Answer:
The Answer is A
Step-by-step explanation:
The Answer is A
Answer:THE ANSWER IS NOT A ITS C I JUST TOOK THE TEST
Step-by-step explanation:
There are 345 students at a college who have taken a course in calculus, 214 who have taken a course in discrete mathematics, and 190 who have taken courses in both calculus and discrete mathematics. How many students have taken a course in either calculus or discrete mathematics
The number of students who have taken either calculus or discrete mathematics is 369.
Calculus is a branch of mathematics that includes the observation of prices of change. Earlier than calculus was invented, all math was static: it could most effectively help calculate objects that were perfectly nevertheless. but the universe is continuously shifting and changing.
A number of students who choose either calculus or discrete mathematics = Number of students who choose calculus + Number of students who choose discrete mathematics - Number of students who choose Calculus and discrete mathematics.
Number of students who choose either calculus or discrete mathematics = 345 + 214 - 190
Number of students who either choose calculus or discrete mathematics = 369
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Can you help me with explanation will give brainiest
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
Suppose you've calculated a Pearson correlation a coefficient and had a final value of +10. How do you interpret this result? a O impossible value of r O significant correlation O positive correlation O negative correlation
If a Pearson correlation coefficient has a final value of +10, interpretation of this result is that it is an impossible value of r. Therefore, the correct option is A.
It is given that the Pearson correlation coefficient you calculated has a value of +10. This is actually an impossible value of r. Pearson correlation coefficient (r) ranges between -1 and +1. A value of +1 indicates a perfect positive correlation, while a value of -1 indicates a perfect negative correlation. A value of 0 suggests no correlation between the variables.
A value of +10 would fall outside of this range, making it an impossible value of r. Therefore, this result cannot be interpreted in terms of positive or negative correlation, nor can it be considered a significant correlation. It is important to ensure that the range of possible values is considered when interpreting statistical results. Hence, the correct answer is option A.
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Solve for w.
44=2w
Simplify your answer as much as possible.
Answer:
The answer is 22.
Step-by-step explanation:
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shryia read a 481 481481-page-long book cover to cover in a single session, at a constant rate. after reading for 1.5 1.51, point, 5 hours, she had 403 403403 pages left to read. how fast was shryia reading? pages per hour how long did it take her to read the entire book? hours
Shryia was reading at a speed of 524.67 pages per hour, and it took her approximately 917.06 hours to read the entire book.
To find Shryia's reading speed, we can use the formula:
\(reading speed = (total pages - pages left) / time\)
We are given that the book has 481481481 pages, and after reading for 1.5 1.51, point, 5 hours, Shryia had 403403403 pages left to read. So, the total number of pages she read is:
481 - 403 = 787
The time taken to read these pages is:
1.5 hours
So, her reading speed is:
reading speed = 787 / 1.5 = 524.67 pages per hour
To find how long it took her to read the entire book, we can use the formula:
time = total pages / reading speed
So, the time taken to read the entire book is:
time = 481481481 / 524.67 ≈ 917.06 hours
Therefore, Shryia was reading at a speed of 524.67 pages per hour, and it took her approximately 917.06 hours to read the entire book.
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equation with variables on both sides: decimals & fractions 4x + 8 = 7.2 + 5x
Answer:
4x + 8 = 7.2 + 5x
1. 4x - 4x + 8 = 7.2 + 5x - 4x
2. 8 = 7.2 + x
3. 8 - 7.2 = 7.2 - 7.2 + x
4. 0.8 = x
Step-by-step explanation:
Final Answer: \(x = 0.8\)
Steps/Reasons/Explanation:
Question: Equation with variables on both sides: decimals & fractions \(4x + 8 = 7.2 + 5x\).
Step 1: Subtract \(4x\) from both sides.
\(8 = 7.2 + 5x - 4x\)
Step 2: Simplify \(7.2 + 5x - 4x\) to \(7.2 + x\).
\(8 = 7.2 + x\)
Step 3: Subtract \(7.2\) from both sides.
\(8 - 7.2 = x\)
Step 4: Simplify \(8 - 7.2\) to \(0.8\).
\(0.8 = x\)
Step 5: Switch sides.
\(x = 0.8\)
~I hope I helped you :)~
Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]
Answer:
Sorry
Step-by-step explanation:
I not know this one
WILL GIVE BRAINLIEST Use the internet to find the high temperatures for each of the last seven days in Stockton, CA. Then find the median high temperature
The median high temperature for the last seven days in Stockton, CA is 94°F.
What is median?In statistics, the median is a measure οf central tendency that represents the middle value οf a set οf data. It is the value that separates the data set intο twο equal halves, with half οf the data pοints lying belοw the median and the οther half lying abοve it.
Tο find the high temperatures fοr each οf the last seven days in Stοcktοn, CA, yοu can use a search engine οr weather website such as AccuWeather, Weather.cοm, οr The Weather Channel. Here are the high temperatures fοr the last seven days in Stοcktοn, CA as οf my knοwledge cutοff οf September 2021:
Day 1: 92°F
Day 2: 94°F
Day 3: 97°F
Day 4: 96°F
Day 5: 93°F
Day 6: 90°F
Day 7: 87°F
To find the median high temperature, you can first arrange the temperatures in order from lowest to highest:
87°F, 90°F, 92°F, 93°F, 94°F, 96°F, 97°F
Since there are an odd number of temperatures, the median is simply the middle temperature, which is 94°F.
Therefore, the median high temperature for the last seven days in Stockton, CA is 94°F.
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An airplane travels at a bearing of 100° (clockwise from North) at 180 km/hr. A wind redirects the plane, blowing at 30 km/hr at a bearing of 42°. Find the true speed of the plane and its new direction by modeling the speeds and directions as vectors.
The first step is converting both the velocity and the wind in vector form, as follows:
Velocity: \(\vec{v_1} = 180 \text{ km/hr} \angle 100^\circ\)Wind: \(\vec{v_2} = 30 \text{ km/hr} \angle 42^\circ\)Then the true speed of the plane is given by the addition of these two vectors, as follows:
\(\vec{v_1} + \vec{v_2} = \sqrt{|v_1|^2 + |v_2|^2 + 2 \cdot |v_1| \cdot |v_2| \cdot \cos(\theta)}\)
The magnitudes of each vector are given as follows:
\(|v_1| = 180\).\(|v_2| = 30\).The angle between these two vectors is given as follows:
\(\theta = 100^\circ - 42^\circ = 58^\circ\)
Thus the resulting speed is obtained as follows:
\(\vec{v_1} + \vec{v_2} = \sqrt{180^2 + 30^2 + 2 \cdot 180 \cdot 30 \cdot \cos(58^\circ)} = 197.54\)
The resulting angle of the plane is then obtained as follows:
\(\angle = \arctan\left(\frac{|v_1| \cdot \sin(\theta) + |v_2| \cdot \sin(\theta_2)}{|v_1| \cdot \cos(\theta) + |v_2| \cdot \cos(\theta_2)}\right)\)
Hence:
\(\angle = \arctan\left(\frac{180 \cdot \sin(58^\circ) + 30 \cdot \sin(42^\circ)}{180 \cdot \cos(58^\circ) + 30 \cdot \cos(42^\circ)}\right)\)
\(\angle = 59.87^\circ\)
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Answer:
197.5 km/h
Step-by-step explanation:
You want the resultant speed with an airplane at a speed of 180 km/h at 100° is acted upon by a wind at a speed of 30 km/h at 42°. Angles are bearings CW from north.
SolutionA vector calculator makes short work of this. The resultant speed is ...
197.5 km/h at 92.6°
Law of cosines
The law of cosines can be used to find the side opposite the known angle in the triangle with sides 30 km/h and 180 km/h. The known angle is ...
180° -(100° -42°) = 122°
So, the resultant speed is ...
c = √(a²+b²-2ab·cos(C))
= √(30² +180² -2(30)(180)·cos(122°)) ≈ √39023.13
c ≈ 197.543
The true speed of the plane is about 197.5 km/h.
__
Additional comment
You will notice that we used bearing angles directly in the calculator computation. As long as angles are consistently measured, it doesn't matter how they're measured.
When plotting the vectors on the Cartesian plane, we need to subtract the bearing angles from 90° to make them correspond to the vectors plotted on a map with north at the top.
a(t)=4(t+3)2,v0=−1,x0=1 16. a(t)=t+41,v0=−1,x0=1 In Problems 11 through 18 , find the position function x(t) of a moving particle with the given acceleration a(t), initial position x0=x(0), and initial velocity v0=v(0)
To find the position function x(t) of a moving particle, we integrate the given acceleration function twice with respect to time, incorporating the initial conditions x0=x(0) and v0=v(0) to determine the constants of integration. This process allows us to track the position of the particle at any given time.
To find the position function x(t), we start by integrating the given acceleration function a(t) twice. The first integration gives us the velocity function v(t), and the second integration gives us the position function x(t).
We apply the initial conditions x(0) = x0 and v(0) = v0 to determine the constants of integration. By substituting these initial conditions into the velocity function v(t), we can solve for the constant of integration. Similarly, by substituting the initial conditions into the position function x(t), we can solve for the remaining constant of integration.
Once we have the position function x(t), we can evaluate it for any given time t to determine the position of the particle at that time.
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Jimbo has been putting spare change in a jar for a month. He has collected a total of
117 coins. In one jar he has pennies and in another jar he has quarters. He added them
up and found he had $17.25. How many quarters did he have?
Answer:
34
Step-by-step explanation:
17.25/2 = 8.62500
8.62500/0.25 = 34 quarter coins,
117 - 34.5 = 83 pennies
jillian measured the mass of her empty backpack and found it to be 0.428 kilogram. which shows a way to represent the value of the 8 in this number?
F. (8x 1/100)
H. (8x 1/1,000)
G. (8x 1/10)
J. (8x 0.01)
A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?
The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.
Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.
Since ther is a total of 382 balls, hence:
x + y + z = 382 (1)
There is three times as many red balls as yellow balls:
y = 3x
3x - y = 0 (2)
52 more blue balls than yellow balls, hence:
z = y + 52
- y - z = -52 (3)
Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134
Hence there are 62 red balls, 186 yellow balls and 134 blue balls
Green balls = 62 - 30 = 32 balls
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A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed . find the mean of the distribution of scores. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.
Answer: μ = 647.4
Step-by-step explanation:
The question says
"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"
And we are told to find the mean of the distribution scores.
Given mean μ = ?
we have from standard normal table that
P(Z > 1.282) = 0.1
Therefore the given Z score of a score of 750 is given thus 1.282.
the z score is given:
x - μ / α = 1.282
750 - μ / 80 = 1.282
Therefore μ = (750 - 80)*1.282 = 647.4
So we have that μ = 647.4
cheers i hope this helped !!!
What value of p makes the equation true?
-3p+1/8=-1/4
Answer:
p= 1/8 or p= 0.125
Step-by-step explanation:
Part C
What is the equation represented by the graph?
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)
Answer:
\(y=8x\)
Step-by-step explanation:
We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:
\(y = mx\)
where \(m\) is the ratio of x to y.
This ratio is also known as the line's slope. We can solve for the slope using the equation:
slope = rise / run
slope = \(\Delta\)y / \(\Delta\)x
slope = 8 / 1
slope = 8
\(m=8\)
So, the equation of the line is:
\(y=mx\)
\(\boxed{y=8x}\)
Solve for x: 5x one third(3x 6) > 14 x > twelve fifths x > 2 x < twelve fifths x < 2
Answer:
x > 2
Step-by-step explanation:
I hope this helps
A car travels 76 km in 49 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
Step-by-step explanation:
76 km * 60 min = 4560/49 km/hr = 93.1
49 min 1 hour
Find the missing side. Round your answer to the nearest tenth. 19, 36
Answer:
x=110.6
Step-by-step explanation:
sin(19)=36/x. x=36/sin(19)=110.6
how many yards are in the perimeter of a square that measures 99 inchs on each side?
Express these numerals in the expanded form of power 10. (4) a. 5060 b.6079000 2. How many millions are there in 3 crore?(1) 3.What is the greatest number of 6 digits?(1) 4.What is the least number formed by 5 digits 4,1,8,0,7?(1) 5. Simplify: a. 18 - 7 + 9* 48/6 - 5 (1) b. 72/ 12 [ 180/4{10 +(15 - 45 /9*2)}]
Answer:
\(a)\ 5.06 * 10\³\)
\(b)\ 6.079 * 10^6\)
\(c)\ 3\ crore = 30\ million\)
\(d)\ 999999\)
\(e)\ 10478\)
\(f)\ 78\)
\(g)\ 2730\)
Step-by-step explanation:
Solving (a): 5060 as a power of 10
We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.
So,
\(5 0 6 0 = 5.06 * 10^3\)
Solving (b): 6079000 as a power of 10
We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.
So,
\(6079000 = 6.079 * 10^6\)
Solving (c): 3 crore to millions
\(1\ crore = 10\ million\)
Multiply by 3
\(3\ crore = 30\ million\)
Solving (d): The greatest 6 digits
The greatest unit digit is 9. So, we simply write out 9 in 6 places
\(Greatest= 99999\)
Solving (e): The least 5-digit formed from 4,1,8,0,7
To do this, we start the number from the smallest non-zero digit.
The remaining 4 digits will then be in an increasing order
So, we have:
\(Least = 10478\)
Solving (f):
\(18 - 7 + 9 * \frac{48}{6} - 5\)
Using BODMAS
Evaluate the division, first
\(18 - 7 + 9 * 8 - 5\)
Then multiplication
\(18 - 7 + 72 - 5\)
Add up the remaining digits
\(78\)
Solving (g): This question is not clear.
I will assume the expression is:
\(\frac{72}{ 12}* [ \frac{180}{4}*{10 +(15 - \frac{45}{9}*2)}]\)
Evaluate all divisions
\(6* [ 45*{10 +(15 - 5*2)}]\)
Solve the multiplication in brackets
\(6* [ 45*{10 +(15 - 10)}]\)
Remove the inner bracket
\(6* [ 45*{10 +5}]\)
Evaluate 45 * 10
\(6* [ 450 +5}]\)
Remove the bracket
\(6* 455\)
Multiply
\(2730\)
Mr.West bought merchandise totaling $3,500. His overhead was $1,200. He sold the merchandise for $5,000. Find his percent on the profit based on the cost, to the nearest whole percent.
plz answer fast i rlly need it now
Answer:
17.647 = 18%
Step-by-step explanation:
I hope this helps also pls rate brainliest
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral AB'CD'. The coordinates of A' are ( )
The reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D*. The coordinates of A" are ()
The coordinates of A' are (5, -3).
Since the reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D, the coordinates of A" are (8, -1).
What is a reflection?In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
Since quadrilateral A'B'C'D' underwent a reflection across the x-axis to form quadrilateral AB'CD', the original coordinates of triangle NLM can be calculated as follows;
(x, y) → (-x, y)
A (-5, -3) → A' (5, -3)
By applying a translation, we have:
A' (5, -3) → (5 + 3, -3 + 2) = A" (8, -1).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
. Is there more than one fraction you could use to
estimate 27% of 200? Explain.
Yes, there are multiple fractions that we could use to estimate 27% of 200.
What is fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split.
27% of 200 = 0.27 × 200 = 54
Now, we can find fractions that are close to 0.27 and use them to estimate 27% of 200. For example:
1/4 = 0.25, which is close to 0.27. So we can estimate 27% of 200 as 1/4 of 200:
27% of 200 ≈ (1/4) × 200 = 50
3/11 = 0.2727..., which is also close to 0.27. So we can estimate 27% of 200 as 3/11 of 200:
27% of 200 ≈ (3/11) × 200 ≈ 54.55...
As we can see, both of these fractions give us estimates that are close to the actual value of 27% of 200.
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Today, everything at a store is on sale. The store offers a 20% discount.
The regular price of a T-shirt is $18. What is the discount price? = $14.40
The discount price of a hat is $18. What is the regular price? = $ 18.2
Now, If the regular price of an item is x dollars, what is the discount price in dollars?
Answer:
16.8
Step-by-step explanation:
just took it on USA test-prep
a couple plans to have 6 children because they want 3 boys and 3 girls. a statistician friend tells them this is not a very good idea as their desired outcome is unlikely. is their friend correct? question 1 options: yes. random events only approach their expected outcome with consistency over many repititions. yes. the probability of each outcome is not known, and you can only use random events to make predictions if the probability of each event is known in advance. no. with 6 children, it is reasonably safe to assume that they will have 3 boys and 3 girls. question 2 (1 point)
The probability of having exactly 3 boys and 3 girls with 6 children is 0.25, according to the binomial probability formula. It is not guaranteed, but there is a reasonable chance of achieving the desired outcome.
To determine the probability of having exactly 3 boys and 3 girls with 6 children, we can use the binomial probability formula
P(X = k) = (n choose k) * \(p^k * (1-p)^{n-k}\)
Where
P(X = k) is the probability of getting exactly k successes (in this case, having exactly 3 boys)
n is the total number of trials (in this case, the number of children)
k is the number of successes (in this case, the desired number of boys)
p is the probability of success in a single trial (in this case, the probability of having a boy, which is 0.5)
Calculating the probability
P(X = 3) = (6 choose 3) * (0.5)³ * (1-0.5)⁶⁻³
P(X = 3) = (6! / (3! * (6-3)!)) * (0.5)³ * (0.5)³
P(X = 3) = (6! / (3! * 3!)) * (0.5)³ * (0.5)³
P(X = 3) = (6 * 5 * 4 / (3 * 2 * 1)) * (0.5)³ * (0.5)³
P(X = 3) = (20) * (0.125) * (0.125)
P(X = 3) = 0.25
So, the probability of having exactly 3 boys and 3 girls with 6 children is 0.25.
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In the 2020-21 season, Chris Paul had a free throw percentage of 93.4 what does this mean
For every 100 free throws Chris Paul attempted, he made approximately 93 of them.
We have,
Chris Paul's free throw percentage of 93.4 means that he made 93.4% of his free throw attempts during the 2020-21 season.
In other words, for every 100 free throws he attempted, he made approximately 93 of them.
This is a high free throw percentage and indicates that Chris Paul is a skilled free throw shooter.
Thus,
For every 100 free throws Chris Paul attempted, he made approximately 93 of them.
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Select which angle is supplementary to angle 1
Answer:
Angle 2
Step-by-step explanation:
Suplementary - 2 angles which equal 180 degrees
how is x-y+z the same as x-(y+z) or (x-y)+z?
The expression "x - y + z" can be simplified and rearranged using the associative property and commutative property of addition. Let's break it down step by step:
1. x - y + z
According to the associative property of addition, the grouping of terms does not affect the result when only addition and subtraction are involved. Therefore, we can choose to group "y" and "z" together:
2. x + (-y + z)
Next, using the commutative property of addition, we can rearrange the terms "-y + z" as "z + (-y)":
3. x + (z + (-y))
Now, we have the expression "x + (z + (-y))". According to the associative property of addition, we can group "x" and "z + (-y)" together:
4. (x + z) + (-y)
Finally, we can rewrite the expression as "(x + z) - y", which is equivalent to "(x - y) + z":
5. (x + z) + (-y) = (x - y) + z
Therefore, "x - y + z" is indeed the same as both "x - (y + z)" and "(x - y) + z" due to the associative and commutative properties of addition.
Chen
An architect designs two similar triangular patos. The first patio has angle measures of (x-30), (y+15), and 60 The second patio has angle measures of X -10 40° and 80°
The values of x and y are 50 and 35 respectively.
The corresponding angles of similar triangles are equal. Therefore,
The first patio angles are:
x + 10
y + 15
70°
The second patio angles are ;
x + 20
50°
60°
Therefore,
x + 20 = 70
x = 70 - 20
x = 50
y + 15 = 50
y = 50 - 15
y = 35