Answers
a) The value of \(k'(0)\) is \(\frac{3\sqrt{3}}{2}\).
b) The value of \(m'(5)\) is approximately -0.034.
c) The value of \(x\) is approximately 0.622.
a) \(f(x)\) is a piecewise function formed by two linear functions, whose form is defined by the following definition:
\(f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b\) (1)
Where:
\((x_{1}, y_{1})\), \((x_{2}, y_{2})\) - Two distinct points of the line.\(x\) - Independent variable.\(f(x)\) - Dependent variable.\(b\) - x-InterceptNow we proceed to determine the linear functions:
Line 1: \(x \in [-1, 2)\)
\((x_{1}, y_{1}) = (0, 3)\), \((x_{2}, y_{2}) = (1, 5)\), \(b = 3\)
\(f(x) = \frac{5-3}{1-0}\cdot x + 3\)
\(f(x) = 2\cdot x + 3\)
Line 2: \(x \in [2, 8]\)
\((x_{1}, y_{1}) = (2, 7)\), \((x_{2}, y_{2}) = (8, 3)\)
First, we determine the slope of function:
\(m = \frac{3-7}{8-2}\)
\(m = -\frac{2}{3}\)
Now we proceed to determine the intercept of the linear function:
\(7 = -\frac{2}{3}\cdot 2 + b\)
\(b = \frac{25}{3}\)
\(f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}\)
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
\(k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)\)
If we know that \(f(x) = 2\cdot x + 3\), \(f'(x) = 2\), \(g(x) = \sqrt{x^{2}-x+3}\), \(g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}\) and \(x = 0\), then:
\(k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}\)
\(k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}\)
\(k'(0) = \frac{12-3}{2\sqrt{3}}\)
\(k'(0) = \frac{9}{2\sqrt{3}}\)
\(k'(0) = \frac{3\sqrt{3}}{2}\)
The value of \(k'(0)\) is \(\frac{3\sqrt{3}}{2}\).
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
\(m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}\) (2)
If we know that \(f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}\), \(f'(x) = -\frac{2}{3}\), \(g(x) = \sqrt{x^{2}-x+3}\), \(g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}\) and \(x = 5\), then:
\(f(5) = 5\)
\(f'(5) = -\frac{2}{3}\)
\(g(5) = \sqrt{23}\)
\(g'(5) = \frac{9\sqrt{23}}{46}\)
\(m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}\)
\(m'(5) \approx -0.034\)
The value of \(m'(5)\) is approximately -0.034.
c) In this case we must find a value of \(x\), so that \(h'(x) = 2\). Hence, we have the following formula below:
\(5\cdot e^{x}-9\cdot \cos x = 2\)
A quick approach is using a graphing tool a locate a point so that \(5\cdot e^{x}-9\cdot \cos x = 2\). According to this, the value of \(x\) is approximately 0.622.
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Related Questions
Simplify cube root of 7 over fifth root of 7. 7 to the power of one fifth 7 to the power of eight fifteenths 7 to the power of five thirds 7 to the power of two fifteenths
Answers
Answer:
\(\huge\boxed{7^{\frac{2}{15}}}\)
Step-by-step explanation:
\(\dfrac{\sqrt[3]7}{\sqrt[5]7}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{7^\frac{1}{3}}{7^\frac{1}{5}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=7^{\frac{1}{3}-\frac{1}{5}}\qquad\text{find the common denominator (15)}\\\\=7^{\frac{(1)(5)}{(3)(5)}-\frac{(1)(3)}{(5)(3)}}=7^{\frac{5-3}{15}}=7^{\frac{2}{15}}\)
Answer:
D. 7 to the power of two fifteenths
Step-by-step explanation:
CAN ANYONE HELP ANSWER THIS
Answers
9514 1404 393
Answer:
58
Step-by-step explanation:
The marked points on the graph show that the number of hot cocoas sold decreases by 6 when the temperature goes up by 6 degrees. That is, the line has a slope of -1. The y-intercept is 100, so the equation of the line can be written as ...
y = mx +b . . . . . line with slope m and y-intercept b
y = -x +100
Then for x = 42, the expected value of y is ...
y = -42 +100 = 58
Mei Mei can expect to sell 58 hot cocoas on a day when the high is 42°F.
Help me please, I’m very confused on what to do
Answers
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
Grayson can text 70 words in 4 minutes. At this rate, how many minutes would it take him to text 140 words?
Answers
70 words = 4 mins
x2 x2
140 words = 8 mins.
A house is on an 80,000 sq. ft lot. About how many acres is the lot? There are 43.560 square feet in a acre?
Answers
What is the classification for this polynomial?
10
Click on the correct answer.
monomial
binomial
trinomial
Answers
Colton is building a new shed for his backyard. The shed has a right rectangular prism for the base and triangular prism for the roof component. Colton included the dimensions of the shed in his diagram.
1.) How much can Colton store inside the new shed? Explain your reasoning.
2.) Colton wants to paint the outside of the shed including the door to match his house. Explain how much paint Colton will need to paint the shed.
3.) A gallon of paint covers 200 square feet and cost $16.99.
-How many cans of pain are needed?
-How much will it cost Colton to paint the shed?
Answers
The volume Colton store inside the new shed is 640 cubic feet.
We are given that;
length=10, width=8, height=6
Now, we can calculate the volumes of each part:
Volume of base prism = lwh Volume of base prism = (10)(8)(6) Volume of base prism = 480 cubic feet
Volume of roof prism = Bh Volume of roof prism = (0.5)(8)(4)(10) Volume of roof prism = 160 cubic feet
Volume of shed = Volume of base prism + Volume of roof prism Volume of shed = 480 + 160 Volume of shed = 640 cubic feet
Therefore, by the given prism the answer will be 640 cubic feet.
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Give the boundaries of the indicated value. 2 pounds The boundaries are pounds
Answers
The limit values of the indicated value, 2 pounds, are the boundaries.
The boundaries of 2 pounds are;
1.5 – 2.5 poundsMethod used to find the boundaries of the indicated valueThe boundaries of an indicated value are the upper and lower bounds of
the value, which are the possible minimum or maximum values the
number may be before being rounded to the current value.
The indicated value = 2 pounds
The lowest possible value, 2 pounds can be before rounding up is 1.5 pounds.
Therefore;
1.5 pounds is the lower bound of 2 pounds.
The highest possible value of 2 pounds is 2.44999... pounds which is approximately 2.5 pounds
Therefore;
The upper bound of 2 pounds is 2.5 poundsWhich gives;
The boundaries of 2 pounds are;
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Given A = {10, 11, 12, 13}, B = {10, 12, 14, 16}, and C = {7, 8, 9, 10, 11}, find
A ∪ B
A ∩ B
A ∪ C
A ∩ C
B ∪ C
B ∩ C
Answers
The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:
A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.
A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.
A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.
A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.
B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.
B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.
Finally, performing the remaining operations:
(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.
(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.
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A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 16% of all applications were from minority members, and exactly 15% of the 2100 open positions were filled by members of the minority.
Required:
a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications.
b. Find the standard deviation of p.
Answers
Answer:
a) The mean is of \(\mu = 0.16\)
b) The standard deviation is of \(s = 0.008\)
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
Question a:
Exactly 16% of all applications were from minority members
This means \(p = 0.16\), and thus, the mean is of \(\mu = p = 0.16\)
b. Find the standard deviation of p.
2100 open positions, thus \(n = 2100\).
\(s = \sqrt{\frac{p(1-p)}{n}}\)
\(s = \sqrt{\frac{0.16*0.84}{2100}}\)
\(s = 0.008\)
The standard deviation is of \(s = 0.008\)
Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)
Answers
Answer:
See below ~
Step-by-step explanation:
Distance Formula
D = √(x₂ - x₁)² + (y₂ - y₁)²Finding the side lengths
AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5CD = √(3 - 0)² + (-6 + 6)² = √9 = 3DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73Perimeter
AB + BC + CD + DA√97 + 5 + 3 + √738 + √97 + √73 units [radical form]8 + 9.85 + 8.5426.39 units (decimal form)200% of the amount is b min.
Answers
Answer:
Step-by-step explanation:
daddy
Answer:
b/2 min
Step-by-step explanation:
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
Answers
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?
Answers
(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.
(ii) The axioms of probability are:
the non-negativity (that the probability of an event is greater than or equal to zero), and
the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).
(iii) When two fair dice are thrown the probability of getting:
a) The sum of 9 = 1/9
b) Two odd numbers = 1/4
c) two prime numbers = 1/9
d) two factors of 12 = 1/9
(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.
How to find probability when two dice are thrown?To find probability when two dice are thrown, we have:
(a) The sum of 9:
We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways
A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.
(b) Two odd numbers:
We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).
possible outcomes = 9,
So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.
(c) Two prime numbers
We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)
possible outcomes = 4,
So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.
(d) Two factors of 12:
We count the number of ways and divide by the total possible outcomes.
The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways
possible outcomes = 6
Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12
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R = 10% p.a. means, P=?, T=?, I=?
Answers
Answer:
p=principal T=time I= simple interest
Step-by-step explanation:
formula A=P+I
Correct answer gets brainliest!!!!
Answers
Answer:
To find the product of matrices AB, we need to multiply the elements of the rows of matrix A with the corresponding elements of the columns of matrix B, and then sum these products.
Since matrix A is a 2x2 matrix and matrix B is a 2x3 matrix, we can perform the multiplication as follows:
AB = | 1 2 | | 1 2 3 | | (1*1)+(2*4) (1*2)+(2*5) (1*3)+(2*6) |
| 3 4 | x | 4 5 6 | = | (3*1)+(4*4) (3*2)+(4*5) (3*3)+(4*6) |
| | | |
| 9 12 15 | | 9 12 15 |
Therefore, the product of matrices AB is a 2x3 matrix, and the answer is C) 2x3.
7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.
Answers
Answer:
y=25,000(0.07)^t
Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.
Which statement(s) are true?
No event can be impossible.
No event can be certain.
The more unlikely an event, the closer it is to impossible.
The more likely an event, the closer it is to certain.
Answers
Answer:
no event can be impossible
Answer: no event can be impossible
Step-by-step explanation:
Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.
Write the equations for Andre's savings and graphs it alongside Noah's. What does the intersection point mean in this situation?
Answers
6 is the intersection point mean in the given situation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Andre started with $15 and deposits $5 per week.
Noah started with $2.50 and deposits $7.50 per week.
Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.
The equations for Andre's savings is y = 5x + 15
The intersection point of the two equations is the point at which both Andre and Noah have the same amount in their savings.
5x+15=7.5x + 2.5
Subtract 7.5x on both sides
-2.5x + 15 = 2.5
Add 2.5x to both sides
Divide both sides by 2.5
x = 6
Hence, 6 is the intersection point mean in this situation.
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sin theta =20 degrees opposite=45 find hyp
Answers
By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.
How to calculate the hypotenuse of a right triangle by trigonometric functions
In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.
Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:
sin θ = h / r
Where:
θ - Angle of the right triangle.h - Length of the side opposite to the angle.r - Length of the hypotenuse.If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:
r = h / sin θ
r = 45 / sin 20°
r ≈ 131.571
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What model would describe the distribution of hurricanes per year, if they were to hit independently of each other and if the probability of a hurricane were the same in every year
Answers
Answer: Poisson distribution
Step-by-step explanation:
The poisson distribution uses the relation :
p(x ; μ) =[(e^-μ) * (μ^x)] / x! ; WHERE
μ = Mean number of occurrences
x = number of Successes,
The events x are independent of one another and the probability or possibility of an event occur is the Same. The event also takes place with in a fixed or specified time interval. Hence, looking at the question, one can see that it meets all the conditions required for the definition of a poisson probability function.
What percent are left hand dominant?
Answers
Total: 231
Total left handed: 35
35/231 = 0.151515151515152
0.151515151515152 X 100 = 15
Final answer = 15%
Pls help me I really nee it pls pls pls pls
Answers
Exponential form of root 3^2y
Answers
Answer:
Please remember
n
√
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is written as
x
1
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in exponential form
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3
√
x
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y
)
1
3
As
(
x
a
)
b
is nothing but
x
a
⋅
b
3
√
x
2
y
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y
)
1
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(
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Step-by-step explanation:
Write the standard form of the equation of the circle with center (−7,1) that passes through the point (−7,9).
Answers
Answer:
(x + 7)² + (y - 1)² = 64
Step-by-step explanation:
Use the equation of a circle, (x - h)² + (y - k)² = r²
Plug in the point and center, then solve for r:
(x - h)² + (y - k)² = r²
(-7 + 7)² + (9 - 1)² = r²
0 + 64 = r²
64 = r²
8 = r
Then, plug in the center and r² into the equation:
(x + 7)² + (y - 1)² = 64
So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation
Please help I’ll mark you brainly
Answers
We see that the y-intercept of the line is 4 while slope = -3/2.
What is slope and intercept?The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.
slope = (-2 - 1) / (4 - 2) = -3 / 2
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Priscilla’s grandmother’s fruit salad recipe calls for one part apple, one part orange, four parts strawberry, two parts cherry, and three parts grape. Priscilla uses the same measuring cup to measure all of the fruit, so one part is equal to one cup of diced fruit. In this exercise, you will compare the quantities in the recipe to understand ratios better.
Answers
Answer:
There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange 4/11 from the entine quantity of fruits- strawberry
3/11-grapes
2/11- cherries
1/11- apples
1/11- oranges } ⇒ the quantity of oranges and apples are equal Hope it helps ;>
A stunt motorcyclist makes a jump from one ramp 20 feet off the ground to another ramp 20 feet off the ground. The jump between the ramps can be modeled by y=-1/640 x to the power of 2 + 1/4 x + 20 where x is the horizontal distance (in feet) and y is the height above the ground (in feet).A) what is the motorcycle's height r when it lands on the ramp?B) what is the distance d between the ramps?C) what is the horizontal distance h the motorcycle has traveled when it reaches its maximum height?D) what is the motorcycle's maximum height k above the ground?
Answers
A) 20 ft B) 80 ft C) 40 ft D) 24 ft. The equation y=-1/640 x2 + 1/4 x + 20 can be used to calculate the height, distance, maximum height, and horizontal distance of the stunt motorcyclist's jump.
A) The motorcycle's height when it lands on the ramp is 20 feet. This can be calculated by plugging 0 in for x in the equation y=-1/640 x2 + 1/4 x + 20. When you plug in 0 for x, you get y=-1/640 (0)2 + 1/4 (0) + 20, which simplifies to y=20. This means that when the motorcycle lands on the ramp, it is 20 feet off the ground.
B) The distance between the ramps is 80 feet. This can be calculated by finding the value of x when y=20. Solve the equation y=-1/640 x2 + 1/4 x + 20 for x when y=20. When you solve this equation, you get x=80. This means that the distance between the ramps is 80 feet.
C) The horizontal distance the motorcycle has traveled when it reaches its maximum height is 40 feet. This can be calculated by finding the value of x when y=24. Solve the equation y=-1/640 x2 + 1/4 x + 20 for x when y=24. When you solve this equation, you get x=40. This means that the horizontal distance the motorcycle has traveled when it reaches its maximum height is 40 feet.
D) The motorcycle's maximum height above the ground is 24 feet. This can be calculated by finding the maximum value of y in the equation y=-1/640 x2 + 1/4 x + 20. When you calculate the maximum value of y, you get y=24. This means that the motorcycle's maximum height above the ground is 24 feet.
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2) The mean mathematics SAT score in 2012 was 514 with a standard deviation of 117 ("Total group profile," 2012). Assume the mathematics SAT score is normally distributed. a. State the random variable. b. Find the probability that a person has a mathematics SAT score over 700. c. Find the probability that a person has a mathematics SAT score of less than 400. d. Find the probability that a person has a mathematics SAT score between a 500 and a 650. e. Find the mathematics SAT score that represents the top 1% of all scores.
Answers
The mathematics SAT score representing the top 1% of all scores is approximately 780.
a. The random variable in this case is the mathematics SAT score.
b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.
The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
In this case, X = 700, μ = 514, σ = 117.
Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).
To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.
The probability is approximately 0.0564 or 5.64%.
c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.
X = 400, μ = 514, and σ = 117.
The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).
Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.
d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.
Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),
and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).
We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.
Let's assume the probability is approximately 0.3967 or 39.67%.
e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.
This z-score is approximately 2.33.
We can then use the z-score formula to calculate the corresponding SAT score.
Rearranging the formula,
\(X = (z \times \sigma ) + \mu\),
where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.
Substituting the values,
\(X = (2.33 \times 117) + 514 = 779.61\).
Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.
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Match the phrase with the solution it would give.
Two parallel lines are graphed.
Two perpendicular lines are graphed.
Two lines that are the same line are graphed.
Answers
Two perpendicular line graphed would produce 1 solution.
Two lines graphed as the same line would produce infinite solutions.