Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
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Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
Answer:
pictures
Step-by-step explanation:
20 characters 7273959272849942883292
The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h
Find uw if vw= 5/8 in
Answer:
4/8, which reduced is 1/2. Final answer!
Step-by-step explanation:
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SADE :)
XD
Pls help what do I put
Answer:
m+m×0.15
because it increased by 15%
you get m's 15% if you multiply it with 0.15
Starting money = $350.
Interest rate = 2.5%
Time - 3 years.
How much interest?
a) $7.50
b) $26.25
Answer:
Step-by-step explanation:
I=Prt
I=350(0.025)3
I=$26.25
please help! Brainliest answer! thank you!1
Answer:
I think it's A
Step-by-step explanation:
because none of the others appear to be correct
Answer:
A. AB = CB
Step-by-step explanation:
If you compare all the lines shown, you can see that options B,C and D are all incorrect, therefore, the last remaining option, option A, is correct.
A. AB = CB
Hope this helps :)
please this is quiz due in a hour ill up the points
Answer:
DE and DF are equal to 2√2
Step-by-step explanation:
According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.
Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.
Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?
Answer:
I think 7
Step-by-step explanation:
By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...
The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.
Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
b. Write an equation that represents this function.As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
c. Find the output when the input is 10.Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
d. Identify the independent and dependent variables.The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
how do i simplify this problem?
Answer:
[tex]9x \frac{19}{4}[/tex]
Step-by-step explanation:
Given Expression:
[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]
Simplification:
[tex]9x\frac{19}{4}[/tex]
Help!
Please show work
Answer:
131°
Step-by-step explanation:
to find the total degrees of this polygon, we use the equation
=> n - 2 × 180° (n= number of sides)
5 - 2 × 180° = 540°
now by using angle sum property,
540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°
540° = 409° + [tex]x[/tex]°
[tex]x[/tex]° = 540° - 409°
[tex]x[/tex]° = 131°
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
3 and 4 guys! Please help! I suck at this
Answer
# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)
Step-by-step explanation:
Hope that helped :)
What are the coordinates of the image D(0.5, R) (3, 5) where R(1, –3) is the center of dilation?
Answer:
(2 , 1)
Step-by-step explanation:
dilation center: (1 , -3)
scale factor: 1/2 (0.5)
Final coordinate (x' , y') is the mid-point of segment (3 , 5) and (1 , -3)
x' = (3+1)/2 = 2
y' = (5 + -3) / 2 = 1
Which of the following expressions has a value of 3? Select all that apply.
o 6 = -2
4- (-1)
(-1)(-3)
(-2) - 1
O 15 = -5
o 4+1
Answer:
1) -6/-2
3) (-1)(-3)
PLEASE HELP I WILL GIVE BRAINLIEST
[tex]X\leq 1[/tex]
Because the line show X is 1 or less.
Answer:
X [tex]\leq[/tex] 1
Step-by-step explanation:
Since the dot is solid that means it includes 1
and since the line is going towards negative infinity that is why it is less than
So X is less than or equal to 1 which is the first answer
The rational and the irrational numbers together are called whole numbers. true or false
the answer is false
Step-by-step explanation:
natural numbers and zero are whole numbers
Which inequality does this number line represent?
Answer: n> or = -2
Step-by-step explanation:
How much wrapping paper is needed to cover a box (rectangular prism) that measures 6 feet by 2.5 feet by 3 feet?
Answer:
81 feet ²
Step-by-step explanation:
Given that:
Dimension of rectangular prism :
6 feets by 2.5 feets by 3 feets
To obtain the amount of wrapping paper required to cover the box ; we find the area of the box ;
Area of box = 2(wl + hl + hw)
Area of box = 2(6*2.5 + 6*3 + 2.5*3)
Area of box = 2(15 + 18 + 7.5)
Area of box = 81 feet²
Which points are the vertices of the ellipse?
points G and H
points J and K
O
points L and N
• points M and N
Answer:
your answer is point g and h
The ratio of yellow flowers to the total number of flowers in a bucket is 5 to 9. How many flowers are yellow if there are 45 lowers in all
Answer:
There are 25 yellow flowers.
Step-by-step explanation:
The ratio is yellow/all and 5/9.
We know that all the flowers in total equal 45, which is a multiple of 9.
So 45 divided by 9 = 5.
So all I had to do was multiply 5/9 times 5/5.
So then we get the ratio of 45 total flowers with 25 yellow flowers.
Hope this helps!
Find tan 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
[tex] \frac{12}{5} [/tex]
Step-by-step explanation:
In order to find tan of theta, we need to find the side that is opposite of the angle and the side adjacent to the angle.
We are given the side that is adjacent to the angle which is 5.
We are not given the side opposite of the angle.
We can use the pythagorean theorem to find the missing side since we have a right angle.
13 is the hypotenuse and 5 and the missing side are legs so our equation look like
[tex] {5}^{2} + {x}^{2} = {13}^{2} [/tex]
[tex]25 + {x}^{2} = 169[/tex]
[tex] {x}^{2} = 144[/tex]
[tex]x = 12[/tex]
so our missing side length is 12.
Now using tan formula,
[tex] \frac{opp}{adj} [/tex]
our exact value is
[tex] \frac{12}{5} [/tex]
I need the answer please
Answer:
missing angle = 41, b. 45, c. 72
Step-by-step explanation:
A circle has 360 degrees, so add all of the existing angles
48+45+129+97 = 319 and 360-319 = 41
25/200 = 12.5% so 12.5% of 360 = .125x360 = 45
Sector 129 represents 129/360 = 35.83% so 200x.3583=72 cars
A trapezoid has an area of 200 square inches
The larger base is 14 in and the height is 16 in find the smaller base of the trapezoid.
A. 11in²
B. 11in
C. 12.5in
D. 12.5in²
Answer:
B 11in
Step-by-step explanation:
Area of trapezoid is
[tex] \frac{1}{2} (h)(b _1 + b_2)[/tex]
20% of
games is 8 games
Answer:
games is 40
Step-by-step explanation:
you know that 20% of games is 8. let's take a look at this from a fractions view. 1/5 of 100 is 20. so if 8 is 1/5 of Games, multiply 8 x 5 to find the whole, which is 40, the answer!
please help! Write answer in standard form!
9514 1404 393
Answer:
15v^5 +4v^3 -24v^2
Step-by-step explanation:
Distributing the minus sign, we have ...
3v^5 +8v^3 -10v^2 +12v^5 -4v^3 -14v^2
= (3 +12)v^5 +(8 -4)v^3 +(-10 -14)v^2
= 15v^5 +4v^3 -24v^2
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).
Answer:
y = 2/5x + 33/5
Step-by-step explanation:
(-9,3) and (1,7)
m=(y2-y1)/(x2-x1)
m=(7-3)/(1+9)
m=4/10
m = 2/5
y - y1 = m(x - x1)
y - 3 = 2/5(x + 9)
y - 3 = 2/5x + 18/5
y = 2/5x + 33/5
PLSSS HELPPP MEE I WILL GIVE BRAINLIEST OR A LOT OF POINTS
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
c is your answer hope it helps you