Answer:
mZc=mZA -base angles of an isosceles triangle
mZA= 68
parnell plays a game where he draws one card from a well-shuffled standard deck of 52 cards. he wins the game if the card he draws is a queen or a 7 are the two events mutually exclusive? there is not enough information to determine if the two events are mutually exclusive. the two events are mutually exclusive. the two events are not mutually exclusive. correct what is the probability that parnell wins the game? what is the probability that parnell loses the game
Probability of Parnell winning the game is 2/13 and the probability of Parnell losing the game is 11/13.
The two events in question, drawing a queen or drawing a 7 from a standard deck of 52 cards, are mutually exclusive.What is the probability that Parnell wins the game? When Parnell draws a card from a well-shuffled standard deck of 52 cards, he wins the game if the card he draws is either a queen or a 7. The total number of possible outcomes is 52. The total number of possible outcomes that would result in Parnell winning the game is 8 (4 queens and 4 sevens).Thus, the probability of Parnell winning the game is:P(Parnell wins) = number of favourable outcomes/total number of possible outcomes= 8/52= 2/13What is the probability that Parnell loses the game?The probability that Parnell loses the game is simply the complement of the probability of winning, which is:P(Parnell loses) = 1 - P(Parnell wins)= 1 - 2/13= 11/13. Therefore, the probability of Parnell winning the game is 2/13 and the probability of Parnell losing the game is 11/13.
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Help please!! Thank you
Answer:
Im positive it is C if its not im sorry
Step-by-step explanation:
what if i am in the international space station approximately 240 miles above the surface of the earth. approximately how far away is the horizon?
The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.
As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.
In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]
D is the distance to the horizon
R is the radius of the earth
h is the height above sea level of the observer in meters.
The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.
Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles
Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.
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What would my grade be if I got a zero on a 40 point assignment if I have a 98.8 in the class??
Answer:
I would say possibly a high B or a A-
Step-by-step explanation:
Answer:
Not enough information provided!
Step-by-step explanation:
You would need to tell us the total amount of points from all your assignments!
Find the exact value of x
Answer:
well, the value of x is unknown
2 (x + 6) = 36 what’s is x
Answer:
12
Step-by-step explanation:
distribute the 2, turning the equation into 2x+12=36
subtract 12 from both sides, now resulting in 2x=24
then divide by 2
Step-by-step explanation:
2(x+6)=36
2x+12=36
collect like terms
2x=36-12
2x=24
divide both sides by 2
2x/2=24/2
x=12
After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or BAC) surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. The function C(t) = 1. 35te−2. 802t † models the average BAC, measured in mg/mL, of a group of eight male subjects t hours after rapid consumption of 15 mL of ethanol (corresponding to one alcoholic drink). A. What is the maximum average BAC during the first 3 hours? (Round your answer to three decimal places. ) mg/mL b. When does it occur? (Round your answer to two decimal places. ) h
The maximum average BAC during the first 6 hours is about 0.177 mg/ml.
What is average ?
The middle number in a group of numbers is the average value, which is determined by dividing the sum of all the values by the variety of values.
When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
The maximum is found where the derivative of C(t) is zero.
dC/dt = 1.35e^(-2.802t) -(1.35t)2.802e^(-2.802t) = 0
Solving for t gives ...
t = 1/2.802
So, the maximum C(t) is ...
C(1/2.802) = 1.35/2.802e^(-1) ≈ 0.177 . . . . . mg/mL
The maximum average BAC during the first 6 hours is about 0.177 mg/mL.
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Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 5 years?
Answer:4610
Step-by-step explanation:
$4564 is the amount in account after 5 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Madison invested $3,300 in an account paying an interest rate of 6.7% compounded daily.
We need to assume no deposits or withdrawals are made, then we need to find money in account after 5 years.
Madison invested = $ 3300
Rate of interest = 6.7 %
Time = 5 years
\(A=P(1+\frac{r}{100} )^{t}\)
P is the principle amount
t is the time
r is the rate of interest
\(A=3300(1+\frac{6.7}{100} )^{5}\)
A=3300(1+0.067)⁵
A=3300(1.067)⁵
A=3300(1.383)
A=4563.9
A=4564
Hence, $4564 is the amount in account after 5 years.
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Find the volume of the solid of revolution generated by revolving about the x-axis the region under the following curve. y= x from x=0 to x=20 (The solid generated is called a paraboloid.) The volume is (Type an exact answer in terms of n.)
To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:
```
|
20 | *
| *
| *
| *
|*
0 --------------
0 10 20
```
Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.
To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.
To do this, we'll use the formula for the volume of a cylinder, which is:
V = πr^2h
where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:
- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.
So, the volume of each disk is:
dV = πr^2dx
= πx^2dx
To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:
V = ∫(from x=0 to x=20) dV
= ∫(from x=0 to x=20) πx^2dx
Evaluating this integral gives us:
V = π/3 * 20^3
= 8000π/3
So the exact volume of the paraboloid is 8000π/3.
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A 100m mast is supported by six cables in two sets of three cables. They are anchored to the ground at an equal distance from the mast. The top set of three cables is attached at a point 20m below the top of the mast. Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground. If all the cables have to be replaced, find the total length of cable required?
Answer:
60
would be right
Step-by-step explanation:
Total length of cable required is 466.18 m.
What is Pythagoras theorem?Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
According to the question
A 100m mast is supported by six cables in two sets of three cables.
They are anchored to the ground at an equal distance from the mast.
The top set of three cables is attached at a point 20m below the top of the mast.
Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground.
One set of guy wires (1 upper and one lower have two right triangles which can solve
The lower right triangle
a = distance from the pole to guy tie point
b = 30 m
c = 60 m the lower guy wire (the hypotenuse)
Using Pythagoras theorem
\(a^{2} +30^{2} =60^{2}\)
⇒ \(a^{2} = 3600 - 900\)
⇒ \(a^{2} =2700\)
⇒ \(a = \sqrt{2700}\)
⇒ \(a = 51.96\) m from the pole to the tie point.
The other triangle using upper guy wire as the hypotenuse (h) tied to a point on the pole 80 m from the ground (20 m from the top) and also 50m from the tie point.
Using Pythagoras theorem
\(h^{2} =(51.96)^{2} +80^{2}\)
⇒ \(h^{2}=2700+6400\)
⇒ \(h^{2}=9100\)
⇒ \(h = \sqrt{9100}\)
⇒ \(h = 95.39\) m , the length of the upper guy wire
For one set of guy wires (1 upper & 1 lower):
= 95.39 + 60
= 155.39 m
For 3 sets of guy wires :
= 3(155.39)
= 466.18 m of wire required
Hence, total length of cable required is 466.18 m.
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The volumes of soda in quart soda bottles are normally distributed with a mean of 22.3 oz and a standard deviation of 1.6 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 23.1 oz?
The probability of the volume of soda in a randomly selected bottle being less than 23.1 oz is 69.15%, based on the given mean and standard deviation of the distribution.
To find the probability that the volume of soda in a randomly selected bottle will be less than 23.1 oz, we need to use the normal distribution formula and standardize the value.
We can begin by calculating the z-score, which is the number of standard deviations the value of 23.1 oz is away from the mean of 22.3 oz:
z = (x - μ) / σ
z = (23.1 - 22.3) / 1.6
z = 0.5
Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-score of 0.5, which is 0.6915. This means that there is a 69.15% probability that a randomly selected bottle of soda will have a volume of less than 23.1 oz.
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I need to know how to find the Area :)
Explanation
to solve this divide the figure into 3 rectangles, so
Step 1
find the area of the rectangles
the area of a rectangle is given by:
\(\begin{gathered} \\ \text{Area}_{rec\tan gle}=length\cdot widht \end{gathered}\)then, find the areas
let
a)Rectangle 1(blue)
length=12
width=4
\(\begin{gathered} Area_1=12\cdot4 \\ Area_1=48\text{ square meters} \end{gathered}\)b)
Rectangle 2
length=12
width=3
\(\begin{gathered} Area_2=\text{ 12}\cdot3 \\ Area_2=36\text{ square meters} \end{gathered}\)c)
Rectangle 3
Length=5
Width=12-4-5=3
\(\begin{gathered} \text{Area}=5\cdot3 \\ \text{Area}=15\text{ square meters} \end{gathered}\)Step 2
find the total area
\(\begin{gathered} \text{total area= Area}_1+Area_2+Area_3 \\ \text{replace} \\ \text{total area= (48+36+15)m}^2 \\ \text{total area=99 square meters} \end{gathered}\)I hope this helps you
Hello I need plzzzz help
Answer:
The number of hours Jenny babysits
Step-by-step explanation:
Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.
Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x
5(3)+10. This means Jenny will charge the person she babysat for a total of
$15 just for the hours alone.
Hope this helps! :)
Answer:
x represent the number of hours Jenny Babysits
Step-by-step explanation:
since she charges $5 per hour, then X is always how many hours
utomobile trips there are major roads from city to city and major roads from city to city . how many different trips can be made from city to city passing through city ?
There are 8 different trips that can be made from City X to City Z, passing through City Y.
To find the number of different trips that can be made from City X to City Z, passing through City Y, we can use the multiplication principle of counting.
First, we need to choose one of the 2 major roads from City X to City Y. Then, for each of these roads, there are 4 major roads from City Y to City Z, and we need to choose one of these roads.
By the multiplication principle of counting, the total number of different trips from City X to City Z, passing through City Y, is the product of the number of choices at each stage. Thus, we get:
Number of different trips = Number of roads from City X to City Y x Number of roads from City Y to City Z
= 2 x 4
= 8
This calculation shows how the multiplication principle of counting can be used to find the total number of possible outcomes in a multi-stage process where the number of choices at each stage is known.
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Complete question is:
Automobile Trips. There Are 2 Major Roads From City X To City Y And 4 Major Roads From City Y To City Z. How Many Different trips can be made from City X to City Z, passing through City Y?
JJ owns a bakery and makes daily batches of pies and cookies. One pie requires 2 cups of flour to make the crust, and one batch of cookies requires 3.5 cups of flour. JJ has 28 cups of flour to use. Let x equal the number of pies and let y equal the number of batches of cookies.
Give a combination of pies and cookies that JJ can make. Explain how you know the combination works.
Answer: Chicken nuggets in zip loc bag?
Step-by-step explanation:
help pls I will give brainliest! 2
Answer:
The first one is 585 and the second one is 729
Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations
Answer: Let's solve for x.
−x−y=6
Step 1: Add y to both sides.
−x−y+y=6+y
−x=y+6
Step 2: Divide both sides by -1.
−x
−1
=
y+6
−1
x=−y−6
Answer:
x=−y−6
Let's solve for x.
5x−7y=66
Step 1: Add 7y to both sides.
5x−7y+7y=66+7y
5x=7y+66
Step 2: Divide both sides by 5.
5x
5
=
7y+66
5
x=
7
5
y+
66
5
Answer:
x=
7
5
y+
66
5
Step-by-step explanation:
The system \( y(t)=6 x(t)+7 \) is: Select one: Causal Linear None of these Not memoryless
The system described by \( y(t) = 6x(t) + 7 \) is linear and causal. A linear system is one that satisfies the properties of superposition and scaling.
In this case, the output \( y(t) \) is a linear combination of the input \( x(t) \) and a constant term. The coefficient 6 represents the scaling factor applied to the input signal, and the constant term 7 represents the additive offset. Therefore, the system is linear.
To determine causality, we need to check if the output depends only on the current and past values of the input. In this case, the output \( y(t) \) is a function of \( x(t) \), which indicates that it depends on the current value of the input as well as past values. Therefore, the system is causal.
In summary, the system described by \( y(t) = 6x(t) + 7 \) is both linear and causal. It satisfies the properties of linearity by scaling and adding a constant, and it depends on the current and past values of the input, making it causal.
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a linear programming problem with decision variable(s) can be solved by a graphical solution method. a. three b. four c. two d. five
A linear programming problem with two decision variables can be solved by a graphical solution method. In this method, the constraints and the objective function of the linear programming problem are graphed on a two-dimensional coordinate plane, and the optimal solution is found at the intersection of the feasible region (the area defined by the constraints) and the level curve of the objective function.
The graphical solution method is a simple and intuitive way to solve linear programming problems with few decision variables, but it becomes impractical as the number of decision variables and constraints increase. In such cases, more complex algorithms, such as the simplex method or interior point methods, are used to find the optimal solution.
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22/30 to its lowest term
Answer:
What is 22/30 Simplified? - 11/15 is the simplified fraction for 22/30
a model of a house was built using the scale 5in:25ft. if a window in the model is 1.5in wide, how wide is the actual window
Answer:
The actual window is 7.5 feet wide
13. Is the sum of the areas of two
squares equal to the area of a large square
if the side lengths of the squares are 8 feet,
5 feet, and 3 feet? Note that the area of
a square is s2 where s is the side length explain
Answer:
multiply ata gagawin dyan Ewan
Help!!! ASAP!!!!!!!!!!!!! 50 POINTS GOING ONCE GOONG TWICE
Answer:
first option
Step-by-step explanation:
Since the triangles are congruent, then corresponding sides and angles are congruent, that is
EF = BC = 10
∠ D = ∠ A = 37°
The diagram shows a shape made from two semicircles
The radius of the larger semicircle is 8 cm
8 crn
D
Work out the perimeter of the shape.
Give your answer in terms of .
Answer
Not drawn
accurately
cam
[3 marks]
Answer:
Step-by-step explanation:
big semicircle circumference=1/2*3.14*64
100.48cm
small semicircle circumference=1/2*3.14*16=25.12cm
total perimeter=125.6cm
Three of the thirty computers are out of service. What percent of the computers are working?
Answer:
90% percent of the computers are working.
Step-by-step explanation:
3/30 of the computers don't work and we can simplify this
1/10 or 10% Subtract 10% from 100%
90% are working computers.
The objective of keyword bidding is to: a.obtain the most profitable domain name. b.limit the amount of money the firm spends on search marketing. c.always be ranked first. d.get the best ranking for the lowest cost.
The objective of keyword bidding is to d. get the best ranking for the lowest cost.
Keyword bidding is a practice used in online advertising, specifically in pay-per-click (PPC) campaigns, where advertisers bid on specific keywords to display their ads in search engine results. The objective of keyword bidding is to achieve the best possible ranking for their ads while keeping the cost as low as possible.
Option (a), obtaining the most profitable domain name, is not related to keyword bidding. Domain names refer to the website address or URL and are not directly associated with keyword bidding.
Option (b), limiting the amount of money the firm spends on search marketing, is partially correct but not the primary objective. While controlling costs is important, the main goal of keyword bidding is to optimize the ranking and visibility of ads.
Option (c), always being ranked first, is not feasible for every advertiser. Search engine rankings are determined by various factors, including bid amount, quality score, and relevance. It is not guaranteed that an advertiser will always secure the top position.
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Match the following.
1. the range set of E= ((3, 3), (4, 4), (5, 5), (6, 6))
2. the range and domain of F = {(x, y) l x+y=10)
3. the range and domain of P = ((x, y) ly=3]
4. the domain set of C= {(2, 5), (2, 6), (2, 7))
1. domain (all real numbers): range =
(y: y = 3)
2. domain = range = (all real numbers)
3. (3, 4, 5, 6)
4. (2)
The correct match is:1. Domain (all real numbers): Range = {3, 4, 5, 6}2. Domain = Range = (all real numbers)3. Domain = (all real numbers), Range = {3}4. Domain = {2}
1. the range set of E= ((3, 3), (4, 4), (5, 5), (6, 6)) : Domain (all real numbers), Range = {3, 4, 5, 6}
2. the range and domain of F = {(x, y) l x+y=10) : Domain = Range = (all real numbers)
3. the range and domain of P = ((x, y) ly=3] : Domain = (all real numbers), Range = {3}
4. the domain set of C= {(2, 5), (2, 6), (2, 7)) : Domain = {2}
E = ((3, 3), (4, 4), (5, 5), (6, 6))
range sets where range is the set of all y-values in the specified set of points is.
range = {3, 4, 5, 6}
range and domain of F = {(x, y) | x + y = 10}
where range is all A set of y-values.
area = {y | y = 10 - x}
and the domain is the set of all x values that satisfy the equation x + y = 10.
domain = {x | x is a real number}
P = ((x,y) | y = 3] range and region
range is given directly as y = 3. Therefore range is {3}.
Also, no constraint is specified on x, so the domain can be any real number.
domain = (all real numbers)
domain of C = {(2, 5), (2, 6), (2, 7)}
where domain is the set of all x values A set of specified points.
domain = {2}
matches option:
E range set = ((3, 3), (4, 4), (5, 5), (6, 6))
matches less ( 3, 4, 5, 6)
F = {(x, y) | range and range = ((x,y) | y = 3]
match: range = {3}, range = (all real numbers)
domain set for C = {(2, 5), (2, 6 ), (2, 7)}
Matches: (2)
So the match is:
(3 , 4, 5, 6)
range = range = (all real numbers)
range = {3}, range = (all real numbers)
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the product. Write your answer as a mixed number in simplest form.
5 × 2 =
=
Answer: 9 755/9
Step-by-step explanation:
given- a statement
to find-evaluate
soulition-
4 2/9 x 2 4/9
38/9 x 22/9
836/81
9 755/9
The letter a b c or d represent the location of -1.5 on the number line
Answer:
theres nothing to say what a, b, c or d is and what figures are on the number line. if you could like show us a picture or something it would be helpful
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
find the value of x
please help
- 7.4x = - 22.2
Answer:
x = 3
Step-by-step explanation:
To solve this for x, divide both sides by -7.4. This step results in
-22.2
x = -------------- = 3
-7.4
x has the value 3 here.