Answer:
3+2/9 = 29/9
Step-by-step explanation:
examples:
4/9 = 0.444444
8/9 = 0.888888
3/9 = 0.3333333
7/9 = 0.777777
1/9 = 0.111111111
2/9 = 0.22222222
80/99 = 0.808080
67/99 = 0.6767676767
44/99 = 0.4444444
12/99 = 0.1212121212
345/999 = 0.345345345
i think you get the point.
so we know 2/9 = 0.22222, so now just add a 3:
3+ 2/9 = 27/9 + 2/9 = 29/9
John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following statements is true?
a. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack increases.
b. The probability that John draws a jack on the first try is 3/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
c. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack decreases.
d. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
Answer:
d
Step-by-step explanation:
It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.
The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
What do we mean by the probability of an event?The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.
If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,
P(A) = n/S.
How do we solve the given question?We are given that John is playing a game with a standard deck of playing cards.
We are said that he wants to try to draw a jack on the first try.
Let the event of drawing a jack be A.
The number of outcomes favorable to the event A (n) = 4 (number of jacks)
The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)
∴ The probability of the event A is given by,
P(A) = n/S = 4/52 = 1/13.
∴ The probability of drawing a jack on the first try is 1/13.
When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.
∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
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Solve For x.
(-4x+5)-(6x+7)=0
(Pls Explain Your Answer in Simple Terms)
Answer:
[tex] - 4x + 5 - (6x + 7) = 0\\ - 4x + 5 - 6x - 7 = 0 \\ - 10x - 2 = 0 \\ 10x + 2 = 0 \\ 10x = - 2 \\ x = \frac{ - 2}{10} \\ x = - .2 \\ thank \: you[/tex]
Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
9514 1404 393
Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
1they are 15 kilometers apart
What is the coordinate of point A?
Answer:
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
Hope it is helpfully.The residents of a downtown neighborhood
designed a triangular-shaped park as part of a
city beautification program. The park is bound by
streets on all sides. The second angle of the
triangle is 7º more than the first. The third angle
is 7º less than ten times the first. Find the
measures of the angles.
The measure of the first angle is x = 17º.
9514 1404 393
Answer:
15°22°143°Step-by-step explanation:
Let x represent the measure of the first angle. Then the second is x+7, and the third is 10x-7.
The sum of the three angles of the triangle is 180°, so we have ...
x +(x +7) +(10x -7) = 180
12x = 180 . . . . . . . . . . . . . . . collect terms
x = 15 . . . . . . . . . divide by 12 (first angle)
x +7 = 22 . . . . . .second angle
10x -7 = 150 -7 = 143 . . . . . third angle
The three angles are 15°, 22°, and 143°.
Convert 3250 ml to l
3250 mL = 3.25 L
* 1 mL = 0.001 L
I hope I helped you^_^
Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
pls answer pls ok ok ok ok o ok
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex](\frac{a}{b^{3} } )^{4}[/tex]
[tex]a^{4}[/tex]/([tex]b^{3}[/tex][tex])^{4}[/tex]
[tex]a^{4}[/tex]/[tex]b^{12}[/tex]
Songs on a band's set list are an example of which type of data?
Answer
O Discrete
O Continuous
O Neither
Here we want to see which type of set is a band's setlist.
We will see that it is a discrete set.
We can define two types of sets
Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.
Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).
Now, we have a list of songs, that can be written as:
L = {song 1, song 2, song 3, ...}
Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.
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what is the square root of 13y in exponential form
Answer: 13½
Step-by-step explanation:
A state lotto has a prize that pays $1,600 each week for 20 years.
The total value of the prize: $1,664,000
If the state can earn 9% interest on investments, how much money will they need to put into an account now to cover the weekly prize payments?
--
I'm so stuck on this question! I've tried every single formula I can remember from the textbook, but I just don't get it! Apparently the answer is "$771,396.86" but I can't for the life of me understand how! Please help!
Answer:
Step-by-step explanation:
Start by calculating the effective rate of interest:
.09/52= .0017307
(we divide by 52 because there are 52 weeks in a year)
Then just use the annuity formula
[tex]1600(\frac{1-(1+.0017307)^{-(20*52)}}{.0017307})=771396.864393[/tex]
A webmaster makes $24 an hour for the first 38 hours she works during a
week and $31 an hour for each hour worked over 38 hours. Which piecewise
equation models her total weekly pay y in dollars as it relates to the number
of hours x that she has worked during the week?
24x
O A. e=1
OSXS38
x > 38
(31x+912
0
[24x
O B. y = {31(x – 38) +912 x > 38
S24x
(31x
C. y =
OSXS 38
X> 38
(24x
OSX 38
D. y = {31(x-38)
x > 38
A piecewise function is consists of different relationships between the variables over different intervals
The correct piecewise equation that models her total weekly pay is option B.
[tex]\mathbf{B.} \ y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]
The given parameters are;
The amount made by the webmaster for the first 38 hours she works = $24
The amount she makes for each hour worked after the first 38 hours = $31 an hour
Required:
To find the piecewise equation that models the total weekly pay, y, in dollars in relation to the number of hours x that she has worked during the week
Solution:
If she works for x ≤ 38 hours
The amount she makes working x less than or equal to 38 hours, y = $24/hour × x hours = $24 × x hours
The total amount the webmaster wakes by working all through the normal 38 hours is $24/hour × 38 hours = $912
If she works over 38 hours, (x > 38) we have;
The number of hours she works over 38 hours = x - 38
The amount she makes each hour after working 38 hours, y = $31/hour × (x - 38) hours
The total amount she makes y working for more than 38 hours is given as follows;
y = 31·(x - 38) + 912
The piecewise equation that models her weekly pay is therefore, presented as follow;
[tex]y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]
The above piecewise function is the same as option B
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Simplify the expression below.
(x^6)(x²)
[tex]( {x}^{6} )( {x}^{2} ) = x^{8} [/tex]
I hope I helped you^_^
If ST = 3x + 8, SU = 24 and
TU = 2x – 4, what does ST = ?
Step-by-step explanation:
For TU is it -2x-4 or 2x-4 cause the question and what on your paper are different
Answer:
20
Step-by-step explanation:
ST= SU - TU
=24 - (2x-4)
=24-2x+4=28-2x
but. 2x-4+3x+8 = 5x+4 = 24
5x=24-4=20
x=20/5=4
so ST=28-2x= 28-2(4)
ST=20
Find x. Round your answer to the nearest tenth of a degree.
Answer:
41.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 9/12
Taking the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1 (9/12)
x = 41.41
To the nearest tenth
x = 41.4
Help Please!
Find the value of x for which ABCD must be a parallelogram.
Answer:
2
Step-by-step explanation:
We know that the opposite sides of a parallelogram are equal so:
25x+1=7x+37
18x=36
x=2
6 4/5 + 3 2/3
add and simplify
Answer:
10 3/5
Step-by-step explanation:
6 4/5 + 3 4/5
First convert to improper fraction,
34/5 + 19/5
Then add the improper fractions,
=>53/5
Then convert improper fraction to mixed fraction,
=> 53/5 = 10 3/5
The small base of an isosceles trapezoid is x centimeters long. The large base of the trapezoid is 3
centimeters shorter than twice the length of the small base, and each of the two remaining sides of the
trapezoid is 2 centimeters longer than the small base. If the perimeter of the trapezoid is 26 centimeters.
which of the following must be true?
4x – 3 = 26
4x - 1 = 26
5x – 1 = 26
5x + 1 = 26
The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
Let ABCD is the isosceles trapezoid.
The small base (BC) of an isosceles trapezoid is x centimeters long.
The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be
AD = 2x - 3
And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be
AB = CD = x + 2
Then the perimeter is the sum of all sides.
If the perimeter of the trapezoid is 26 centimeters.
Then the equation of the perimeter will be
AB + BC + CD + DA = 26
x + 2 + x + x + 2 + 2x - 3 = 26
5x + 1 = 26
Then the correct option is D.
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Which equation is represented by the table?
Which equation is represented by the table?
Answer:
The choose A.
y= – | x+1|–4
I hope I helped you^_^
ln the given ration 3:4 the consequent is 7,4,3
[tex]\\ \rm\longmapsto 3:4[/tex]
Convert to fraction[tex]\\ \rm\longmapsto \dfrac{3}{4}[/tex]
4 is the consequentNote.
The first term of the ratio is called consequent.
Answer:
Loading...
Step-by-step explanation:
Advance Order of Operation
11) [ { 66+11 2-6 ] x 7
121
Answer is 210
Add, multiply I need help ASAP please due tomorrow
Answer:
pls ur question is not clear is there a space between 11 and 2
WILL GIVE BRAINLIEST !!
If a tRNA molecule has an anticodon which reads GCUAAA, what was the codon of the mRNA molecule?
O GCUTTT
O CGAUUU
O AGUCCC
O CGATTT
Answer:
CGAUUU
Step-by-step explanation:
GCU is alanine which translate to CGA
AAA is lysine, and translate to UUU
Angles R and S are complementary. If angle R is = 4x - 20 and angle S = 6x - 7, then angle R measures ___ degrees.
Answer:
26.8°
Step-by-step explanation:
4x - 20 + 6x - 7 = 90
10x -27 =90
10x = 90+27
10x= 117
x = 11.7
so, the angle R = 4x-20 =4(11.7)-20
= 46.8-20 = 26.8°
the length of each side of a square is multiplied by 4. how many times longer is the new perimeter than the old perimeter??
Answer:
The answer will befour times
Point C is in the interior of
Answer:
Point C is in the interior of angle ABD.
What is the length of an edge of a cube whose total surface area is equal to 150 square feet? A. 7.5 ft B. 5 ft C. 10 ft D. 25 ft
Answer:
5 ft
Step-by-step explanation:
Using the formula,
A = 6a²
a² = A/6
a = √(A/6)
a =√(150/6)
a = √25
a = 5
The area of a 2D form is the amount of space within its perimeter. The length of the edge of the cube is 5 ft. The correct option is B.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The total surface area of a cube is 6 times the area of a face which is equal to the square of side of the cube. Therefore, the total surface area of the cube is,
Total surface area of cube = 6a²
Given that the total surface area of the cube is 150 square feet. Therefore, the length of the side of the cube can be written as,
Total surface area of cube = 6a²
150 square feet = 6a²
150 square feet / 6 = a²
25 ft² = a²
a = √(25 ft²)
a = 5 ft
Hence, the length of the edge of the cube is 5 ft.
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MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using? List your answer as a percent rounded to the nearest tenth.
Percentage = ( number used / total number) x 100
32/90 = 0.3555
0.3555 x 100 = 35.56%
Rounded to nearest tenth = 35.6%
Mary Anne is using about 35.6% of her quilt squares stock.
What is percent?A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Percent FormulaPercentage = (Value/Total value) × 100.
According to the given question.
Total number of quilt squares Mary Anne have = 90
Number of quilt squares Mary Anne is using = 32
Therefore,
The percent of her quilt square she is using
= [tex]\frac{32}{90} \times 100[/tex]
[tex]= 0.3555\times 100[/tex]
[tex]= 35.6[/tex] %
Hence, Mary Anne is using about 35.6% of her quilt squares stock.
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PLS HELP :( i’ve been trying to understand this but i cant. please explain this if you know how to do it pleaseee
Answer:
[tex]\huge\boxed{\sf x = 17}[/tex]
Step-by-step explanation:
Since m is a straight line, its measure is 180 degrees.
So,
2x + 5 + 8x + 5 = 180
2x + 8x + 5 + 5 = 180
10x + 10 = 180
10x = 180 - 10
10x = 170
Divide both sides by 10
x = 17
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!How high is a tree that cast a 33ft shadow at the same time a9ft post casts a shadow w