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Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day

Answer:

P( at least 6 out of 10 business days ) = 0.6312

Step-by-step explanation:

Given the data in the question;

p = 60% = 0.6

q = 1 - p = 1 - 0.6 = 0.4

Using Binomial distribution;

P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]

where [tex]^nC_r = n!/(r!(n-r))[/tex]

we substitute

P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)

= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]

= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]

= 0.6312

Therefore, P( at least 6 out of 10 business days ) = 0.6312

Answer:

the answer is 30

Step-by-step explanation:

(6+4) * 3

Do what is in the parenthesis!

(6+4) = 10

Then do the *3

10*3 = 30!

Hope this help! Goodluck!

Answer:

A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]

Step-by-step explanation:

Answer:

ant to a wale

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)

Right off the bat we can eliminate answer choice C because the line is not straight

the answer is not a nor d

the line may be straight but it does not go through the origin therefore it is not a proportional relationship

B makes a straight line and the line goes through the origin therefore B is the answer

Answer:

1.75 x 1.75

fillerfillerfiller

Answer:

The answer is 7

Step-by-step explanation:

2+8+9+9÷4=7

Answer:

250 mm = 0.25 m

Step-by-step explanation:

Answer:

0.25m

Step-by-step explanation:

Answer:

Step-by-step explanation:

The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6

The equation is

y=6x where y=number of wheels and x=number of buses

circumference = 2*(22/7)*r^2

r=d/2

so answer is 103.62

Answer:

B 2/1

Step-by-step explanation:

2/2=1

3/3=1

4/4=1

and 2/1=2

Answer: 31, 13

Step-by-step explanation:

Answer: A quotient is the the number resulting from the division of one number by another.

Step-by-step explanation:

24/4 the quotient (answer) is 6

Answer:

5 hours

Step-by-step explanation:

sam originally paid $18 hours but then had to pay 9 every 1 hour

18+9/1=?

sam paid 63 $ in total so

63-18= 45

45/9=5

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

Answer:

Q I  & Q III

Step-by-step explanation:

See the picture I have attached. The Quadrant numbers are in bold Roman numerals.

Only in quadrants I and III are x and Y both of the same sign.

If the point (a,b)  is on an axis, one of the coordinates must be zero, but you were told that neither a nor b is zero, so the axes can be counted out as possible answers.

Answer:

5 to 8, 5/8, 5:8

Step-by-step explanation:

if you have 5 triangles then TO 8 rectangles it will be (5 to 8, 5/8, or 5:8) those are all 3 ways to write it and it has to be # TO # in the right order it says in the sentence

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 36.57

Explanation:

6x4 = 24

3.14(2)^2 = 12.56

12.57+24=36.57

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value

Step-by-step explanation:

There are 7 days in a week.

1/2 hour x 7 days = 3 1/2 hours per week.

3 1/2 hours per week x 4 weeks = 14 hours

He read for a total of 14 hours

Answer:

14 hours

Step-by-step explanation:

half hour = 30 minutes

1 week = 7 days

30(minutes) x 7(days) = 210 minutes

210(minutes) x 4(weeks) = 840 minutes

Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.

840 minutes = how long Danny has read in minutes

60 minutes = hour

840(minutes) ÷ 60(minutes) = 14(hours)

1064 x

19

________

20216 legos

Sharon has 20216 legos

Answer:

6 teams

Step-by-step explanation:

72/12 = 6

9514 1404 393

Answer:

Step-by-step explanation:

In early primary education, when you're learning your arithmetic facts, you were probably exposed to math problems that looked like this:

  ___ + 4 = 5

In algebra problems, we give a name to the blank, and we call that name a "variable." In this problem, we have have named the blank "y". The variable in the equation is y.

  y + 4 = 5

__

To answer the math question above, we fill in the blank with the numerical value that makes the statement true. To solve the algebraic equation, we find the value of y that makes the equation true.

__

1 goes in the blank to make the original statement true:

   1   + 4 = 5

1 is a solution to the equation because replacing y with 1 makes 1+4=5 a true statement.

Answer:

help u in what please ask the question so we can anwser

Answer:

12 toppings

Step-by-step explanation:

5*9=45

540/45=12

The number of toppings in the ice cream cone are 9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.

Let the number of toppings be x.

So, 9×5×x=540

⇒ 45x=540

⇒ x=9

Therefore, the number of toppings in the ice cream cone are 9.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

I

Step-by-step explanation: