Step-by-step explanation:
You have to remember that
cos^2 + sin^2 = 1
then
sin^2 = 1- cos^2
sin^2 = 1 - (8/17)^2
sin^2 = 225/289
sin = + 15/17 ( we are told that it is positive in the question)
tan = sin / cos = (15/17) / ( -8/17) = - 15/8 or - 1 7/8
Which statements about rhombi are true ?
Answer:
rhombuses are square.
rhombuses do have 4 congruent sides.
rhombuses have 4 congruent angles.
rhombuses are parallelograms.
Step-by-step explanation:
A researcher believes the number of words typed per minute depends on the type of keyboard one is using. He conducts an experiment using two keyboard designs to determine whether the type of keyboard has an effect on number of words typed per minute. He predicts there will be a significant difference between the two keyboards. The research hypothesis is The same as the null hypothesis. A directional hypothesis. A non-directional hypothesis None of the above.
Based on the illustration, The research hypothesis is directional hypothesis.
So, the correct answer is B
This prediction indicates a research hypothesis that is directional, as it suggests an expected outcome based on the type of keyboard used.
A directional hypothesis anticipates the direction of the effect, whereas a non-directional hypothesis simply predicts a difference without specifying the direction.
The null hypothesis, on the other hand, assumes no significant difference between the keyboards.
Therefore, in this case, the research hypothesis is a directional hypothesis
Hence the answer of the question is B.
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Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answer:
\(\bold{m=-\dfrac23}\)
Step-by-step explanation:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23\)
Both the z and t distributions have the following properties: Multiple select question. bimodal skewed symmetric around 0 with asymptotic tails bell-shaped
False.
The statement is incorrect because neither the z nor the t distribution is necessarily skewed symmetric. While they are both bell-shaped and have asymptotic tails, the shape of the distribution depends on the degrees of freedom for the t distribution and the mean and standard deviation for the z distribution.
The z and t distributions share several properties, which include:
1. Skewed: Both distributions are not skewed, as they are symmetric around 0.
2. Symmetric around 0: Both the z (standard normal) and t distributions are symmetric around 0, which means that they have equal probability on both sides of 0.
3. Asymptotic tails: Both distributions have asymptotic tails, which means that the tails of the distributions approach but never touch the horizontal axis.
4. Bell-shaped: Both the z and t distributions are bell-shaped, with a peak at the center (0) and tails extending to the left and right.
So, the correct properties for both z and t distributions are: symmetric around 0, asymptotic tails, and bell-shaped.
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16. find the mean and the variance of the finite population that consists of the 10 numbers 15, 13, 18, 10, 6, 21, 7, 11, 20, and 9.
Mean = 13
Variance = 36.2
Write the log equation as an exponential equation. You do not need to solve for x. log, (2x - 7) = 22.3
Answer:
Step-by-step explanation:
2x-7 = 10^(22.3)
which number is between 3.4 3.5
Answer:
There isn't any number between 3.4 & 3.5
Please help!!! WILL GIVE BRAINLIEST
The removable discontinuity of the function is x-2/(x-2)(x+4).
Given, we have the following functions:
a. x-2/(x-2)(x+4)
separate the terms:
= x-2/x-2 × 1/x+4
cancel the like terms:
= 1 × 1/x+4
hence x-2/(x-2)(x+4) has a removable discontinuity.
A point on the graph that is undefinable or does not fit the remainder of the graph is referred to as a removable discontinuity. A detachable discontinuity can be generated in one of two ways. The function can be defined to have a blip, or it can have a common factor in both the numerator and the denominator.
When the two-sided limit at c exists but isn't equal to f(c), the discontinuity at c is referred to as detachable.
Hence the from the given functions the function which have a removable discontinuity is x-2/(x-2)(x+4)
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4 1/3 divided by 3 2/3 simplified and write it as a mixed number need help please
Which of the following are exterior angles? Check all that apply
Answer:
Options A, E
Step-by-step explanation:
If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;
\(< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle\)
Refer to Solution below;
A. Check!
E. Check!
3.x2 + 42x = -24
Solve the equation by completing the square
Answer:Exact Form: x = ± √ 41 − 7
Decimal Form:
x = − 0.59687576 … , − 13.40312423 …
Step-by-step explanation:Use the formula
in order to create a new term. Solve for x by using this term tocompletethe square.
Exact Form: x = ± √ 41 − 7
Decimal Form:
x = − 0.59687576 … , − 13.40312423 …
Question 10(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x), where f(x) = 2X - 5 and g(x) = f(x + 1).
(g(x)
0
g(x)
0
0
Answer:
Please refer to the attached image for the graph of g(x).
Step-by-step explanation:
First of all, let us find the value of g(x).
Given that:
\(f(x) =2x-5\) and
\(g(x) = f(x+1)\)
To find: The graph of g(x) = ?
Solution:
\(f(x+1)\) means we replace 'x' with 'x+1' and we get g(x).
Let us replace x with x+1 in f(x):
\(f(x+1) = 2(x+1)-5\\\Rightarrow f(x+1) = 2x+2-5\\\Rightarrow f(x+1) = 2x-3\\\therefore g(x) = 2x-3\)
Now let \(y=g(x) =2x-3\)
Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g(x).
Putting x = 0,
\(y=2\times0-3\\\Rightarrow y =-3\)
So, one point is A(0,-3)
Now, let us put y = 0 and find out x.
\(0=2x-3\\\Rightarrow x=\dfrac{3}{2}\)
So, second point is \(B(\frac{3}{2},0)\).
Now, let us plot A and B then extend the line joining AB.
Please refer to the attached image for the graph of function:
g(x) = 2x - 3
A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s
Answer: 7.07 m/s
Step-by-step explanation:
I took the quiz and that was the correct answer 5 is wrong
The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The present speed of the dog is 10 m/s.
Suppose the mass of the dog be m kg.
Since, the kinetic energy of an object is given as K = 1/2mv².
As per the question, the following expression can be written,
Initial energy, K₁ = 1/2m × 10²
= 50m
Final energy, K₂ = K₁/2
= 50m/2
= 25m
Using the expression for kinetic energy,
1/2mv² = 25m
=> v² = 50
=> v = √50
= 7.07
Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.
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twenty-four minus the product of three and two
Question:
twenty-four minus the product of three and two
Answer:
➛24-(2×3)
➛24-6
➛18
∴Hence 18 is the Correct Answer!24-² = -2 × -2 × -2 × -2 × +2
24-³ = Wrong Quiq
4x-y=5 in slope intercept form solve for y
Answer:
\(y=-5+4x\) and the slope intercept is \(y=4x-5\)
Answer:
Use the slope intercept form, y=mx+b to find the slope m and the y intercept b
slope= -4
y intercept= (0,5)
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Which table represents a function? please help I will give brainlist
Answer:
the second table on the bottom
Step-by-step explanation:
To be a function the points have to pass the horizontal line test.
When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.
algebraic expression will translate “the product of t cubed and 18
Answer:
t^3 x 18
Step-by-step explanation:
Product is the result you obtain by multiplying.
Now, You just have to form an expression out of the given words:
t cubed = t^3
the product of t cubed and 18 = t^3 x 18
Hope this helps.
Good Luck
Let
Domain D be the set of all natural numbers
Define a relation: A(x,y) which relates sets of same sizes
A is true if, and only if |x| = |y|
1) R is transitive if and only if:
∀x∀y∀z.R(x, y)
The relation R is not transitive because the statement ∀x∀y∀z.R(x, y) is not sufficient to establish transitivity. Transitivity requires that if R(x, y) and R(y, z) are true, then R(x, z) must also be true for all x, y, and z. However, the given statement only asserts the existence of a relation between x and y, without specifying any relationship between y and z. Therefore, we cannot conclude that R is transitive based on the given condition.
Transitivity is a property of relations that states if there is a relation between two elements and another relation between the second element and a third element, then there must be a relation between the first and third elements. In the case of relation A(x, y) defined in the question, A is true if and only if the sets x and y have the same size (denoted by |x| = |y|).
To check transitivity, we need to examine whether the given condition ∀x∀y∀z.R(x, y) implies transitivity. However, the statement ∀x∀y∀z.R(x, y) simply asserts the existence of a relation between any elements x and y, without specifying any relationship between y and z. In other words, it does not guarantee that if there is a relation between x and y, and a relation between y and z, there will be a relation between x and z.
To illustrate this, consider the following counterexample: Let x = {1, 2}, y = {3, 4}, and z = {5, 6}. Here, |x| = |y| and |y| = |z|, satisfying the condition of relation A. However, there is no relation between x and z since |x| ≠ |z|. Therefore, the given condition does not establish transitivity for relation A.
In conclusion, the relation A(x, y) defined in the question is not transitive based on the given condition. Additional conditions or constraints would be required to ensure transitivity.
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Use the graph above to answer the question. Select all the terms that describe the graph of the function in interval 3 HELPPPPPPPP
Answer:
true false false true true
Which fraction has a value that's equal to ⅞? A. 2½4 B.1⅝ c. 4%4 D. 5⅝
The improper fraction 7/8 has no value in the options given
Conversion of Improper FractionTo do this, we must divide the dividend by the divisor in order to change an improper fraction to a mixed number. After division, the acquired quotient becomes the whole numerals, the remainder becomes the new numerator, and the denominator remains the same, resulting in a mixed number.
To convert 7/8 into decimal number;
7/8 = 0.875
2 1/2 = 2.5
1 5/8 = 1.625
4% = 0.04
5 5/8 = 5.625
In the given options, none of them has a value of 7/8
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Suppose the installation time X (in minutes) required for a certain software package is a continuous random variable with the probability density function $ 4.23 if 0
The probability that the installation time is less than or equal to 30 minutes is: P(X ≤ 30) = 4.23 × 30 = 126.9%
Let's discuss the probability density function (pdf) for the installation time X of a certain software package.
Given that the pdf is f(x) = 4.23 when 0 < x < 1, and f(x) = 0 otherwise, we can find the probability that the installation time is between two specific values, say, a and b.
To find the probability that the installation time X is between a and b (0 ≤ a < b ≤ 1), you need to integrate the pdf f(x) over the interval [a, b].
1. Write down the integral of the pdf f(x) over the interval [a, b]:
P(a < X < b) = ∫[a, b] f(x) dx
2. Since f(x) = 4.23 when 0 < x < 1, substitute this value into the integral:
P(a < X < b) = ∫[a, b] 4.23 dx
3. Integrate the function with respect to x:
P(a < X < b) = [4.23x]_[a, b]
4. Evaluate the integral at the limits a and b:
P(a < X < b) = 4.23b - 4.23a
To find the probability that the installation time is less than or equal to a certain value t, we need to integrate the probability density function from 0 to t:
P(X ≤ t) = ∫[0, t] f(x) dx = ∫[0, t] 4.23 dx = 4.23t
Therefore, the probability that the installation time is less than or equal to 30 minutes is:
P(X ≤ 30) = 4.23 × 30 = 126.9%
Now, you have the probability formula that the installation time X is between a and b. Remember, this formula is only valid for 0 ≤ a < b ≤ 1.
Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function 4x3 if 0 < x < 1 f(x) = {0 otherwise Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)
Complete Question:
Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function4x3 if 0 < x < 1 f(x) = 0 otherwise. Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)
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3 The The curve y=ax² +bac + 5 where a and b are constants has a turning point p (1,3). find the values of a and b and determine whether P is a maximum or a minimum point,
Answer:
a = 2, b = -2
P is at a minimum
Step-by-step explanation:
For any polynomial function, the turning point is either a maximum or a minimum
It can be determined by taking the first derivative of the function and setting it equal to 0 and solving for x and y
In this case we are given the turning point as x=1, y = 3 and we have to calculate a and b in the equation y = ax² + (ab)x + 5
The first derivative of y, y' = 2ax + ab
If we set this equal to 0 we get 2ax + ab = 0 ==> 2ax = -ab ==> b = -2
So the equation is of the form y = ax² -2ax + 5 (subbing for b)
Since we know that at x = 1, y =3 substitute y and x values in the above equation and solve for a
y = 3 = a(1²) - 2a(1) + 5
a - 2a + 5 = 3
-a + 5 = 3
a = 2
So the equation is of the form y = 2x² -4x + 5
If we plot this we will find that P is a minimum point
However, we can always determine mathematically if P is a max or min by taking the second derivative of the original function and noting the sign. If it is positive, the point is a minimum, and if it is negative, the point is a maximum.
Taking derivatives,
y' = 4x - 4
y'' = (4x-4)' = 4
The sign is positive so P is a minimum
Graph attached for reference
If the circumference of a circle is 88 cm find its area
dellana company tested 50 products for 75 hours each. during this time, it experienced four breakdowns. compute the number of failures per hour. what is the mean time between failures?
dellana company tested 50 products for 75 hours each. during this time, it experienced four breakdowns. compute the number of failures per hour, 937.50 hours is the mean time between failures.
What is mean time?The span of time before something occurs or before a given time frame expires. We can utilise the current computers while waiting for the new ones to arrive next week.
Given that,
dellana company tested 50 products
time =75 hours
Thus, total products in hours
= 50 products × 75 hours each
= 3750 product hours
Also said that, 4 breakdowns in 3750 product hours,
so, (4/3750) = 1.067 × 10⁻³ = 0.001067 breakdowns per hour.
Also, an average of 0.001067 breakdowns per hour = λ
therefore, mean time between failures:
= 1/ λ
= 1/0.001067
= 937.50 hours
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Mr. Rose randomly selects names to see who will give the first book report. There are 10 boys and 14 girls in his class. What is the probability that Mr. Rose will select a girl’s name?
Answer:
14/24 or 58%
Step-by-step explanation:
plz help :)
Which of the equations below represents a line perpendicular to the x-axis? A. x=3 B. x=3y C. x=y D. x=-3y
Equation x=3 represents a line perpendicular to the x-axis. Therefore, the correct answer is option A.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
A) x=3
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
The coordinate points are (3, 0) and (3, 1).
B) Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
C) x=y
Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
D) x=-3y
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
y-intercept: (0,0)
The coordinate points are (0, 0) and (-3, 1)
Therefore, option A is the correct answer.
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factorise 80a^3-5ab2
Step-by-step explanation:
Please see difference in both the answers
I am confused what is the question...
that's why....
hope it helps
1249/2/2 CONSTRUCTED RESPONSE 7. The following division is being performed using multiplication by the reciprocal Find the missing numbers 575 금 12 3 12 10 2
A man has a collection of stamps made up of 5 cent stamps and 8 cent stamps. There are three times as many 8 cent stamps as 5 cent stamps. The total value of all the stamps is $3.48. How many of each stamp does he have?
If a man has a collection of stamps made up of 5 cent stamps and 8 cent stamps and there are three times as many 8 cent stamps as 5 cent stamps. The number of each stamp he have is: 5 cent stamp is 12, 8 cent stamp is 36.
How to find the number of each stamp?Let x represent 5 cent = 0.05x + 0.08 = 3.48
Let y represent 8 cent = 3x
Hence,
0.05x + 0.08(3x)= 3.48
0.05x + 0.24x = 3.58
Combine like terms
0.29x = 3.58
Divide both side by 0.29x
x = 3.58/0.29
x =12 (5 cent stamps)
Now let solve for y
y =3x
y =3(12)
y = 36 (8 cent stamps)
Therefore the number of each stamp he have is: 5 cent stamp is 12, 8 cent stamp is 36.
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What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)