Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting
two prime numbers?

Answers

Answer 1

Answer: 1/6

Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.


Related Questions

Part 014 The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.4% of the average daily balance. Calculate parts a-d using the statement in the popup Click the icon to view the credit card statement a Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $ (Round to the nearest cent as needed.)

Answers

The average daily balance of the transactions given for the billing period will be $1798.

How to calculate the average daily balance?

From the complete question, the average daily balance is completed below:

Billing date = 2645.92 × 5 = $13229.6

Repayment on June 6 = $1345.92 × 2 = $2691.84

June 8 = $1381.85

June 9: = $1518.53 × 8 = $12148.24

Gas = $1560.90

Groceries = $1687.37 × 10 = $16873.70

Clothing = $1902.49 × 4 = $7609.96

Total = $53935.19

Therefore, the average daily balance will be:

= $53935 / 30

= $1798

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At a competition of 8 teams, the order of the first three is recorded, How Many different outcomes does the competition have​

Answers

Answer:

366 possible outcomes

Step-by-step explanation:

just took a test on edge

Solve: |x+2|=3

Can someone explain how to do this

Answers

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3


SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1


Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


Therefore, your answer is: x = 1 or x = -5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Pleade god help me find someone to help me thank you

Answers

Answer:

yw

Step-by-step explanation:

makin a chart :)

Determine whether the given value is a solution of the equation.

Answers

Answer:

Is a solution

Step-by-step explanation:

Just do the division [tex]\frac{52}{13}[/tex]

Yes it is a solution.
Substitute b = 52 in the equation,
52/13=4
4= 4
The equation is justified. So b =52 is the solution

What is the area of this trapezoid? units 2

Answers

area of trapezoid: 153 units²

Here given information:

height : 9side 1 : 10side 2 : 7 + 10 + 7 = 24

trapezium area = [tex]\sf \frac{1}{2}[/tex] * ( side 1 + side 2 ) * height

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 10 + 24) * 9[/tex]

[tex]\hookrightarrow \sf 153 \ units^2[/tex]

you’d work out the area of the triangles first so you’d half the base and multiply by the height of it. then multiply that by 2 as there are 2 identical triangles. which gives you 63. then you work out the area of the rectangle which is 90. you then do 90+63 to get 153

A fence has three posts, equally spaced.Each post is 15 centimetres wide.The length of the fence is 153 centimetres.

Answers

Answer:

Step-by-step explanation:

because there are 3 posts we need to remove 15 x 3 = 45

153- 45 = 108

108/2 = 54 cm between each post

Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?

Answers

20.124

Step-by-step explanation:

remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so

9 x 9 = 81

18 x 18 = 324

324+81 = 405

now you have to sq root it (20.1246)

Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot

Answers

Answer:

Beach parking lot is the right answer.

Step-by-step explanation:

the beach parking is near the beach refreshment stand.

pls mark branliest.

Write the given expression in terms of x and y only sin(tan^-1(x)+tan^-1(y)

Answers

Answer:

Step-by-step explanation:

Let a = tan⁻¹(x), so tan(a) = x,

[tex]\sin(a)=\frac{x}{\sqrt{1+x^2}}, \cos(a)=\frac{1}{\sqrt{1+x^2}},[/tex]

Let b = tan⁻¹(y), so tan(b) = y,

[tex]\sin(b)=\frac{y}{\sqrt{1+y^2}}, \cos(b)=\frac{1}{\sqrt{1+y^2}},[/tex]

sin( tan⁻¹(x) +  tan⁻¹(y)) = sin(a + b)

= sin(a) cos(b) + cos(a)sin(b)

= [tex]\frac{x}{\sqrt{1+x^2}}\times\frac{1}{\sqrt{1+y^2}}+ \frac{y}{\sqrt{1+y^2}}\times\frac{1}{\sqrt{1+x^2}}[/tex]

[tex]=\frac{x+y}{\sqrt{(1+x^2)(1+y^2)}}[/tex]

What is the equation for the circle with center (-9, 5) and radius 4

Answers

Answer:

[tex]\sf (x+9)^2+(y-5)^2=16[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given:

center = (-9, 5)radius = 4

Substituting given values into the equation:

[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]

[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]

(h,k)=(-9,5)r=4

Equation:-

(x-h)²+(y-k)²=r^2(x-(-9))2+(y-5)^2=4^2(x+9)^2+(y-5)^2=16x^2+18x+81+y^2-10x+25=16[/tex][tex]\\ \rm\rightarrowtail x^2+y^2+8x+90=0[/tex]

A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?

3
4
5
6

Answers

The clock skipped 3 seconds every 30 mins (on average)

The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds

What is the clock skip reading?

We know that from time conversion;

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.

Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;

Friday = 48 × (3/4)  = 24

Saturday = 48

Sunday = 48

Monday = 48 × (3/4)  = 36

Total times = 24 + 48 + 48 + 36 = 156

Thus, it means that there was 156 times of  30-minutes that have passed during the time period.

x = 468 seconds ÷ 156

x = 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

Read more about Least common multiple at; https://brainly.com/question/10749076

What is the area of the blue shaded region in the figure?

Answers

Answer:

B. 90 in²

Area of white triangle

3×4/2

12/2 = 6 in²

Area of blue triangle

12×16/2

192/2= 96in²

96in² - 6in² = 90 in²

Scott needs to replace a broken window at his house. The window is shaped like a triangle with dimensions shown below if glass costs $18.75 per square foot, how much with the replacement window cost?​

Answers

Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

What is a Triangle?

A triangle is simply a polygon with three vertices, three side and three sides.

An equilateral triangle is of triangle with all its three sides equal in length.

There area of an equilateral triangle is expressed as;

A = (√3/4) × a²

Where a is the length of the sides.

Given the data in the question;

Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?

First we determine the area of the window which is in the shape of an equilateral triangle.

A = (√3/4) × a²

A = (√3/4) × (15ft)²

A = (√3/4) × 225ft²

A = 97.4279ft²

Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.

CoW = A × C

CoW = 97.4279ft² × $18.75 per ft²

CoW = 1826.77$

Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.

Learn more about area of triangles here: https://brainly.com/question/19305981

can someone help me please​

Answers

Answer:

y=x-5

Step-by-step explanation:

try that my good sir

Do this fast please, I don't have a lot of time! You will literally gain 100 points answering this!

A baker used 5 7/10 bags of flour one week. The same baker used 7 3?10 bags the next week. How many more bags of flour did the baker use the second week than the first week?


Just say A,B,C or D, and then the step by step explanation

Answers

So first y do is is add 5+7 and add 3/10 + 7/10 equal 10/10 so 5+7 + 1 is 13 she used 13 bags of flour the second week she used 1 more than last week

Answer:

1.6

Step-by-step explanation:

Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]

give me list of letter arrangement and number arangement

Answers

Answer:

what the heck question is this

Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The
grand-prize is a ten-speed mountain bike. Which word or phrase describes the
probability that she will win the raffle if she buys all the tickets?

A. An equal chance or 50-50
B. Certain
C. Unlikely
D. Likely

Answers

Answer:

Certain

Step-by-step explanation:

If she buys all of them, no one else has a chance because there is no other tickets

What is the mean of the set of data below?

Answers

Answer:

Mean = 8

Step-by-step explanation:

add all the numbers

2+3+5+6+8+11+11+12+14 = 72

then divide by how many number there are which is 9

72 / 9 = 8

The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?

Answers

Answer:

the answer is 4,750

Step-by-step explanation:

just multiply 950x5

950x5 =4,750 That would be the answer of the volume of five water bottles in meters

Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennon’s car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay?

Answers

The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.

How to compute the insurance?

From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.

The amount paid by the insurance company will be:

= $24000 + $1450

= $25450

When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.

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Which ordered pair is a solution to the following system of inequalities

Answers

B. You can determine this by remember that the ordered pair is like a coordinate, the first digit represents the x and the second represents the y. Plug them in to both equations and if they work in both then it’s a solution, if it works in only one it is not.

What are the x-intercepts of this conic section?



(−3, 0) and (3, 0)

no x-intercepts

(0, −3) and (0, 3)

(−3, 3) and (3, −3)

Answers

Answer:

  (x, y) = (-3, 0) and (3, 0)

Step-by-step explanation:

The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.

This graph crosses the x-axis at x = ±3. The x-inercepts are ...

  (x, y) = (-3, 0) and (3, 0)

Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.

Answers

The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3

How to write and solve equation?

let

x = unknown number

2x + 1 = 4 + x

collect like terms

2x - x = 4 - 1

solve

x = 3

Therefore, the unknown number is 3

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Points P and Q are respectively 4m North and 3m East of point R. Calculate the distance between point P and Q​

Answers

PR=4mQR=3m

Apply Pythagorean theorem

PQ²=QR²+PR²PQ²=4²+3²PQ²=5²PQ=5m

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Point P is 4m north (↑) of Point RPoint Q is 3m east (→) of Point R

Using Pythagorean Theorem (applicable for only right triangles)

PQ = √4² + 3²PQ = √25PQ = 5 m

Hope it helped~

The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s volume would be _ of its original volume

Answers

Answer:

First Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

We have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]

Second Part

Given that

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

If the Diameter were reduced by half we have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]

This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume

Step-by-step explanation:

First Part

Gather Information

[tex]Diameter = 18cm[/tex]

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Calculate Radius from Diameter

[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]

Use the Radius on the Volume formula

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]

Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s

[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]

We can see now that one of the 3s can be already divided by the 3 in the denominator

[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]

Finally, since we can't simplify anymore we just calculate it's volume

[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]

[tex]Volume \approx 3053.63 cm^{3}[/tex]

Second Part

Understanding how the Diameter reduced by half would change the Radius

[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]

Understanding how the Radius now changes the Volume

[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]

With the original Diameter, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]

If the Diameter were reduced by half, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]

But we can see that the numerator is exactly the original Volume!

This shows us that the Volume would be  [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.

Need help, Brainliest if correct, Don’t answer if you don’t know.

Answers

the measure of angle c is 120

Answer:

C = M = 120

i hope this helps

3. A shirt in a store usually costs $15.99, but today it's on sale for
25% off. The clerk says you will save $4.50. Is that true?
4. A book that usually costs $12 is on sale for 25% off.
How much will it cost?
5. After you answer 60% of 150 math problems, how many do
you have left to do?
90
6. A pet store's shipment of tropical fish was delayed. Nearly
40% of the 1,350 fish died. About how many lived?
7. The shipment had 230 angelfish, which died in the same
proportion as the other kinds of fish. About how many
angelfish died?
8. A church youth group was collecting cans of food. Their goal
was 1,200 cans, but they exceeded their goal by 25%. How
many cans did they collect?

Answers

Step-by-step explanation:

3)

25% of 15.99=0.25×15.99=3.9975

Nope you will save about 4 dollars.

4)

12$ is 100% of its price

If there is a 25% discount, it will cost 75% of its original value.

75% of 12=0.75×12=9

It will cost 9 dollars

5)

You have 40% left of 150

so, 0.4(150)=60

You ANSWERED 90 but you still have 60 remaining.

6)

60% of 1350 lived since 40% died

0.6×1350=810

about 810 lived

7)

40% of the angelfish died

0.4×230=92

92 angelfish died

8)

The collected 125% of what they expected

1.25×1200=1500

They collected 1500 cans

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of

Answers

The probability that the next person will purchase exactly one costume is given by: 68/399

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The total number of visitors to the website is 314 + 68 + 17 = 399.

Out of these 399 visitors, 68 purchased exactly one costume.

Therefore, the probability that the next person will purchase exactly one costume is given by:

68/399

This fraction cannot be simplified any further, so the final answer is:

68/399.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

Solve 2 a 2 − 5 a − 25 = 0 by factoring. Enter your answers below a = or a =

Answers

Answer:

a=5, a=-2.5

Step-by-step explanation:

Given:

[tex]2 a^2 - 5 a - 25 = 0[/tex]

Solution:

[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-25\right)}}{2\cdot \:2}[/tex]

[tex]a_{1,\:2}=\frac{-\left(-5\right)\pm \:15}{2\cdot \:2}[/tex]

[tex]a_1=\frac{-\left(-5\right)+15}{2\cdot \:2},\:a_2=\frac{-\left(-5\right)-15}{2\cdot \:2}[/tex]

[tex]a=5,\:a=-2.5[/tex]

~Lenvy~

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