Answer:
11/15 = 73%
Step-by-step explanation:
because in total there are 15 cards and 4 of them is not green. You would want to see what is the probability of other colored carded after leaving out the green ones.
The probability that both cards drawn from the box are not green is 27/52.
To determine the probability that both cards drawn from the box are not green, we need to calculate the probability of each individual draw and multiply them together.
Initially, the box contains a total of 6 red index cards, 3 yellow index cards, and 4 green index cards.
For the first draw, there are a total of 13 cards in the box. Since we are interested in the probability of not drawing a green card, there are 13 - 4 = 9 non-green cards. Therefore, the probability of not drawing a green card on the first draw is 9/13.
For the second draw, there will be 12 cards left in the box. Since one green card has already been removed, there are now 12 - 3 = 9 non-green cards remaining. Thus, the probability of not drawing a green card on the second draw is 9/12.
To find the overall probability, we multiply the probabilities of each individual draw:
(9/13) * (9/12) = 27/52
To learn more about probability click on,
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Y varies directly as x and k = 5
Y=kx
Find y when x = 5
Answer:
y = 25
Step-by-step explanation:
Given y = kx and k = 5 then
y = 5x ← equation of variation
When x = 5 , then
y = 5 × 5 = 25
Solve the following linear quadratic system of equations algebraically.
y=^2+3x-2
y+3=5x
Answer:
[tex]x=1[/tex]
[tex]y=2[/tex]
Step-by-step explanation:
[tex]y=x^2+3x-2[/tex] , [tex]y+3=5x[/tex]
Replace all occurrences of [tex]y[/tex] in [tex]y+3=5x[/tex] with [tex]x^2+3x-2.[/tex]
[tex](x^2+3x-2)+3=5x[/tex]
[tex]y=x^2+3x-2[/tex]
Add [tex]-2[/tex] and 3.
[tex]x^2+3x+1=5x[/tex]
[tex]y=x^2+3x-2[/tex]
Subtract 5x from both sides of the equation.
[tex]x^2+3x+1-5x=0[/tex]
[tex]y=x^2+3x-2[/tex]
Subtract 5x from 3x.
[tex]x^2-2x+1=0[/tex]
[tex]y=x^2+3x-2[/tex]
Rewrite 1 as [tex]1^2[/tex].
[tex]x^2-2x+1^2=0[/tex]
[tex]y=x^2+3x-2[/tex]
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
[tex]2x=2[/tex] · [tex]x[/tex] · [tex]1[/tex]
[tex]y=x^2+3x-2[/tex]
Rewrite the polynomial.
[tex]x^2-2[/tex] · [tex]x[/tex] · [tex]1[/tex] [tex]+[/tex] [tex]1^2=0[/tex]
[tex]y=x^2+3x-2[/tex]
Factor using the perfect square
trinomial rule [tex]a^2-2ab+b^2=(a-b)^2,[/tex]
where a = x and b = 1.
[tex](x-1)^2=0[/tex]
[tex]y=x^2+3x-2[/tex]
Set the [tex]x-1[/tex] equal to 0.
[tex]x-1=0[/tex]
[tex]y=x^2+3x-2[/tex]
Add 1 to both sides of the equation.
[tex]x=1[/tex]
[tex]y=x^2+3x-2[/tex]
Replace all occurrences of [tex]x[/tex] in
[tex]y=x^2+3x-2[/tex] with 1.
[tex]y=(1)^2+3(1)-2[/tex]
[tex]x=1[/tex]
[tex]y=2[/tex]
Maths Assignment
4-a^2
Answer:
(2-a)^2
(2+a) (2-a)...
Answer:
Step-by-step explanation:
Use the identity: a² - b² = (a+ b)(a - b)
4 - a² = 2² - a² {Here a = 2 and b = a}
= (2 +a) (2 - a)
Someone help, I suck at math
option A.55°
Answer:
Solution given:
<x+<y=<z
exterior angle of a triangle is equal to the sum of two opposite interior angle
4n-18+n+8=133-6n
5n+6n=133+10
11n=143
n=143/11
n=13
exterior angle =133-6*13=55°
option A.55°
simplify (-81)÷9 pls ans
Answer:
[tex] \frac{ - 81}{9} [/tex]
[tex] - 9[/tex]
asap answer pls -------------------
Answer:
f(2) = - 5
Step-by-step explanation:
Using the recursive rule and f(1) = - 3 , then
f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given
***I need help before it’s due**
SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.
Triangle WVU & Triangle UBW are our two triangles.
The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.
For SSS, we need to know that sides WV and UB are congruent.
Hope this helps!
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5
Answer:
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5Step-by-step explanation:
Solve for x. Thank you
Work Shown:
Use the angle bisector theorem
15/(x+2) = 20/(14-(x+2))
15/(x+2) = 20/(-x+12)
15(-x+12) = 20(x+2) .... cross multiply
-15x+180 = 20x+40
180-40 = 20x+15x
140 = 35x
35x = 140
x = 140/35
x = 4 .... answer is choice A
Answer:
4
Step-by-step explanation:
cos^-1(15/20)=41.40962212
41.40962212/2=20.70481106
tan(20.70481106)x15=5.669467097
5.669467097-2=3.669467097
3.669467097 round up
4
The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
Answers:
(Please choose an answer out of these four, not one that's different!)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot
Answer: Choice D) 4 over 25 square foot
This is the same as writing the fraction 4/25 of a square foot.
============================================================
Explanation:
The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.
These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.
Multiply this with the height (2/5) to get
area = base*height
area = (2/5)*(2/5)
area = 4/25 .... answer is choice D
Side note: the base and height are not always the same length.
-----------
A slightly longer approach would have you follow these steps
Find the area of the rectangle. Call it A.Find the area of the triangle on the left. Call it B.Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.The final answer is the computation of A-B-C and you should get 4/25.Find the mean and the MAD. [Note: Type your answers as decimal numbers, rounded to the nearest tenth.] 135, 160, 145, 155, 170, 150, 142
Answer:
Mean = 151
MAD = 9.14
Step-by-step explanation:
Given the data:
135, 160, 145, 155, 170, 150, 142
Mean = Σx / n
Mean = 1057 / 7
Mean = 151
Mean absolute DEVIATION (MAD) : Σ(x - μ) / n
[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7
Mean absolute deviation = 9.14
Write a compound interest function to model the following situation. Then, find the balance after the
given number of years.
$13,700 invested at a rate of 2% compounded quarterly; 6 years
Answer:
The balance after the 6 years of investment will be $ 15,442.08.
Step-by-step explanation:
Given that $ 13,700 was invested at a rate of 2% compounded quarterly during 6 years, to determine the final result of the investment, the following calculation must be performed:
13,700 x (1 + 0.02 / 4) ^ 4x6 = X
13,700 x (1 + 0.005) ^ 24 = X
13,700 x 1,005 ^ 24 = X
13,700 x 1.1271 = X
15,442.08 = X
Therefore, the balance after the 6 years of investment will be $ 15,442.08.
Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?
if the measure of angle def is 65° what is the measure of arc de?
EF is tangent to the circle we'll assume; otherwise there's no progress.
Call the center C. ECD is isosceles, formed from two radii and the chord.
Angle CED is complementary to DEF
CED = 90 - 65 = 25 degrees
CDE is congruent, isosceles triangle and all that: CDE=25
That leaves DCE=180-25-25=130 degrees
That's the measure of arc DE as well:
Answer: 130 degrees, choice A
Answer:
130
Step-by-step explanation:
define the following key terms relating to a circle, diameter and radius
Answer:
Diameter: the straight distance from one edge of a circle to the other
Radius: the straight distance from one edge of a circle to the center
I hope this helps :)
Answer:
Diameter - a straight line that goes straight through the center of the circle to one point on its outline to another point on it's outline
Radius - a line that starts at the center and goes to anywhere on the circles circumference
Can someone help me with this math homework please!
Answer:
4
Step-by-step explanation:
7h-15h+40=-72
-8h=-32
h=4
Find the exterior angle.
50°
70°
60
X = [?]
Answer:
110
Step-by-step explanation:
180-70=110
the full line is 180 so subtract the angle, 70.
work out the area of the triangle 35.7m 17m 28.9m 13.6m
Answer:
N/A
Step-by-step explanation:
the question is not in depth could you add a photo
(PLS HELP NOW WILL GIVE BRINIEST!!!!!) A figure is formed by two pairs of parallel sides that are the same length. Which type of figure is it?
A.
hexagon
B.
square
C.
pentagon
D.
triangle
Answer: B. Square
Step-by-step explanation:
All sides of a square have the same lengthAll four angles of a square = 90°A square has two parallel sidesThe answer is B.), because if you have two pairs of parallel sides that means it looks like a square 1. || 2. _
_
- Chilio
Need help on this!!! 7 points!!!
Answer:
P= $226,863.29
Step-by-step explanation:
Compounded Continously means
P= P₀e^(rt)
plug in givens
P=(47000)e^(0.0926*17)
Use Calculator
and get P= $226,863.29
Answer:
$226,863.29
Step-by-step explanation:
P = $47,000
r = 0.0926
t = 17
A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]
A = $226,863.29
A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 years?
Answer:
= 1728km2
Step-by-step explanation:
From the formula A = PRT/100%
Where; A is final
P is initial
T is time taken
R is the rate
Therefore A = 3600 × (6/100) × 8
= 1728km2
An acute angles measure is
A. Between 0 and 90
B. Between 90 and 180
C. Exactly 90
Answer: the correct answer is A. Between 0 and 90
If an angle is between 0 and 90 it is acute
If an angle is EXACTLY 90 it is a right angle
If an angle is between 90 and 180 it is obtuse angle
If it's 360 then it is a full circle
When do you need to state a domain in your final answer?
Answer:
Not sure what you are asking.
Domain is all x values .
It can be stated in coordinates (x,y). X is the input. Y is output
It can be stated in Domain Notations such as {x | x ≥ 0}
What is the slope of the graph?
Jamel made $3.50 for taking 10 pounds of aluminum cans to a recycling plant. At that rate how much would Jamel make for 18 pounds of aluminum cans?
Answer:
Jamel would make $6.30 for 18 pounds of aluminum cans.
Step-by-step explanation:
Lets find the unit rate per pound:
3.50 ÷ 10 = 0.35
1 pound of aluminum cans = $0.35
To find how much it will cost to take 18 pounds of aluminum cans to a recycling plant, multiply the unit rate by 18 pounds:
0.35 x 18 = 6.3
Therefore, Jamal would make $6.30 for 18 pounds of aluminum cans.
Hope this helps
if John and Eric bought a large pizza that has 10 slices John and Eric it all the pizza if John ate 1/5 slice how many did Eric eat
A fire extinguisher releases 27/4  liters of carbon dioxide in 9/16 minutes what is the speed in terms of liters per minute
Answer:
12 liters per min
Step-by-step explanation:
Math
27/4 = x
9/16 1
27/4=(9/16)x
Divide both sides by 9/16
12=x
An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
PLS HELP(algebra 1)
solve -7 + 18(17h + 19)
Answer:
335+306h
Step-by-step explanation:
solve the brackets first by distributing 18 to 17h and 19
-7+306h+342
then group the like terms
-7+342+306h
335+306h
Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?
Por favor es urgente
Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
