Answer:
Mean = 2.14
Standard deviation = 2.40
Step-by-step explanation:
The calculation of mean and standard deviation is shown below:-
[tex]X = .07\times0 + 0.20\times 1 + 0.38\times 2 + 0.22\times 3 + 0.13\times 4\\\\ = 0 + 0.2 + 0.76 + 0.66 + 0.52[/tex]
= 2.14
So, the mean is 2.14
Now, For computing the standard deviation first we need to find out the variance which is shown below:-
Variance is
[tex]Var(X) = P(X^2) - [P(X)]^2\\\\ P(X^2) = .07\times (0^2) + .20\times (0^1) + .38\times (0^2) + .22\times (0^3) +0.13\times (0^4)[/tex]
After solving the above equation we will get
= 5.78
Now, the standard deviation is [tex]= \sqrt{Variance}[/tex]
[tex]= \sqrt{5.78}[/tex]
= 2.404163056
or
= 2.40
Which equation is represented by the intersection of the graphs below? a. cosx=-1 b.secx=-1 c. cscx=-1 d.tanx=-1
Answer:
Option D.
Step-by-step explanation:
From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.
The curves represent the graph of [tex]y=\tan x[/tex].
We need to find the equation which is represented by the intersection of the graphs.
We have two equations one is for curve and another for horizontal line.
[tex]y=\tan x[/tex]
[tex]y=-1[/tex]
Equate both equations to get the equation which is represented by the intersection of the graphs.
[tex]\tan x =-1[/tex]
Therefore, the correct option is D.
A bowl contains pecans, cashews, and almonds in a ratio of 6 : 10 : 15, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl?
i. 1 : 2 : 3
ii. 2 : 3 : 4
iii. 4 : 7 : 10
A. I only
B. II only
C. III only
D. I and III only
E. II and III only
Answer:
iii
Step-by-step explanation:
because of the amount taken from the cashews.and nuts and 1 of 3 were taken away
which platonic solid has eight faces that are equilateral triangles? A, dodecahedron, B, octahedro, C, tetrahedron, D, icosahedron
Answer:
Octahedron Answer B) in your list
Step-by-step explanation:
The octahedron is the three dimensional figure that contains 8 equilateral triangles as its faces. It looks like 2 pyramids with square base and lateral equilateral triangles joined by their square bases
Answer:
C
Step-by-step explanation:
apeeeex
Find the midline for f(x)=2cos(3x−5π6)−2
Answer: y = -2
Step-by-step explanation:
f(x) = A cos (Bx - C) + D
↓
center line (aka midline)
f(x) = 2 cos (3x - 5π/6) - 2
↓
midline = -2
The midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D
What is cos function?It is defined as a function that is sin-cos wave in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.
It is given that the cos function is:
f(x) = 2cos(3x - 5π/6) - 2
As we know, the standard form of the cos function is:
f(x) = Acos(Bx - C) + D
Here, A is the amplitude
B is the period of the cos function
C is the phase shift of the cos function
D is the vertical shift of the cos function/midline
On comparing:
D = -2
The midline:
y = -2
Thus, the midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D
Learn more about the cos function here:
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Which relation is a function?
The relation { (3,4), (-3, 8), (6,8) } is a function.
====================================================
Explanation:
Choice A can be ruled out because we have x = -3 repeat itself for different y values. For any x input, there must be exactly one y output. This is assuming the x value is in the domain of course.
Choice C can be ruled out for similar reasoning. This time x = 3 repeats.
Choice D is the same story, but we go back to x = -3 showing up twice.
Choice B is the only thing left. Each x value is unique or only written one time. This graph passes the vertical line test. The other graphs fail the vertical line test (it is possible to draw a vertical line through more than one point).
If f(x) = 2x2 - 5 and g(x) = x2 - 4x - 8, find (f - g)(x).
O A. (f- g)(x) = x2 - 4x - 3
O B. (f- g)(x) = x2 + 4x + 3
O C. (f- g)(x) = 3x2 - 4x - 13
O D. (f - g)(x) = -x2 - 13
The value of (f - g)(x) is x² + 4x + 3 if f(x) = 2x² - 5 and g(x) = x² - 4x - 8 option (B) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 2x² - 5
g(x) = x² - 4x - 8
(f - g)(x) = f(x) - g(x)
= (2x² - 5) - (x² - 4x - 8)
= 2x² - 5 - x² + 4x + 8
= x² + 4x + 3
(f - g)(x) = x² + 4x + 3
Thus, the value of (f - g)(x) is x² + 4x + 3 if f(x) = 2x² - 5 and g(x) = x² - 4x - 8 option (B) is correct.
Learn more about the function here:
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Solve and CHECK the following: 2(a−3)/3=4
Answer:
2(a - 3). = 4
_______
3
Cross multiply.
2(a- 3) = 12
2a - 6 = 12
2a = 12 + 6
2a = 18
a = 18 ÷ 2
a = 9
Answer:
a = 9
Step-by-step explanation:
Given
[tex]\frac{2(a-3)}{3}[/tex] = 4 ( multiply both sides by 3 to clear the fraction
2(a - 3) = 12 ( divide both sides by 2 )
a - 3 = 6 ( add 3 to both sides )
a = 9
As a check substitute a = 9 into the left side of the equation and if equal to the right side then it is the solution.
[tex]\frac{2(9-3)}{3}[/tex] = [tex]\frac{2(6)}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4 = right side
Thus solution is a = 9
Please help me, I'm so confused
Answer:
C
Step-by-step explanation:
x+4> 8
Subtract 4 from each side
x+4-4>8-4
x > 4
Open circle at 4, line going to the right
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]Solved - x > 4\\Graphed - C[/tex]
▹ Step-by-Step Explanation
x + 4 > 8
x > 8 -4
x > 4
When graphing inequalities, you have less than, greater than, less than or equal to, and greater than or equal too. When graphing an inequality with less than or greater than, you use an open circle. When graphing an inequality with less than or equal too or greater than or equal too, you used a closed circle.
Since the numbers are positive, we are going to move up the number line therefore leaving us with the answer of C.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Ami buys x apples and y bananas. The apples cost 15p each and the bananas cost 20p each. The total cost of Ami's apples and bananas is £1.80. a Write an equation for the total cost of Ami's apples and bananas.
Answer:
0.15x + 0.20y = 1.80
Step-by-step explanation:
Here, we are interested in writing an equation for the total cost of the apples and bananas
before we write , kindly understand that 100p = £1
So the cost of apple which is 15p will be 15/100 =£ 0.15
The cost of bananas which is 20p will be 20/100 = £0.2
Thus, the total cost of the apples bought will be number of apples bought * price of apple bought = 0.15 * x = £0.15x
The cost of bananas = number of bananas bought * price of bananas = 0.2 * y = £0.2y
So the total cost of the apples and bananas will be;
0.15x + 0.20y = 1.80
Given the coordinate points of the preimage, use the transformation given to provide the points of the image. E(−5,−1) D(−5,1) C(−1,0) B(−2,−3) Rotation: 180∘ about the origin
Answer:
The points of the image are;
E'(5, 1), D'(5, -1), C'(1, 0), E'(-2, -3)
Step-by-step explanation:
The coordinates of the preimage are E(-5, -1) D(-5, 1) C(-1, 0) B(-2, -3)
Rotation of a point 180° about the origin gives;
Coordinates of the point of the preimage before rotation = (x, y)
The coordinates of the image after rotation = (-x, -y)
Therefore, the coordinates of the points EDCB after 180° rotation about the origin are;
E(-5, -1) rotated 180° becomes E'(5, 1)
D(-5, 1) rotated 180° becomes D'(5, -1)
C(-1, 0) rotated 180° becomes C'(1, 0)
B(-2, -3) rotated 180° becomes E'(-2, -3).
Determine the parent function.
Answer:
y= [tex]\sqrt{x}[/tex]
Step-by-step explanation:
combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
what is the expression in radical form (2m^2n)^3/2
Answer:
sqrt[(2m^2n)^3]
Step-by-step explanation:
So let's break down the exponent. The top number represents the number of times the term is repeated. The bottom number represents the root to be taken of the final product. With this in mind, let's rewrite this expression.
(2m^2n)^3/2
= [(2m^2n)^3]^1/2
Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).
So now, we'll rewrite this into the radical form.
sqrt[(2m^2n)^3]
I hope this helps.
Cheers.
Is it possible to draw a triangle whose sides are as follows? 6 cm, 7 cm, 17 cm. Give reasons to support your answer.
Answer:
No
Step-by-step explanation:
The sum of two random sides of a triangle must be bigger than the third side and their differences must be smaller than the third side
For example
3 - 4 - 5 can be made into a triangle because 3 + 4 > 5 and 4 - 3 < 5
So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one face of the cube b: use this answer to determine a polynomial that represents the length of an edge of the cube c: what is the length of an edge of the cube when r = 3 cm
Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
Plz help urgently i dont know how to do it
Answer:
11
Step-by-step explanation:
1650/15/10 = 11
Can someone tell me the answer?
Answer:
the first one has one solution because eventually they will cross
What is 1/9 of 63% of 6000?
Answer:
420
Step-by-step explanation:
To find 63% of 6000, we can do 0.63 * 6000 = 3780 because 63% = 0.63.
1/9th of that is 1/9 * 3780 = 420.
Answer:
420
Step-by-step explanation:
Let's first start by finding 63% of 6000 so we can later find 1/9 of that number.
We can set up a percentage proportion.
[tex]\frac{x}{6000} = \frac{63}{100}[/tex]
[tex]6000\cdot63=378000\\378000\div100 = 3780[/tex]
Now to find 1/9 of 3780.
[tex]\frac{1}{9} \cdot \frac{3780}{1}\\\\\frac{3780}{9} = 420[/tex]
So, the answer is 420.
Hope this helped!
Convert 125 degrees into radians. (NEED ASAP)
Answer:
[tex]\boxed{\frac{25\pi }{36}}[/tex]
Step-by-step explanation:
Use the formula to convert from degrees to radians: [tex]x * \frac{\pi }{180}[/tex], where x is the value in degrees.
[tex]125 * \frac{\pi }{180}[/tex] = [tex]\frac{125\pi }{180}[/tex]
Then, simplify your fraction ⇒ [tex]\frac{125\pi }{180} = \boxed{\frac{25\pi}{36} }[/tex]
The first three steps in determining the solution set of the system of equations algebraically are shown.
y = x2 − x − 3
y = −3x + 5
What are the solutions of this system of equations?
(−2, −1) and (4, 17)
(−2, 11) and (4, −7)
(2, −1) and (−4, 17)
(2, 11) and (−4, −7)
Answer:
(2, −1) and (−4, 17)
Step-by-step explanation:
I used a graphing tool to graph the systems of equations. The parabola and line pass at points (2, -1) and (-4, 17).
Answer:(2, −1) and (−4, 17) Its C on Edge 2023
Step-by-step explanation: Its (C) after an extensive research
Factor x2 - 2x + 3
I have no idea and no one else has done it
Answer:
prime
Step-by-step explanation:
x^2 - 2x + 3
What two numbers multiply to 3 and add to -2
There are none so this cannot be factored in the real numbers
¡Ayuda!
1. Método del Triángulo: Una embarcación navega a una distancia de 800 km hacia el Oeste y después avanza 1400 km a 135 °. ¿Cuál es la magnitud, dirección y sentido del desplazamiento resultante? R /. 2,080 km, 155 ° NO.
Answer:
La magnitud del desplazamiento resultante es 2045.463 kilómetros. La dirección absoluta del desplazamiento resultante es 151.055º, el cual corresponde al sentido noroeste.
Step-by-step explanation:
En primer lugar, se construye el triángulo. La figura resultante se encuentra incluida como archivo adjunto. La magnitud del desplazamiento resultante se determina mediante la Ley del Coseno:
[tex]r = \sqrt{(800\,km)^{2}+(1400\,km)^{2}-2\cdot (800\,km)\cdot (1400\,km)\cdot \cos 135^{\circ}}[/tex]
[tex]r \approx 2045.463\,km[/tex]
La magnitud del desplazamiento resultante es 2045.463 kilómetros.
La dirección del desplazamiento resultante es hallada por medio de la Ley del Seno, sabiendo que el ángulo del desplazamiento resultante a la recta de 1400 kilómetros:
[tex]\frac{1400\,km}{\sin \alpha} = \frac{2045.463\,km}{\sin 135^{\circ}}[/tex]
Se despeja el ángulo correspondiente:
[tex]\alpha = \sin^{-1}\left(\frac{1400\,km}{2045.463\,km}\times \sin 135^{\circ} \right)[/tex]
[tex]\alpha \approx 28.945^{\circ}[/tex]
La dirección absoluta del desplazamiento resultante es:
[tex]\alpha' = 180^{\circ}-\alpha[/tex]
[tex]\alpha' = 180^{\circ}-28.945^{\circ}[/tex]
[tex]\alpha' = 151.055^{\circ}[/tex]
La dirección absoluta del desplazamiento resultante es 151.055º, el cual corresponde al sentido noroeste.
Complete the solution of the equation. Find the
value of y when x equals 13.
-3x – 2y = -25
Enter the correct answer.
Answer:
y = -7
Step-by-step explanation:
-3x – 2y = -25
Let x = 13
-3 * 13 -2y = -25
-39 -2y = -25
Add 39 to each side
-39+39 -2y = -25+39
-2y =14
Divide by -2
-2y/-2 = 14/-2
y = -7
Answer:
y = -7
Step-by-step explanation:
-3x - 2y = -25
Plug x as 13.
-3(13) - 2y = -25
-39 - 2y = -25
Add 39 on both sides,
- 2y = 14
Divide both sides by -2.
y = -7
Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor trails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines.
Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13.
Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options.
Answer:
a, c. d
Step-by-step explanation:
Answer:
a c d
Step-by-step explanation:
In the article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970's. To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were
Answer:
Option B.
Step-by-step explanation:
According to the question, the data provided is as follows
[tex]H_o : p_1 - p_2 = 0\ (p_1 = p_2)\\\\ H_\alpha : p_1 - p_2 < 0\ (p_1 < p_2)[/tex]
Based on the above information,
The type ii error is the error in which there is an acceptance of a non rejection with respect to the wrong null hypothesis. The type I error refers to the error in which there is a rejection of a correct null hypothesis and the type II refers that error in which it explains the failure of rejection with respect to null hypothesis that in real also it is wrong
So , the type II error is option B as we dont create any difference also the proportion is very less
A large rectangle has side lengths of 8 meters and 6 meters. A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. What is the area of the remaining part of the large rectangle?
Answer: 16m²
Step-by-step explanation:
A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:
= 8m × 6m
= 48m²
A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:
= 4m × 2m
= 8m²
Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.
Area of the remaining part of the large rectangle will be:
= 4m × 4m
= 16m²
Factorise (7x+19)/(x+1)(x+5)
Answer:
[tex] \frac{7x + 19}{ {x}^{2} + 6x + 5 } [/tex]Step-by-step explanation:
[tex] \frac{7x + 19}{(x + 1)(x + 5)} [/tex]
Multiply each term in the first parentheses by each term in second parentheses ( FOIL)
[tex] \frac{7x + 19}{x(x + 5) + 1(x + 5)} [/tex]
Calculate the product
[tex] \frac{7x + 19}{ {x}^{2} + 5x + x + 5} [/tex]
Collect like terms
[tex] \frac{7x + 9}{ {x}^{2} + 6x + 5 } [/tex]
Hope this helps...
Best regards!!
The Free Food Club holds weekly meetings. In chronological order, they've ordered 12, 9, 11, 10, 13, 8, 7, and 13 pizzas over the last two months. What is the median number of pizzas that they ordered?
NEED ASAP
Answer:
10.375
Step-by-step explanation:
1.) Add up all the amount of pizzas | 12 + 9 + 11 +10+13+8+ 7,+ 13=83
2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =
10.375
Consider this system of equations. Which equation represents the first equation written in slope-intercept form? 5 x minus 2 y = 10. Y = one-fourth x + 1.
Answer:
[tex]y = \frac{5x}{2} - 5[/tex]
Step-by-step explanation:
Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.
From the equation given 5x - 2y = 10, we will make y the subject of the formula as shown;
[tex]5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\ \\[/tex]
[tex]y = \frac{10}{-2} - \frac{5x}{-2} \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5[/tex]
Hence the equation that represents the first equation written in slope-intercept form is [tex]y = \frac{5x}{2} - 5[/tex]
The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 30 months have elapsed
Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454