the x-coordinates have to be different, and the y-coordinates can be the same. if there were two points on a graph that had the same x-coordinate, the two points would be on top of each other at different y-values, preventing the graph from passing the vertical line test. if a graph passes the vertical line test, it is a function.
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answer:1933
Step-by-step explanation:
tell me all the questions of this
Answer:
To find the radius..just divide them by two
For the diameter multiply by two
Circumference formula is
\(2\pi \: r\)
You flip a coin 100 times and record that 48 are heads and 52 are tails. What is the relative frequency or experimental probability of landing on heads?
whats the percentage
As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.
The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:
Number of Heads / Total Number of Flips = Experimental Probability of Heads
The number of heads in this case is 48, and the total number of flips is 100. Therefore,
Heads Experimental Probability = 48 / 100 = 0.48
We can multiply this by 100 to get a percentage:
Heads Experimental Probability = 0.48 * 100 = 48%
As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.
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How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
A deposit of $225 as an integer
Answer:
225
Step-by-step explanation:
A deposit is positive, so a deposit of $225 as an integer (number) would be 225I hope this helps!
Seventh grade > Y.12 Area of compound figures with triangles MRGWhat is the area of this figure?3 mm4 mm8 mm2 mm5 mm6 mm3 mmWrite your answer using decimals, if necessary.square millimeters6 mm
Area of the figure = 72mm²
Explanation:Given:
An irregular figure
To find:
the area of the figure
To determine the area, we will divide the figure into shapes with known areas
We have 1 triangle, 1 rectangle, and 1 square. We will find the area of each of the shapes
Area of triangle = 1/2 × base × height
height = 3mm
base = 4 + 3 + 1 = 8mm
\(\begin{gathered} Area\text{ of the triangle = }\frac{1}{2}\times8\times3 \\ \\ Area\text{ of the traingle = 12 mm}^2 \end{gathered}\)Area of rectangle = length × width
length = 8mm, width = 3mm
\(\begin{gathered} Area\text{ of the rectangle = 8 }\times\text{ 3} \\ \\ Area\text{ of the rectangle = 24 mm}^2 \end{gathered}\)Area of square = length²
length = 6 mm
\(\begin{gathered} Area\text{ of the square = 6}^2 \\ \\ Area\text{ of the square = 36 mm}^2 \end{gathered}\)Area of the figure = Area of triangle + Area of the rectangle + Area of the square
\(\begin{gathered} Area\text{ of the figure = 12 + 24 + 36} \\ \\ Area\text{ of the figure = 72 mm}^2 \end{gathered}\)Please answer this correctly
Answer:
Answer: 75.4 or 75.398. So we can plug in the formula pi*r^2*h. R being radius and h being height. So then we can put and get pi*2^2*6 = pi*4*6 = pi*24 = 75.398 = 75.40.
Therefore the answer is 75.40 and not close to 301, the radius is not 4 but 2. They're giving diameter and not radius.two pounds of sugar cost $1.50 how much sugar do you get per dollar
Answer:
you get a pound of sugar for 75 cents
Step-by-step explanation:
1.5 / 2 = 0.75
you get a pound of sugar for 75 cents
Simplify the expression. (2+1)×42÷2
Answer:
63
Step-by-step explanation:
Simplifying the expression,
→ (2+1) × 42 ÷ 2
→ 3 × 42 ÷ 2
→ 126 ÷ 2 = 63
Hence, the answer is 63.
Let a and b be real numbers where a=/b=/c=/0 which of the following functions could represent the graph below?
Answer: The second option; y = (x - a)^2*(x-b)^4
Step-by-step explanation:
Ok, we have that a and b are real numbers different than zero.
In the graph, we can see that the line touches the x-axis in two values. Now, if we would have an equation like:
y = x*(x - a)^3*(x - b)^3
then when x = 0 we would have:
y = 0*(0-a)^3*(0-b)^3 = 0
But in the graph, we can see that when x = 0, the value of y is different than zero, so we can discard options 1 and 3.
So the remaining options are:
y = (x - a)^2*(x-b)^4
y = (x - a)^5*(x - b)
Now, another thing you can see in the graph is that it is always positive.
Particularly the second option allows negative values for y because it has odd powers, then we can also discard this option.
(For example, if x > a and x < b we would have a negative value for y)
Then the only remaining option is y = (x - a)^2*(x-b)^4
Answer:
B.y = (x - a)^2*(x-b)^4
Step-by-step explanation:
EDGE 2020 Brainliest please
Solve equation by using the quadratic formula.
25x^2 + 35x = -12
If 7 is added to a number , the result is 2 less than 4 times that number. Find the number
Answer:
The number is 3
Step-by-step explanation:
Let n = the number
7 + n = 4n - 2
Simplify
9 + n = 4n
9 = 3n
3 = n
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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A researcher plans to conduct a test of hypotheses at the α=0.05 significance level. She designs her study to have a power of 0.80 at a particular alternative value of the parameter of interest. 18. The probability that the researcher will commit a Type I error is a. 0.05. b. 0.20. c. 0.80. d. equal to the P-value and cannot be determined until the data have been collected. 19. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computed the power is a. 0.05. b. 0.20. c. 0.80. d. equal to the 1 – (P-value) and cannot be determined until the data have been collected. 20. The appraised values of three recently sold houses in the Columbus area are (in thousands of dollars) 160, 215, and 195. The standard error of the mean of these three appraised values is a. 190.00. b. 27.84. c. 22.73. d. 16.07.
The concept of type I and type II error was used to set hypothesis and to pick the correct option
What is Hypothesis?
In a scientific setting, a hypothesis (plural: hypotheses) is a tested claim regarding the relationship between two or more variables or a suggested explanation for a phenomenon that has been observed.
Given that,
Significance level: α = 0.05
Power of the test = 0.80
Making statistical claims about the characteristics of the population is made possible by hypothesis testing.
The type I error is also known as significance level.
Since, the given α = 0.05
Therefore, the type I error is 0.05
As a result, choice (a) is accurate.
Type I error is the probability of rejection \(H_{0}\) when \(H_{0}\) is true.
The type II error is denoted by β .
Now,
Power = 0.80
1 - β = 0.80
β = 1 - 0.80
β = 0.20
Therefore, the type II error is 0.20
Hence, option (b) is correct.
Type II error is fail to reject \(H_{0}\) when \(H_{0}\) is false.
The concept of type I and type II error was used to set hypothesis and to pick the correct option
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If a loading ramp is placed next to a truck, at a height of 8
feet, and the inclined portion of the ramp is 17 feet long, what angle (in degrees) does the ramp make with the ground?
Round your answer to one-tenth of a degree.
The angle that the ramp makes with the ground is approximately 28.07 degrees.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):
Sin(θ) = 8/17
We can use a calculator to find the inverse sin of this ratio to get the angle θ:
θ = sin⁻¹(8/17)
θ ≈ 28.07 degrees
Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.
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Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place
The radius of the circle, marked p on the diagram, is approximately 5.8 cm.
What is radius?Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.
The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.
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Find the value of (2x+19)
Answer:
x = All real numbers
Step-by-step explanation:
As stated in the comments, x has no numerical value, because it states one side of an algebraic equation. That means x can be any number.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x=all real numbers
(I added this so the other person could be marked brainliest)
When Makayla runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.5 seconds. What is the probability that in a given race, her finishing time will be between 75 and 78 seconds, to the nearest thousandth?
The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:
0.4772 = 47.72%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the finishing times are given as follows:
\(\mu = 75, \sigma = 1.5\)
The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:
X = 78:
Z = (78 - 75)/1.5
Z = 2
Z = 2 has a p-value of 0.9772.
X = 75:
Z = (75 - 75)/1.5
Z = 0
Z = 0 has a p-value of 0.5.
0.9772 - 0.5 = 0.4772 = 47.72%.
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What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
PLEASE HELP I ONLY HAVE AN HOUR LEFT !!!!!!
Answer:
1,3, and 4
Step-by-step explanation:
Find each trig ratio.
Answer:
a) 12/13
b) 5/13
Step-by-step explanation:
sin k = 12/13
cos k = 5/13
1 2/3 divided by 1 1/4
1 2/3 = 5/3
1 1/4 = 5/4 -----------> flip this one to make it multiplication
5/3*4/5 = 5*4 / 3*5 = 20/15 = 4/3 = 1 1/3
Answer: 1 1/3 or 4/3 as an improper fraction
Step-by-step explanation: keep, change, flip :D lol
This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy bar. If = 4 cm, what is the smallest diameter of wrapper that will fit the candy bar?
Answer:
Step-by-step explanation:
No figure supplied, so lots of assumptions needed.
Assume side length of triangle is 4 cm.
( If = 4 cm means ??)
Assume ABC is equiangular, all three angles are 60 degrees.
(This is a cross-sectional view, but don't see any)
Side length = 4
altitude of triangle = 4 sin(60) = 2sqrt(3)
radius of circumscribed circle of equilateral triangle
R = (2/3) altitude
= (2/3)*2sqrt(3)
= (4/3)sqrt(3)
Diameter
D = 2R
= (8/3) sqrt(3)
Answer: 8 cm
Step-by-step explanation:
The figure in the image attached below shows that there are two specific angles that are congruent to each other, angles AD and CD.
We are given the length of one of these angles:
AD= 4 cm so we must multiply 4 by 2, since there are TWO angles measuring 4 cm.
4 cm x 2 angles (AD and CD) =8 cm.
Proof of answer is shown below!
Please help no links.Mr. Longley is buying a $15 box of trail mix at Whole Foods, where tax is 6%. If Mr. Longley has
a coupon for 10% off the price of any item, how much does he end up paying?
I
Answer:
$14.40
Step-by-step explanation:
my way of doing things:
15/100=0.15=1%of total amount
0.15 x 6=0.9= the 6% which is the tax
0.15 x 10 = 1.5=the coupon
Take the coupon amount $1.50 minus the tax amount $0.90 =$0.60. Because the coupon amount is greater than the tax the 60 cents gets taken away from the original 15 dollars leaving Mr. Longely only having to pay $14.40.
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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(3, 2), y = x + 5 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
Answer:
y = x - 1
Step-by-step explanation:
Since the line is parallel to y = x + 5, it will have the same slope, which is 1.
Plug in the slope and the given point into y = mx + b, and solve for b:
y = mx + b
2 = 1(3) + b
2 = 3 + b
-1 = b
Then, plug in the slope and b into the equation:
y = mx + b
y = x - 1
So, the equation is y = x - 1
The equation of the line in slope-intercept form is: y = x - 1
What is Slope-intercept Equation?The equation of a line, where m is the slope and b is the y-intercept, is modelled by the equation, y = mx + b.Slope of parallel lines will be the same.Thus, the slope (m) of the line that is parallel to y = x + 5 will be 1.
Write the equation of the line by substituting (a, b) = (3, 2) and m = 1 into y - b = m(x - a):
y - 2 = 1(x - 3)
Rewrite in slope-intercept form:y - 2 = x - 3
y = x - 3 + 2
y = x - 1
Therefore, the equation of the line in slope-intercept form is: y = x - 1.
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please help! (its in the pic) thank you! :)
Bag with 4 red tiles, 5 blue tiles,6 green tiles, and 2 yellow tiles. What is the probability of yellow or blue?
Answer:
3/(4+5+3+6) = 3/18 = 1/6
Step-by-step explanation: 1/6%
Answer:
The probability of Blue tiles are 5 out of 17(5:7)
The yellow would be 2 out of 17(2:17)
Step-by-step explanation:
You count how many titles there are all together and then look at how many blue titles there are and same for the yellow. Then put it in a ratio form or the number out of all the titles.
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
The lengths of the sides of a triangle are 3 , 4 , 5 Classify the triangle as acute, right, or obtuse.