Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5

Answers

Answer 1

Answer:

The probability is zero

Step-by-step explanation:

For a number to be a multiple of 5, the number must end with either 0 or 5

These are the only numbers in which we can have 5 as a factor of

Now when we raise 2 to any number, there are only some sets of possible results

These numbers are only multiples of 2

These can be;

2, 4, 6 and 8

No root of two has its end in 0 or 5, so none has 5 has its factor

Let us now look at 3

The multiples of 3 when raised are;

3,9,1,7,

As we can see, at no point do we have 5 or 0 as the result

So since we have none of both as ending 5 or 0, the probability we are looking for is zero


Related Questions

PLEASEEE HELPP

solve for x

x/4 ≥ -8


x ≥ -2

x ≥ -32

x ≤ -32

x ≤ -2

Answers

Answer:

Step-by-step explanation:

X/4 ≥ -8

4 x X/4 ≥ -8 x 4

X ≥ -32

What is the value of x?​

Answers

Answer:

1 is the value of x

Step-by-step explanation:

...............

What triangle is this ????Pleaseeee helppp !!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!

Answers

Answer: equilateral

Step-by-step explanation:

Answer:

equalateral (i know i spelled it wrong)

Step-by-step explanation:

they all have the same lengths -6.07-

Ms. Davis counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the number of pencils. Is your estimate an underestimate or an overestimate? The find the exact answer.

Answers

Answer:

Estimated amount of pencils = 2040 pencils

Exact amount of pencils = 2160 pencils

Step-by-step explanation:

Estimated amount of pencils are calculated by:

rounding up the numbers to the nearest tens

large box= 144 pencils = 140 pencils

small box = 24 pencils = 20 pencils

Estimated number of pencils =

(12 × 140) + (18 × 20)

= 1680 + 360

= 2040 pencils

This is an underestimate

The exact number of pencils is calculated as:

(12 × 144 pencils ) + (18 × 24 pencils)

= 1728 pencils + 432

= 2160 pencils

Using the given​ diagram, solve for x.

Answers

X equals 20 degrees

The table below represents a linear function f(x) and the equation represents a function g(x):



Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer:

Step-by-step explanation:

Part A

for f(x) slope between points (-1,-6) and (1,0)

m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3

for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5

The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper

part B

The y intercept for g(x) is  (0, -5)

The equation of f(x) can be found

y-y1 =m(x-x1) take any point for example point (1,0)

y-1 =3(x-0)

y=3x+1 so the y-intercept is at (0,1)

The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5

Please help! I’ll give brainliest!

Answers

Answer:

8

Step-by-step explanation:

it would be 8 as 17 is on the y axis and then you go along the corridor and down the stairs and the dot is on 8

Answer:

8

Step-by-step explanation:

scale goes up in 2s

read from X axis

Write the value of 3 in the following number: 998.736I

Answers

Answer:

Hundreths 3 is in the hundreths

Step-by-step explanation:

Answer: 3 is in the (hundredths)

Explanation: because ‘1’ is in the ones place
‘6’ is in the tenths place
so ‘3’ is in the hundredths

What is -2(g+5) please help :)

Answers

Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

-2g-10

Step-by-step explanation:

-2(g+5)

Use the distributive property to simplify the equation

(-2*g)+(5*-2)

(-2g)+(-10)

-2g-10

Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.

This is a test my sister made to see how smart I am plz help.

Answers

Answer:

16.) second choice: (5,-6)

17.) third choice: (-10) (-8) (-5) (0) (1)

18.) fourth choice: (.18) (0.4) (1/4) (227)

13) How do you know when to use the mean or median as the best measure of center?​

Answers

Answer:

The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.

Step-by-step explanation:

hope this helps

What is the y-intercept of the graph of the linear function?

Answers

Answer:

Your y-intercept will be -6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

The y-intercept of a graph is the point on the graph where the line crosses the y-axis (vertical line). In this case, it was -6.

**please mark brainliest!!

On a​ team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Answers

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a​ team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

ANSWER THE QUESTION AND EXPLAIN plz

A school is going on a trip. There will be 5 busses to take the students. On each bus, there are 70 seats. Teachers will sit in 2 of the seats on each bus.
°How many seats are available for students on the busses?
A. 340
B. 68
C. 72
D. 350

Answers

Answer:

A: 340

Step-by-step explanation:

If there are five busses and 70 seats with two seats taken on two busses the steps are.

1. 5x70=350 this means there are 350 seats on the buses.

2. 5x2=10 this means there are 10 seats taken by the teachers.

3. 350-10=340 this means there are 340 available seats.

Answer: A: 340

Question 5
3 pts
A map has a scale of 2 inches = 3 miles. If two towns are nine inches apart on the map, how
far are they actually apart?
O 13.5 miles
O 6 miles
O 13.5 inches
O 54 miles
< Previous
Next

Answers

13.5

multiply the scale by 4 so
8 inches = 12 miles

then add on half to make it 9 inches
1 inch = 1.5 miles

add them together
9 inches = 13.5 miles

HELP ASAP! Will mark brainliest! Please give actual, correct answers because this is very important.

Answers

Answer:

1.) -t (r - s)

   -3 (-6 - 3)

   16 + 6

   22

2.) B

   A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.

3.) I`m sorry I`m not too sure about this one

I hope the first couple helped, I`m sorry I don`t know the last one.

How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters?

Answers

Answer:

12 meters

Step-by-step explanation:

Area of square = 144 Sq m

[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]

Wally-Mart buys bicycles for $25 and sells them for $45. What is the percent increase in the price?

Answers

Answer:

80% increase

Step-by-step explanation:

Determine whether the relation is a function. Quick EMERGENCY ​

Answers

Answer

no

Explanation

.

Answer:

Not a function

Step-by-step explanation:

A function is supposed to be one input, one output, and an input can't have two different answers. The input 3 wields two different answers, so it can't be a function

Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)

Answers

Answer:

k=9

HOPE THIS IS CORRECT!

Answer:

k =9

Step-by-step explanation:

I'm just built different

33+36 is the same as Blank +29

Answers

40 is the answer to the problem.

PLA ANSWER I DONT KNOW THIS

Answers

Answer:

x=45

Step-by-step explanation:

I can give you two solutions

First solution:

In [tex]\triangle FBA[/tex] we know that

[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]

same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]

so we have that

[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]

we leave it like that because it's convenient

Now by properties of parallelograms we know that opposite sides add up to 180

[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]

so one angle is 45  and the other one is 135

Solution 2

if we look at DEBF we can say that it's a cyclic quadrilateral

because opposite sides add up to 180

in our case

[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]

so for the other to angles is also true

[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]

so that's the measure of one angle of the parallelogram

the other angle x is

[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]

There you go choose yourself

PLZ HELP, GIVING BRAINLIEST!!!
Use the graph to state the intervals of increase and decrease. (Check pic below to find the graph and answer choices)

Answers

Answer:

B

Step-by-step explanation:

Pretty much what the solution says. Increasing from -∞ to 0, then 2 to ∞. Decreasing between 0 and 2.

Hope this helps!

A shop keeper purchased 200 bulbs for Rs.10 each. However 5 bulbs were fused and had to
be thrown away. The remaining were sold at Rs.12 each. Find the gain or loss %

Answers

Answer: 17%

Step-by-step explanation:

A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:

= 200 × 10

= 2000

Since 5 bulbs were fused and had to

be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:

= 195 × 12

= 2340

Gain would be:

= 2340 - 2000

= 340

Gain percent would be:

= Gain / Cost price × 100

= 340/2000 × 100

= 17%

PLEASE HELP 20 POINTS AND BRAINLIEST!!!! PLEASE HELP!!!!!

water is added or drained from a tank each day. The first day, 9/10 of a gallon is added to the empty tank. The second day, 7/10 of a gallon is drained from the tank. The third day, 8/10 of a gallon is added to the tank. The fourth day, 6/10 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by

9/10+(−7/10)+8/10+(−6/10)+⋯+3/10+(−1/10)+2/10.

Answers

Answer:

on the 15th day, there will be 14/10, or 7/5, or 1 2/5, or 1.4 of a gallon in the tank

Step-by-step explanation:

Dhdhdhdhdhdhdhdhhsqh. Dhdhdhdhdhdh

I need help please ​Will mark brainliest ​

Answers

Answer:

answer 1

78

answer2

89

answer3

12

answer4

21

Step-by-step explanation:

Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28

Answers

Answer:

b. 14

Step-by-step explanation:

How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?

Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

What did you include in your response? Check all that apply.

The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.

Answers

It would be the shaded area solution
Then response
Then inequalities
Then reverse
Include in your response
Dbgt
2x+ 1/3
Dont shade intop
Put shaded on bottom
Put grilled cheesy ontop number
Then fraction t
Then the patty the solution
Then another shaded graph on top
The perfect marh sanwhich
Explanation
Nate robinson challenge

Answer:

all of them.

Step-by-step explanation:

Hope this helps!

<3

~nxmbus

Can somebody help me out with this ??? please .

Answers

Answer:

Step-by-step explanation:

you have alternate angles, which are equal

6z-91=71

6z=71+91=162

z=162/6=27

z=27

y=180-27=153

a group of students organized a car wash to raise money for charity. The students charged 5$ for each car they washed. In 3 hours they washed 12 cars.At that rate, how many cars could they wash in 8 hours

Answers

Answer:

8hours=8/3×12=32cars

Step-by-step explanation:

Answer:

8hours=8/3×12=32cars

Step-by-step explanation:

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