the probabilities that amy and tess will arrive at party on time are 2/3 and 3/4 respectively. Find the probability that a. amy will arrive on time while tess is not

Answers

Answer 1

Answer:

1/6

Step-by-step explanation:

Probability that any arrives on time = 2/3

Probability that teaa arrives on time = 3/4

Probability that teas will not arrive in time = 1 - P(tess arrives on time) = 1 - 3/4 = 1/4

Hence,

The probability that Amy arrives in time and tess does not equals

2/3 * 1/4 = (2*1) / (3*4) = 2 / 12 = 1/6

Answer 2

Using it's concept, it is found that there is a 0.1667 = 16.67% probability that Amy will arrive on time while Tess will not.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The probability that Amy arrives on time is of 2/3.The probability that Tess does not arrive on time is of 1/4.

Since they are independent, we multiply them, hence:

[tex]P = \frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = 0.1667[/tex]

0.1667 = 16.67% probability that Amy will arrive on time while Tess will not.

More can be learned about probabilities at https://brainly.com/question/14398287


Related Questions

On Mother’s Day, 86 children were interviewed, and 15 said they were going to buy a chocolates for their mother, 25 said they were going to take their mother for vacation and 18 said they were going to buy their mother roses. Of these, 8 said they were going to buy a chocolate and take their mother for vacation. Five said they were going to buy both chocolate and roses, and eleven said they were going to buy their mother roses and take their mother for vacation. Only two children said they were going to treat their mother to all three, but chocolates, roses and take for vacations.


i. Illustrate the situation above with the Venn diagrams.
ii. How many children are going to buy chocolates and take their mother for vacation but not
buy them roses.

Answers

Answer:

do you need the answer?

Step-by-step explanation:

?

Please help ! Please help! I put extra points! And I will heart you!

Answers

Answer:

89 degrees

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation:

180-89=91 degrees

180 is the line that 89 degrees is on.

Please help !
find the value of x.

Answers

Answer:

a straight line i think is always 180 so i think the answer is A. 81

Step-by-step explanation:

PLEASE HURRY THIS TEST IS TIMED
Use the distributive property to factor out y.

5 y minus 3 y + 12

The new expression becomes
A. 8 y + 12.
B. Negative 2 y + 12.
C. 2 y + 12.
D. 14 y.

Answers

Answer:

2y+12

Step-by-step explanation:

First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.

x5 + 2 = 12 = a 50 b 58 c 62 d70

Answers

Answer:

^5 √ 10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Find the area in square inches of the figure shown.

Answers

Answer:

96 [tex]in^2[/tex]

Step-by-step explanation:

48+12+36 (I divided it into 3 rectangles and added them up)

= 96 [tex]in^2[/tex]

Feel free to mark it as brainliest :D

CAN BOTS JUST PLEASE STOP REPOSTING THE SAME RESPONSE AND SOMEONE PLEASE HELP ME

Answers

Answer:

y=-5x+-3

Step-by-step explanation:

the slope is negative and its rise over run so 5/1 which is five and the y intercept is -3

Here are some facts about units of length.
Unit
Symbol
Fact
inch
foot
ft
1 ft = 12 in
yard
yd
1 yd = 3 ft
Fill in the blanks.
3 ft =
in
8 yd =

Answers

Answer:

3 ft = 36 in

8 yd = 24 ft

Step-by-step explanation:

1 ft = 12 in, 3 ft = 36 in

1 yd = 3 ft, 8 yd = 24 ft

Please help will give brainlist

Answers

Answer:

Sum

Step-by-step explanation:

Remember that the plus sign (+) always means to add.

Answer:

It would be the sum of a number and eight.

//////////help me\\\\\\\\\\\\\​

Answers

i can’t see the photo is blurry

Answer:

c the answer is c just trust me

What's the surface area?

Answers

Answer:

24

Step-by-step explanation:

8 x 3 = 24

It would be 24 yards

Answer Choices
A. -0.01
B. 2
C. 0.01
D. 10,000

Answers

Answer:I hink its B if its not im sorry

Step-by-step explanation:

Is There only one way to solve a equation, and if so please support your thinking.

Answers

Answer:

No

Step-by-step explanation:

Theirs always multiple ways to solve something, even if their is only one way to solve it. We all think things through differently

Please help, if you’re correct I’ll mark you as brainiest!!!

Answers

Answer:

A

Step-by-step explanation:

950 is 95% of 1000

so he lost 5 percent, which can be represented as -5.0%

Answer:

Step-by-step explanation:

because the value went down.. we know the the rate of return , is negative.  then we just have to think about , how much is 50 of 1000 ??  well 10 is 10% of 100 right?  so 100 is 10% or 1000,  right?  sooo  half of 100, or 50, is 5% of 1000,  

so -5% is the return on investment (roi)

Choose the best description of an angle.

A. An angle is formed where two rays meet at a common endpoint.

B. An angle is the point where two rays meet.

C. An angle is part of a line that has one endpoint and extends forever in one direction.

D. An angle extends forever in both directions.

Answers

Answer:

A. An angle is formed...

Answer:

An angle is formed where two rays meet at a common endpoint.

Step-by-step explanation:

Using formula B=p(1+r)5
=$1000(1+0.05)5
1000(1.05)5
1000(1.2762815625)
total=1276.28
using formula above, calculate balance if interest is compounded annually. $800.00 at 4% interest for 2 years
how did I get the (1.2762815625)
multiplying what numbers?​

Answers

Answer:

45.5

Step-by-step explanation: NUN

What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain and use the properties of the types of quadrilaterals as proofs.

Answers

Answer:

The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that [tex]x = 7[/tex], [tex]AB = 4\cdot x - 2[/tex], [tex]BC = 2\cdot x + 12[/tex], [tex]DC = 3\cdot x +5[/tex], [tex]AD = 6\cdot x -16[/tex], [tex]AC = 4\cdot x + 12[/tex] and [tex]DB = 8\cdot x -10[/tex], the lengths of each line segment are respectively:

Sides

[tex]AB = 4\cdot (7) -2[/tex]

[tex]AB = 26[/tex]

[tex]BC = 2\cdot (7) +12[/tex]

[tex]BC = 26[/tex]

[tex]DC = 3\cdot (7) +5[/tex]

[tex]DC = 26[/tex]

[tex]AD = 6\cdot (7) -16[/tex]

[tex]AD = 26[/tex]

Diagonals

[tex]AC = 4\cdot (7) +12[/tex]

[tex]AC = 40[/tex]

[tex]DB = 8\cdot (7) - 10[/tex]

[tex]DB = 40[/tex]

This information indicates that this quadrilateral is a square because of these characteristics:

1) All sides have the same length.

2) The ratio of any diagonal to any side is [tex]\sqrt{2}[/tex].

In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below?

Answers

Answer:commutative property

Step-by-step explanation:

Did it on edge


A kite flying in the air has a 78-string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52°. Find the height of the kite. Round
your answer to the nearest tenth.

Answers

Answer:

sine 52 degrees = height / 78

height = 78 * sine 52

height = 78 * 0.78801

height = 61.46478 feet

rounded to nearest tenth 61.5 feet

Step-by-step explanation:

A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?

Answers

Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Identify each expression and value that represents the area under the curve y= x^2+4 on the interval [-3, 2].

Answers

The area is given exactly by the definite integral,

[tex]\displaystyle\int_{-3}^2(x^2+4)\,\mathrm dx=\left(\frac{x^3}3+5x\right)\bigg|_{-3}^2=\frac{95}3\approx31.67[/tex]

We can write this as a Riemann sum, i.e. the infinite sum of rectangular areas:

• Split up the integration interval into n equally-spaced subintervals, each with length (2 - (-3))/n = 5/n - - this will be the width of each rectangle. The intervals would then be

[-3, -3 + 5/n], [-3 + 5/n, -3 + 10/n], …, [-3 + 5(n - 1)/n, 2]

• Over each subinterval, take the function value at some point x * to be the height.

Then the area is given by

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\Delta x_k=\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\frac5n[/tex]

Now, if we take x * to be the left endpoint of each subinterval, we have

x * = -3 + 5(k - 1)/n   →   f (x *) = (-3 + 5(k - 1)/n)² + 4

If we instead take x * to be the right endpoint, then

x * = -3 + 5k/n   →   f (x *) = (-3 + 5k/n)² + 4

So as a Riemann sum, the area is represented by

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\left(-3+\frac{5k}n\right)^2+4\right)\frac5n[/tex]

and if you expand the summand, this is the same as

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(13-\frac{30k}n+\frac{25k^2}{n^2}\right)\frac5n=\lim_{n\to\infty}\sum_{k=1}^n\left(\frac{65}n-\frac{150k}{n^2}+\frac{125k^2}{n^3}\right)[/tex]

So from the given choices, the correct ones are

• row 1, column 1

• row 2, column 2

• row 4, column 2

Answer:

Step-by-step explanation:

a vacuum had been marked down by 20% and solf for $250. What was the original price of the vacuum?

Answers

Answer:

The original price was $312.50

Step-by-step explanation:

If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.

Let's set up an equation.

80/100 of x = 250

0.8 • x = 250

Divide both sides by 0.8.

x = 312.50

The original price was $312.50

Hope this helps!

Answer:

I think the answer is 250.00

Step-by-step explanation:

Let the original price = x

  Original Price     -     Markdown       =     Sales Price

       x                 -     (20%)x           =         $250

  Note: 20% may be 0.20 or 20/100 as needed by the problem.

       x                -    0.20x                =         $250

      0.80x = $250

           x =   $312.50

Check:

     Is      312.50  -  (0.20)312.50  = 250.00   ?

               (0.80)(312.50) = 250.00   ?

                    250.00 = 250.00   ?yes

Hope this help you! :)

       


Find the slope, or rate of change, from the following ordered pair: (-2, 17) and (-1,5)

Answers

Answer:

Slope, m = -12

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-2, -1)

Points on the y-axis (y1, y2) = (17, 5)

To find the slope, m;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {5 - 17}{-1 - (-2)} [/tex]

[tex] Slope, m = \frac {-12}{-1 + 2} [/tex]

[tex] Slope, m = \frac {-12}{1} [/tex]

Slope, m = -12

Please help meeeeeee

Answers

The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.

Step-by-step explanation:

The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)

The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of 250 square feet (ft^2) and a standard deviation of 2 ft^2 . To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2 .

Find the probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true.


0.4207


0.0228


0.5793


0.7364


0.2636

Answers

Answer: 0.4207

Step-by-step explanation:

Let [tex]\overline{x}[/tex] be the sample mean area.

Given: Population mean : [tex]\mu=250[/tex] sq. feet

Standard deviation: [tex]\sigma=2[/tex] sq. feet

Sample size : n= 10

The probability that the sample mean area is [tex]249.6 \text{ ft}^2[/tex] or less if the manufacturer’s claim is true.

[tex]P(\overline{x}<249.6)=P(\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{249.6-250}{2})\\\\= P(z<-0.2)\ \ \ \ [z=\dfrac{\overline{x}-\mu}{\sigma}]\\\\=1-P(z<0.2)\\=1- 0.5793\\\\=0.4207[/tex]

Required probability = 0.4207

Using the normal distribution and the central limit theorem, it is found that the probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true is of 0.2636.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of 250 ft², hence [tex]\mu = 250[/tex].The standard deviation is of 2 ft², hence [tex]\sigma = 2[/tex].A sample of 10 rolls is taken, hence [tex]n = 10, s = \frac{2}{\sqrt{10}}[/tex].

The probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true is the p-value of Z when X = 249.6, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{249.6 - 250}{\frac{2}{\sqrt{10}}}[/tex]

[tex]Z = -0.6325[/tex]

[tex]Z = -0.6325[/tex] has a p-value of 0.2636, which is the probability.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Calculator display for
1/9

Answers

1/9 on a calculator is 0.11111111

Answer:

Here ya go :)

Step-by-step explanation:

Hope this helps!

Have a nice day <3

I need your help ASAP

Answers

9514 1404 393

Answer:

  12.  x = 5

  13.  -8, 0

  14.  6

Step-by-step explanation:

12. The area of a square with side length s is ...

  A = s²

The problem statement tells us the relationship between the areas is ...

  (x cm)² = (1/9)(15 cm)²

Taking the square root, we have ...

  x cm = (1/3)(15 cm)

  x cm = 5 cm . . . . . . . simplify

  x = 5

__

13. The rule is ...

  a[n] = (a[n-1] +8)/2 = (1/2)a[n-1] +4

For a[1] = -24, a[2] = (1/2)(-24) +4 = -8

For a[2] = -8, a[3] = (1/2)(-8) +4 = 0

The next two terms are -8 and 0.

__

14. The rule is ...

  a[n] = (a[n-1] -1)×5

Solving for the previous term, we find ...

  a[n] = 5·a[n-1] -5 . . . . . eliminate parentheses

  a[n] +5 = 5·a[n -1] . . . . add 5

  a[n-1] = (a[n] +5)/5 . . . . divide by 5

For a[3] = 120, a[2] = (120 +5)/5 = 25

For a[2] = 25, a[1] = (25 +5)/5 = 6

The first term of the sequence is 6.

Please help, I’m not sure if I’m doing this right (math). 9 says 9x-47 btw.

Answers

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

I need work shown as well

Answers

Answer:

A

Step-by-step explanation:

area of the triangle is 5 x 2/ 2 which is 5

area of the square is 25

area of the semi circle is 1/2 * 3.14 * 2.5^2 which is 9.8125

9.8125. + 25 + 5 = 39.8125

Which shape have both parallel and perpendicular sides?

Answers

Answer:

a square

Step-by-step explanation:

all the sides are either perpendicular or parallel

The answer is rectangles.
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