A radio station announces one listener's name between 8:10:00 and 8:21:59 every morning. If you turn the radio on at 8:18:00, what are the chances that you missed the announcement? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

[tex]Pr = 0.67[/tex]

Step-by-step explanation:

Given

[tex]Start = 8:10:00[/tex]

[tex]End = 8:21:59[/tex]

[tex]You = 8:18:00[/tex]

Required

Chances that you missed the appointment

First, calculate the number of minutes of the radio station

[tex]n = End - Start[/tex]

[tex]n = 8:21:59 - 8:10:00[/tex]

[tex]n = 11\ min\ 59\ secs[/tex]

Convert to seconds

[tex]n = 719[/tex]

Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00

So, we have:

[tex]Missed = 8:17:59 - 8:10:00[/tex]

[tex]Missed = 7\ mins\ 59\ secs[/tex]

Convert to seconds

[tex]Missed = 479[/tex]

The probability that you missed is:

[tex]Pr = \frac{Missed}{n}[/tex]

[tex]Pr = \frac{479}{719}[/tex]

[tex]Pr = 0.67[/tex]


Related Questions

Find the area of the Regular Octagon below and show all mathematical reasoning.

Answers

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?

Answers

Answer: 2, 5

Step-by-step explanation:yes

Which table of ordered pairs matches the following function?
2y + 8x = 2

Answers

answer:

step-by-step explanation:
i don’t understand what you’re trying to ask so i’ll just tell you everything about this function
2y + 8x = 2
y = 0
2(0) + 8x = 2
8x = 2
/8 /8
x = 1/4
x = 0
2y + 8(0) = 2
2y = 2
/2 /2
y = 1
1 is the y-intercept and 1/4 is the x-intercept
it is a straight line downwards
the function would be
2y + 8x = 2
-8x -8x
2y = -8x + 2
/2 /2 /2
y = -4x + 1
-4x is the slope 1 is the y-intercept
the graph would look like this

Help!
Is the data skewed or symmetric?

Answers

Answer:

i believe it is skewed. sorry if its wrong

Step-by-step explanation:

It is skewed because symmetric is exactly what it’s called

Someone please help!!!! I’ll give brainliest!!!

Answers

can you make the picture more clear?

what's the coefficient in the equation m-22

Answers

Answer:

that does not make sense ?????????????????????????????????????????

Write an algebraic expression for the phrase below.
12 less than twice a number n

A- 12 - n - n B- 6 - 2n C 2n - 12 D- 12n-2

Answers

12 less than means to add 12: -12
twice a number: 2n

12 less than twice a number n: 2n - 12

Today, Noah swam 1 mile at swim practice and Liam sprinted 880 yards at track practice. How many more yards did Noah travel during exercise?


This from Moby Max

I am in 4th grade

Answers

Answer:

the answer is 880 yards more

Step-by-step explanation:

1 mile is equal to 5280 feet or 1760 yards.

then subtract your two numbers that have the same unit (yards)

1760 yards - 880 yards = 880 yards

he went 920 more yards than liam Because 1 mile is equal to 1800 yards and 1800-880=920

PLEASE HELP THANKS <3

Answers

Answer:

DL

Step-by-step explanation:

What is the length of PR?
7/2
14
/2
7

Answers

Step-by-step explanation:

let AB when products meet the ground at c.

Which value of x is a solution of x < -2?
A. -3
B. -2
C. - 1
D. O

Answers

Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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A bakery owner wants to keep his bakery open a few more hours every evening. He wants to conduct a survey to determine whether extending the bakery's hours would be what costumers want. Which survey method would likely produce the most representative sample?

Answers

Answer:

Ask every tenth customer over the period of a week.

Step-by-step explanation:

Required

Select which of the options is true

(a) Every 5th male customer

This method will not produce a correct representative sample because only the male customers are surveyed. The opinion of the female customers will not be represented in the sample

(b) Every customer after 5:00pm

This method will not produce a correct representative sample because only the customers who come to the bakery before 5:00pm will not be represented. The opinion of these customers will not be represented in the sample

(c) Every 10th customer over the week

This method will produce a correct representative sample because the opinions of the customers are taken, irrespective of the gender or the time the customer walks into the bakery.

Four times a number is greater than 48. What are the possible values for the
number?

Answers

Answer:

Any number greater than 12 but not including 12

Step-by-step explanation:

hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

this is a very easy question all you have to know is your times table.

the working is shown below:

12

×4

--------

48

---------

OR

------

12×4= 48

how do i get the answer for 8 - (-6) i’m not good at math sorry

Answers

Answer:

14

Step-by-step explanation:

The answer is 14 try photo math it’s a great app for this kind of stuff but it’s only for math equations

You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one dollar drinks.How much does each pizza cost?

Answers

Answer:

★ The answer is $5

Step-by-step explanation:

Hope you have a great day

Please help I will mark brainliest thanks​

Answers

Answer:

5+4+6=51 yes

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The quantities x and y are positive. If x is
decreased by 20 percent and y is increased by
20 percent, then the product of x and y is

Answers

Answer:

Positive

Step-by-step explanation:

Two negative numbers, no matter how small or large are always positive when multiplied. Same goes for two positive numbers. If it was positive beforehand that means both numbers were either negative or positive. A percentage of a negative number is still negative and a percentage of a positive number is still positive so the answer won't change.

Answer:

Decreased by 4%

The average rate of change over the interval [2,5] is ____.

The average rate of change over the interval [5,7] is ____.

The average rate of change over the interval [2,8] is ____.

Answers

Answer:

The average rate of change over the interval [2,5] is 3

The average rate of change over the interval [5,7] is -2

The average rate of change over the interval [2,8] is 0

Step-by-step explanation:

in photo

A jar has 10 red marbles, 3 blue marbles, and 7 yellow marbles. What percent of the marbles are blue?

Answers

Answer:

3/20 1.5/10 15/100 15%

Step-by-step explanation:

done

Answer:

I think the answer is 15%

Step-by-step explanation:

15%of the marbles are blue.

[tex] \frac{3}{20} \binom{ \times }{ \times } \frac{5}{5} = \frac{15}{100} [/tex]

[tex] \frac{15}{100} = 15\%[/tex]

9z - 6+ 7z = 16z - 6

Answers

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.

Answers

Answer:

556.5 cm²

Step-by-step explanation:

Area of trapezium :

Area = 1/2 (a + b)h

a = base length 1

b = base length 2

h = height

From the information given :

Distance between MN and PQ = Height, h = 21 cm

Base MN, a = 28 cm

Base PQ, b = 25 cm

Hence,

Area = 1/2 (28 + 25) * 21

Area = 1/2 (53) * 21

Area = 556.5 cm²

if the HCF of 408 and 1032 is expressible in the form of 1032 into 2 + 408 into P then find the value of p​

Answers

Answer:

below.

Step-by-step explanation:

408 = 2*2*2*3*17

1032 = 2*2*2*3*43

So the HCF is 2*2*2*3 = 24

24 = 2/1032 + p/408

24 - 2/1032 = p/408

p = (24 - 2/1032) * 408

p = 9791.21 to nearest hundredth.

An exponential function is given by the equation y=3x. Using the points xx and x+1x+1, show that the y-values increase by a factor of 3 between any two points separated by x2−x1=1.(4 points)

Answers

Answer:

Here we have the function:

y = f(x) = 3^x

Using the values:

x and (x + 1)

We need to find that the y-value increases by a factor of 3.

So we need to prove that:

f(x + 1) = 3*f(x).

Or we can see the quotient:

f(x + 1)/f(x) = 3

Here we can find the values:

f(x + 1) = y = 3^(x + 1)

f(x) = y' = 3^x

If we take the quotient, we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x}[/tex]

Here we can use the properties:

[tex]a^n*a^m = a^{n + m}[/tex]

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

Using these in the quotient equation we get:

[tex]\frac{f(x + 1)}{f(x)} = \frac{3^{x + 1}}{3^x} = \frac{3^x*3^1}{3^x} = \frac{3^x}{3^x}*3 = 1*3 = 3[/tex]

Then:

[tex]\frac{f(x + 1)}{f(x)} = 3[/tex]

[tex]f(x + 1) = 3*f(x)[/tex]

So we found that the y-value increases by a factor of 3 between any two points x₂ and x₁ such that: x₂ - x₁ = 1.

Picture is provided, please help!

Answers

Answer:

Option C: b is parallel which is; y = ½x - 1

Step-by-step explanation:

We know that if the slope of a line is m, then the slope of the line that is perpendicular to it would have be; -1/m.

In this question, m = ½

Thus, the slope of the line that is perpendicular to it is; -1/(½) = -2

However, to find the slope of the line parallel to it would mean that the value of m which is the original slope will remain the same. Original slope = ½, thus the only option with slope as ½ is option C where b is parallel with the equation; y = ½x - 1

The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.

Answers

Answer:

0 | -6

____

3 | -15

Step-by-step explanation:

just plug in the numbers they give u in the chart

when x = 0 -> y = -3*0-6 = -6

when y = -15 -> -15 = -3x-6 -> x = 3

The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

What is an equation of a line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.

x = 0 , y = -3 x 0-6 = -6

y = -15 -> -15 = -3 x-6 -> x = 3

Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).

To know more about an equation of the line follow

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I haven’t done this since 7th grade sorry I just don’t remember

Answers

Elimination is x=3 since you can cancel our out the 3y just add the 8 and 2 which is 10 and 18 and 12 which is 30, devide and there ya go
The answer is x=3. You just eliminate

15 cm
15 cm
10 cm
10 cm
1
10 cm
1
8.66cm
1
The surface area of the three-dimensional figure is
square centimeters.
Picture is quite a bit more helpful

Answers

Answer:

Total surface area = 536.6 cm²

Step-by-step explanation:

Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)

Area of rectangle (1) = Length × Width

                                  = 10 × 15

                                  = 150 cm²

Area of rectangle (2) = 10 × 15

                                   = 150 cm²

Area of rectangle (3) = 10 × 15

                                   = 150 cm²

Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                               = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Total surface area = 150 + 150 + 150 + 43.3 + 43.3

                               = 536.6 cm²

Please help me with this

Answers

it would be 3 and a half because 4 is too much

I know the answer but I need the angle name pls hurry

Answers

Answer:

S

angle S would also be an obtuse angle measuring 118°

corresponding angle

Step-by-step explanation:

Answer:

s.

Step-by-step explanation:

s is a corresponding angle to the 118 angle.

The area of triangle ABC ABC is 18 cm2. Side AC=4x AC = 4 x and side AB=x+3 AB = x + 3 . Given that angle A=30∘ , calculate the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

Let the altitude from B to AC intersect at point D.  Then BD is a height of the triangle with base AC

ΔABD is a 30-60-90 triangle since m∠A = 30

Therefore, AB = 2(BD)  or BD = AB/2 = (x+3)/2

Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)

= x(x + 3) = 18

[tex]x^{2} + 3x = 18[/tex]

[tex]x^{2} + 3x - 18 = 0[/tex]

(x + 6)(x - 3) = 0

x = -6  or x = 3

x cannot equal -6, so x = 3

In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:

[tex]X=3[/tex]

In this way, we can write the treated area of ​​the triangle as:

[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]

See more about triangle  at brainly.com/question/25813512

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