We have 12 pens in total
P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =
(1/4) * (1/4) * (1/4) =
1/ 64
The required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of sample = 12
Favorable outcome = 3
Required probability that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
= 1 / 64
Thus, the required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Learn more about probability here:
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9) The present ages of Juna and Jubin are in the ratio 5:8. After 4 years the sum
of their ages will be 34. Find their present ages.
Answer:
Present age of Juna = 10 years
Present age of Jubin = 16 years
Step-by-step explanation:
Ratio of present ages = 5: 8
Let the present ages of:
Juna be 5x years and Jubin be 8x years
(where x is the common multiplier of the given ratios)
Four years after:
Juna's age = (5x + 4) years
Jubin's age = (8x + 4) years
According to the question:
(5x + 4) + (8x + 4) = 34
13x + 8 = 34
13x = 34 - 8
13x = 26
x = 26/13
x = 2
5x = 5*2 = 10 years
8x = 8*2 = 16 years
Hence,
Present age of Juna = 10 years
Present age of Jubin = 16 years
some body help meee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
This is a vertical line.
Vertical lines are of the form x= since the x value does not change
x=3
The radius of a sphere is 3 inches. Which represents the volume of the sphere? o 12pie cubic inches 36pie cubic inches O 64pie cubic inches 81pie cubic inches
Answer:
36 pie cubic inches
Step-by-step explanation:
Use the formula: [tex]V = \frac{4}{3} \pi r^{3}[/tex]
Plug in the value for radius and solve:
[tex]V = \frac{4}{3} \pi 3^{3}[/tex]
Becuase of the nature of the answer options, you only have to solve to a certain point: [tex]V = 36 \pi[/tex]
If (x, 0) lies on the graph of y = logbx , then x =
1
B
0
Answer:
1
Step-by-step explanation:
If Jamie had 12 pencils and she lost 9 what's the fraction left
Answer:
3/12
Step-by-step explanation:
Hope it helps plz give brainliest! :D
Please I need help for this..
Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.
Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works.
Answer: m=1/8h
Step-by-step explanation:
When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.
The product of a number and 16 is equal to the sum of the number and 14
Step-by-step explanation:
let number be x
16x = 14 + x
16x - x = 14
15x = 14
x = 14 ÷ 15
x = 0.9
The volume of a cylinder is 1800cm. if the height of the cylinder is 40cm then the diameter of cylinder is?
Answer:
Step-by-step explanation:
help me on this plz and thank you
By solving for x you get x=6
Answer:
x = 6
Step-by-step explanation:
12x = 72
72/12 = 6
x = 6
peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?
Answer:
it will take him 30 weeks
Step-by-step explanation:
2 weeks = 1 kilogram lost
105-90=15
1 x 15 = 15
2 x 15 = 30
what directed number is suggested by the statement "I gained 3 pounds "?
Answer:
The directed number suggested is +3.
Step-by-step explanation:
A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.
From the given question, let the initial weight be represented by W, then:
I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.
i.e I gained 3 pounds ⇒ W + 3
So that the directed number suggested by the statement is +3.
don invested $ 5 000 in an account paying 5% simple interest per year for 7 years. a) how much interest will don earn at the end of 7 years?b) how much will be in Don's account at the end of 7 years?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the interest earned, we need to use the following formula:
I= P*r*t
I= 5,000*0.05*7
I= $1,750
To calculate the future value of the investment, we need to use the following formula:
FV= I + P
FV= 1,750 + 5,000
FV= $6,750
A circle has a diameter of 6 inches.
Show your work to find the following (use
3.14 for pi):
A) Area of the circle
B) Circumference of the circle
Step-by-step explanation:
to find area
A=Pi x r^2
r = d/2 = 6/2 = 5
to find circumference
u=2 pi r
r=5
What is the area please help
Answer:
I think (b.)154.5cm²is the answer
Plz stop deleting my questions! This is a urgent!!plz help meee!,
Answer:
B
Step-by-step explanation:
Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.
Who’s can help me with this, it is to hard
Answer:
x = 10
MB = 16
CM = 16
CB = 32
Step-by-step explanation:
Since it's the mispoint
2x - 4 = x + 6
Subtract x from both sides
x - 4 = 6
Add 4 to both sides
x = 10
MB = 2x - 4
MB = 20 - 4
MB = 16
CM = x + 6
CM = 16
CB = 16 + 16
CB = 32
f(x)=x-7/x
What is the domain of f?
Answer:
domain: {x ≠ 0}
Step-by-step explanation:
The water level of a certain lake is at 35 feet. Due to recent storms, the water level is rising
at a rate of 3 inches per day. How many days will it take the lake to reach a level of 40 feet? helpppp!!
Answer:
20 days
Step-by-step explanation:
40 feet - 35 feet is 5 feet needed to rise
5 x 12 (inches per foot) =60 inches
60 divided by 3 = 20 days
What is the volume of this?
Answer:
1,832.4
Step-by-step explanation:
To find the base you multiply the radius by itself to pi. Then you multiply that by the height. The next step would be to divide that by 3.
The formula for the area of a triangle is A = (1/2)(b)(h), where A is the area, b is the base, and h is the height.
Find the base of a triangle if its area is 279 square inches and its height is 18 inches.
The answer is 31
Step-by-step explanation:
A = 1/2 bh
279= 1/2b x 18
558 = 18b we divided both side by 18
b=31
Simplify this expression:
5xy-x^t+2xy+3x^t
What is the multiplicative rate of change of the function???
The multiplicative rate of change of the function will be 2/3. Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as,
y = a(b)ˣ
At (1, 6), then we have
6 = a(b)¹
6 = ab ...1
At (2, 4), then we have
4 = a(b)²
4 = ab ...2
Divide equation 2 by equation 1, then we have
ab² / ab = 4 / 6
b = 2 / 3
The multiplicative rate of change of the function will be 2/3. Then the correct option is B.
More about the exponent link is given below.
https://brainly.com/question/5497425
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Find the volume of each prism in page 428
Answer:
Umm why don't you write the question properly first?
help I want to understand how to do this
9514 1404 393
Answer:
arc RS = 100°RS is a minor arcarc ST = 80°Step-by-step explanation:
The measure of an arc of a circle is the same as the measure of the central angle it subtends. That is, arc RS has the same measure as central angle RPS, which is marked as 100°.
Of course, the total of all central angles, hence all arcs, of a circle is 360°. A diameter of a circle cuts the circle in half, so each semicircle has a central angle measure and arc measure of 180°.
Any arc that is more than a semicircle is called a "major" arc. If it is less than a semicircle, it is a "minor" arc. Arcs RS and ST are minor arcs.
As always in geometry, the whole is the sum of the parts, so arcs RS and ST are supplementary. They total the measure of semicircle RST, which is 180°. Then ST = 180° -RS = 180° -100° = 80°.
__
Additional comment
Usually, an arc identified only by its end points is a minor arc. If the major arc is intended, then it will either be described as "major arc RS" or a point on the major arc will be given, as "arc RTS". The measure of arc RTS is 280°.
How many gallons are in 48 pints?
Answer:
6
Step-by-step explanation:
Answer:
There would be 6 gallons.
Step-by-step explanation:
Within a gallon, there are 8 pints. With this in mind, create a ratio of gallons to pints to solve the problem
Gallons : Pints
1 : 8
If we were to have 48 pints, there would therefore be 6 gallons, as 48/6 --> 8
Gallons : Pints
6 : 48
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter
Answer:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
thus our equation is
[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]
cancel out 86° from both sides:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
hence,
the measure of the missing angle is 49°
Answer:
Solution given'
<2+45+86=180°[sum of interior angle of a triangle]
<2=180-131
<2=49°
The circumference of a circle 25.12ft. What is the circle’s diameter (take =3.14
Answer:
Diameter = 8 ft
Step-by-step explanation:
To find diameter, we need to work backwards from the formula for circumference of a circle.
Circumference = 2πr
given that π = 3.14
Circumference = 2*3.14*r
25.12 = 2*3.14*r
25.12 = 6.28 * r
4 = r
Radius = 4
Formula for Diameter =
D = 2r
D = 2*4
D = 8
Diameter = 8
Lets Check
Circumference = 2 * 3.14 * 4
Circumference = 25.12
Correct
If my answer is incorrect, pls correct me!
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-Chetan K
23/100 converted to a decimal
At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?
Pleas help!
Answer:
72 hot chocolates
Step-by-step explanation:
2h + 3g=306 equation 1 h=hot chocolate g=Gatorade
h + g =126. equation 2
h=126-g isolate h in equation 2
2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1
252-2g+3g=306
g=54
solve for h:
h + g = 126
h+54=126
h=72
check answer:
2h + 3g=306
2(72) +3(54)=306
144+162=306
306=306
PLEASE HELP ASAP PLEASE I'VE BEEN UP ALL NIGHT TRYING TO DO IT I DON'T UNDERSTAND PLZ HELPP!!
Answer:
Angle COD=40
Step-by-step explanation:
(2a+62)+ (54-a)+(5a-20)=180
6a+96=180
6a=84
a=14
Angle AOC=2(14)+62=90
Angle COD=54-14=40
Angle DOB=5(14)-20=50
Answer:
Angle COD, 40 degrees
Step-by-step explanation:
Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.
Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.
2a+62+54-a+5a-20
6a+96=180
6a=84
a=14
Next, plug in this value into each of the given angles provided with variables and numbers:
Angle AOB:
2a+62
2(14)+62
28+62
90 degrees
Angle COD:
54-a
54-14
40 degrees
Angle DOB:
5a-20
5(14)-20
70-20
50 degrees
From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.