Mitchell’s cell phone provider’s phone line is busy 80% of the time. In 12 calls, what is the probability that it will be busy at least 10 times?

Answers

Answer 1

Answer:

Step-by-step explanation:

Binomial distribution:  [tex]X \sim B(n,p)[/tex]

where n is the number and p is the probability

Given:

n = 12p = 0.8

[tex]X \sim B(12,0.8)[/tex]

P(X ≥ 10) = 1 - P(X ≤ 9)

              = 1 - 0.4416542515...

              = 0.5583 (4 dp)


Related Questions

put 3/5 as a decimal and is it a terminating or repeating decimal?

Answers

Answer:

3/5 as a decimal is 0.6 and it is terminating not repeating

Step-by-step explanation:

What region of the graph would satisfy the following system?
y < 2 + 3
3
--
2
2.

Answers

Answer:

Step-by-step explanation:

y < 2 + 3

2 < 5

This statement is correct

A new fitness center opens with 120 members. Every month the fitness center increases the number of members by 40 members. How many members will the fitness center have after being open for 3 months?​

Answers

Answer:

240 members

Step-by-step explanation:

Let y = total and x = no. of months

y = 40x + 120

= 40(3) + 120

= 120 + 120

= 240 members

Can someone answer this one

Answers

Answer:

3 sides

Step-by-step explanation:

A triangle has 3 sides.

Answer:

its 3

Step-by-step explanation:

you can know this if you have eyes:)

There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 8 meters high, and the hook is 2 meters from its base. How long is the rope? If necessary, round to the nearest tenth.
ASAP Please!

Answers

Answer: 8.2m

Step-by-step explanation:

Let the hook that is 2m from the base represent a

Let the height of the flagpole represent b

The length of the rope (hypotenuse) is c

[tex]\begin{aligned}&a^{2}+b^{2}=c^{2} \\&2^{2}+8^{2}=c^{2} \\&4+64=c^{2} \\&\sqrt{68}=\sqrt{c}^{2}\end{aligned}\\c= 8.25m[/tex]

A stone pyramid in Egypt has a square base that measures 149 m on each side. The height is 91 m. What is the volume of the pyramid

Answers

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{149\times 149}{22201}\\ h=91 \end{cases}\implies V=\cfrac{(22201)(91)}{3}\implies V=673430.\overline{3}~m^3[/tex]

Please solve and please make sure your correct

Answers

Answer:

(a) The ones that are equivalent to the given fraction are: [tex]\frac{2}{-9}[/tex] and [tex]-\frac{2}{9}[/tex]

(b) The one that is equivalent to the given fraction is: [tex]\frac{-8}{-5}[/tex]

Mike’s wooden storage box is 25 inches by 36 inches by 39 inches what is the volume of mike’s box

Answers

Answer:

It would be 35100.

f(x) = (2x − 3)(x + 6)(5x + 6) has zeros at x = -6, x = -6/5 and x =3/2.
What is the sign of f on the interval - 6

Answers

Answer:

Step-by-step explanation:

f ( - 7 ) = [ 2 ( - 7 ) - 3]( - 7 + 6 )[ 5 ( - 7 ) + 6 ] = ( - 17 )( - 1 )( - 29 ) < 0 , Negative

f ( - 5 ) = [ 2 ( - 5 ) - 3]( - 5 + 6 )[ 5 ( - 5 ) + 6 ] = ( - 13 )( + 1 )( - 19 ) > 0 , Positive

f ( - 1 ) = [ 2 ( - 1 ) - 3]( - 1 + 6 )[ 5 ( - 1 ) + 6 ] = ( - 5 )( + 5 )( + 1 ) < 0 , Negative

The answer is (A) " f " is always POSITIVE

given the following geometric sequence: 1,3,9,27,81,...
Write an explicit formula that describes this sequence.
Using the formula, find the 18th term of the sequence

Answers

Answer:

The 18th term of the geometric sequence is [tex]a_{18}=129140163[/tex]

Step-by-step explanation:

[tex]a_n=a_1(r)^{n-1}\\\\a_{18}=1(3)^{18-1}\\\\a_{18}=3^{17}\\\\a_{18}=129140163[/tex]

ABC is a triangle and PQ is parallel to BC.
BC = 12.6 cm, PQ = 8.4cm and AQ = 7.2 cm.
Find AC.
(i know that parallel lines divide triangle sides proportionally, but can someone do a detailed step on AC)

Answers

Similar triangles ( reduction)

The ratio of the sides of the two figures are in a constant ratio
ie. BC/AC = PQ/AQ
12.6/AC = 8.4/7.2
Cross multiply
8.4AC =12.6x7.2
8.4AC = 90.72
Divide through by 8.4
AC= 10.8 cm

Nate has an account that pays 2. 76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. How much money should Nate invest in this account to meet this goal? a. $1,279. 26 b. $4,369. 26 c. $4,373. 77 d. $7,463. 77.

Answers

We have given that,

interest rate = 2.76%

simple interest = 3,090

term = 15 years

What is the principle of simple interest?

[tex]Simple Interest = Principal * interest rate * term[/tex]

[tex]3,090 = Principal * .0276 * 15\\3,090 = Principal * 0.414\\3,090 / 0.414 = Principal\\7,463.77 = Principal[/tex]

Therefore,Nate should invest 7,463.77 to meet his goal.

To learn more about the simple  interest visit:

https://brainly.com/question/25793394

You flip a coin and spin the spinner below. What is the probability that you flip heads and spin a number greater than 2?The spinner has 4 sides and 1-4

Answers

Answer:

1/2

Step-by-step explanation:

please help with this and solve it using the equation

Answers

Answer:

E

Step-by-step explanation:

17-9=8 so the answer is 8

What is the value of p in this proportion? 5/6/p=2/3/1/2 Enter your answer as a simplified fraction in the box. p =

Answers

Answer:

5/8

Step-by-step explanation:

Since 12:00 a.m., a cold front has caused the temperature in a particular city to decrease at a constant rate. At 2:00 a.m., the temperature was 54 degrees Fahrenheit, and at 5:00 a.m., the temperature was 45 degrees Fahrenheit. Which of the following statements are correct? Select TWO that apply.

Answers

The temperature in a particular city to decrease at a constant rate of 3°F per hour.

What is an equation?

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

At 2:00 a.m., the temperature was 54 degrees Fahrenheit, and at 5:00 a.m., the temperature was 45 degrees Fahrenheit. Hence:

Rate of change = (45°F - 54°F) / (5 - 2) = -3

The temperature in a particular city to decrease at a constant rate of 3°F per hour.

Find out more on equation at: https://brainly.com/question/2972832

I need help with these problems can anyone explain this to me?

Answers

I'd love to help!

What's your question?

Brainliest

PLEASE HELP ME AND MAKE SURE TO EXPLAIN!!!

The lowest recorded temperature in Wisconsin is -55 F on to find this temperature in degrees Celsius . (5(F - 32))/9 Round to the nearest tenth . Explain its meaning .

Answers

The equation to convert Fahrenheit to Celsius is 5(F-32)/9, where F is your given temperature in Fahrenheit.

Plug in -55 for F

5(-55-32)/9 = °C

Solve according to PEMDAS

5(-87)/9 = °C
-435/9 = °C
-48.333 = °C

So, -55°F = -48.3 °C

Tim made 10 baskets during a basketball game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by Jordan? What's the answer?

Answers

The total point is an illustration of arrangements

There are 6 different numbers that could the total points scored by Tim

How to determine the number of total points?

The different number (n) that can represent the total point is calculated as:

n = 2 points + 3 points + 1

Remove the units

n = 2 + 3 + 1

Evaluate the sum

n = 6

Hence, there are 6 different numbers that could the total points scored by Tim

Read more about arrangements at:

brainly.com/question/6032811

x2-4x=-4 Solve using quadratic formula (find x)

Answers

Answer:

x=2

Step-by-step explanation:

[tex]x^2-4x=-4[/tex]

[tex]x^2-4x+4=-4+4[/tex] (Add 4 to both sides)

[tex]x^2-4x+4=0[/tex]

Now, we can solve it using quadratic formula

[tex]x_{1,\:2}=\cfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4* \:1* \:4}}{2* \:1}[/tex]

[tex]x_{1,\:2}=\cfrac{-\left(-4\right)\pm \sqrt{0}}{2* \:1}[/tex]

[tex]x=\cfrac{-\left(-4\right)}{2* \:1}[/tex]

[tex]x=2[/tex]

~


Add 4 to both sides of the equation.
x^2+4x+ 4 =0

4±√4^2−4⋅(1⋅4)
————————
2⋅1

x= -2

Does anyone know the correct answer?

Answers

Answer:

A)

Step-by-step explanation:

area of triangle is base x height divided by two

Answer:

Option A is the correct answer

Step-by-step explanation:

[tex]Area \:of \triangle =\frac{(Height)(Base)}{2}=\frac{(6)(7)}{2}[/tex]

Hope it helps you in your learning process.

Simplify the expression.
(In the picture)

Answers

Answer:

18x2y^2^3√3xy2 <-- scratch that its D

Step-by-step explanation:

Somebody help me please

Answers

Answer:

see explanation

Step-by-step explanation:

given

(2x + 5)(2x - 1) ← expand using FOIL

(a)

= 4x² - 2x + 10x - 5 ← collect like terms

= 4x² + 8x - 5

(b)

using the method of completing the square on

4x² + 8x - 5 ← factor out 4 from the 1st 2 terms

= 4(x² + 2x) - 5

to complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 2x

= 4(x² + 2(1)x + 1 - 1) - 5

= 4(x + 1)² - 4 - 5

= 4(x + 1)² - 9

Write a function rule for the table.

f(x) = 4 – x
f(x) = –4x
f(x) = x + 4
f(x) = x – 4

Answers

Answer:

f(x) = x – 4

checking for all the functions by replacing x as 3

f(x) = 4 – x

f(3) = 4 - 3

f(3) = 1

does not match

f(x) = –4x

f(3) = -4(3)

f(3) = -12

does not match

f(x) = x + 4

f(3) = 3 + 4

f(3) = 7

does not match

f(x) = x – 4

f(3) = 3 - 4

f(3) = -1

matches

Answer:

f(x) = x - 4

Step-by-step explanation:

The options are:

f(x) = 4 – x

f(x) = –4x

f(x) = x + 4

f(x) = x – 4

For f(x) = 4 – x, when x=3, f(x)=1 so it cannot be right.

For f(x) = –4x, when x=3, f(x)=-12 so it cannot be right either.

f(x) = x + 4, when x=3, f(x)=7 so it cannot be right.

The only choice left which is also the right answer is f(x) = x – 4

41% of 78 is what? i am very lost

Answers

Answer:

[tex]31.98[/tex]

Step-by-step explanation:

Given the following question:

41% of 78

In order to find the answer, we will use the formula to calculate percentages and solve.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{41\times78}{100} =41\times78=3198\div100=31.98[/tex]
[tex]=31.98[/tex]

41% of 78 is indeed "31.98."

Hope this helps.

Please help, I’ll mark your answer as brainliest.

Answers

Answer:

Step-by-step explanation:

Find an equation for the perpendicular bisector of the line segment whose endpoints are (5, 5) and ( 7, 1).​

Answers

Answer:

  x -2y = 0

Step-by-step explanation:

A perpendicular bisector is a line perpendicular to a given line or segment that goes through the midpoint between given points. The perpendicular line will have a slope that is the opposite reciprocal of the slope of the segment between the given points.

__

The midpoint between A and B is ...

  M = (A +B)/2

  M = ((5, 5) +(7, 1))/2 = (12, 6)/2 = (6, 3)

The slope of the line between A and B is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -5)/(7 -5) = -4/2 = -2

__

The opposite reciprocal of the slope of the given segment is ...

  m' = -1/-2 = 1/2

The point-slope form of the equation of the perpendicular bisector can be written as ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -3 = 1/2(x -6) . . . . line with slope 1/2 through point (6, 3)

Multiplying by 2 gives ...

  2y -6 = x -6

Subtracting (2y -6) gives the standard-form equation ...

  x -2y = 0

Add or subtract the following polynomials.
1. 7x-(4xy+12xy)-2
2. (5bc)-(5+bc)
3. 7+(2x-5x)+y
4. 6x+10+[3x-6x]
5. 3x²y-(5x²y)

With solutions pls

Answers

Answer 1:

7x-16xy-2

Answer 2:

4bc-5

Answer 3:

7-3x+y

Answer 4:

3x+10

Answer 5:

-2x²y

Solving Solutions Question #1

*Remove the parentheses for addition or subtraction*

[tex]7x-\left(4xy+12xy\right)-2[/tex]

*Determine the sign*

[tex]7x-4xy-12xy-2[/tex]

*Reorder and gather like terms*

[tex]7x+\left(-4xy-12xy\right)-2[/tex]

*Collect coefficients of like terms*

[tex]7x+\left(-4-12\right)\timesxy-2[/tex]

*Calculate the sum or difference*

[tex]7x-16xy-2[/tex]

Solving Solutions Question #2

*Simplify or expand*

[tex]5bc-\left(5+bc\right)[/tex]

*Remove the parentheses for addition or subtraction*

[tex]5bc-5-bc[/tex]

*Reorder and gather like terms*

[tex]\left(5bc-bc\right)-5[/tex]

*Collect coefficients of like terms*

[tex]\left(5-1\right)[/tex] [tex]\times[/tex] [tex]bc-5[/tex]

*Collect the sum or difference*

[tex]4bc-5[/tex]

Solving Solution Question #3

*Simplify or expand*

[tex]7+(2x-5x)+y[/tex]

*Determine the sign*

[tex]7+2x-5x+y[/tex]

*Reorder and gather like terms*

[tex]7+\left(2x-5x\right)+y[/tex]

*Collect coefficients of like terms*

[tex]7+\left(2-5\right)\timesx[/tex] [tex]\times[/tex] [tex]x+y[/tex]

*Calculate the sum or difference*

[tex]7-3x+y[/tex]

Solving Solution Question #4

*Simplify or expand*

[tex]6x+10+(3x-6x)[/tex]

*Determine the sign*

[tex]6x+10+3x-6x[/tex]

*Reorder and gather like terms*

[tex](6x+3x-6x)+10[/tex]

*Collect coefficients of like terms*

[tex](6+3-6)[/tex] × [tex]x+10[/tex]

*Apply the Inverse Property of Addition*

[tex]3x+10[/tex]

Solving Solution #5

*Simplify or expand*

[tex]3x^{2} y-5x^{2} y[/tex]

*Collect coefficients of like terms*

[tex](3-5)x^{2} y[/tex]

*Calculate the sum or difference*

[tex]-2x^{2} y[/tex]

I hope this helps you:)

(Hello, I have been having problems with this one. That 3 am studying can really hit you lol.)

Two companies build houses.
Company M builds half as many brick houses as wood houses.

The table below shows the relationship between the number of brick houses and wood houses that Company N builds.

Wood Houses: 5, 10, 15, 20
Brick Houses: 3, 6, 9, 12

Each company built 100 wood houses. How many more brick houses did Company N build than Company M?

Answers

Answer:

10

Step-by-step explanation:

company N builds 100 wooden houses cut in half which is 50 brick houses, the ratio for company M is 5:3, 5x20=100  3x20=60.  60-50=10

Please help with these 2 questions

Write the equation in slope-intercept form of the line parallel to y=4x-2 and passes through (4,6).

Write the equation in slope-intercept form of the line perpendicular to 2x-7y=1 and passes through (0,-4)

Answers

Answer:

Step-by-step explanation:

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