A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.
Then the total number of the event will be
Total event = 7 + 9 + 3 + 6
Total event = 25
The probability of getting a yellow chip will be
Favorable event = 3 {yellow chip}
Then the probability will be
P(Y) = 3 / 25
The probability of getting a blue chip will be
Favorable event = 6 {blue chip}
Then the probability will be
P(B) = 6 / 25
Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be
P = P(Y) x P(B)
P = (3/25) x (6/25)
P = 18 / 625
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
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(CAN SOMEONE PLEASE EXPLAIN JUSTIFICATION) Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. No Common Tangents Diagram: Justification:
Answer:
To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.
Step-by-step explanation:
Please help me on this question
Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
If [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{4}[/tex], [tex]\frac{y}{z}[/tex] = [tex]\frac{2}{3}[/tex], [tex]\frac{z}{w}[/tex] = [tex]\frac{5}{8}[/tex], what is the value of [tex]\frac{x+y+w}{w}[/tex]?
Find the slope of each line. Then tell what the slope represents.
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
Need help and show work plz
====================================================
Explanation:
With any parallelogram, the adjacent angles always add to 180 degrees.
(angle ADC) + (angle DCB) = 180
(angle ADC) + 120 = 180
angle ADC = 180 - 120
angle ADC = 60 degrees
--------
Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.
(angle 1) + (angle 2) = angle ADC
45 + (angle 2) = 60
angle 2 = 60-45
angle 2 = 15 degrees
Find the measure of of RA. A. 24 B. 2 C. 12 D. 3
Answer: 24
Step-by-step explanation:
R= 3
You can find this using simple algebra
The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have a triangle shown in the picture.
It is required to find the measure of the RA
To find the measure of the RA we can apply the concept of congruent triangle:
In the triangle LRU and triangle LAU
LU = LU (common side)
LR = LA (equal sides)
Angle RLU = Angle ALU (equal)
The triangles are congruent.
RU = UA
18 - 2r = 4r
6r = 18
r = 18/6 = 3
The measure of the RA = 18 - 2r + 4r = 18 + 2r
The measure of the RA = 18 + 2(3) = 18+6 = 24 units
Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
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if alan had bought a figure at a discount of 5%, he would pay $20 less. How much would he pay if he had bought it at a discount of 20%
Answer:
80
Step-by-step explanation:
5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion
5/20=20/x5x=400x=80LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3
14/6 = 22/x
Cross multiply:
14x = 132
Divide each side by 14
x = 9.4
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was
released. The average rate of change in Td) for the interval d = 4 and d = 10 is 0. Which statement must be true?
O The same number of tickets was sold on the fourth day and tenth day.
O No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
O More tickets were sold on the fourth day than on the tenth day.
Answer: The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.
Given,
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The Average rate of change in T(d) for the interval d = 4 and d = 10 is 0.
We have to find which statement is true.
Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.
Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.
Thus The correct option is A.
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Mathematics, probability and chance Can somebody help me, I always thank and vote
Answer:
A. 0
Step-by-step explanation:
In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices. Since four is the smallest number, the other two must have four left as well. That means Donavan drank 1 spoiled milk and 2 flat sodas. Therefore, he drank 0 purified water.
Find the reference angle of the following angles:405°, 750°, ‒ 210°, 495° ‒660°, 480°
Answer:
Step-by-step explanation:
405÷180=2×180+45,45°
750=180×4+30,30°
-210+180=-30,30°
495÷180=2×180+135,180-135=45°
-660°+360=-300°+360=60,60°
480-360=120,180-120=60,60°
Albert has 40 toy cars. Brad has 15 fewer toy cars than Albert, but 7 more than Chris. How many toy cars do they have all together?
Answer:
83
Step-by-step explanation:
40 - 15 = 25
25 - 7 = 18
40 + 25 + 18 =
83
We know that Albert has 40 toy cars.
If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.
Now, we know that Chris has 7 fewer cars than Brad.
So Chris would have 18 cars.
Altogether, they would have 40 + 25 + 18 cars or 83 cars.
The quotient of 32 and 4 divided by the sum of 1 and 3
Answer:
2
Step-by-step explanation:
32 divided by 4 = 8 (quotient)
1 + 3 = 4 (sum)
8 divided by 4 = 2
Answer:
88
Step-by-step explanation:
Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.
Answer:
1st triangle:
sin(C): 0.64, [tex]\frac{16}{25}[/tex]
cos(C): 0.8, [tex]\frac{4}{5}[/tex]
Second triangle:
sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]
cos(C): 0.67, [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.
To find the cos of an angle, it's adjacent/hypotenuse.
In the 1st triangle:
The adjacent to C is 16, the hypotenuse is 25.
[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.
The adjacent to C is 20, and the hypotenuse is 25.
[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.
In the second triangle:
The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.
[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.
The adjacent to C is 2 and the hypotenuse is 3.
[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.
Hope this helped!
A doctor asks a nurse to give a
patient 250 mg (milligrams) of the
drug Simethicone. The drug is
available only in a solution whose
concentration is 40 mg Simethicone
per 0.6 ml (milliliter) of solution.
How many milliliters of solution
should the nurse give the patient?
Answer:
Hey there!
For this question, we write a proportion.
[tex]\frac{40}{0.6}=\frac{250}{x}[/tex]
[tex]40x=150[/tex]
[tex]x=3.75[/tex]
Thus, the nurse to give the patient exactly 3.75 ml of the solution.
Let me know if this helps :)
The volume of the simethicone solution given by a nurse is 3.75 milliliters.
Given:
Doctor asks a nurse to give a patient 250 milligrams of the drug Simethicone.The concentration of a drug is 40 mg of Simethicone per 0.6 mL.To find:
The milliliters of a solution to be given to the patient by a nurse.
Solution:
Mass of simethicone drug to be given = 250 mg
Let the volume of the solution with 250 mg of simethicone be x.
The concentration of simethicone in solution = 40 mg/0.6 mL
Mass of simethicone in 1 mL of solution:
[tex]40 mg/0.6 mL=\frac{40 mg}{0.6 mL}\\\\=\frac{400 mg}{6 mL}[/tex]
The mass of simethicone in 'x' mL of solution:
[tex]250 mg=x\times \frac{400 mg}{6 mL}\\\\x=\frac{250 mg\times 6 mL}{400 mg}\\\\x=3.75 mL[/tex]
The volume of the simethicone solution given by a nurse is 3.75 milliliters.
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Which is a Qualitative graph?
Answer:
No qualitative graph shown here.
Step-by-step explanation:
No qualititative graph is shown here. The given graph is quantitative, as it involves numerical measures.
Answer:
qualitative graph are graph that are used to represent situation that do not necessarily have numerial value it repressent the essential elements of a situation in a graphical form
If we transform the parabola y=(x+1)^2+2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola? Vertex of resulting parabola: (__ a0,__ a1)
Hey there! I'm happy to help!
The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.
Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.
We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).
We see that the k value is 2.
Since the vertex is (h,k), this vertex is (-1,2).
However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.
(x,y)⇒(x+7,y-5)
(-1,2)⇒(6,-3)
Therefore, the vertex of the resulting parabola is (6,-3).
Have a wonderful day! :D
Circles
1. RS and ST are tangent lines. Find the value of x.
R
9x - 30
c.
S
3x
T
Answer:
x = 15
Step-by-step explanation:
9x-30 = 3x (tangent lines are congruent)
- move the variables to one side
9x-3x=30
6x=30
x=5
--------------
9(5)-30=3(15)
45-30=15
15=15
Done!
find the mean, median, mode, and midrange. Then decide which you think is the most meaningful measure of average for that data set. For larger data sets, you should consider using technology. The number of beds at all licensed hospital in Hillsborough County, Florida, in 2015: 98 120 493 206 73 102 183 870 76 60 60 112 147 1,018 201
Answer:
mean = 254.6
median = 120
mode = 60
midrange = 958
For average data sets i prefer by finding the mean
Step-by-step explanation:
mean :
(98+120+493+206+73+102+183+870+76+60+60+112+147+1018+201) ÷ 15 = 254.6
median : 60 60 73 76 98 102 112 120 147 183 201 206 493 870 1018
find the middle number
= 120
mode :
number that is more than one
= 60
midrange :
highest number - smallest number
= 1018 - 60
= 958
11. Find the slope of the following coordinate points: (11,4)
and (5.-3)
Answer:
7/6
Step-by-step explanation:
We can find the slope by using the slope formula
m = (y2-y1)/(x2-x1)
= ( -3 -4)/(5 -11)
-7/-6
=7/6
Answer:
7/6
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1)
m = (-3 - 4)/(5 - 11)
m = -7/(-6)
m = 7/6
PLEASE HELP ASAP !!!!!!!!!!!
Answer:
Step-by-step explanation:
Given the following :
Period = 15 years
Worth of investment = $7,200
The rule of 70 is represented by the formular :
Number of years to double = ( 70 / Annual percentage growth rate)
Inputting our values :
Number of years to double = 15 years
15 = 70 / Annual percentage growth rate
Annual percentage growth rate * 15 = 70
Annual percentage growth rate = (70 / 15)
= 4.667%
Therefore according to the rule of 70, it will take an annual percentage growth rate of 4.667% to double the investment.
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-4,7), (-5,-2)
Choose the equation of the line in the form Ax + By = C.
Answer:
-9x + y = 43
Step-by-step explanation:
We can put the equation into y = mx + b form first, then change it to Ax + By = C
First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)
(-2 - 7) / (-5 + 4)
-9/-1 = 9
We can put this into the equation y = mx + b, along with another point, to find b:
y = mx + b
7 = 9(-4) + b
7 = -36 + b
43 = b
Now, we know the equation will be y = 9x + 43, and we can rearrange this:
Subtract 9x from both sides:
-9x + y = 43 will be the equation of the line
Plz help I’ll mark brainliest
Answer:
[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]
Step-by-step explanation:
The triangle formed is a right triangle.
We can use trig functions to solve.
The maximum length of the seesaw is the length of the hypotenuse of the triangle.
sin θ = opp/hyp
Let x be the hypotenuse length.
sin 30 = 1/x
x = 1/sin30
x = 2
The maximum length of the seesaw is 2 meters.
Answer:
2
Step-by-step explanation:
Take the right triangle formed by the seesaw.
Let x be the maximum heigth that we are looking for
● sin 30° = 1/x
Switch x and sin 30°
● x = 1 /(1/2)
● x = 1 ×(2/1)
● x= 1×2
● x = 2
Please simplify. 2(y+6)-6y Thanks!
Answer:
-4(y-3)
Step-by-step explanation:
you need to factor out the 2 from the expression, add common like terms, factor out -2 from the expression, multiply a positive and a negative to get a negative, then multiply the numbers, and you'll get your answer
5•1000000 is how many times as large as 5•10000
Answer:
100 times
Step-by-step explanation:
5•1000000 has 2 more zeros than 5•10000 so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest
3. State the general version of the recursive formula.
72,54, 36, 18,0
Answer:
a(1) = 72
a(n) = a (n-1) - 18
Step-by-step explanation:
This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get
72/18, 54/18, 36/18. 18/18, 0/18
4 , 3 , 2 , 1 , 0
So we can see that the numbers are in decreasing order as the multiples of 18.
in other words the first term is a= 72
from which we subtract 18 and get 54 and so on.
So the general rule would be
a(1) = 72
a(n) = a (n-1) - 18
Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.
72-18= 54
54-18= 36
36-18= 18
18-18=0
help me plz i need help
360 is 6/10 of what number
Cathy is paid at a rate of $7 20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during the week and double-time on weekends. In a fortnight she worked 160 hours, and 4 hours on Saturday and 2 hours on Sunday. What is Cathy's hours in a fortnight
Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.
So the answer is 166
Here is the calculation:
Cathy's basic pay for the fortnight is 7.2 × 70 = $504.
Her overtime pay for the week is (1.5 × 7.2) × 9 = $97.2.
Her weekend pay is (2 × 7.2) × 6 = $86.4.
Her total pay for the fortnight is 504 + 97.2 + 86.4 = $687.6.
Therefore, Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.
So the answer is 166
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