Answers
Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)
Related Questions
Christy buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 7 sugar
cookies and 4 oatmeal cookies. what is the probability that christy randomly selects an oatmeal cookie
from the bag, eats it, then randomly selects a chocolate chip cookie? express you answer as a reduced
fraction.
Answers
Answer:
[tex] \frac{2}{33} [/tex]
Step-by-step explanation:
There are 22 cookies in all.
The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.
Drag a statement or reason to each box to complete this proof.
If −3(x+8)=−21, then x=−1.
(Please refer to attached image for more info.)
Answers
Answer:
1. -3(x+8) = -21
2. Division property of equality
3. x + 8 = 7
4. Subtraction Property of Equality
(Not quite sure whether #2 is division or distributive, but i'm 90% sure it's division).
Translate the following statements into algebraic expressions.
One-half of the sum of 8 and x.
Answers
Answer:
1/2(8 + x)
Step-by-step explanation:
In this statement, it tells us to add 8 and x and then multiply that with 1/2.
Given circle with radius of 5cm.
Find out
(a) diameter
(b) perimeter
(c) area
Answers
Answer:
(1) 10
(2) 10π
(3) 25π
Step-by-step explanation:
We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.
We are required to find the diameter, perimeter, and area using the given data we have been provided with.
Let's start:
#1: Diameter
To find diameter [tex]d[/tex] use formula:
[tex]d=2*r[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]d=2*5\\d=10[/tex]
After calculating, we have found that the diameter of the circle is 10.
#2: Perimeter
The perimeter can also be known as the circumference of a circle as they both measure the outline.
To find circumference [tex]C[/tex] use formula:
[tex]C=2*r*\pi[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]C=2*5*\pi[/tex]
[tex]C=10\pi[/tex]
Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359
⇒ 31.4
After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).
#3: Area
To find area [tex]A[/tex] use the formula:
[tex]A=r^2*\pi[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]
Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 78.5398163397
⇒ 78.6
After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).
After finding all the required information, we have now completed the answer.
Solve the following please:
Answers
Answer:
most likely b
Step-by-step explanation:
the more than symbol tells me that it is going to move past 10.
A _______ random variable has infinitely many values associated with measurements.
Answers
Answer:
continuous random variable
The categories of __________-level distributions do not have to be listed in any particular order
Answers
The categories of nominal level distribution do not have to be listed in any particular order
Characteristics of a nominal level distribution
These characteristics include:
Nominal data are categoricalThe categories are relatively mutualNo overlap between the categories.Nominal data are categorized according to labels which descriptiveNominal data don't provide any quantitative or numeric valuesTherefore, the categories of nominal level distribution do not have to be listed in any particular order
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Construct a regular hexagon inscribed in a circle. Please help.
Answers
Answer:
no lo sd
Step-by-step explanation:
solo se que is really
In what? desmos, drawing?
5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first term. (c) Find the sum of the first 50 terms of the sequence.
Answers
Step-by-step explanation:
first you should do is that find the common difference which is 9
Which of the equations have only 1 solution -5x+12=5x-5
Answers
Answer:
in the pic...
Step-by-step explanation:
Hope it Helps!!!
The boarding platform of a Ferris wheel is 4 meters above the ground and the Ferris wheel is 24 meters in diameter and spins once every 7 minutes. How many minutes of the ride are spent higher than 22 meters above the ground
Answers
The number of minutes of the ride that are spent higher than 22 meters above the ground is; 2.64 minutes
How to find the number of revolutions?We are given;
bottom of the Ferris Wheel is 4 meters off the ground.
Radius = diameter/2 = 24/2; r = 12 meters.
Thus, the center of the Ferris Wheel is 4 + 12 = 16 meters off the ground.
A horizontal line through the center of the Ferris Wheel is 16 meters off the ground, and therefore the lower half of the Ferris Wheel is always below 22meters.
The distance from the horizontal to 22 meters is 22 - 16 = 6 meters.
The angle between the horizontal and a radius to 22 meters is;
sin(θ) = 6/16
θ = sin⁻¹(6/16)
θ = 22.02°.
This angle height is on both sides of the Ferris Wheel and as such;
180° + (2 * 22.02) = 224.04° is always under 16 meters.
Thus, what is above 16 meters is 360° - 224.04° = 135.96°
Since it takes 7 minutes for 1 revolution, then the amount of time the Ferris Wheel is above 16 meters is;
(135.96/360) * 7 min ≈ 2.64 minutes
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The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?
Answers
The inequality which expresses the solution to the task is; x < 7.
Which inequality expresses the solution to the graph?According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;
let
The unknown number = x
sum of 8 and a number:
8 + x
sum of 8 and a number is less than 15:
8 + x < 15
x < 15 -8
x < 7.
Ultimately, the required inequality is; x < 7.
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g(t)=2.0.4^t for t = -2
Answers
Answer:
2(0.4)^-2 = 12.5
Step-by-step explanation:
do math noob
Find the value of x.
Answers
Answer:
x = 20°
Step-by-step explanation:
(4x-10)+x=90
4x-10+x=90
4x+x-10=90
5x-10=90
5x=100
x=20
Answer:
20
Step-by-step explanation:
Straight line angles:
Angles on a straight line add up to 180°.
90 + 4x - 10 + x = 180
90 - 10 + 4x + x = 180
Combine like terms.
80 + 5x = 180
Subtract 80 from both sides,
5x = 180 - 80
5x = 100
Divide both sides by 5
x = 100 ÷ 5
[tex]\sf \boxed{x = 20^\circ}[/tex]
4. What is the slope of the line that passes through the points (2, 7) and (6, 21)? Answer may be in decimal
point. Someone please please help I would really appreciate it
Answers
Answer:
About 3.5
Step-by-step explanation:
To get slope, you essentially need to find the rise (the y values) over run (the x values). You'll most likely see the formula for slope written like this:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Thankfully, you have the values you need to solve the problem!
x1 = 2
x2 = 6
y1 = 7
y2 = 21
So plugging these numbers in, we get:
[tex] \frac{(21) - (7)}{(6) - (2)} \\ \\ \frac{14}{4} \\ \\ 3.5 [/tex]
[EDIT: I misread 6 as 5. Answer has been updated!]
Explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
To convert a fraction to a decimal, we'll just divide the numerator...by the denominator. In our example, we'll divide 1 by 4. 1 divided by 4 equals 0. To keep dividing, we'll add a decimal point and a zero after the 1
The table above shows some values of the linear function F. Which of the following defines F? A) f(n) = n-3 B) f(n) = 2n-4 C) f(n) = 3n-5 D) f(n) = 4n-6
Answers
Answer:
3n - 5
Step-by-step explanation:
f(n) = 3n - 5. Works for all of them
The jet stream is traveling nearly due south from Wyoming to Colorado at 110 knots. If the plane’s speed is 400 knots, what will be its ground speed if it travels from Wyoming to Colorado?
Answers
Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.
What is the ground speed?The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:
G = Plane speed + Wind speed.
In this problem, we have that the speeds are given as follows:
Plane: 400 knots.Wind: 110 knots.Hence the ground speed is given by:
G = 400 + 110 = 510 knots.
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How to rationalise 1000/3
Answers
Answer:
Step-by-step explanation:
there is no root in denominator so I think it is rationalised
2
A B
-10-9-8
5
Point A
Point B
Point C
Point D
6
ch point on the number line represents the product (-4)(-2)(-1)?
8
012
9
10
C D
5 6 7 8 9 10
59:3
Answers
We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.
What is number line?Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.
We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.
Thus, the answer is -8.
See attached image.
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What is the quotient in scientific notation?
Answers
A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.a running track goes all the way round. a) what is the total inside length of the curved ends of the track? b) what is the total distance round the inside of the track? c) what is the area inside of the track? (take pi=3.14, give answer to 1 decimal place).
Answers
a)The total inside length of the curved ends of the track will be 25.13 meters
b)The total distance around the inside of the track will be 275.13 meters
c)The area inside the track is 10050 square meters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.
a) what is the total inside length of the curved ends of the track?
The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.
So the length will be = π r + πr = 2 πr
= 2 x π x 4 = 25.13
b) what is the total distance around the inside of the track?
The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.
Total length = 125 + 125 + 25.13
= 275.13 meters
c) what is the area inside of the track?
The area will be equal to the area of the two semicircular tracks and the rectangular track.
Total Area = Area of semicircle + Area of semicircle + Area of rectangle
= ( π/2 ) r² + (π/2) r² + ( L x W )
= π r² + ( L x W)
= π ( 4 )² + ( 125 x 8 )
= 10050.26 square meters.
Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.
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A test is worth of 150 points and contains 70 questions. Some questions are worth 2 points, and some are worth 4 points
2x + 4y = 150
Answers
Answer:
65 2 point questions, 5 4 point questions
Step-by-step explanation:
write a system of equations:
let x be the number of 2 point questions and y be the number of 4 point questions
2x + 4y = 150
x + y = 70 (since there are 70 total questions)
x + y = 70
subtract x from both sides
y = -x + 70
substitute y = -x + 70 into 2x + 4y = 150
2x + 4(-x + 70) = 150
2x - 4x + 280 = 150
-2x = -130
x = 65
substitute x = 65 into x + y = 70
65 + y = 70
subtract 65 from both sides
y = 5
A coordinate grid with a line passing through the points (negative 4, negative 4), (0, negative 2), and (4, 0).
What is the equation of the line in point-slope form?
Answers
An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,
m = (-2 - 0)/(0-4)
m = -2/-4
m=1/2
m = 0.5
The equation now in point slope form can be written as,
(y+2) = 0.5(x+0)
y+2=0.5x
Hence, the equation of the line in point-slope form is y+2=0.5x.
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It is known that 10 workers take 30 days to complete a project. They start working and the next day one quits. the next another, the third day another, and so on until the sixth day when they are left alone 5 workers. How many days will it take those 5 workers to finish the job?
Answers
Answer:
5 workers finish this work in 60 daysStep by step explanation:
The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.
We start by finding the type of proportionality we have.
In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.
We have only 5 workers left.
In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.
Ratio = 5 workers / 10 workers = 1/2We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.
As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.
[tex]\rm 30 * 2/1 \: = 60 \: days[/tex]
By so
5 workers finish this work in 60 daysFind the equation of the parabola that has zeros of x = - 6 and x = 6 and a y-intercept of (0, 4)
Answers
The equation of the parabola that has zeros of x = - 6 and x = 6 and a y-intercept of (0, 4) would be Y=-1/9(x^2-36).
What is the equation of the parabola that has zeros?Since the zeros are symmetrical to the y axis, the equation can be written as;
y = a(x-b)(x+b),
where a is a scale factor and b is x-intercept.
From the given zeroes
y = A(x-6)(x+6).
Now we can plug in the y-intercept (0,4)
4 = A(0-6)(0+6)
4 = A(-36)
-36A=4
A = -1/9
Therefore the equation would be
Y = -1/9(x-6)(x+6),
or Y=-1/9(x^2-36)
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Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74000 miles and a standard deviation of miles. these tires come with a -mile warranty. the manufacturer of the tires can adjust during the production process, but the adjustment of is quite costly. the manufacturer wants to set once and for all so that only of the tires will fail before warranty expires. find the standard deviation to be set. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.
Answers
The standard deviation will be 6816.9645.
How to compute the standard deviation?From the information given, the mean is 74000 and X is given as 60000.
P[(Z < (-60000 - 74000)/SD] = 0.02
Note that 0.02 will be -2.0537 under the normal distribution table.
-14000/SD = -2.0537
SD = -14000/-2.0537
SD = 6816.9645
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Select the correct answer.
A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.
What is the range of the function shown on the graph above?
A.
B.
C.
D.
Answers
The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.
What is a range?A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.
How to determine the range?Based on the graph of the two points, we can logically deduce the following information:
The least value on the y-axis is 0.The greatest value on the y-axis is 7.The endpoints on the y-axis are 0 and 7.Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.
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Mason can type 210 words in 6 minutes. find the unit rate ( words per mintute )
Answers
Answer:
Step-by-step explanation:
words type per minute =210/6
=35
unit rate = words/min
so if 210 words can be typed in 6 mins,
6 mins -> 210 words
(divide 6 throughout)
1 min -> 210words / 6 mins
1 min -> 35 words
therefore, the unit rate is 35 words per minute.
hope this helps you! feel free to clarify!
What is the result of adding the system of equations? Equation 1: 2x + y = 4 Equation 2: 3x - y = 6 A) 5x = 10 B) x = 5 C) x = 10
Answers
An equation is formed of two equal expressions. The correct option is A, the sum will be equal to 5x = 10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two systems of equations Equation1: 2x+y=4 and Equation 2: 3x-y=6. Now if the two of the given equations are added the result will be,
2x + y + 3x - y = 4 + 6
5x = 10
Hence, the correct option is A, the sum will be equal to 5x = 10.
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Assuming no air resistance, how long would it
take a skydiver to fall 180 feet? (Estimate
your answer to one decimal place. Hint: Use the
equation d = 16+²)
Answers
Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.
What is the height considering no air resistance?The height in feet that a person has fallen after t seconds is given by:
d = 16t².
In this problem, we want the time for a fall of 180 feet, hence.
[tex]16t^2 = 180[/tex]
[tex]t = \sqrt{\frac{180}{16}}[/tex]
t = 3.35
The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.
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