A card is drawn from the cards numbered from 8 to 27, find the probability that drawn card is divisible by 6 or 7 without remainder.​

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

from 8 to 27, there are 5 number that are divisible by 6 or 7.

=>       12,14,18,21,24

=>       number of favourable outcomes = 5

=>       numer of possible outcomes = 20

probability = no. of favourable outcomes/ no. of possible outcomes

=>       probability = 5/20

=>       5/20 = 1/4


Related Questions

Please help! My teacher says if I don’t get at LEAST an 80 she’ll fail me-

Answers

Answer:

5/6, or about 0.833

Step-by-step explanation:

For student 7, the tack landed point up 5 times out of 6. So for student 7, the experimental probability that the tack lands point up is 5/6, or about 0.833.

How many solutions does the system of equations below have?

y = 8x - 7

y = 8x + 4/5

no solution
one solution
infinitely many solutions

Answers

Answer: No Solution

Step-by-step explanation:

To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.

However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.

7 can never equal 4/5, so there is no solution :)

PLEASE HELP !
The radius of circle L is 22cm what is the lenght of its diameter ? A. 88cm B. 44 cm C. 22cm D. 11cm

Answers

Answer:

B. 44cm

Step-by-step explanation:

d(diameter) = 2r (radius)

d = 2 X 22 cm

d = 44 cm

Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4

Answers

Answer:

Step-by-step explanation:

He is incorrect.

We are not only subtracting 1 from 5 but 1/4 also,  so the result has to be less than 4.

5 - 1 1/4

= 5 - 1 -1/4

= 3 3/4.

4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP

Answers

Answer:

d. 10a + 5b

Step-by-step explanation:

5(a + a + b) = 5(2a + b)

use the distributive property:

a(b + c) = ab + ac

= 5 · 2a + 5 · b =10a + 5b

Answer:

[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ 5(a+a+b)

⇒ a+a=2a

Rewrite the problem down.

[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]

Multiply should be expanded.

⇒ 5*2a=10a

⇒ 5*b=5b

Rewrite the problem.

⇒ = 10a+5b

Therefore, the final answer is 10a+5b.

I hope this helps you! Let me know if my answer is wrong or not.

Find the value of x and y​

Answers

Answer:

x=120

y=60

Step-by-step explanation:

i) y=60 [ corresponding angles]

ii) x + 60 = 180 [linear pair]

or, x = 180- 60

therefore, x is equal to 120

Is my answer correct?

Answers

Answer:

yes

Step-by-step explanation:

YOU DID IT'S A GOOD DAY

HELP PLEASE!!!!

Mr. Smith earns $75 a day plus $35 for each car he sells. Ife is the amount he earned and is the number of cars he sold, which expression below shows how much Mr. Smith will earn in a day?
Ooor 76
O35675
On 350

Answers

Answer:

should be 110

Step-by-step explanation:

hope that helps!

find the approximate radius of a circle with circumference of 198 centimeters

Answers

Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm

Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Answers

Answer:

Option A

Step-by-step explanation:

Given:

Angle=45°Base= 9hypotenuse = x

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

Sharlotta's favorite candy is pixie sticks. A packet of 6 pixie sticks cost $ .42. How many packets of pixie sticks can Sharlotta buy for $13.02

Answers

the answer is 29.02

first I had to find out if it was cents or dollars I just thought of cents

so I did 42 cent minus 13.02 and that equals to 29.02

Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The remaining space is filled with packing beads. What is the volume occupied by the spheres?

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

Answers

Answer:

670.21 inches^3

Step-by-step explanation:

To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:

V = 33.51032

Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.

V = 20 * 33.51032

V = 670.2064

If you round to 2 decimal places, this becomes 670.21.

AC, DF and YZ are straight lines and all angles are in degrees.
By first considering the angles
on line ABC, show that AC is
parallel to DF.

Answers

Answer:

ac is parallel to df because it doesn't intersect with each other

Angles on a straight line sum to 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
X = 35
IF line AC and DF were parallel, this means that 2x + 50 = 5x - 55 because corresponding angles are equal
2(35) + 50 = 120
5(35) - 55 = 120
Thus, AC is parallel to DF

The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?

Answers

700 adults and 1,500 children

(I don't really know how to explain it though.)

if the circumference of a circle is 4πrcm, find diameter​

Answers

Answer:

1.274cm

Step-by-step explanation:

Solve
-6=|3x|

A. X =2;x=-2

B. X=12;x=-12

C. X= 1/2; x = -1/2

D. No solution

Answers

Answer:

D. [tex]\displaystyle No\:Solution[/tex]

Explanation:

The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:

[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]

The negative absolute value of an integer however, IS negative.

I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.

What other properties of a kite am I missing?

Answers

Answer:

all angles are congruent

please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10

Answers

Answer:

0.736

Step-by-step explanation:

Answer:

7.36

Step-by-step explanation:

Calculator...

Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Answers

The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Speed

Let x be the speed of the current in km/h units

Speed of the boat traveling against the current= (15-x) km/h

Time spent traveling 36 miles against the current=36/15-x hours

Time spent rafting36miles (with the current) =35/x hours

Equation=36/x-36/15-x=9

Multiply both sides by x×(15-x)

36×(15-x) - 36x = 9x×(15-x)

540 - 36x - 36x=135x-9x²

9x²-207x+540=0

x²-23x+60=0

(x-3)×(x-30) = 0

Roots are x= 3 and  x= 30

Since 15-x must be positive, the only root x = 3 survives

Hence:

Speed =3 km/h

Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Learn more about speed here:https://brainly.com/question/4931057

the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter.

Answers

Answer:

13.5 in, or 34.3 cm.

Step-by-step explanation:

First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.

Hopefully this helps- let me know if you have any questions!

Sammy’s dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours?

Answers

Answer:

distance in 3 hours = 150 miles

distance in 1 hour = 150/3 = 50 miles

distance in 9 hours = 50 × 9 = 450 miles

Answer:

Sammy's dad traveled 450 miles in 9 hours.

Step-by-step explanation:

mph = [tex]\frac{Miles}{Hours}[/tex]

Miles = 150

Hours = 3

Plug into the formula of distance/time

[tex]\frac{150}{3} = 50mph[/tex]

Sammy's dad is driving at 50mph

In three hours you can use this formula:  [tex]50mph=\frac{miles}{9}[/tex]

Multiply both sides by 9:  [tex]50mph * 9 =\frac{miles}{9} *9[/tex]

Solve:

[tex]50mph * 9 =miles[/tex]

[tex]450 =miles[/tex]

Sammy's dad traveled 450 miles in 9 hours.

Hope this helped! :)

What is the least common multiple? 48, 10​

Answers

Answer:

240

Step-by-step explanation:

if 45% of an item is 72.00 what is the original price. someone help me

Answers

Answer:

45% x 72.00 = 32.4

Step-by-step explanation:

hope this helped :)

Answer:

If 45% of an item is 72.00 what is the original price is, $160.00

Step-by-step explanation:

The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5

Answers

Answer:

The graph of g is translated down 5 units from the graph of f and stretched horizontally

Step-by-step explanation:

was correct on test :)

pls brainliest XD

.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.

What are the solution(s) for the quadratic equation?

f(x)=x^2+12x+36

Please show work!

Answers

Let's see

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

[tex]\\ \rm\rightarrowtail x=-6[/tex]

HELLP HURRY I WILL GIVE BRAINLIEST
Use the graph.

Answers

Answer:

A

Step-by-step explanation:

From inspection of the graph:

a = 3 unitsb = 6 unitsc = 2 unitsd = 4 units

[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]

[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]

[tex]\dfrac{d}{c}=\dfrac42=2[/tex]

[tex]ab=3 \cdot 6 = 18[/tex]

[tex]cd=2 \cdot 4 = 8[/tex]

[tex]a+b=3+6=9[/tex]

[tex]c+d=2+4=6[/tex]

Therefore, the only expressions that are equal are:

[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]

What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!​

Answers

Angle L
SinL = 6/10
L = sin-1(6/10)

L = 36.87°

Angle F
SinF =8/10
F = sin-1(8/10)

F= 53.13°

If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays

Answers

Answer:

parallel

Step-by-step explanation:

If the distance between two lines never changes, they are parallel lines.

Answer:

parallel

Step-by-step explanation:

parallel lines never have a distance change between them

5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13

Answers

Answer:

The answer would be A) 4

a)0.76×0.004

b)0.078÷0.5

c)0.834+0.79

d)0.0034-0.0078

Answers

.00304
.156
1.624
-.0044
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