Helppp I need the ending numbers ?

Helppp I Need The Ending Numbers ?

Answers

Answer 1

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

To learn more on Equation:

brainly.com/question/10413253

#SPJ1


Related Questions

100 POINTS!!! PLS ANSWER ASAP
The number of toys owned by eight classmates is shown below:

4, 3, 4, 5, 6, 6, 8, 4

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Answer:

the answer for part A is. 5

the absolute deviation is. 1

Step-by-step explanation:

to find the answer for part A add all numbers and divide it by 8

4+3+4+5+6+6+8+5/840/85 is the answers

For part B

4-5= |-1|= 1

3-5= |-2|= 2

4-5= |-1| =1

5-5= |0| =0

6-5= |1 | =1

6-5= |1 | =1

8-5= |3| =3

5-5= |0| =0

Then add all the number and divided them by 8

1+2+1+0+1+1+3+0/89/89/8 is the answer

MAY I GET BRAINLIEST

The table below shows information about the thickness of each of the books on a shelf. Work out an estimate for the mean book thickness. Give your answer as a decimal. Thickness, x (mm) 0< x≤2 2< x≤4 4< x≤6 Frequency 4 9 7​

Answers

Answer:

3.2mm

Step-by-step explanation:

Answer:

3.2mm

Step-by-step explanation:

Find the area and perimeter of the figure. (Hint: Don't forget your units!)
8cm
1
1
5cm
6cm

Answers

Answer:

Area of parallelogram:

8 × 5 = 40 square centimeters

Perimeter of parallelogram:

2(8 + 6) = 2 × 14 = 28 centimeters

please help me with this

Answers

Answer: okay ill help

Step-by-step explanation:

please help me yalll​

Answers

Answer:

13

Step-by-step explanation:

210+50 is the total number of miles that can be driven. This adds up to 260. 260 divided by 20 is miles per gallon, which equals 13.

Probability Skill Check
DOOR Numbers
1
2
3
4
5
Coloured Blue, Red, Yellow and Green

What is the probability you will sit in a yellow seat? Give your answer as a fraction.
1/4
But what is the probability you will enter using an odd numbered door and sit in a green seat? Give your answer as a fraction.

Answers

The probability you will enter using an odd numbered door is 3/5, since there are three odd-numbered doors out of a total of five doors.

The probability you will sit in a green seat is 1/4, since there is one green seat out of a total of four seats.

To find the probability of both events occurring, you can multiply the two probabilities:

3/5 x 1/4 = 3/20

So the probability you will enter using an odd numbered door and sit in a green seat is 3/20.

18.What is the perimeter of a rhombus if the length of one side is 8cm?


Answers

In a rhombus, all sides have the same length. Therefore, if one side of a rhombus is 8cm, then all sides are 8cm.

The perimeter of a rhombus is the sum of the lengths of all four sides. Since all sides of this rhombus are 8cm, the perimeter is:

4 x 8cm = 32cm

Therefore, the perimeter of the rhombus is 32cm.

A bag has 4 brown marbles and 12 yellow marbles. Half of the yellow marbles are made of glass. A marble is selected at random from the bag. What is the
probability that it is a yellow, glass marble?
Write your answer as a fraction in simplest form.
9

Answers

Answer:  3/8.

Step-by-step explanation: f 4 + 12 = 16,   12 / 2 = 6, 6 / 16 = 3 / 8

Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41​

Answers

As per the given percentage, the value of the loan 10 years after it starts is £4506.32.

We know the values of P and A for the first two years. So, we can use these values to find the value of r. Let's use the formula for the first year:

2645 = 2500(1 + r/1)¹ˣ¹

Simplifying the equation, we get:

1 + r = 2645/2500

1 + r = 1.058

r = 0.058 or 5.8%

Therefore, the interest rate per annum is 5.8% (to 1 decimal place).

Now, let's move on to finding the value of the loan after 10 years. We can use the same formula for compound interest, but we need to substitute the values of P, r, n, and t accordingly. Here's the formula:

A = P(1 + r/n)ⁿˣ

Where:

P = 2500

r = 0.058

n = 1 (as the interest is compounded annually)

x = 10

Substituting these values, we get:

A = 2500(1 + 0.058/1)¹ˣ¹⁰

A = 2500(1.058)¹⁰

A = 4506.32

To know more about percentage here

https://brainly.com/question/13729841

#SPJ1

diego is buying a pumpkin that weighs 12.8 pounds. pumpkins cost $0.60 per pound. how much will diego pay for his pumpkin

Answers

As pumpkins cost $0.60 per pound Diego will pay $7.68 for his pumpkin.

To find out how much Diego will pay for his pumpkin, we need to multiply the weight of the pumpkin by the cost per pound:

Cost = weight × cost per pound

In this case, the weight is 12.8 pounds and the cost per pound is $0.60:

Cost = 12.8 pounds × $0.60/pound

Simplifying the expression, we get:

Cost = $7.68

Therefore, Diego will pay $7.68 for his pumpkin.

For more details regarding cost, visit:

https://brainly.com/question/30045916

#SPJ1

Ferrese
2. (errencer feld acceed
rest
As and ove rect
The x-coordinate of 4s recex is 45
The x-ceerdinate of is rectex is
The coordinate os recex 45
he rease othe reser at

Answers

The true statements are

Its x-intercepts are (0,0) and (11,0)The x-coordinate of its vertex is 5.5

How to find the true statements

To find the true statements about the graph that represents y = -2x(x - 11), we need to analyze the equation and its properties.

x-intercepts by setting y = 0 and solving for x:

form the equation we have y = -2x(x - 11)

0 = -2x(x - 11)

0 = x(x - 11)

x = 0

x = 11

The x-intercepts are at (0,0) and (11,0).

Now let's find the vertex of the parabola. The vertex is located at the x-coordinate x = -b / 2a,

y = -2x^2 + 22x

given that

a = -2,

b = 22

x coordinate of the vertex is found by

= -22 / (2 * -2)

= 22 / 4

= 5.5

so we can say that  the true statement is: The x-coordinate of its vertex is 5.5

Learn more about parabola

https://brainly.com/question/29635857

#SPJ1


What is the density of a billiard ball with a radius 1.5 inches and a mass of 250g?

Answers

Answer: The density of the billiard ball is 6.67 g/cm^3.

Step-by-step explanation:

-4/3, 1, -4/5, -2/3, -4/7

what is the explicit rule for this sequence

Answers

The explicit rule for the sequence -4/3, 1, -4/5, -2/3, -4/7 is -4(2 + n)

Finding the explicit rule for the sequence

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

-4/3, 1, -4/5, -2/3, -4/7

In the above sequence, we can see that 1 is added to the denomiator of the previous term to get the new term

Take for instance

2nd = -4/(3 + 1) = -1

3rd = -4/(3 + 2) = -4/5

4th = -4/(3 + 3) = -4/6 = -2/3

4th = -4/(3 + 7) = -4/7

Hence, the explicit rule is -4(2 + n)

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

a doctor has 7 patients to visit how many different ways can she make her rounds if she visits each patient only once

Answers

There is only one way for the doctor to visit all seven patients exactly once.

A combination is a way of selecting items from a larger set, where the order of the items is not important. In this problem, we need to select seven patients out of a larger set of seven patients, so we can use the formula for the number of combinations of n items taken r at a time:

C(n,r) = n! / (r!(n-r)!)

where n is the total number of items, r is the number of items to be selected, and the exclamation mark represents the factorial function.

In this case, we need to find the number of combinations of 7 patients taken 7 at a time, which can be written as:

C(7,7) = 7! / (7!(7-7)!) = 7! / (7!0!) = 1

The order in which she visits the patients does not matter since each patient is visited only once.

To know more about combination method here

https://brainly.com/question/28998705

#SPJ1

Jonna is sewing a front cover for a circular pillow. The pillow has a diameter of 15 inches. To sew the front cover, she must cut the fabric two inches wider than the pillow all the way around. What is the minimum area, in square inches, of the piece of fabric she will use?

Answers

Answer:

Step-by-step explanation:

To determine the minimum area of the piece of fabric Jonna needs, we need to calculate the diameter of the circle after adding 2 inches to the radius.

The radius of the pillow is half its diameter, which is 15/2 = 7.5 inches.

When Jonna adds 2 inches to the radius, the new radius becomes 7.5 + 2 = 9.5 inches.

The diameter of the circle with the new radius is 2 x 9.5 = 19 inches.

Therefore, Jonna needs to cut a circular piece of fabric with a diameter of 19 inches.

To calculate the minimum area of the fabric, we need to use the formula for the area of a circle:

Area = π x (radius)^2

The radius is 9.5 inches, so:

Area = π x (9.5)^2

Area = π x 90.25

Area ≈ 283.77 square inches

Therefore, Jonna needs a piece of fabric with a minimum area of approximately 283.77 square inches.

PLEASE HELP (WILL GIVE BRAINLIEST

Answers

Answer:

cm^3 can be used to represent volume.

wo ships, the Queen Elizabeth and the Queen Mary, are parallel to the shore and 35 km apart. How far is each ship from a lighthouse if the Queen Elizabeth is at an angle of 68° and the Queen Mary is at an angle of 45° to the lighthouse

Answers

We can use trigonometry to solve this problem. Let's call the distance from the lighthouse to the Queen Elizabeth "x" and the distance from the lighthouse to the Queen Mary "y". Then, we can set up two equations based on the angles given:

tan(68°) = x/d, where d is the distance from the lighthouse to the Queen Elizabeth.

tan(45°) = y/d, where d is the distance from the lighthouse to the Queen Mary.

To solve for x and y, we need to eliminate d. We can do this by solving the second equation for d and substituting into the first equation:

d = y/tan(45°)

tan(68°) = x/(y/tan(45°))

Simplifying this expression, we get:

x = y * tan(68°) / tan(45°)

Now we can substitute the given distance between the ships to solve for y:

y + y * tan(68°) / tan(45°) = 35

Solving for y, we get:

y = 35 / (1 + tan(68°) / tan(45°)) = 12.6 km

Now we can use the equation for x to find the distance from the lighthouse to the Queen Elizabeth:

x = y * tan(68°) / tan(45°) = 18.2 km

Therefore, the Queen Elizabeth is 18.2 km from the lighthouse, and the Queen Mary is 12.6 km from the lighthouse.

Find the mean absoulute deviation for the following data 6,7,10,12,13,4,8,12

Answers

Answer:

2.75

Step-by-step explanation:

To find the mean absolute deviation for a set of data, we first need to find the mean (average) of the data set. Then, for each data point, we find the absolute value of the difference between the data point and the mean. Finally, we take the mean of those absolute differences.

Step 1: Find the mean

Mean = (6+7+10+12+13+4+8+12)/8 = 72/8 = 9

Step 2: Find the absolute differences

|6-9| = 3

|7-9| = 2

|10-9| = 1

|12-9| = 3

|13-9| = 4

|4-9| = 5

|8-9| = 1

|12-9| = 3

Step 3: Find the mean of the absolute differences

Mean absolute deviation = (3+2+1+3+4+5+1+3)/8

Mean absolute deviation = 22/8

Mean absolute deviation = 2.75

Therefore, the mean absolute deviation for the given data set is 2.75.

A figure has a area of 25 units^2. what will the new area be after a dilation with a scale factor of 4 ?

Answers

The new area of the figure after the dilation with a scale factor of 4 will be 400 units²

We have,

When a figure is dilated by a scale factor of k, its area is multiplied by k².

So,

If the original area of the figure = 25 units²

Dilated by a scale factor = 4

The new area.

= (4²)(25 units²)

= 16(25 units²)

= 400 units²

Therefore,

The new area of the figure after the dilation with a scale factor of 4 will be 400 units².

Learn more about dilations here:

https://brainly.com/question/13176891

#SPJ1

Of the people who fished at Clearwater Park today, 72 had a fishing license, and 8 did not. Of the people who fished at Mountain View Park today, 63 had a license, and 27 did not. (No one fished at both parks.)

Answers

We can use the information given in the problem to create a table:

| | Fishing License | No Fishing License |
| ------------- | -------------- | ------------------ |
| Clearwater | 72 | 8 |
| Mountain View | 63 | 27 |

To find the total number of people who fished at both parks, we can add up the number of people with a fishing license at each park:

72 + 63 = 135

Therefore, a total of 135 people fished at both parks today.

A virus takes 18 days to grow from 160 to 240. How many days will it take to
grow from 160 to 600? Round to the nearest whole number.

Answers

The virus will thus increase from 160 to 600 in around 10 days.

What is virus ?

A virus is a submicroscopic infectious agent that only reproduces inside of an organism's live cells.

We can resolve this issue using a proportion. Let x be the period of time needed for the virus to multiply from 160 to 600. Then: (240 - 160) / 18 = (600 - 160) / x

This equation may be written as

80/18 = 440/x.

Cross-multiplying:

80x = 18 * 440

80 divided by both sides yields x = 9.9

We obtain x = 10 by rounding to the next full value.

Therefore, The virus will thus increase from 160 to 600 in around 10 days.

Learn more about proportion here : brainly.com/question/12024093

#SPJ1

The large solid below is made from small cubes. Each has a side length of 1/5. Answer the questions below. Write your answers in simplest form. (c) What is the volume of the large solid?

Answers

The volume of the large solid is equal to 8/25 cm³.

How to calculate the volume of a cube?

In Mathematics, the volume of a cube can be calculated by using the following formula:

V = m³

Where:

V represents the volume of a cube.m is the side lengths of a cube.

By substituting the given points into the formula for the volume of a cube, we have the following;

Volume of cube, V = m³

Volume of cube, V = (1/5)³

Volume of cube, V = 1/125 cm³.

For the volume of the large solid, we have:

Volume of large solid = 5 × 2 × 4 × 1/125

Volume of large solid = 8/25 cm³.

Read more on volume of a cube here: brainly.com/question/25248189

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Pls help me understand this

Answers

The radius of the circle is 36 centimetres.

The circumference of the circle is  75.36 centimetres.

How to find radius and circumference of a circle?

Let's find the radius of the circle with 20 degrees arc and length of 4π centimetres.

Length of an arc = ∅ / 360 × 2πr

where

r = radius∅ = central angle

Therefore,

Length of an arc  = 20 / 360 × 2 × π × r

4π = 40πr / 360

4π = 1 / 9 πr

cross multiply

πr = 36π

divide both sides by π

r = 36 centimetres

radius = 36 centimetres

b.

The equilateral triangle is inscribed in the circle. Therefore, the circumference of the circle can be found as follows:

The radius of the circle can be found using trigonometric ratios as follows:

The radius is an angle bisector. Hence,

sin 30 = opposite / hypotenuse

0.5 = 6 / r

cross multiply

r = 6 / 0.5

r = 12 centimetres

Lets' find the circumference,

circumference of the circle = 2πr

circumference of the circle = 2 × π × 12

circumference of the circle = 24 × 3.14

circumference of the circle = 75.36 cm

learn more on circle here: https://brainly.com/question/11137975

#SPJ1

URGENT STATISTICS AND PROBABILITIES

Answers

Answer:

the expected point value is -1/5, so it is not advantageous to guess.

Step-by-step explanation:

1(1/5)+(-1/2)(4/5)

1/5-2/5

-1/5

What does the song reveal about the goals of the Nazi Party?

Answers

Adolescents who loved jazz and were drawn to American, British culture in general, as well as conformity and discipline in the army, made up the swing youths in Nazi Germany.

Germany saw significant turmoil in politics in the late 1930s as a result of Hitler's ascension to power and the real-world consequences of his virulent anti-Semitism.

He described how in the Nazi era, there were groups of young people in Vienna who would get together in private, dancing to American bounce music, and express opposition to the brutal Nazi reality through their behavior and attire.

Learn more about Nazi Party, here:

https://brainly.com/question/24040193

#SPJ1

The question is incomplete, Complete question probably will be:

What does the song Swing Heil reveal about the goals of the Nazi Party?

find sin 75 without using a calculator

Answers

The value of sin 75 without using a calculator is 1/4(√2 +√6)

Finding sin 75 without using a calculator

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

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

Read mroe about trigonometry function at

https://brainly.com/question/24349828

#SPJ1

X squared minus 14 minus 4x

Answers

The factor form of the given expression is [tex]x^2 - 14 - 4x = (x - 4)(x - 14).[/tex]

To factor the expression x^2 - 14 - 4x, we can use the technique of grouping.

First, we can rearrange the terms as:

x^2 - 4x - 14

Next, we can factor out a common factor of x from the first two terms:

x(x - 4) - 14

Then, we can factor out a negative 1 from the last two terms:

x(x - 4) - 1(14)

Finally, we can write the expression as the product of two binomials:

(x - 4)(x - 14)

Therefore, the factored form of x^2 - 14 - 4x is (x - 4)(x - 14).

For more details regarding factorization, visit:

https://brainly.com/question/14549998

#SPJ1

Val's whole-house central air conditioner uses 4,000 watts when running. Val runs the AC 7 hours per summer day. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?

Answers

The electricity cost for the Val's AC to run for a summer month of 30 days is $84.

Given that,

Val's whole-house central air conditioner uses 4,000 watts when running.

Val runs the AC 7 hours per summer day.

Electricity costs (10 cents)/(1 kilowatt-hour).

Total electricity used for the whole house = 4000 watts = 4 kilowatts

Number of hours that the AC runs = 7 hours

Cost of electricity = (10 cents)/(1 kilowatt-hour).

Cost of electricity for 4 kilowatts for 1 hour = 10 × 4 = 40 cents

Cost of electricity for 4 kilowatts for 7 hours = 40 × 7 = 280 cents

                                                                                       = $2.80

Cost of electricity for a summer month of 30 days = $2.80 × 30

                                                                                   = $84

Hence the total cost for the electricity is $84.

Learn more about Electricity Cost here :

https://brainly.com/question/28800300

#SPJ1

The entries in Table I are the probabilities that a random variable having the standard normal distribution will take on a value between 0 andz. They are given by the area of the gray region under the curve in the figure. TABLET NORMAL-CURVE AREAS 2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.2257 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4648 0.4719 0.4778 0.6 0.7 0.8 0.9 1.0 0.2580 0.2881 0.3159 0.3413 0.2324 0.2642 0.2939 0.3212 0.3461 0.2422 0.2734 0.3023 0.3289 0.3531 0.2454 0.2764 0.3051 0.3315 0.3554 0.2517 0.2823 0.3106 0.3365 0.3599 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 1.1 1.2 1.3 1.4 1.5 0.3749 0.3944 0.4113 0.4265 0.4394 0.3770 0.3962 0.4131 0.4279 0.4406 0.3810 0.3997 0.4162 0.4306 0.4429 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4725 0.4783 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 1.6 1.7 1.8 1.9 2.0 0.450S 0.4599 0.4678 0.4744 0.4798 0.4515 0.4608 0.4685 0.4750 0.4803 0.4525 0.4616 0.4692 0.4756 0.4808 0.4535 0.4625 0.4699 0.4761 0.4812 2.1 2.2 2.3 2.4 2.5 0.4826 0.4864 0.4896 0.4920 0.4940 0.4830 0.4868 0.4898 0.4922 0.4941 0.4834 0.4871 0.4901 0.4925 0.4943 0.4850 0.4884 0.4911 0.4932 0.4949 0.4854 0.4887 0.4913 0.4934 0.4951 0.4857 0.4890 0.4916 0.4936 0.4952 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0.4842 0.4846 0.4878 0.4881 0.4906 0.4909 0.4929 0.4931 0.4946 0.4948 0.4960 0.4961 0.4970 0.4971 0.4978 0.4979 0.4984 0.4985 0.4989 0.4989 2.6 2.7 2.8 2.9 3.0 0.4955 0.4966 0.4975 0.4982 0.4987 0.4956 0.4967 0.4976 0.4982 0.4987 0.4957 0.4968 0.4977 0.4983 0.4988 0.4962 0.4972 0.4979 0.4985 0.4989 0.4963 0.4973 0.4980 0.4986 0.4990 0.4964 0.4974 0.4981 0.4986 0.4990 Also, for 3 - 4.0, 5.0 and 6.0, the areas are 0.49997, 0.4999997, and 0.499999999. ^ The entries in Table II are values for which the area to their right under the 1 distribution with given degrees of freedom (the gray area in the figure) is equal toa. TABLE II VALUE OF d.f. Fo.050 os 0.005 d.. 63.657 9.925 1 2 3 4 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 0.010 31.821 6.965 4.541 3.747 3.365 1 2 3 4 5.841 4.604 4.032 S S 6 7 6 7 8 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 8 9 9 10 10 11 12 1.796 1.782 1.771 1.761 1.753 13 14 15 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 11 12 13 15 16 16 17 18 19 20 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 17 18 19 2.539 2.528 20 21 22 23 24 25 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 21 22 23 24 25 2.492 2.485 2.056 2.052 26 27 28 29 Inf. 1.706 1.703 1.701 1.699 1.645 2.479 2.473 2.467 2.462 2.326 2.779 2.771 2.763 2.048 26 27 28 29 Inf. 2.045 2.756 2.576 1.960 Question 2 (20 marks) A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 7 5 15 8 10 3 9 A report presented by this tutorial school 5 years ago indi that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part (a) is constructed at 99% instead of 95%, would the interval be (1) wider, (II) narrower, or (III) no change in width? (State your answer, no explanation is needed in part (C).)

Answers

What is the probability that a random variable having the standard normal distribution will take on a value between 0 and 2?

From the table, the area between 0 and 2 under the standard normal distribution curve is 0.4772. Therefore, the probability that a random variable having the standard normal distribution will take on a value between 0 and 2 is 0.4772.

Which of the following table represents probability distribution

Answers

Answer:

b

Step-by-step explanation:

Other Questions
Having a cat is like having a best friend.A.) MetaphorB.) simileC.) analogyD.) personification You are compounding a chemotherapy medication, and you drop a vial on the ground. The liquid spills everywhere. What should you do next?Select one:Grab the SDSIsolate the areaPour water on the liquidSoak up the liquid with a towel A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 25 pounds each. The small boxes weigh 50 pounds each. There are 105 boxes in all. if the truck is carrying a total of 3,875 pounds in boxes, how many of each type of box is it carrying? the only way for a csma/cd protocol transmitter to determine if there was a collision is if the receiver does not send an acknowledgment\ Health Care in Germany Do some research on health care in Germany. Write a paragraph in German about what you have learned about the German health care system. Include the following points in your response: German peoples' opinions about their health care system the quality of health care in Germany comparisons between health care in the United States and health care in Germany. positive aspects of the German health care system HAART is a combo of how many drugs in half/full strength? Identify each ad's source and summarize its message. Describe how each advertisement attempts to persuade its audience to purchase a product or service. When a business's expenses are greater than its revenues, the business is operating at a(n) which is the most widely used political and economic system in the world today?a.) socialsimb.)capitalismc.)commandd.)communism the following figures give the approximate distances of five galaxies from earth. rank the galaxies based on the speed with which each should be moving away from earth due to the expansion of the universe, from fastest to slowest.a.5 billion light-years, b.2 billion light-years, c.800 million light-years, d.230 million light-years, e.70 million light-years please help me choose which one it is 11. The COVID vaccine drive-up clinic vaccinated 37 people of Monday, 52 people onTuesday, 18 people on Wednesday, 45 people on Thursday, and 48 people onFriday. How many people were vaccinated in all over these 5 days? Sketch the Bode plots for H( jw) = 0. 2(10+ jw) /jw(2+ jw) At 25C, HI breaks down very slowly to form H2 and I2. The rate law is given by rate = k[HI]2 and k at 25C is 2.4 10-21 L/mols. If 0.0100 mol of HI (g) is placed in a 1.0-L container, how long will it take for the concentration of HI to reach 0.00900 mol/L? Using a vibrating fork, the nurse will perform the Rinne test to assess the patient's hearing. Where will the nurse place the tuning fork to assess for bone conduction of sound? Summary on book sold The line plot represents the afterschool activities at 15 middle schools.A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.Which statement best describes the spread and distribution of the data? The data is symmetric with an approximate range of 24. The most frequent number of activities was 16, which might mean about half of each class participated. The data is skewed with an approximate range of 24. The most frequent number of activities was 10, which might mean there are 10 different sports and clubs for middle school students that are the most popular. The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity. The data is symmetric with an approximate range of 24. The most frequent number of activities was less than 10, which might mean that the schools do not have funding for the activities. A client is paralyzed on the right side. The nurse aid should place the signaling device. (A) on the left side of the bed near the client's hand. (B) on the right side of the bed near the client's hand. (C) under the pillow. (D) at the foot of the bed. Describe ways in which you have felt "colonized," or that people in a position of power or authority were not looking out for your best interests. (3-5) sentence HOMEWORK 20 Consider the Pareto optimization problem Vmax (2x + 3y, 25-5y) x,y s.t. 0