1) Complete the table
2) find the mean of the random variable x. Use the formula in the photo

1) Complete The Table2) Find The Mean Of The Random Variable X. Use The Formula In The Photo

Answers

Answer 1

Answer:

a. Please check the explanation for filling of the empty column on the table

b. The mean of the random variable x is 7/11

Step-by-step explanation:

a. Firstly, we are concerned with completing the table.

To do this, we simply need to multiply the values in the column of x by the values in the column of p(x)

Thus, we have the following;

2. 3 * 2/36 = 6/36

3. 4 * 3/36 = 12/36

4. 5 * 4/36 = 20/36

5. 6 * 5/36 = 30/36

6. 7 * 6/36 = 42/36

7. 8 * 5/36 = 40/36

8. 9 * 4/36 = 36/36

9. 10 * 3/36 = 30/36

10. 11 * 2/36 = 22/36

11. 12 * 1/36 = 12/36

b. We want to find the mean of the random variable x.

All what we need to do here is add all the values of x•P(x) together, then divide by 11.

Thus, we have

(2/36 + 6/36 + 12/36 + 20/36 + 30/36 + 42/36 + 40/36 + 36/36 + 30/36 + 22/36 + 12/36)/11

Since the denominator is same for all, we simply add all the numerators together;

(252/36) * 11 = 252/396 = 63/99 = 7/11


Related Questions

Which models show 60%? Check all that apply.

Answers

Answer:

OPTION A AND B.

AS OPTION A IS 3/5=6/10=60%

Option C=60/100=60%

Answer:

the first and the last option

Step-by-step explanation:

In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%

3/5 = 0.6

0.6 = 60%

*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*

in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%

5/10 = 1/2 = 0.5 = 50%

in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%

6/10 = 0.6 = 60%

hope this helps! if you have any questions, let me know!

Two families go to a shake shack. The Johnsons order four fires and six cheeseburgers for $52. The Liauttads order three fries and two cheeseburgers and pay $24. How much is a cheeseburger?


Show work please! :)

Answers

4 fries + 6 cheeseburgers = $52

3 fries + 2 cheeseburgers = $24

9 fries + 6 cheeseburgers = $24×3

= $72

$72-$52=$20

5 fries = $20

1 fries = $20÷5

= $4

1 cheeseburger = [$24 - (3×$4)]÷2

= $6

Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?

pls explain, thanks!!!!​

Answers

C.P. = $95000

S.P. = $280000

a. Profit

= S.P. - C.P.

= $280000 - $95000

= $185000

b. Let the profit% of C.P. be x.

(x/100) × $95000 = $185000

=> x/100 = $185000/$95000

=> x/100 = 37/19

=> x = (37/19) × 100

=> x = 3700/19

=> x = 194 14/19

So, profit percent of buying price is 194 14/19%.

c. Let the profit% of S.P. be x.

(x/100) × $280000 = $185000

=> x/100 = $185000/$280000

=> x/100 = 37/56

=> x = (37/56) × 100

=> x = 3700/56

=> x = 925/14

=> x = 16 1/14

So, profit percent of selling price is 16 1/14%.

d. Buying price percentage profit sounds better as far as Ella is concerned.

HCF of algebraic expression x square minus y square and x y minus y square. ​

Answers

Answer:

(x-y+z)(x-y-z)

Given (x²-2xy+y²) - z²

= (x-y)² - z²

/* By algebraic identity

a²-2ab+b² = (a-b)² */

=[(x-y)+z][(x-y)-z]

/* a²-b² = (a+b)(a-b) */

= (x-y+z)(x-y-z)

Therefore,

(x²-2xy+y²)-z² =(x-y+z)(x-y-z)

Step-by-step explanation:

x

2

y

2

=x×x×y×y

xy

2

=x×y×y

h.c.f=xy

2

plz help asap i only have limited time i will give brainliest

Answers

Answer:

The answer is none.

Step-by-step explanation:

BecauseSide of the square is greater than breadth of rectangle. Answer: How can this be possible? Side of any square cannot be more than breadth of rectangle unless and until the square is bigger than the rectangle.Side of the square can be greater than length of triangle:  Answer: Not at all possible. How can the length of a square be greater than the length of a rectangle? then the square would no longer have the same sides. And as i said before, squares cant be long unless and until they are bigger than the rectangle.

Hope this helps....

Have a nice day!!!!

A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle?

Answers

Answer:

Perimeter = 32 meters

Step-by-step explanation:

1 meter = 1m = 100 cm = 100 centimeters

400cm = 400/100 = 4 meters

Rectangle Perimeter = 2(legth + width)

                                   = 2(12 + 4)

                                   = 2*16

                                    = 32 meters

Find the coordinates of the midpoint of the segment given its endpoints.
3. A (5, 8 ) and B(-1,-4)​

Answers

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )

Which regular polygon can be used to form a tessellation?




I need help

Answers

Answer:

The regular polygon that can be used to form a regular tessellation are the equilateral triangle a square and a regular hexagon

the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat

Answers

Answer:4.2 cups

Step-by-step explanation:

Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest

Answer:

4.2 cups

Step-by-step explanation:

I am in the assiment and i just got it right on the assiment

Simplify.
Remove all perfect squares from inside the square root.
V63 =

I need the answer ASAP can anyone help?

Answers

Answer: [tex]3\sqrt{7}[/tex]

3*sqrt(7)

3 times the square root of 7

====================================================

Explanation:

I'm assuming the V stands for square root. You can write sqrt(63).

[tex]\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}[/tex]

The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]

Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?

Answers

Answer:

48 different ways

Step-by-step explanation:

To solve this question, we use the Fundamental Counting Principle technique.

Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.

If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z

For the above question, we have 3 events

Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)

Event 2: 3 subjects ( Math, Reading, And Science)

Event 3 : 4 tutors.

Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:

= 4 × 3 × 4

= 48 different ways

Question 12
What is the value of x in the following equation?
2/3x + 2 = 4



Answers

X=3

Step by step solution-
You subtract both sides by 2,
2/3x= 2

Then divide both sides by 2/3 to isolate the x.

2/ (2/3) = 3

Therefore, x=3

Your skateboard ramp is 2 3/8 feet high. Your friend's skateboard is 2 2/5 feet high. which skateboard is higher?

Answers

Answer:

2-3/8  =  2.375

2-2/5  =  2.4

2.4 - 2.375  =  0.025

Your friend's skateboard ramp is 0.025 foot higher

than your skateboard ramp is.

That's about  1.1%  higher . . . 0.3 inch, or about  7.62 milometers.

Is this correct??? Will give Brainlyist

Answers

It.s not correct, but it’s not hard to learn. All you really have to do is multiply both the numerator and the denominator by each of the numerators that are listed in the problem. If you need help just ask, but I’m not going to give you the problem because you can do it! Just ask if you don’t understand.

The second on a watch is 14mm long. What area does it sweep through in 30 seconds

Answers

Exact Area = 98pi  

Approximate Area = 307.8760800518 (use calculator stored version of pi)

Approximate Area = 307.72 (using pi = 3.14)

Units are in square millimeters

======================================================

Explanation:

In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is

A = pi*r^2 = pi*14^2 = 196pi

Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately

If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72

The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?

Answers

Answer:

13 and 39

Step-by-step explanation:

The sum of two numbers = 52

One number is 3 times as large as the other

Equation:

x + 3x = 52

4x = 52

52 / 4 = x

x = 13

13 * 3 = 39

The numbers are 13 and 39

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the gradient, picture below

Answers

Answer:

[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]

Step-by-step explanation:

[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]

When x = 4,

[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]

Answer:

Hello,

Answer 13/8

Step-by-step explanation:

[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]

Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).

Answers

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /

Answers

Answer:

1 1/7.

Step-by-step explanation:

-9 2/7 - (-10 3/7)

= -9 2/7  + 10 3/7

= - 9 + 10 - 2/7 + 3/7

= 1 + 1/7

= 1 1/7.

Answer:

[tex] \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}[/tex]

Option B is the correct option

Step-by-step explanation:

[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]

First thing we have to do is that convert the mixed number into improper fraction .

[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]

Follow the steps:

Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominator

Now, let's do it!

[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]

⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]

When there is a ( - ) in front of an expression in the

parentheses , change the sign of each term in the expression

⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]

Convert mixed number into improper fraction

⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]

While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same

⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]

Calculate

⇒[tex] \mathsf{ \frac{8}{7} }[/tex]

Convert the improper fraction into mixed fraction.

( Since 8 is being divided by 7 , I am gonna use long division )

( See attached picture )

⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]

Hope I helped!

Best regards!!

...................................................

Answers

Answer:

11.21157846 =x

Step-by-step explanation:

We know log b (a) = c  can be written as b^c =a

log 3 (x) = 2.2

3^2.2 = x

11.21157846 =x

Answer:

[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]

Step-by-step explanation:

[tex]\large \sf log_3 (x)=2.2[/tex]

Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:

[tex]\large \sf log_b(y)=x[/tex]

[tex]\large{\sf y=b^x}[/tex]

Apply the relationship.

[tex]\large \sf log_3 (x)=2.2[/tex]

[tex]\large \sf x=3^{2.2}[/tex]

[tex]\large \sf x=11.21157845...[/tex]

[tex]\large \sf x \approx 11.21[/tex]

Write down all the prime numbers between 20 and 70

Answers

Answer:

23,29,31,37,41,43,47,53,59,61 and 67.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

23, 29, 31, 37, 41, 43, 47, 53, 61, 67

Step-by-step explanation:

Im not entirely sure but I believe I'm correct here.

Use the following prompt to answer the next 6 questions. Suppose we want to test the color distribution claim on the M&M’s website that a bag of plain M&M’s is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown. We select a sample of 400 plain M&M’s and found the following: Color Blue Orange Green Red Yellow Brown Frequency 30 48 55 66 70 131 Is there evidence to doubt the color distribution claimed by the website? Use ????=0.05

Answers

Answer:

The claim on the M&M’s website is not true.

Step-by-step explanation:

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]

Here,

[tex]O_{i}[/tex] = Observed frequencies

[tex]E_{i}=N\times p_{i}[/tex] = Expected frequency.

The chi-square test statistic value is, 14.433.

The degrees of freedom is:

df = k - 1 = 6 - 1 = 5

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{k-1} >14.433) =P(\chi^{2}_{5} >14.433) =0.013[/tex]

*Use a Chi-square table.

The significance level is, α = 0.05.

p-value = 0.013 < α = 0.05.

So, the null hypothesis will be rejected at 5% significance level.

Thus, concluding that the claim on the M&M’s website is not true.

Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com

Answers

Answer:

x=0       x=8          x = -1/10

Step-by-step explanation:

- 2x(x − 8)(10x + 1) = 0

Using the zero product property

-2x =0   x-8 = 0    10x+1= 0

x= 0    x= 8             10x = -1

x=0       x=8          x = -1/10

Imagine that you have plotted many data points on an xy-plane. Your points seem to align into a clear best-fit line. Do you think this best-fit line can help you make predictions about future data? Explain your answer, and give one or more examples to support it.

Answers

It depends really. If you stay close to the present, then predicting future results isn't too bad. The further you go out, the more unpredictable things get. This is because the points may deviate from the line of best fit (aka regression line) as time wears on. Of course, it also depends on what kind of data we're working with. Some pairs of variables are naturally going to correlate very strongly together. An example would be temperature versus ice cream sales.

A best-fit line shows an association between two variables and can therefore be used to make predictions.

An example is a scatterplot attached below showing a best-fit line that depicts the association between the number of people that bath in a pool and daily temperature.

(see attachment below).

Recall:

A best-fit line is a line drawn on a scatterplot showing a trend or an association between two variables.A best-fit line can either show a weak association or a strong association.A best-fit line is often applied in various situations to make predictions based on current trend revealed.

Therefore, a best-fit line shows an association between two variables and can therefore be used to make predictions.

An example is a scatterplot attached below showing a best-fit line that depicts the association between the number of people that bath in a pool and daily temperature.

(see attachment below).

Learn more here:

https://brainly.com/question/2396661

Hello if anyone is able to answer this please do I am not sure how to figure out the answer to this?????


Question-80% as a fraction

Answers

Answer:

[tex]\frac{80}{100}[/tex]

Step-by-step explanation:

All percentages are out of 100. Therefore, 80% is equal to [tex]\frac{80}{100}[/tex]. It can also be simplified to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex].

You can say 4/5 or 8/10 either way is correct actually !

Pls answer this urgently

Answers

Answer:

The pic there has a step by step explanation

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        Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]

[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]

[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]

[tex]= \frac{992640625^t6}{1265625}[/tex]

[tex]= \frac{922640625tttttt}{1265625}[/tex]

[tex]= 729t^6[/tex]

Answer : [tex]729t^6[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Rita bought 4 CDs that were each the same price. Including sales tax, she paid a total of $ 61.60. Of that total,$ 2.80 was tax. What was the price of each CD before tax

Answers

Answer:

The price of each CD is:

$14.70

Step-by-step explanation:

(61.6 - 2.8) /4

=  58.8/4

= $14.7

Answer:

$14.70

Step-by-step explanation:

We want to find the price of each CD before tax. Therefore, we must first subtract the tax from the total.

total -tax

The total cost was $61.60 and the tax was $2.80

$61.60 - $2.80

$58.80

The price for the 4 CDs (without tax) was $58.50.

We know that each CD costs the same price and Rita bought four CDs. Therefore, we can divide the cost without tax by 4.

cost without tax / 4

The cost without tax is $58.80

$58.80 /4

$14.70

Each CD before tax costs $14.70

The admission fee at an amusement park is $3.50 for children and $6.80 for adults. On a certain day, 223 people entered the park, and the admission fees collected totaled 1160 dollars. How many children and how many adults were admitted?

Answers

Answer:

108 children and 115 adults were admitted

Step-by-step explanation:

Create a system of equations where c is the number of children admitted and a is the number of adults admitted:

c + a = 223

3.5c + 6.8a = 1160

Solve by elimination by multiplying the top equation by -3.5:

-3.5c - 3.5a = -780.5

3.5c + 6.8a = 1160

Add the equations together and solve for a:

3.3a = 379.5

a = 115

So, 115 adults were admitted.

Find how many children were admitted by subtracting 115 from 223, the total number of people admitted:

223 - 115

= 108

108 children and 115 adults were admitted.

3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B

Answers

Answer: If the question is to solve for A: A= [tex]\frac{15x+1-B}{3x-1}[/tex]

If the question is to solve for B: B= 15x+1-3xA+A

Step-by-step explanation:

A: Move terms to the left.

B: Simplify both sides.

Answer:

a=8x^2+3x+1-b/3x-1  -x^2;  xdoes not equal 1/3

Step-by-step explanation:

hope this helps

Which number line represents the solution to the inequality 125x + 200 > 1,200?
9
A Att
-10
-8 -6
-4
--2
0
2
4
6
8
10
B
-10
-8
-6
-4
-2
0
2
4
+ ++
6 8 10
с
AHHH
-10 -8 -6
-4
-2
o
2
4
6
8
10
D
-10
-8
-6
-4
-2 0
2
4
6
8
10

Answers

Answer:

see below

Step-by-step explanation:

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

Other Questions
Pls help me with this fast. I will mark brainiest PROVE THAT:cos 20 - sin 20 = \sqrt{2}sin25 Which pair of parallelograms is similar? How many faces does a dodecahedron have? Please answer this question now Fill in the correct future tense - will future, going to or present progressive. 1. They (drive) to New York tomorrow morning. 2. I hope the weather (be) nice. 3. I offered him this job. I think he (take) it. 4. I promise I (not tell) your secret to anyone. 5. Take your umbrella with you. It (rain). 6. They (play) cards this evening. 7. I (go) to the cinema tomorrow. 8. They (fly) to Seattle next summer holidays. 9. I (invite) 50 people to the party, and I hope everyone (come). 10. That exercise looks difficult. I (help) you. 11. he (go) to the football match? 12. Are you sure they (win) the match? 13. She probably (stay) till Thursday. 14. He --------- (not leave) tomorrow. 15. We think he ------+++ (come) home late in the night. CHECK What is the difference in their elevations?An airplane flies at an altitude of 26,000 feet. A submarine dives to a depth of 700 feet below sea level Select the best answer for the question . 7. At a public swimming pool , the probability that an employee is a lifeguard is P(L) = 0.85 , and the probability that an employee is a teenager is P(T) = 0.58 . What's the probability that an employee is a lifeguard , given that the employee is a teenager ? O A. There isn't enough information given. O B. 1.47 OC. 0.68 O D.0.49 4 issues that influenced urbanisation Hi please, I Have An attachment on Waves, Just two Objective Questions Whoever Answers Will be Marked Brainliest thank you. help please helpppppp Mias average driving speed is 6 kilometers per hour faster than Kirks. In the same length of time it takes Mia to drive 558 kilometers, Kirk drives only 522 kilometers. What is Mias average speed? hlo plz help 5 point s and I will mark as brainliest also change in tag questions Suppose taxi fares from Logan Airport to downtown Boston is known to be normally distributed and a sample of seven taxi fares produces a mean fare of $22.31 and a 95% confidence interval of [$20.5051, $24.2091]. Which of the following statements is a valid explanation of the confidence interval. A) 95% of all taxi fares are between $20.51 and $24.21. B) We are 95% confident that a randomly selected taxi fare will be between $20.51 and $24.21. C) The mean amount of a taxi fare is $22.31, 95% of the time. D) We are 95% confident that the average taxi fare between Logan Airport and downtown Boston will fall between $20.51 and $24.21. Explain the development of the southern colonies, including but not limited to reasons established, impact of location and place, relations with American Indians and economic development? Aggressive Driving is someone that is controlled by their emotions.Group of answer choicesTrueFalse Now that you have your topic, claim, and supporting evidence, its time to determine a plan for creating your presentation. Consult this Sample Presentation Planner for guidance on how to organize your ideas and complete a successful multimedia presentation. Then, answer these questions in 50 to 100 words:Which software program would you use to deliver your presentation?Which multimedia elements would you include? Describe at least two choices. Express the quotient of z1 and z2 in standard form given that [tex]z_{1} = -3[cos(\frac{-\pi }{4} )+isin(\frac{-\pi }{4} )][/tex] and [tex]z_{2} = 2\sqrt{2} [cos(\frac{-\pi }{2} )+isin(\frac{-\pi }{2} )][/tex] A BD application is received by the State Administrator for a new broker-dealer subsidiary of a British securities firm. The application includes the disclosure that the parent firm was suspended from membership on the London Stock Exchange 4 years ago because of unauthorized trading by its Singapore branch. The State Administrator:_______. Find the maximum and minimum values of the function f(x,y)=2x2+3y24x5 on the domain x2+y2100. The maximum value of f(x,y) is: