Answer:
18.75%
Step-by-step explanation:
The probability of the coin is 1/2, because it only has two options (tail or head).
Now, in the case of roulette, it has a total of 8 options, and the red region has 3 parts, that is, of the 8 options, roulette 3 is red, therefore the probability is 3/8
Now the final probability is the multiplication of the probability of both events:
(1/2) * (3/8) = 0.1875 s 18.75%
In other words, the probability of these two events happening, that the tail comes out and is red, i
In the diagram, line p is parallel to side BC.
Triangle A B C. Angle A is 2, angle B is 57 degrees, and angle C is 49 degrees. A line p is parallel to side B C at point A to form 3 angles. Angle 2 is angle A, and angle 1 is the exterior angle.
What is the sum of the measures of ∠1 and ∠2?
What is the sum of the measures of Angle1 and Angle2?
mAngle1 + mAngle2 = °
Answer:
the answer is 131
Step-by-step explanation:
131 is the answer
(i took the test btw)
Some of the steps for completing the square to solve
x2 + 5x = 2 are shown.
x2 + 5x = 2
x2 + 5x + (StartFraction 5 Over 2 EndFraction) squared = 2 + (StartFraction 5 Over 2 EndFraction) squared
(x + StartFraction 5 Over 2 EndFraction) squared = StartFraction 33 Over 4 EndFraction
Which are solutions of x2 + 5x = 2? Check all that apply.
StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 4 EndFraction
StartFraction 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
Answer:
D and E
Step-by-step explanation:
StartFraction negative 5 Over 2 EndFraction minus StartFraction StartRoot 33 EndRoot Over 2 EndFraction
StartFraction negative 5 Over 2 EndFraction + StartFraction StartRoot 33 EndRoot Over 2 EndFraction
❌ A.
❌ B.
❌ C.
✔ D.
✔ E.
To show that 4 points are vertices of a square which of the following must be shown
1. Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?
Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?
A. x + 7y = 320
y = 7x
B. x + y = 7
y = 320x
C. x + y = 320
y = 7x
D. x−y=320
y = 7x
2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.
How many of each type of fish did she buy?
A. 40 angelfish, 320 goldfish
B. 160 angelfish, 200 goldfish
C. 20 angelfish, 160 goldfish
D. 320 angelfish, 40 goldfish
3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?
Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?
A. x + y = 70
y = 2x – 425
B. x + y = 425
y = 2x – 70
C. x – y = 425
y = 2x – 70
D. x + y = 425
y = 2x + 70
4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.
What were their scores?
A. Kathryn: 260, Michael: 165
B. Kathryn: 150, Michael: 275
C. Kathryn: 275, Michael: 150
D. Kathryn: 165, Michael: 260
5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.
How many nickels are there?
A. 12
B. 18
C. 49
D. 55
Answer:
D
Step-by-step explanation:
If im wrong, please correct me in the comments.
Answer:
5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:
Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.
A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:
We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting in equation (2) we will get, Let us divide both sides of our equation by .
)) What is the greatest common factor of 25 and 17?
Submit
Answer:
1
Step-by-step explanation:
[tex]17 = 1 \times 17 \\ 25 = 1 \times 5 \times 5 \\ common \: factor = 1 \\ gcf = 1[/tex]
Find the volume of a right circular cone that has a height of 12.7 cm and a base with a diameter of 18.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1187.7
Step-by-step explanation:
V = (1/3)πr2h
Volume = 1187.67 cm³.
What is cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base. The distance from the vertex of the cone to the base is the height of the cone. The circular base has measured value of radius. And the length of the cone from apex to any point on the circumference of the base is the slant height.
Given,
Height of the cone (h) = 12.7cm
Diameter of the circular base(d) = 18.9cm
Radius (r) = d/2 = 18.9/2 = 9.45cm
Volume of the cone
V = 1/3πr²h
V = 1/3×3.14159×9.45×9.45×12.7
V = 1187.66946
V = 1187.67 cm³
Hence the volume of the cone is 1187.67 cm³.
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What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 2:3?
Answer: it’s either -5 or 5 I just took the test
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What are the x-intercept of the graph y=(x-2)(x-6)
Answer:
x =2 and x = 6 are the x-intercepts
Step-by-step explanation:
The x -interepts mean the value of x when y=0
so
y = 0 = (x - 2)(x - 6)
Here if we solve for x, we solve the x-intercepts.
0 = (x - 2) or 0 = (x - 6)
x = 2 or x = 6
a solution needs to be cooled at a rate of -7°C per minute. How long will it take for the solutions temperature to change from 0° C to -42° C?
Answer:
6 minutes.
Step-by-step explanation:
There is a difference of 42 between 0° and -42° (given), and 42°/7° per minute= 6 minutes.
How do you solve problems like this. Rhonda earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her. How much does Rhonda owe her sister?
Answer:
64.93
Step-by-step explanation:
324.65(0.2) = 64.93
You simply want to find 20% of 324.65. To do this, you just need to multiply.
jazzy...if u are there.....say something...testing testing.....A box contains different-colored marbles that are all the same size. The table below shows the colors and amount of each marble in the box:
Color of Marble Number
Red4
Blue8
Green3
Pink5
Allen selects a marble from the box randomly, without looking, and then tosses a fair coin. What is the probability that Allen will select a red marble and the coin will land heads up?
Answer:
i think that is because, that if u order them it is going to be 3,4,5,8
and probably he has a chance of 5 or 4
Step-by-step explanation:
The probability that Allen will select a red marble and the coin will land heads up is 1/10.
To find the probability that Allen will select a red marble and the coin will land heads up, we need to consider two independent events: selecting a red marble and tossing a fair coin.
The probability of selecting a red marble is the number of red marbles (4) divided by the total number of marbles in the box (4 + 8 + 3 + 5 = 20):
Probability of selecting a red marble = 4/20 = 1/5.
The probability of the coin landing heads up is 1/2 since it's a fair coin.
Now, to find the probability of both events occurring together (selecting a red marble and getting heads up), we multiply the probabilities of each event:
Probability of selecting a red marble and getting heads up = (1/5) * (1/2) = 1/10.
So, the probability that Allen will select a red marble and the coin will land heads up is 1/10.
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Lucy is a dress maker. She sees 4/7 of a dress in 3/4 hour. How many dresses will Lucy sew in 1 hour
Answer:
for this we'll have to get 4/3
Multiply 3 from 4 which will give us 4/7 x 4/3. That should give us 1 hour: 16/ 21 dresses
hope this helps lmk :)
King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring 35 m by 40 m.
Answer:
okay so,
so do a 16 by 14 rectangle it should be good
sry if its wrong i tried but i hope it helped ;0
The problem is regarding the calculation of the area of a rectangle, which in this case is a floor plan of a mausoleum. The area is calculated by multiplying the length and the width of the rectangle, yielding an area of 1400 square meters.
Explanation:The problem provided is a concept of geometry and the specific topic is calculating the area of a rectangle. The area of a rectangle is calculated by multiplying its length and width. In the given problem, the length of the rectangle is 40 m and the width is 35 m.
To find the area, we perform the multiplication: Area = length x width = 40 m x 35 m = 1400 m². Therefore, the floor area of King Kyle's mausoleum, according to the architect's drawings, is 1400 square meters.
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A farmer sells 7.7 kilograms of apples and pears at the farmer's market. 3 4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
Pears weight = 1.925 kgs
Step-by-step explanation:
Total weight of apples & pears = 7.7kg
Apples weight = 3/4th of total weight
= ( 3/4 ) x ( 7.7 )
= 5.775
So, remaining pears weight = Total weight - Apples weight
= 7.7 - 5.775
= 1.925
Final answer:
The farmer sold 1.925 kilograms of pears at the farmer's market.
Explanation:
A farmer sells 7.7 kilograms of apples and pears at the farmer's market. To find out how many kilograms of pears were sold, we need to calculate the remainder that is not apples.
Since ¾ of the weight is apples, we have:
¾ of 7.7 kg = ¾ * 7.7 = 5.775 kg (apples)Total weight - apples = pears7.7 kg - 5.775 kg = 1.925 kg (pears)Therefore, the farmer sold 1.925 kilograms of pears at the farmer's market.
Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on the two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse.
A 3 by 3 square, a 4 by 4 square, and a 5 by 5 square, put together to form a right triangle with legs 3 and 4 and hypotenuse 5.
Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles
Answer:
Step-by-step explanation:
This is correct for all right angle because Pythagoras theorem has proved that for a right-angle triangle, the square of the hypotenuse length is equal to the sum of the square of the opposite side and square of the adjacent sides
c² = a² + b²
This is true because the squares formed a right angle triangle from their arrangements.
So, let proved with the formula
Let assume one square = 1 unit
A 3 by 3 Square
Length = 3
A 4 by 4 Square
L = 4
A 5 by 5 Square. Hypotenuse
L = 5
a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
Proved, so for all right angle triangles, it is valid
Answer:
A.100 B.10
Step-by-step explanation: Just look at the picture lol
A long-distance company charges a $5 per month line fee plus $0.25 per minute for long distance phone calls. Write and solve an equation to determine how many minutes someone spent on long distance calls if their bill is $26.
Answer:
84 minutes (1 hr and 24 mins)
Step-by-step explanation:
If the bill is $26, then that is what the equation will be equal to.$5 fee will be added$0.25 is 'per minute' so this is the number with the [tex]x[/tex]Let's put it together:
26 = 5 + .25[tex]x[/tex]
Subtract the 5...
21 = .25[tex]x[/tex]
Divide...
[tex]\frac{21}{.25} = 84[/tex]
help pls. will mark brainliest
Which dot plot shows a sample that is most representative of the number of pets in a household?
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5.
A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6.
A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
Answer:a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A typical water bottle holds 16.9 fluid ounces,or 500 milliliters of water.How many liters is equivalent to 500 milliliters?
Answer: 0.5 and 1
Step-by-step explanation: oz. bottle will contain around 500 mL of liquid. This means that you need 2 bottles of 16.9 fl. oz. to make up 1 Liter in the US.
what is an equation of the line that passes through the points (-8,-4) and (-6,-5)?
Answer:
y=-2x-20
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1)
m=(-5+4)/(-6+8)
m=-1/2
y=-1/2x+b
-4=-1/2(-8)+b
-4=4+b
-8=b
y=-1/2x-8
Hope this helped! Please mark brainliest :)
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 72 units. What is the length in units of the rectangle
Answer:the width of the rectangle is 9 because sum of the width and one is 9
Step-by-step explanation:
The length would be 9.
The width could be 8, which would make sense, because the width plus 1 would equal nine. You can confirm these dimensions by multiplying them to get the area, 72.
A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of =1000 registered voters and found that 520 would vote for the Republican candidate. Let represent the proportion of registered voters in the state who would vote for the Republican candidate.
Answer:
52% will vote for republican candidate
Step-by-step explanation:
If there are 1000 registered voters and 520 of them will vote for Republican candidate
Then the proportion of this voters that will vote for republican candidate can be give as
(520/1000)*100% = 52%
Maria invests $6,154 in a savings account with a fixed interest rate of 8% compounded continuously. What will the account balance be after 10 years?
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:
[tex]A = Pe^{rt}[/tex]
P = principal amount
r = interest rate (decimal)
t = time (years)
First, lets change 8% into a decimal:
8% -> [tex]\frac{8}{100}[/tex] -> 0.08
Now, lets plug in the values:
[tex]A=6,154e^{0.08(10)}[/tex]
[tex]A=13,695.98[/tex]
The account balance after 10 years will be $13,695.98
what is 9*10^2 times as much as 3*10^-2
Answer:
I believe it is three
Step-by-step explanation:
A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue marble?
Answer:
Step-by-step explanation:
No of sample space , n(s) = 12 + 11 + 17 + 5 = 45
No of favorable cases , n(e) = 17
Probability of getting blue marble ,
P(e) = n(e)/n(s)
= 17 / 45
NOW
Probability of not getting blue marble,
P'(e) = 1 - p(e)
= 1 - 17 / 45
= ( 45 - 17)/45
= 28 / 45
Hope it helped :)
The required probability of not getting blue marble is 28/45.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles.
The total number of outcomes. = 12 + 11 + 17 + 5
So n(S) = 45
Number of favorable outcomes, n(E) = 17
Probability of getting blue marble,
⇒ P(E) = n(E)/n(S)
⇒ P(E) = 17/45
So the required probability of not getting blue marble as
⇒ P'(E) = 1 - P(E)
⇒ P'(E) = 1 - 17 / 45
⇒ P'(E) = (45 - 17)/45
⇒ P'(E) = 28/45
Hence, the required probability of not getting blue marble is 28/45.
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What to multiply 2/3 by
The turnout for a game is expected to reach 80,000 fans, of which 57% are expected to drive. An average of three fans come in each vehicle. 2,000 vehicles park in satellite lots. The rest of the vehicles parked in the stadium lot. How many vehicles parked in the stadium lot?(Round up.)
Answer: 13,200 vehicles
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the number of people that will drive to the stadium, by multiplying the total number of fans (80,000) by the percentage in decimal form (57/100).
80,000 x (57/100) = 45,600
Since an average of three fans come in each vehicle, we have to divide the result by 3 to obtain the number of vehicles:
45,600/3 =15,200
Subtract the number of cars that parked in satellite lots.
15,200-2,000 = 13,200 vehicles
Answer: 13,200 rounded up to 13,000.
Step-by-step explanation:
The turnout for a game is expected to reach 80,000 fans, out of which 57% are expected to drive. The number of fans expected to drive will be:
= 57% of 80,000
= 0.57 × 80000
= 45600
An average of three fans come in each vehicle. The number of cars will be:
= 45600 ÷ 3
= 15200 cars
2,000 vehicles park in satellite lots and the rest of the vehicles parked in the stadium lot. Since there are 15200 cars, the number of cars in the stadium lot will be:
= 15,200 - 2,000
= 13, 200
Rounding up 13,200 will give 13,000.
When a product is raised to a power, it is equal to the product of each factor raised to that power. Show that this rule does not apply for a sum or difference to a power using the problem (5 – 3)2. You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2.
Answer:
In this instance you would do what is inside the parentheses first and then use the exponent. Therefore it would be 3^2 and your answer is 9.
Step-by-step explanation:
Final answer:
The rule for raising a product to a power does not apply to sums or differences because [tex](5 - 3)^2[/tex] correctly calculated is 4, not 16 as incorrectly applying the rule to the sum would suggest (25 – 9).
Explanation:
The rule that when a product is raised to a power, it is equal to the product of each factor raised to that power, does not apply to sums or differences. The example given is [tex](5 - 3)^2[/tex], if we incorrectly apply the rule to the sum, we might think [tex](5^2 - 3^2)[/tex] which is-
25 – 9 = 16
However, performing the operation correctly, we first do the sum inside the parentheses:
(5 – 3) = 2,
and then raise to the power:
[tex]2^2[/tex] = 4.
This clearly shows that raising a sum to a power is not the same as raising each term to the power and then summing.
What shape is the base of a
Cylinder?
Answer:
a circle
Step-by-step explanation:
hope this helps
Answer:
A Circle!
Step-by-step explanation:
What is the value of r?
4r + 19
What is the length of segment EF?
units
9r-6
18r+ 3
Answer:
Since opposite sides of parallelogram are equal therefore
9r-6=8r+3
r=9
EF=4r+19{opposite sides of parallelogram are equal}
=4×9+19
36+19
=55
Here is you answer.
Step-by-step explanation:
The value of r is 9 units and length of segment EF is 55 units.
What is Parallelogram?a parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
We know that opposite sides are equal
CF=DE
9r-6=8r+3
r=9
Now let us find the length of segment EF
EF=4r+19
=4(9)+19
=36+19
=55 units
Hence, the value of r is 9 units and length of segment EF is 55 units.
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An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?
The two angles are 29 degrees and 61 degrees. The steps involve setting up and solving a simple equation based on the definition of complementary angles.
Explanation:To solve this question we first need to know that complementary angles add up to 90 degrees. Let's assume the measure of one angle is X. Since the other angle is 32 degrees more than the first, we represent it as X + 32.
Following the principle of complementary angles, we can set up an equation: X + (X + 32) = 90, simplifying gives 2X + 32 = 90.
Subtracting 32 from both sides we get: 2X = 58. Finally, if we divide each side by 2 we get X = 29 degrees. Therefore, one angle measures 29 degrees and the other, which is 32 degrees more, measures 61 degrees.
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