A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at randomfind each probability.
Answer:
[tex]P(M4\ n\ V) = 2.083\%[/tex]
Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:
[tex]n(S) = 20[/tex]
The outcomes of multiples of 4 is:
[tex]M4= \{4,8,12,16,20\}[/tex]
[tex]n(M4) = 5[/tex]
So, the probability of multiples of 4 is:
[tex]Pr(M4) = \frac{5}{20}[/tex]
[tex]Pr(M4) = \frac{1}{4}[/tex]
The sample size of PENNSYLVANIA is:
[tex]n(S) = 12[/tex]
The outcome of V is:
[tex]n(V) = 1[/tex]
So, the probability of V is:
[tex]P(V) = \frac{1}{12}[/tex]
So, the required probability is: P(Multiple of 4 and V)
[tex]P(M4\ n\ V) = P(M4) * P(V)[/tex]
[tex]P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}[/tex]
[tex]P(M4\ n\ V) = \frac{1}{48}[/tex]
[tex]P(M4\ n\ V) = 0.02083[/tex]
Express as percentage
[tex]P(M4\ n\ V) = 0.02083 * 100\%[/tex]
[tex]P(M4\ n\ V) = 2.083\%[/tex]
2 3/6 boxes and 1 2/3 boxes were recycled what is the total
Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take Kelly 1 hour. If they work together, the situation can be modeled by the following equation, where t is the time it would take to sand the table working together.
StartFraction 1 Over 0.75 EndFraction + StartFraction 1 Over 1.25 EndFraction = StartFraction 1 Over time to complete together EndFraction
Shandra claims it will take them about 50 minutes working together, because 50 is the mean of 40 and 60. Which best describes Shandra’s claim?
Answer: CCCCCC
Step-by-step explanation:
It would take 24 minutes to sand the table working together.
What is an Equation?An equation is used to show the relationship between two or more variables and numbers.
It would take Shandra 40 minutes (2/3 hours) to sand a table while it would take kelly 1 hour.
Let t be the time it would take to sand the table working together. Hence:
(1/(2/3) + 1/1)t = 1
(3/2 + 1)t = 1
2.5t = 1
t = 0.4 hours = 24 minutes
It would take 24 minutes to sand the table working together.
Find out more on Equation at: https://brainly.com/question/2972832
find the diameter of a circle with the given dimensions r=13 cm
Answer:
the diameters of circle with radius 13cm
13×226cmhope it helps.
Answer:
your answer is
26 cm
hope it is helpful to you
The perimeter of a rectangular park is 106 meters. The length of the park is 32 meters. What is the width, in meters, of the field?
Answer:
21 meters
Step-by-step explanation:
i am big brain
please help ill mark brainlist!!!
On a test a student got 15 problems correct out of a total of 20 problem.
What percent did the student get incorrect?
Answer:
1/4 or 25%
Step-by-step explanation:
Answer: 25%
Step-by-step explanation:
15/20=0.75
0.75x100=75
100-75=25
Hope this helped
Answer please will make first answer brainliest
Answer:
The last one: 70/100 = x/80
And 56 free throws.
Explanation:
70% is 70 out of 100. And if the player is free throwing a total of 80 times, then 80 is 100% of the free throws. Both of the values that represent 100% are the denominators in the fractions.
[tex]\frac{70}{100} = \frac{x}{80}[/tex]
The equations are equal, and whatever you do to the bottom, you have to do to the top. 100 was multiplied by 4/5 to get 80. So 70 is multiplied by 4/5 to get x.
4/5 * 70 is 56
what is ac? HELP PLSSS
Answer:
AC=8
Step-by-step explanation:
We know that triangle ADC is a 30,60,90 triangle so the hypotenuse or AC is equal to 2 x the small side. In this case, it is 2 times AD or 2x4 which is equal to 8. Therefore, AC=8
Please mark as brainliest if this helped
find the measure indicated. Assume that the lines which appear to be tangent are tangent. Part 4
NO LINKS OF ANY KIND
The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
[tex] \boxed{x = 125°}[/tex]
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
[tex] \boxed{n = 100°}[/tex]
9514 1404 393
Answer:
15) 125°
16 100°
Step-by-step explanation:
The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.
__
15) ? = 180° -55° = 125°
16) ? = 180° - 80° = 100°
_____
Additional comment
The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.
Please may I have some help thank you x
Answer:
I think x=2 because
3x4=12
12×2=24
×=2
Answer:
Th answer is 2cm
Step-by-step explanation:
3 x 4 = 12
24 / 12 = 2
HELP me pls pls I beg you
Answer:B 25%
Step-by-step explanation:
6 people had 6-8 and there are 24 total people so the fraction is 6/24 which is equivalant to 1/4 which equals 25%
Answer:
25%
Step-by-step explanation:
add up all you get 24
add absences between 6 and 8 you get 6
6/24= 25
Consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?
9514 1404 393
Answer:
x ≈ -4.9
Step-by-step explanation:
There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.
x ≈ -4.9
_____
Using iterative techniques, the calculator can give an answer to the full precision available. It is ...
x ≈ −4.91733286844
are these two triangles congruent? if so state, how you know.
Answer:
by SSS axiom
hope it helps.
Answer:
Step-by-step explanation:
Yes
the two sides that are marked make 2/3 of the sides needed for SSS
The line shared by both triangles make the third side.
Answer: SSS
Find the measure of the indicated angle.
Answer:
fs :)
Step-by-step explanation:
Triangles ABC and ADE are similar, as shown. Which must be true? Check all that apply.
AC=AB
AC/AE=BC/DE
AC/AD=AB/AE
DE=2BC
BC=2DE
AC=2AE
AE=2AC
Answer:
AC/AE=BC/DE
AC/AD=AB/AE
DE=2BC
AE=2AC
Step-by-step explanation:
This is what I think.
A flagpole stands perpendicular to the ground. It is supported by a 20-foot cable that runs from the top of the flagpole to the ground at a point that is 12 feet from the base of the pole. Find the height of the flagpole. The Pythagorean theorem is a2 b2
Answer:
h = 16 feet
Step-by-step explanation:
Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²) plus leg (a²)
Then
c² = a² + b²
where according to the problem statement
(20)² = h² + (12)² ( h is the height of the flagpole )
h² = 400 - 144
h² = 256
h = √ 256
h = 16 feet
help ..........................................
Answer:
c. 45d+.25m
Step-by-step explanation:
please help me :(
.....
Answer:
128 i think
Step-by-step explanation:
5x7=32
x=4
32x4=128
write two different inequalities in which one of the solutions is the same as the solution to x - 23 = 192
Answer:
I don't no the answer sorry
A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work Shirts Number of shirts ordered Cost per shirt First 19 shirts $10 Next 30 shirts $8 Each shirt over 49 $5 $7.40 $7.47 $7.53 $7.66
Answer:
The answer is $7.47.
Step-by-step explanation:
calculate how much in total 75 shirts cost:
- first 19 (less than 20) cost $10: 19 * $10 = $190
- the next 30 cost $8: 30 * $8 = $240
- the rest (26 = 75 - 19 - 30) cost $5: 26 * $5 = $130
in total 75 shirts cost $560:
19 * $10 + 30 * $8 + 21 * $5 = $190 + $240 + $130 = $560
Since 75 shirts are ordered, there must be 75 employees, so each employee must pay $7.47:
$565 ÷ 75 = $7.47
Answer:
$7.47
Step-by-step explanation:
Just did the test
A bakery sells 12 cupcakes for $10. A Super Market sells 10 cupcakes for $8. Which store is cheaper per cupcake? *
Answer:
Step-by-step explanation:
hope this help
Answer: the super market is cheaper
6.8 + [(0.5 times 7) + (3.1 times 3)] answer
Answer:
19.6
Step-by-step explanation:
Help me pls I don't know what to do
At time t = 0 hours, a tank contains 2000 litres of water.
Water leaks from the tank.
At the end of every hour there is x% less water in the tank,
than at the start of the hour.
The volume of water, in litres, in the tank at time t hours is V.
Given that
V = k'V
V. = 1714.75
work out the value of k and the value of x.
Answer:
k= 0.95
x = 5
Step-by-step explanation:
V₀=2000 because at the start (when t=0), there's 2000l in the tank.
V[tex]_{t}[/tex]=[tex]k^{t}[/tex]V₀
V[tex]_{t}[/tex]=2000[tex]k^{t}[/tex]
V₃=1714.75=2000k³
k³=0.857375
k= 0.95
-----
V[tex]_{t}[/tex]=2000[tex]k^{t}[/tex]
V[tex]_{t}[/tex]=2000[tex](0.95^{t})[/tex]
V₁=2000(0.95)=1900
So from V₀ to V₁, the tank loses 100l, which is 5% of it's volume at the start of the hour (100/2000=5%). Therefore x = 5
2
factorize :- a²-46²
Answer:
a²-46²(a-46)(a+46)hope it helps
stay safe healthy and happy.
Find the sum of the angle measures in a regular polygon.
A) 720*
B) 900*
C) 1080*
D) 1260*
Please help!! Thanks
Answer:
D) 1260°
Step-by-step explanation:
In an n-sided polygon, the sum of all angles is equal to (n-2)*180°.
Look at it this way - let's add a point in the middle and connect it to each vertex. Then we've got n triangles for a total of n*180°, but all of the angles at the middle point aren't "part" of the polygon, so a full 360° angle should be subtracted, giving us n*180°-360° = (n-2)*180°
You can easily confirm that it works for triangles and quadrangles ;)
The figure in the picture has 9 sides, so the sum of angles is (9-2)*180° = 7*180° = 1260°
1260°
hope this helps ^-^
The number of fish in a pond triples every 7 years. By what percent does the population change each year? 0 17% decay O 117% growth O 17% growth O 85.5% growth
Answer: O 17% growth it was a little bit confusing but this is the answer I came up with
Step-by-step explanation: hope it helps
anyone wanna help me with this??
Answer:
1.c
2.b
3. c
4.d
Step-by-step explanation:
leave an brainlest!
You start at (7,9) in a coordinate plane you move left 7 units. Where do you end
Answer:
You end up at 0,9
Step-by-step explanation:
2. 2 1 1 3
5' 4210
I
Arrange the fractions in ascending order.
D a) 1 1 2 3
2' 4' 5' 10
O c 1 3 2 2 1
4' 10' 5' 2
b) 3 2 1 1
10' 54'2
I
d) 1 2 1 3
2' 5' 4' 10
Answer:
a.1 1 2 3
2'4'5'10 that is ig