A very large gardening business grows rose bushes for sale to garden stores around the world. The most popular colors are red, pink, and white. The business decides on 50% red roses, 30% pink, and 20% white. A gardener orders 10 rose bushes selected randomly from a huge field. Her primary interest is in pink roses. A good model for the number of bushes with pink roses is given by the binomial distribution. Probability calculations are quicker when using the Normal approximation to the binomial distribution. Which of the following is false

a. The approximation requires np 10 and n(1 â p) 10.
b. The sample size here is too small to use the Normal approximation to the binomial.
c. The approximation requires np 30.
d. The Normal approximation works better if the success probability p is close to p = 0.5.

Answers

Answer 1

Complete options are;

a. The approximation requires np > 10 and n(1 - p) > 10.

b. The sample size here is too small to use the Normal approximation to the binomial.

c. The approximation requires np > 30.

d. The Normal approximation works better if the success probability p is close to p = 0.5.

Answer:

Option C is false

Step-by-step explanation:

Looking at the options,

In normal approximation to the binomial,

n is the sample size,

p is the given probability.

q = 1 - p

Now, one of the conditions for using normal approximation to the binomial is that; np and nq or n(1 - p) must be greater than 10.

This means that option A is true because we require np or n(1 - p) to be greater than 10.

From Central limit theorem, the sample size needs to be more than 30 for us to use normal approximation. Our sample is 10. Thus, option B is true.

The approximation doesn't require np > 30. Rather it's the sample size that needs to be more than 30. Thus, option C is false.

Generally, when the value of p in a binomial is close to 0.5, the normal approximations will work better than when the value of p is closer to either 0 or 1. The reason is that: for p = 0.5, the binomial distribution will be symmetrical. Thus, option D is correct.


Related Questions

i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

y=-3/4+1

Step-by-step explanation:

Goes three down, 4 right and intersects at 1 on y axis

Answer:

The answer is: y= -3/4x+1

If it's wrong than I'm sorry

2. What value of x makes the equation true? 1.7x - 7 = 1.2x +5 *
4.13
-4
24
2.9
I need help!

Answers

Answer:

24

Step-by-step explanation:

1.7x - 1.2x = 5 + 7

0.5x = 12

x = 24

- 2p + 8 = 6 - (7p + 7)

Answers

First you wanna use distributive property with the negative sign so it would look like this
-2p+8=6-7p-7
Then you want to at 7P to both sides
5p+8=6-7
Now you want to combine 6-1 and you get -1 and then you want to subtract it from both sides and it will look like this
5p=-9
Now divide both sides by five and you get your final answer
p=-9/5

Answer:

p=1

Step-by-step explanation:

first you need to get rid of the parenthesis

-2p+8=6-7p+7

then combine everything you can on their respective sides

-2p+8=13-7p

then get the variable on one side and for this, it can be done 2 different ways but both ways get the same answer

-2p+8=13-7p

+7p         +7p

5p+8=13

or

-2p+8=13-7p

+2p         +2p

8=13-5p

then, depending on which way you decide to solve it, you would then solve for x like you would in any regualar equation

first way shown above:

5p+8=13

    -8  -8

5p=5

divide them both by 5 and p=1

or the other way shown above

8=13-5p

-13  -13

-5=-5p

divide both sides by -5 and then p=1


Which option is equivalent to the expression above

Answers

C I’m not sure tho but mine was right

Solve for c.

ab + c = 5

c = 5/ab
c = 5 - ab
c = 5 + ab

Answers

ab=0
c=5
Doble check it tho
C=5/ab is what I think the answer is

If Susie finished her lunch at 1 PM and it took her 45 minutes to eat what time did she start eating lunch

Answers

12:15

Step-by-step explanation: 45+15=60

There a 60 minutes in an hour

I hope that helped

The initial population of a town is 4,100​, and it grows with a doubling time of 10 years. What will the population be in 8 ​years?

Answers

The answer :

3280

The explanation:

4100 = 10 years

____= 8

4100 /10= 410

410*8= 3280


Thx

I need help on this!

Answers

Answer:

A correctly shows the location of all the given values.

Step-by-step explanation:

The main difference can be found with the value -2 [tex]\frac{3}{4}[/tex]. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.

Hope this helps~!

Answer:

A

Step-by-step explanation:

A) -4, -2 3/4, 1/2 , 1 1/4

B) -4, -2 1/4, 1/2 , 1 1/4

C) -4, -1 1/4, 1/2, 2 1/4

D) -4, -1/2, 1/2, 2 3/4

the talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

Answers

Answer:

Students = 380

Adults = 150

Step-by-step explanation:

3x + 4y = 1740

and a total tickets equation of: x + y = 530

Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?

A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles

Answers

Answer:

D. 96 miles

Step-by-step explanation:

So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).

This adds up to 48 miles.

Then, we go back to City Hall, through the High School, which is 27 miles (15+12)

Then, we go to the Elementary School from City Hall, which is 21 miles.

Add up all the miles and you get:

48 + 27 +21 = 96

7W FEW DOWO
Puzzle Three
Solve the following problems about functions. Match the correct
solution in the code at the bottom to find the code word to
unlock puzzle two.
E. Determine if the
P. Write the equation for
following graph is linear or non the following function:
F. Determine if the
R. Write the equation for
following graph is linear or non- the following function:
linear
L. Write an equation that
shows the slope is 3 and the y
intercept is -2.
U. Find the rate of change
between the two ordered pairs
(3,6) and (5,7)
What is the slope of
0. Find the rate of change W.
between the two ordered pairs the line
(1,4) and (-3,-2)
Code:
4y = 8x + 1
linear
2
y = 3x - 2
y=-3x + 1
y = 5x +4 non
31
1
2
linear

Answers

Answer:

The crossword style worksheet has problems that provide a simplified answer for the puzzle. See more ideas about high school math, middle school math, ...

LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN= 4x + 3 and MP = 8x -9

X=

Answers

Solution:

We know that:

Given diagonals: LN and MPLN and MP must be equal because they are diagonals of LMNP.LN = 4x + 3MP = 8x - 9

Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9

Let's simplify the equation to find x.

Subtracting 4x both sides.

[tex]4x + 3 = 8x - 9[/tex]=> [tex]4x - 4x + 3 = 8x - 9 - 4x[/tex]=> [tex]3 = 4x - 9[/tex]

Add 9 both sides.

=> [tex]3 = 4x - 9[/tex]=> [tex]3 + 9 = 4x - 9 + 9[/tex]=> [tex]12 = 4x[/tex]

Divide 4 both sides.

=> [tex]12 = 4x[/tex]=> [tex]\frac{12}{4} = \frac{4x}{4}[/tex]=> [tex]x = 3[/tex]

Now, let's find the length of each diagonal.

[tex]LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units[/tex][tex]MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units[/tex]

Diagonals are equal

[tex]\\ \rm\Rrightarrow 4x+3=8x-9[/tex]

[tex]\\ \rm\Rrightarrow -4x=-12[/tex]

[tex]\\ \rm\Rrightarrow x=-12/-4[/tex]

[tex]\\ \rm\Rrightarrow x=3[/tex]

I need help plz help :(

Answers

Answer:

what

Step-by-step explanation:

tux really be chewing on da hair tho no cap

The sum of more than two consecutive whole numbers is always an odd number ? Give examples

Answers

If you sum these two numbers up, you get 2n + 1. 2n will always give you an even number. Adding a 1 to any even number will always give you an odd. Therefore, a sum of any pair of consecutive numbers is always odd.

Example, 4 + 5 = 9; –8 + (–7) = –15.

you start at (2, 4). You move down 4 units and up 4 units. Where do you end?

Answers

Answer:

(2, 4)

Step-by-step explanation:

the same spot because 2 - 4 = -2, and the back up -2 + 4 = 2. we do not move left or right so there is no need to change the y value of 4

Answer:

(2, 4)

Step-by-step explanation:

We are given the points (2, 4) and we are told to move down four units, and then up 4 units. Since it's up and down not left and right it's telling us that we are moving the point on the y axis, which is the four, now all we have to do is subtract four units, and then add four more units on the y axis.

4 - 4 + 4 = 4

Leaving the points unchanged, your answer is "(2, 4)."

Hope this helps.

3 x
Abigail keeps track of the number of pages she reads. Last year, she read 5,473 pages. The year before,
she read 2,379 pages. Select all of the choices that are good estimates by rounding to place values for the
total pages Abigail read over the two years.
A. 7,000
B. 7,500
C. 7.850
D. 7.900
E. 8,000

Answers

Answer:

A, C, and E I think

Step-by-step explanation:

Real answer=5473+2379=7852
Possible answers/estimates would be:
C
D
E

6th grade math I mark as brainliest

Answers

Answer:  21 units

Step-by-step explanation: Since the y-coordinates are the same, you need to find only the difference in the x-values.

Since one is positive and one is negative, (on different sides of the y-axis) you add the distances of each coordinate from there.

Or, remember that finding the difference between two numbers is a subtraction equation, and subtracting a negative is the same as adding a positive.

15 -(-6) = x

15 + 6 = x

21 = x

What compass heading represents 20° north of east?​

Answers

Answer:

45°

Step-by-step explanation:

Northeast (NE), 45°, halfway between north and east, is the opposite of southwest. Southeast (SE), 135°, halfway between south and east, is the opposite of northwest. Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.

Use the properties of the parallelogram drawn to find m

Answers

Answer:

photo not clear

Step-by-step explanation:

try re-upload the question

X+17>36 how would I solve this

Answers

Answer:

x > 19

Step-by-step explanation:

Hey there!

To solve this equation, you would solve it like any other equation.

Imagine that the inequality sign isn't there, and it's replaced with an equal sign. (I'm still going to use >, I just want you to pretend)

Solve:

x + 17 > 36

Subtract 17 from both sides

x > 36 - 17x > 19

That's it! there's your solution!

Remember this rule:

When dividing or multiplying by a negative number, flip the sign (from < to >, or from ≤ to ≥)

What is the ratio of 6 to 26 expressed as a fraction in the simplest form

Answers

Answer:

3/13

Just divide and u will get the answer

Answer:

3 : 13

Step-by-step explanation:

Given the ratio

6 : 26 ( divide both parts by 2 )

= 3 : 13 ← in simplest form

You take music lessons that cost $45 a month plus an additional amount for lessons during the month. If you spent $325 in music lessons in one month, how much did you spend on lessons? Select the equation and the solution (2 answer choices).
Group of answer choices

45 + n = 325

45n = 325

$280

$7.22

Answers

Answer:

45 + n = 325

n = $280

Step-by-step explanation:

total cost = monthly cost plus the cost of lessons

total cost = $325

monthly cost = $45

number of lessons = 'n'

45 + n = 325

n = 280

find the area of the shape A B C D
find the perimeter of the shape A B C D
find the area and perimeter of the shape DBC

Answers

Answer:

ABCD = 9cm²

BCD =7.5cm²

perimeter of abcd = 25.8cm

(8x-20) (5x+37) apply angle theorem find x

Answers

Value of x = 19

(8x - 20) = (5x + 37)
3x = 57
x = 19

The essential difference between an experiment and an observational study is that:

a. Observational studies may have confounded variables, but experiments never do.
b. In an experiment, people must give their informed consent before being allowed to participate.
c. Observational studies are always biased.
d. Observational studies cannot have response variables.
e. An experiment imposes treatments on the subjects, but an observational study does not.

Answers

Answer: e. An experiment imposes treatments on the subjects, but an observational study does not.

Step-by-step explanation:

Experiment is scientific procedure that is undertaken by an individual or a researcher in order for the person to either make a discovery, or test a hypothesis.

Observational studies are the studies whereby the researchers just observe the impact of a treatment or risk factor e.g. cohort studies. In observational study, the researchers just collect data based on what they've either heard or seen and they've no control over such variables collected whole for an experiment, treatments are applied to a group and the effects are recorded.

HELPPP ASAP PLS

Identify the relationship between the two angles below. Select ALL that
apply.

Congruent Angles

Vertical Angles

Linear Pair Angles

Adjacent Angles

Supplementary Angles

Complementary Angles

Answers

Answer:

adjacent, linear pair, supplementary

Step-by-step explanation:

adacent because they are angles side by side

linear because the angles create a straight line

supplementary because the angles equal 180 degrees

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?

Answers

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

Answer:

10 meters per 1/3 second equals

30 meters per second and multiplying this by 60 makes it

900 meters per minute or .9 kilometers per minute

multiplying this by 60 makes it

54 kilometers per hour

Step-by-step explanation:

How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?

Answers

Answer:

[tex]15-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}[/tex]

Need help really please

Answers

Answer:

its below

Step-by-step explanation:

Part A: 52.29

Part B: the top box is 52.29, the longer box under is 34. 80 and the smaller one is 17.49

i’m sorry but i don’t know the answer , i just need to answer a question so i can post MY questions

Temperature
(°F)
Chicago
-6
Orlando
71
Montreal
-18
Springfield
36
Fairbanks
-32
By noon, the temperature in Fairbanks had risen by 21 °F.
What was the temperature there at noon?
1 OF
(b)
How much higher was the 6 a.m. temperature in Orlando than in Chicago?
°F higher

Answers

Answer:

Fairbanks had a temperature of 11 degrees Fahrenheit at noon.

The 6 am temperature in Orlando was 77 degrees higher than in Chicago.

Step-by-step explanation:

77 degrees higherrrrrrrrrrr
Other Questions
Fill in the blanks with its definition or description. a. _________ The point in a titration when the added amount of standard reagent is equal to the amount of analyte being titrated. b. _________The analyte is titrated with the standard reagent and the volume of standard solution required to complete the reaction is measured. c. _________A reagent that is pure and stable, which can be used directly after weighing. d. _________The analyte that is being analyzed in the titration. e. _________Standard reagent is added in excess to ensure complete reaction with the analyte. f. _________The excess reagent is then titrated with a second standard reagent. g. _________A solution, whose concentration is known, often made from a reagent of known purity. h. _________The standard reagent of known concentration that is added from a buret to the analyte solution. i. _________The analyte does not react directly with the titrant so it is converted to another form which will react with the titrant. j. _________The point in a titration when a change in the analyte solution is observed, indicating equivalency. k. _________It is added to the analyte solution and aids in the observation of the completion of the reaction. which steps should we take to make our nation patriotic Can someone please help me? :( Need help on this question ASAP PLEASEE and thank you!! (: Which statement is not true about the data shown by the box plot below? Use > , < , or = to compare the numbers below:49 ____ 49 The radius of a circle is 111 units.What is the diameter of the circle? khan academy Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222.... Answer parts a and b. a. Write this number as a fraction. Which sentence contains a synonym clue for its underlined word?The scarlet bird visited our bird feeder every day.The class used the scraps in their weekly art project.The serious speech left the audience in a somber mood.The child moved, but he was supposed to remain stationary. Convert the equation into Slope-Intercept Form: x - y = 11 What property of Earth's interior causes the S-waves to stop at 2900 km, but allows the P-wavesto continue? (Please answer in complete sentences. 2 points for property of Earth's interior and 2points each for how this relates to P-waves and S-waves) Terrel is designing and maintaining a web page for a local company. In which career pathways would Terrel be involved? Programming and Software Development, and Network Systems Network Systems and Interactive Media Information Support and Services, and Programming and Software Development Interactive Media, and Information Support and Services. PLS HELP What was the main issue of concern in the 1800s between the federal and state governments? A.) ownership of land in the west B.) National verse state banks C.) control over slavery D.) trade between states What does it mean to say that mass is conserved during a physical change Jeffrey has a fish tank that holds 8 L of water he already has a tank filled with one liter of water how many more liters of water does free need to complete feel the fish tank From the film "The Rise of the Third Reich", what did Hitler do with the Blutfahne? PLEASE HELP THIS IS DUE IN 10 MINUTESHow would you solve for x?11,928/1,988 = x/1 Do you think you are a "left-brained" or "right-brained" person? Why do you think this? Use detailsfrom the picture and chart to explain your reasoning. #9 find the slope in the graph MULTIPLE CHOICE 1. Growing your own vegetable garden has many benefits. You will have access to the freshest vegetables. Never again will you needto stand in line to pick up a bruised and tasteless tomato from your local grocery store. You will also have total control over the use ofchemicals on your produce. If you choose, you can have completely organic vegetables with only water to help them grow. There areother health benefits to gardening as well. You will get exercise while you tend the garden.a. What is the topic b. Summary:Could someone please answer A and B for me I cant figure out what to put for these