85 = 10 with a remainder of 23/100, or 10.5882 (rounded to four decimal places)

So, 9 divided by 0.85 is approximately 10.5882.


Related Questions

Convert the following phrase into a mathematical expression. Use x as the variable. Combine like terms when possible.

A number multiplied by −8​, subtracted from the sum of 5 and three times the number

The expression is ____.

Answers

The expression will be 5 + 11x.

What is an expression?

An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

It is possible to compare expressions to phrases. In English, a phrase by itself may contain an action, but it does not constitute a whole sentence.

Explanation: 3 + 7

Let the number to be "x"

Step 1 : the number is multiplied by - 8

           So, -8 x

Step 2 : subtracted from the sum of 5 and 3 times the number

       So,  (5 +3x) - (-8x)

           = 5+3x + 8x

           = 5 + 11x

Hence, The final expression will be 5 + 11x.

To earn more about Expressions, visit the link:

https://brainly.com/question/723406

#SPJ1

If f (x) = √x
Write the equation for the transformed functions "y1" and "y2"
y1 = 2f (x + 5) -3 Equation : _______
y2 = f(2(x - 5)) + 3 Equation : _______
Given the equation f(x) = x^2 - 9, write the equations for – f(x) and for f(–x)

Answers

f(x) = x^2 - 9
f(-x) = (-x)^2 - 9

y1 = 2√(x + 5) - 3
y2 = √(2(x - 5)) + 3

For the second question:
f(x) = x^2 - 9
f(-x) = (-x)^2 - 9
f(-x) = x^2 - 9

Learn more about transformed function

brainly.com/question/13810353

#SPJ11

Solve the proportion.

x/4=2/5

Answers

Answer:

[tex]x=1.6[/tex]

Step-by-step explanation:

To solve, first cross-multiply:

[tex]\frac{x}{4} = \frac{2}{5}[/tex]

[tex]5x = (4)(2)[/tex]

Then, solve the equation:

[tex]5x=8[/tex]

[tex]x=\frac{8}{5}[/tex]

[tex]\frac{8}{5} = 1.6[/tex]

[tex]x=1.6[/tex]

Therefore, x = 1.6.

I hope this helps!

Please help asap i need this badly

Answers

Hi I believe the answer is 8 seconds because every second he consumes 75 Milliliters. 600 divided by 75= 8. If it is right, can you give me brainliest please :)

Answer:

  75 seconds

Step-by-step explanation:

You want to know how long it took Sean to drink his slushy, given a graph of amount remaining versus time.

Remaining

Sean will have finished his slushy when the amount remaining is zero. That point on the graph occurs when the time is 75 seconds.

It takes 75 seconds for Sean to finish the slushy.

<95141404393>

The question is in the screenshot:

Answers

We can deduce that 3pi/4<5pi/3<2pi

The angle is in the 4th quadrant. To find the angle you just do:

[tex]2\pi -\frac{5\pi }{3}=\frac{\pi }{3}[/tex]

The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.

2(3) to the power of 3 plus 5

Answers

I may be wrong but i believe it would be 11 .

For which value(s) ofcdoes the equationx​+4​−c​=0has a solution. (A)c=−4(B)c=0(C)0

Answers

For none of the option the linear equation x+4=c have solution.

The equation x + 4 - c = 0 can be rearranged to isolate the variable c on one side of the equation. This gives us:

c = x + 4

Now, we can see that the value of c depends on the value of x. In other words, there are infinitely many values of c that make the equation true, as long as they are equal to x + 4.

So the answer to the question is that there are infinitely many values of c that make the equation x + 4 - c = 0 true. None of the given options (A) c = -4, (B) c = 0, or (C) 0 are correct.

To know more about linear equation click on below link:

https://brainly.com/question/29739212#

#SPJ11

Which graph represents the solution for the open sentence 3|p|−5<7
?

Responses

Number line ranging from negative five to five. A line begins with an open point at negative four and continues to the left without end. A second line begins with an open point at four and continues to the right without end.

Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and continues to the left without end. A second line begins with an open point at four and continues to the right without end.

Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.

Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.

Number line ranging from negative five to five. A line begins with a closed point at negative four and ends with a closed point at four.

Image with alt text: Number line ranging from negative five to five. A line begins with a closed point at negative four and ends with a closed point at four.

Number line ranging from negative five to five. A line begins with a closed point at negative four and continues to the left without end. A second line begins with a closed point at four and continues to the right without end.

Answers

The graph that represents the solution for the open sentence 3|p|−5<7 is:

What is graph?

a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

: the collection of all points whose coordinates satisfy a given relation (such as a function)

: a collection of vertices and edges that join pairs of vertices

Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.

Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.

In this graph, the open points at -4 and 4 indicate that the values of p that make the inequality true do not include -4.

learn more about graph

https://brainly.com/question/17267403

#SPJ1

Question 4.
A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the number of drinks purchased. For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling. What is the maximum amount of sports drinks you can purchase for $75?

A. 85
B. 81
C. 92
D. 107

Answers

Using the equatiοns, we fοund that the maximum amοunt οf spοrts drinks yοu can purchase fοr $75 is 86.

What is meant by an equatiοn?

A mathematical equatiοn is a fοrmula that uses the equals symbοl (=) tο cοnnect twο expressiοns and express their equality. The definitiοn οf an equatiοn in algebra is a mathematical statement that prοves twο mathematical expressiοns are equal. LHS = RHS (left-hand side = right-hand side) appears in all mathematical equatiοns. Yοu can sοlve equatiοns tο determine an unknοwn variable's value, which cοrrespοnds tο an unknοwn quantity. It is nοt an equatiοn if there is nο "equal tο" sign in the statement. That shall be taken intο accοunt as an expressiοn.

Let,

the number οf drinks = x

the tοtal cοst οf the x drinks = y

Then we can write equatiοns using the given infοrmatiοn.

When the οrder cοntains 50 οr fewer spοrts drinks, the equatiοn is:

y = 0.8x + 10

When the οrder cοntains mοre than 50 spοrts drinks, the equatiοn is:

y = 0.7x + 15

Since we have tο find the number οf drinks fοr $75, we can write that:

y = 75

Substituting in the equatiοns,

75 = 0.8x +10

65 = 0.8x

x= 81.25 = 81

75 = 0.7x +15

60 = 0.7x

x = 85.7 = 86

Nοw, 86 > 81

Therefοre using the equatiοns, we fοund that the maximum amοunt οf spοrts drinks yοu can purchase fοr $75 is 86.

To learn more about equations, follow the link.

https://brainly.com/question/17145398

#SPJ1

The graph of polygon FGHI is shown. Graph the image of FGHI after a reflection across the line y=-1. Include the line of reflection. Then write the coordinates of the image.​

Answers

The coordinates of the reflected polygon F'G'H'I' are as follows:

F'(-2, -1), G'(5, -4), H'(8, -5), and I'(6, -2).

What is the reflection?

In mathematics, reflection is defined as the mirror image of a figure crossing a line (drawn or imagined), known as the line of reflection.

The vertices of the polygon FGHI are as follows:

F(2, -1)

G(5, 2)

H(8, 3)

I(6, 0)

To reflect the polygon FGHI across the line y = -1, we need to flip the points over the line.

Now we can reflect each of the points of the polygon across the line y = -1 to get the image:

F(2, -1) stays in the same place because it lies on the line of reflection.

G(5, 2) is reflected to G'(5, -4) by flipping it vertically across the line y = -1.

H(8, 3) is reflected to H'(8, -5), and

I(6, 0) is reflected to I'(6, -2).

Learn more about the reflection here:

https://brainly.com/question/2375657

#SPJ9

Factorise this expression as fully as possible
16t³ + 10t

Answers

Factorization of expression 16t³ + 10t is 2t (8t² + 5) .


What is factorization?

Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15

Given expression

16t³ + 10t

It can be written as

2 × 8 (t . t . t ) + 2 × 5 (t)

Factoring out common factors

2t (8t² + 5)

Hence, 2t (8t² + 5) is factorization of expression 16t³ + 10t

Learn more about factorization here:

https://brainly.com/question/14549998

#SPJ9

A) write 19/20 as a decimal b)write 19/20 as a percentage

Answers

Answer:

0.95 and 95%

Step-by-step explanation:

19/20 as a decimal is 19÷20=0.95

as it's 0.95 as a decimal it's 95% as a percentage

Answer:

A) 0.95

B) 95%

I hope you mark me as a brainliest pls

NEED HELP DUE TODAY!!!!!!!
Express each radian measurement in degrees.
• π/3 radians
• 5π/4 radians

4. Express each degree measurement in radians.
• 30°
• 120°

5. For each pair of angle measurements, circle the one which is larger.
• π radians or 200 degrees
• 3π/2 radians or 200 degrees
• 1 radian or 90 degrees
• π/3 radians or 45 degrees

Answers

Three radians, or 45 degrees, are the greater angle between each pair of measurements.

what is angle ?

An angle is a figure created in geometry by two rays or line segments that meet at the vertex of the angle. The edges of the angle are the rays or line segments. Angles are used to describe the amount of rotation or turn between two lines or objects. For instance, a 90-degree angle is equivalent to a quarter turn, while a 180-degree angle is equivalent to a half turn or a straight line. A full turn plus a smaller angle is equivalent to an angle that is larger than 180 degrees but less than 360 degrees.

given

In degrees, express each radian number.

• 3 radians equals 60 degrees (multiply the radian measurement by 180/ to transform radians to degrees).

• 225 degrees = 5/4 radians

Use radians to determine each degree.

• 30° Equals /6 radians (multiply the degree measurement by /180 to convert degrees to radians)

• 120° equals 2.3 radians

Circle the larger angle between each set of measurements.

• Radians or degrees: 200 degrees (to measure, 180 degrees are equal to one radian).

• 200 degrees or 32 radians: 200 degrees

• One radian is equal to 90 degrees.

Three radians, or 45 degrees, are the greater angle between each pair of measurements.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

A store is planning on having New Year's sale in which all winter coats will be discounted by 60%. Find the sale price of a coat that
has a regular price of $80

Answers

Answer:

$32

Step-by-step explanation:

Since the coats are discounted by 60%, we need to find 100-60=40% of the original price.

We need to find 40% of 80.

We can use proportional relationships.

100%=80

10%=8

40%=32

HELP ME OUT IM CONFUSED

Answers

The answer is A as the ramp angle is increasing as well as the distance

What is the set of x-intercepts of this graphed function?

Answers

Answer:

-3, -1, 3

Step-by-step explanation:

X-intercepts are also known as the roots or zeros of a function.

Finding Intercepts From Graphs

In the problem, we are given a basic polynomial graph. The x-intercepts are where the graphs intersect with the x-axis. Remember that the x-axis is the horizontal axis. Finding x-intercepts when given a graph is as simple as just looking to see where the line crosses over. We can see that the graph crosses the axis in three points. The x-intercepts are x = -3, -1, and 3.

Finding Intercepts From Equations

In this question, we are not given an equation, but if we were there is another possible way to solve it. The x-intercepts occur when y = 0. So, to find x-intercepts from an equation, all you need to do is plug 0 in for y and solve.

1. a) Indicar tres monomios semejantes a - 3x¹.
b) ¿Vo F? 12ab y -12ab son semejantes.
c) ¿Vo F? 2x²y y 2xy² son semejantes.
d) Escribir dos monomios semejantes de grado 5 y cuya parte literal conste de dos letras.

Answers

Answer:

a) -5x, 3x y 7x son monomios semejantes a -3x¹.

b) Verdadero, ya que ambos tienen coeficiente -12 y la misma parte literal ab.

c) Falso, ya que el primer monomio tiene exponente 2 en la variable x y exponente 1 en la variable y, mientras que el segundo monomio tiene exponente 1 en x y exponente 2 en y.

d) 3x²y³ y 2x²y³ son dos monomios semejantes de grado 5 y cuya parte literal consta de las variables x e y elevadas a exponentes 2 y 3 respectivamente.

if the diameter of a cone is 19 yd and the height is 13 yd . What is the volume?

Answers

If the diameter of a cone is 19 yd and the height is 13 yd, the volume of this cone is equal to 1,228 cubic yard.

How to calculate the volume of a cone?

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

V represents the volume of a cone.h represents the height.r represents the radius.

Radius = diameter/2 = 19/2 = 9.5 cm.

Substituting the given parameters into the volume of a cone formula, we have the following;

V = 1/3 × πr²h

V = 1/3 × 3.14 × 9.5² × 13

Volume, V = 1,228 cubic yard.

Read more on cone here: https://brainly.com/question/1082469

#SPJ1


The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

Answers

The equation that can be used to determine the weight of the textbooks is  t = 0.7(t + 4 + 2) = t

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, the notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, seventy percent of the total weight is textbooks,

Let the weight of the textbooks= t

The backpack of the book= 2 pounds

The weight notebook in total = 4 pounds

But remember that 70% of total weight is the textbooks.

Therefore, the equation can be computed as

70%(t + 4 + 2) = t

0.7(t + 4 + 2) = t

Hence, the equation that can be used to determine the weight of the textbooks is  t = 0.7(t + 4 + 2) = t

Learn more about equation, click;

https://brainly.com/question/29657988

#SPJ9

Christian's money from his job increased from $12 hour to $21 hour. What is the percent increase?

Answers

Answer:

75%

Step-by-step explanation:

Starting value: 12

Final Value: 21

Subtract final value minus starting value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get percent increase

If the percentage is negative, it means there was a decrease and not an increase.

Which expressions contain exactly two terms? Choose ALL that are correct. Responses −5+6x+3y2 − 5 + 6 x + 3 y 2 4x 4 x 7−9x 7 − 9 x (x+2)(y−4) ( x + 2 ) ( y − 4 ) 8x2+5x

Answers

The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, without the use of equal sign (=). It can include one or more terms, which are separated by addition or subtraction operators.

The expressions that contain exactly two terms are:

7 - 9x

8x2 + 5x

Therefore, The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

Solve
5sin(x)−2cos(x)=3
for the first 2 positive solutions
x=
Give your answers accurate to at least 2 decimal places, as a list separated by commas Let
f(x)=5.7sin(x)−3.9cos(x)
. What is the maximum and minimum value of this function?
max=
min=
Report answers accurate to 4 decimal places.

Answers

The maximum value of the function is 6.9159 and the minimum value is -6.9159, accurate to 4 decimal places. The answers should be provided as a list separated by commas, so the final answer is:

max = 6.9159, min = -6.9159

The first step in solving 5sin(x)−2cos(x)=3 is to rearrange the equation to isolate the sin(x) term. We can do this by adding 2cos(x) to both sides of the equation:

5sin(x) = 3 + 2cos(x)

Next, we can divide both sides of the equation by 5 to isolate the sin(x) term:

sin(x) = (3 + 2cos(x))/5

Now, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to substitute for cos(x) and solve for sin(x):

sin^2(x) = (3 + 2√(1 - sin^2(x)))/5

Multiplying both sides of the equation by 5 and rearranging gives us:

5sin^2(x) - 2√(1 - sin^2(x)) - 3 = 0

We can use the quadratic formula to solve for sin(x):

sin(x) = (-(-2) ± √((-2)^2 - 4(5)(-3)))/(2(5))

Simplifying gives us:

sin(x) = (2 ± √(28))/10

Using a calculator, we can find the first 2 positive solutions for x:

x = sin^-1((2 + √(28))/10) ≈ 0.72, 2.42

Therefore, the first 2 positive solutions for x are 0.72 and 2.42, accurate to at least 2 decimal places.

To find the maximum and minimum values of f(x)=5.7sin(x)−3.9cos(x), we can use the formula:

max = √(a^2 + b^2)

where a and b are the coefficients of the sin(x) and cos(x) terms, respectively. Substituting in the values for a and b gives us:

max = √((5.7)^2 + (-3.9)^2) ≈ 6.9159

The minimum value of the function is the negative of the maximum value:

min = -6.9159

Therefore, the maximum value of the function is 6.9159 and the minimum value is -6.9159, accurate to 4 decimal places. The answers should be provided as a list separated by commas, so the final answer is:

max = 6.9159, min = -6.9159

Learn more about Decimal

brainly.com/question/29765582

#SPJ11

The scale factor of two similar hexagons is 3:7.

The area of the smaller hexagon is 18 m2.

What is the volume of the larger hexagon?

Question 7 options:

5832 m2


36 m2


42 m2


324 m2


98 m2

Answers

Since the two hexagons are similar, their corresponding sides are in the same ratio as the scale factor.

Let x be the length of a side of the smaller hexagon, then the corresponding length of a side of the larger hexagon can be expressed as (3/7)x.

The area of a hexagon can be calculated using the formula: A = (3√3/2)s², where s is the length of a side.

Since the area of the smaller hexagon is 18 m², we can solve for x as follows:

18 = (3√3/2)x²

x² = 12/√3

x = 2√3

Now we can calculate the area of the larger hexagon:

Area of the larger hexagon = (3√3/2)(3/7x)² = (3√3/2)(3/7(2√3))² = 54/49 m²

Finally, we can calculate the volume of the larger hexagon, assuming it is a regular hexagonal prism:

Volume of the larger hexagon = Area of hexagon x Height

The height of the hexagonal prism is the same as the length of the side of the larger hexagon, which is (3/7)x:

Volume of the larger hexagon = (54/49) x (3/7)x = 54/343 x² ≈ 0.212 x²

Substituting the value of x, we get:

Volume of the larger hexagon ≈ 0.212 x (2√3)² = 1.272 m³

Therefore, the volume of the larger hexagon is approximately 1.272 m³.

Well, I'm not sure if it's correct but I got 42.

I got this by doing something along the lines of:

1) 18/x = 3/7

2) Cross multiply

3) 3x = 126

4) Divide both sides by 3

5) x = 42

Determine the Equation of circle A

Answers

Answer:

Step-by-step explanation:

When writing the equation for a circle on a plane, we use the format:

[tex](x-x_{1})^2+(y-y_{1})^2=r^2[/tex]

x1 and y1 is the point of the center of the circle, which in this case is (1,-2)

r represents the radius, which is the distance from the center to the edge of the circle, which is (4,-2) - (1,-2) = 3

Our equation is now:

[tex](x-1)^2+(y+2)^2=9[/tex]

the reason why its y+2 is because (y-(-2) = (y+2)

r is squared, which is why it's 9 instead of 3. Hope this helps!

Mr. Packer is selling cheese cubes that weigh 1/4 pound. To make the cubes, he cuts up a 3 pound block of cheese

Answers

Answer:

12 blocks will made from the 3 pound block

Step-by-step explanation:

Use the Variables Section, Gender, Age, Nationality, GPA, Midterm Score, Income, Expenditure, no. of credits, no. of absence, Learning Preference, Online Device ) from TABLE 1 to state the following Hypotheses

Answers

Hypothesis 1: There is a positive correlation between gender and GPA.
Hypothesis 2: There is a positive correlation between age and midterm score.
Hypothesis 3: There is a negative correlation between nationality and income.
Hypothesis 4: There is a negative correlation between expenditure and no. of credits.
Hypothesis 5: There is a positive correlation between no. of absences and learning preference.
Hypothesis 6: There is a positive correlation between online device usage and income.

To know more about variables refer here:

https://brainly.com/question/17344045

#SPJ11


Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.

Answers

The system of equations shown models the total costs for taking 10 classes at each.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Toe Tappers charges a rate for each class plus a one-time registration fee.

Dance World, y = 15x

Toe Tappers, y = 25 + 12.5x

Where x = number of classes

Now Equate the total cost at both dance studios;

15x = 25 + 12.5x

Collect like terms;

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5;

2.5x / 2.5 = 25 / 2.5

x = 10 classes

Thus, x = number of classes = 10

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Find the perimeter of the triangle. Please show your work.

Answers

The key here is to solve for x.

To find the perimeter, you either find the length of one side and multiply it by 3 OR inputting the x value into each equation and add them all together.

Answer:

Perimeter=33

Step-by-step explanation:

2x+3=4x-3

0=2x-8

2x=8

x=4

Input 4 as Variable

2x+3=2(4)+3

=8+3

=11

P=3x11

P=33

1. A wholesaler received a shipment of goods, which is reported to be containing at most 2% defective items. He will accept the shipment if the claim is found true and reject if the percentage of defective items is more. To verity this claim, he draws a sample of 200 items and finds that 10 items are defective. Use 5% level of significance to investigate the claim.

Answers

At a 5% level of significance, the claims that a shipment of goods contains at most 2% defective items is accepted.

To investigate the claim that the shipment contains at most 2% defective items, we can use the 5% level of significance. The claim is that the population proportion of defective items is at most 2%, or p0 ≤ 0.02. The sample size is n = 200, and the sample proportion of defective items is pobs = 10/200 = 0.05.

The test statistic is then:

z = (pobs - p0) / √(p0(1-p0) / n)

= (0.05 - 0.02) / √(0.02(1-0.02)/200)

= 1.02.

With a 5% level of significance, we can look up the critical value for a one-tailed z-test and find that it is zα/2 = 1.645. Because 1.02 < 1.645, the test statistic is not greater than the critical value, and thus we fail to reject the null hypothesis that the population proportion of defective items is at most 2%.

In conclusion, with a 5% level of significance, the claim that the shipment contains at most 2% defective items is accepted.

Learn more about Level of significance:

https://brainly.com/question/15414435

#SPJ11

en thatf(x)=x2−3xandg(x)=x+10f+g=f−g=fg=gf​=​Use the following functions to: find, simplify, and identify the domain of each of the function combinations.f(x)=x2−11xandg(x)=x+9(a)(f+g)(x)=Domain of(f+g)(x): (b)(f−g)(x)=Domain of(f−g)(x): (c)(fg)(x)=Domain of(fg)(x): (d)(gf​)(x)=Domain of(gf​)(x)

Answers

The function combinations and their respective domains are as follows:

(a) (f+g)(x) = f(x) + g(x) = x^2 - 11x + x + 9 = x^2 - 10x + 9
The domain of (f+g)(x) is all real numbers, since there are no restrictions on the values of x.

(b) (f-g)(x) = f(x) - g(x) = x^2 - 11x - (x + 9) = x^2 - 12x - 9
The domain of (f-g)(x) is also all real numbers, since there are no restrictions on the values of x.

(c) (fg)(x) = f(x) * g(x) = (x^2 - 11x)(x + 9) = x^3 - 2x^2 - 99x
The domain of (fg)(x) is all real numbers, since there are no restrictions on the values of x.

(d) (gf)(x) = g(x) * f(x) = (x + 9)(x^2 - 11x) = x^3 - 2x^2 - 99x
The domain of (gf)(x) is all real numbers, since there are no restrictions on the values of x.

In conclusion, the domain of all the function combinations is all real numbers, since there are no restrictions on the values of x.

Learn more about domains

brainly.com/question/29452843

#SPJ11

Other Questions
In this figure, the unshaded region represents a painting and the shaded region represents a frame around the painting. All angles are right angles.(a) What is the area of the painting? square inches(b) What is the area of the frame and painting? square inches(c) What is the area of the frame? square inchesHELP ME AS FAST AS POSSIBLE, WILL GIVE BRAINLIEST Listen to the audio and then answer the following question. Feel free to listen to the audio as many times asnecessary before answering the question.What is Jorge's problem? 0:00/0:12O He wants to watch television.O His mother can't drive him to school.O He can't find his shoes.He doesn't want to make his bed.d returnSave and ExitNextSubmit Work is the quantity of _____. used to move an object. how do i answer that?! Compare the motivation for Europe's trade with Asia to the motivation for Spain's desire for riches in the Americas. Describein some detail the operation of the gas exchange system. When waterwarms, it loses its free oxygen. How would this affect the gasexchange system of a bony fish? Find the area of the triangle, to the nearest tenth, of the triangle with a = 3, b = 5, and c = 6 Marcus has a bag of plastic disks that are red (R) or white (W). He performs a simulation by randomly selecting 3 disks from the bag at one time and recording the results. He then puts the disks back in the bag. His results are shown Starts work at 7:30 a.m. and finish at 4:30 p.m. he has a 45-minute lunch break how many hours does he work in a normal 5-day week graph the line y= -2x- 3 What country hosted the memorable 2008 Summer Olympics? A. Greece B. England C. China D. United States Or answering questions in a job interview,I make sure my subjects and verbs are ?But in everyday life, my speech is adaptable. Value added tax is added at 15% for goods and services In South Africa. What will be the selling of a laptop that costs R4200 before VAT A radio has a resistance of 175 ohms, with a current flowing through it of 700mA. What is the potential difference? Can you answer the question??? TKSSSSSSS twelve basketball teams will play in a tournament. Four will be given byes in the first round. They will be matched against the four first-round winners from the other eight teams. How many games will a team have to win in ordet to win the tournament Which service is only provided by the federal government?A : operation of police and fire departments?B: garbage collection C: national defense D: setting education standards for children Choose a word and write the word as Verb, Noun, Adjective, Adverb.WORD: Verb: Noun: Adjective: Adverb: 1. Home has 1,200 units of labor available. It can produce two goods, apples and bananas. The unit labor requirement in apple production is 3, while in banana production it is 2.a. Graph Homes production possibility frontier.b. What is the opportunity cost of apples in terms of bananas?c. In the absence of trade, what would be the price of apples in terms of bananas? Why?2. Home is as described in problem 1. There is now also another country, Foreign, with a labor force of 800. Foreigns unit labor requirement in apple production is 5, while in banana production it is 1.a. Graph Foreigns production possibility frontier.b. Construct the world relative supply curve.3. Now suppose world relative demand takes the following form: Demand for apples>demand for bananas = price of bananas>price of apples.a. Graph the relative demand curve along with the relative supply curve.b. What is the equilibrium relative price of apples?c. Describe the pattern of trade.d. Show that both Home and Foreign gain from trade.4. Suppose that instead of 1,200 workers, Home has 2,400. Find the equilibrium relative price. What can you say about the efficiency of world production and the division of the gains from trade between Home and Foreign in this case?5. Suppose that Home has 2,400 workers, but they are only half as productive in both industries as we have been assuming. Construct the world relative supply curve and determine the equilibrium relative price. How do the gains from trade compare with those in the case described in problem 4? PLEASE HELP URGENTTTT