Answer:
B) symmetric
Step-by-step explanation:
We will find the sample space for rolling two dices first
Here first value in ordered pair represents yellow die and second represents blue die
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
The subtraction gives us:
0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0
So the distribution will be as follows:
X 5 4 3 2 1 0 -1 -2 -3 -4 -5
P(X) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
By observing the probabilities, we can conclude that the distribution will be symmetric
Hence, Option B is correct ..
Answer:
its B symmetric
Step-by-step explanation:
got it right on ed
the area of this circle is 84π m^2 what is the area of a 30 sector of this circle?
ANSWER
[tex]7 {m}^{2} [/tex]
EXPLANATION
If the area of the circle is 84π m² , then the area of a 30° sector is just a proportion of the full circle.
The area of the 30° sector is
[tex] \frac{30}{360} \times 84\pi \: {m}^{2} [/tex]
[tex] = \frac{1}{12} \times 84 {m}^{2} [/tex]
[tex] = 7 {m}^{2} [/tex]
Hence the area of the 30° sector of this circle is
[tex]7 {m}^{2} [/tex]
A bullet is fired straight up from a BB gun with initial velocity 1,120 feet per second at an initial height of 8 feet. Use the formula h=−16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. That is, when will h=0
Answer:
Bullet will hit the ground after 70 seconds.
Step-by-step explanation:
A bullet is fired straight up from a BB gun with initial velocity 1120 ft/s at an initial height of 8 ft. Using the value of velocity the equation becomes:
h(t)= -16t² + 1120t + 8
We need to find time when bullet hit the ground.
As we know when bullet hit the ground height would be 0
So, we set h=0 and solve for t .
0 = -16t² + 1120t + 8
Using quadratic formula:
[tex]t= \frac{-1120 \pm \sqrt{(1120)^{2}-4(-16)(8)} }{2(-16)}\\\\ t=70.007 , -0.007[/tex]
Since negative value of the time is not possible, we conclude that the bullet will hit the ground after 70 seconds.
Answer:
t≈70 seconds
Step-by-step explanation:
h=−16t2+v0t+8
We know the velocity, v0, is 1,120 feet per second.
The height is 0 feet. Substitute the values.
0=−16t^2+1,120t+8
Identify the values of a, b, and c.
a=−16,b=1,120,c=8
Then, substitute in the values of a, b, and c.
t=−(1,120)± √(1,120)2−4⋅−16⋅(8
2 ⋅ −16
Simplify.
t=−1,120± √1,254,400+512
- 32
t= −1,120± √1,254,912
-32
Rewrite to show two solutions.
t= −1,120+ √ 1,254,912 . t= −1,120+ √ 1,254,912
-32 - 32
t≈70 seconds,t≈−0.007 seconds
Which could be the function?
The graph shows the axis of symmetry for a quadratic
function f(x)
Of(x) = (x + 4)
O f(x) = x2 + 4
O f(x) = (x -
Of(x) = x2 +4
Answer:
[tex]f(x)=(x-4)^{2}[/tex]
Step-by-step explanation:
we have that
The axis of symmetry shown in the graph is x=4
we know that
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
Verify each case
case a) we have
[tex]f(x)=(x+4)^{2}[/tex]
The vertex is the point (-4,0)
therefore
Cannot be the function
case b) we have
[tex]f(x)=x^{2}+4[/tex]
The vertex is the point (0,4)
The axis of symmetry is x=0
therefore
Cannot be the function
case c) we have
[tex]f(x)=(x-4)^{2}[/tex]
The vertex is the point (4,0)
The axis of symmetry is x=4
therefore
Could be the function
case d) we have
[tex]f(x)=x^{2}-4[/tex]
The vertex is the point (0,-4)
The axis of symmetry is x=0
therefore
Cannot be the function
Which combination of integers can be used to generate the Pythagorean triple (5,12,13)
Answer:
x=3 and y=2
Step-by-step explanation:
The pythagorean triples are generated by two integrers x and y that can be found by solving the following system of equations:
[tex]\left \{ {{x^{2}-y^{2}=5}\atop {2xy=12}} \atop {x^{2}+y^{2}=13}}\right.[/tex]
Solve the system of equations, and we get that the solution is x=3 and y=2.
Therefore, the combination of integrers that ca be used to generate the pythagorea triple are: x=3 and y=2
Answer:
[tex]x=3[/tex] and [tex]y=2[/tex]
Step-by-step explanation:
The Pythagorean triples can be generated by two values x, y, and a given system of equations:
[tex]x^{2}-y^{2}=5\\2xy=12\\x^{2}+y^{2}=13[/tex]
You can see that each coordinate of the triple is included in each equation.
Remember that Pythagorean triples refers to the values of each side of a right triangle, where is used the Pythagorean Theorem. But, at a higher level, to construct this triples we use the system of equations, with two integers x and y., like this case.
Now we solve the system, the best first step is to just sum the first and third equations, because they have like terms:
[tex]2x^{2}=18\\x^{2}=\frac{18}{2}=9\\x=3[/tex]
Now, we just replace it in the second equation:
[tex]2xy=12\\y=\frac{12}{2x}=\frac{6}{3}=2[/tex]
Therefore the integers that generate the Pythagorean triple [tex](5,12,13)[/tex] are [tex]x=3[/tex] and [tex]y=2[/tex]
a rectangle rug has a perimeter of 146 ft the width of the rug is 5 feet more than three times the length find the length and the width
Answer:
The length = 56 feet and the width = 17 feet.
Step-by-step explanation:
We can set up 2 equations to solve this. Let the length of the rug be x, then
x = 3w + 5 where w = the width. ( looks like you got the width and the length mixed up. The length is the longest side)
The perimeter = 2x + 2w = 146 so we have the 2 equations:
x = 3w + 5
2x + 2w = 146
Now we substitute for x in the second equation:
2(3w + 5) + 2w = 146
6w + 10 + 2w = 146
8w = 136
w = 17 feet,
and x = 3(17) + 5 = 56 feet.
Answer:
Length is 17 feet and Width is 56 feet.
Step-by-step explanation:
P=2L+2W
146=2L+2(3L+5)
146=2L+6L+10
146=8L+10L
146-10=8L+10-10
136=8L
136\8=8\8
17=L
W=3L+5
=3(17)+5
=56
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
Answer: y=2
Step-by-step explanation:
Distribute the numbers -2 and 3...
6y-2y-2=3y-6+6
The -6 and 6 cancel each other out...
6y-2y-2=3y
Combine like terms....
4y-2=3y
Move 4y over....
-2=-y
Multiply both sides by -1.....
2=y
That’s your solution! Hope this helps!
scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100% of people who write this exam obtain scores between 425 and 575
We have
[tex] \mu = 500[/tex]
[tex] \sigma = 100 [/tex]
425 corresponds to a z of
[tex]z_1 = \dfrac{425 - 500}{100} = -\dfrac 3 4[/tex]
575 corresponds to
[tex]z_2 = \dfrac{575 - 500}{100} = \dfrac 3 4[/tex]
So we want the area of the standard Gaussian between -3/4 and 3/4.
We look up z in the standard normal table, the one that starts with 0 at z=0 and increases. That's the integral from 0 to z of the standard Gaussian.
For z=0.75 we get p=0.2734. So the probability, which is the integral from -3/4 to 3/4, is double that, 0.5468.
Answer: 55%
APY means ________________.
Answer:
annual percentage yield
Step-by-step explanation:
APY means annual percentage yield
Solve the equation.
1-3x + 1 + 10x = y + 4
x= y/7 + 2/7
I think thats right
Given cosθ=3√3 and sinθ<0 . What is the value of sinθ ?
The cosine value provided is incorrect as it exceeds the maximum cosine function value. However, with a valid cosine value and the condition that sinθ < 0, the sine value can be found using the Pythagorean identity. The negative square root is taken due to sinθ being less than zero.
Explanation:The given condition is cosθ = 3√3 with the additional information that sinθ < 0. However, the cosine value seems incorrect as the maximum value for the cosine function is 1, therefore cosθ = 3√3 cannot be true. Assuming there is a typo and considering the correct range for cosine, the answer can be derived using the Pythagorean identity:
cos2θ + sin2θ = 1.
Since sinθ < 0, it indicates that the angle θ is in either the third or fourth quadrant. In both quadrants, cosine values can still be positive. After getting the correct cosine value within the range of -1 to 1, you would find sinθ by rearranging the Pythagorean identity:
sin2θ = 1 - cos2θ.
Then, take the square root and apply the negative sign since sinθ < 0.
Name the most appropriate metric unit for each measurement like the mass of cow
Answer:
Kilograms
Step-by-step explanation:
Factor the polynomial: -2x3 - 4x2 - 6x
The polynomial -2x³ - 4x² - 6x is factored by first factoring out the common term -2x, resulting in -2x(x² + 2x + 3). The quadratic x² + 2x + 3 cannot be further factored over the real numbers, giving the final factored form of -2x(x² + 2x + 3).
To factor the polynomial -2x³ - 4x² - 6x, we first look for any common factors in each term of the polynomial. In this case, we can see that each term includes a factor of -2x. Factoring this out, we get:
-2x(x² + 2x + 3)
However, the quadratic x² + 2x + 3 cannot be factored further over the real numbers because it does not have real roots (its discriminant 22 - 4(1)(3) = 4 - 12 = -8 is negative). Therefore, the fully factored form of the polynomial over the real numbers is:
-2x(x² + 2x + 3)
I don’t get this can someone help pls
which statement justifies why angle EBC measures 90?
Answer:
The sum of the measures of two complementary angles is 90 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
In this problem we have that
m∠ABD and m∠DBC are complementary
so
m∠ABD + m∠DBC=90° -----> by complementary angles
and
(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair
Find the measure of angle EBC
substitute the given values
(90°)+m∠EBC=180°
∠EBC=180°-90°=90°
Answer:
Statements B and A
Step-by-step explanation:
GIven are some statements and we have to identify the one which justifies the measure of angle EBC as 90 degrees.
We have to use two statements here for the complete proof
B) SInce given that angles ABD and DBC are complementary we have sum of these angles = angle ABC = 90 degrees
A)since linear pair form supplementary angles and since one pair ABC =90 other pair EBC has to be 90 degrees.
Sherri rolls a dice, numbered 1 to 6, 64 times. How many times can she expect to roll an odd number?
Answer:
32
Step-by-step explanation:
Possible outcomes in a fair sided die 1,2,3,4,5,6 = 6 possible outcomes
Odd numbers = 1,3,5 = 3 odd numbers
Probability of rolling an odd number = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Total number of rolls = 64
expected number of odd number rolls in 64 roll,
= [tex]\frac{1}{2}[/tex] x 64 = 32
28 POINT QUESTION!!
will give you brainliest for right answer!!
For the inverse variation equation p= 8/v what is the value of V when p = 4?
I’ve seen a lot of answers between C & D & I need to know asap!!!
Answer:
C
Step-by-step explanation:
[tex]p = \frac{8}{v} [/tex]
when we plug in 4 for P
we want to multiply V to (8/V) and 4 to get rid of the fraction
then we get
[tex]4v = 8[/tex]
we want V by itself so we defide 8 by 4.
8/4 should be simplified.
so we end up with 2.
Some months have 30 days, some months have 31 days; how many have 28?
All of the months have 28 days. Although some may have more then 28 days they always have AT LEAST 28 days
Hope this helped!
~Just a girl in love with Shawn Mendes
Typically a point in a three dimensional Cartesian coordinate system is represented by which of the following
Answers in the picture !
Answer: B (x, y, z)
Step-by-step explanation:
In a two-dimensional plane, a coordinate is represented as (x, y).
In a three-dimensional plane, a coordinate is represented the same as the two-dimensional plane, except we need to add the third coordinate (z).
--> (x, y, z)
Answer:
B. (x,y,z).
Step-by-step explanation:
We represent the coordinate of a point in one dimension as x on the line. We represent the coordinate of a point in two dimension (plane) as (x,y). Similarly we represent the coordinate of a point which lie in the space (three dimension) as (x,y,z) .Here x is the x-coordinate of the point,
y is the y-coordinate of the point,
and z is the z-coordinate of the point. Hence (x,y,z) represent a point a point in a three dimensional Cartesian System.
20 POINTS! EMERGENCY!
Hello There!
The answer is that the Y intercept is 4.
The y intercept is where the graph crosses the y axis. It goes vertical
Answer: the y intercept is 4.
Step-by-step explanation:
In the graph, if the savings account would’ve started with $8, the y intercept would be 8.
We don’t know what the graph is talking about so it’s not the last option.
The line crossed the x intercept at 8 so it’s not B.
Which of the following is an arithmetic sequence?
A. 1,2,4,8,16,32,...
B. 100,50,25,12.5,...
C. 1,3,5,7,9 ,11,...
D. 1,2,4,7,11,...
help me..it has to be rounded to the tenths
Answer:
10.2 cm²
Step-by-step explanation:
The area (A) of a regular hexagon is
A = [tex]\frac{1}{2}[/tex] × perimeter × apothem
Perimeter = 6 × 2 = 12 cm ( hexagon has 6 sides ), hence
A = 0.5 × 12 × 1.7 = 6 × 1.7 = 10.2 cm²
Answer:
10.2cm^2
Step-by-step explanation:
If a(x)=3x+1 and b(x)=square root x-4, what is the domain of (b o a)(x)?
answers choices are:
-infinity, infinity
0, infinity
1, infinity
4, infinity
ANSWER
[tex][1, \infty ][/tex]
EXPLANATION
The given functions are:
[tex]a(x) = 3x + 1[/tex]
[tex]b(x) = \sqrt{x - 4} [/tex]
We want to find the domain of the composite function;
[tex](b \circ \: a)(x) = b(a(x))[/tex]
[tex](b \circ \: a)(x) = b(3x + 1)[/tex]
[tex](b \circ \: a)(x) = \sqrt{3x + 1 - 4} [/tex]
This simplifies to,
[tex](b \circ \: a)(x) = \sqrt{3x - 3} [/tex]
This function is defined for
[tex]3x - 3 \geqslant 0[/tex]
[tex]3x \geqslant 3[/tex]
[tex]x \geqslant 1[/tex]
This can be rewritten as,
[tex][1, \infty ][/tex]
Can someone pleaseeee hellpp??
Answer:
5.8
Step-by-step explanation:
To get the mean, add up all the numbers
9+4+8+3+5 = 29
Then divide by how many numbers there are (5)
29/5 =5.8
The mean is 5.8
Solve.
−12x+13>35
Drag and drop a number or symbol into each box to show the solution.
Answer:
x< -1.8
Step-by-step explanation:
-12x+13>35
We leave the variable alone passing the 13 with opposite sign to the other side and subtracting it from 35.
-12x>22
We divide both by the variable, -12x, and it gives x > -1.8. Since the sign of x changed, we flip the sign and the final result is x < -1.8
ANSWER
[tex]x \: < \: - 1\frac{ 5}{ 6} [/tex]
EXPLANATION
The given inequality is
[tex] - 12x + 13 \: > \: 35[/tex]
Add -13 to both sides to obtain;
[tex]- 12x + 13 - 13 \: > \: 35 - 13[/tex]
Simplify to obtain:
[tex]- 12x + 0 \: > \:22[/tex]
[tex]- 12x \: > \: 22[/tex]
Divide both sides by -12 and reverse the inequality sign.
[tex] \frac{ - 12x}{ - 12} \: < \: \frac{ 22}{ - 12} [/tex]
[tex]x \: < \: \frac{ 22}{ - 12} [/tex]
This simplifies to
[tex]x \: < \: - \frac{ 11}{ 6} [/tex]
We rewrite as mixed number
[tex]x \: < \: - 1\frac{ 5}{ 6} [/tex]
Please help. Choose the equation that represents the graph below:
to get the equation of a straight line, all we need is two points on it... say hmmm this one has (0 , 6) and (6 , 2), so let's use those.
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-6}{6-0}\implies \cfrac{-4}{6}\implies -\cfrac{2}{3} \\\\\\ \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-6=-\cfrac{2}{3}(x-0) \\\\\\ y-6=-\cfrac{2}{3}x\implies y=-\cfrac{2}{3}x+6[/tex]
How to solve?
Inx - In 1/x = 2
Answer:
x = eStep-by-step explanation:
[tex]\text{The domain:}\\\\D:x>0\\\\\ln x-\ln\dfrac{1}{x}=2\qquad\text{use}\ \log_ab-\log_ac=\log_a\left(\dfrac{b}{c}\right)\\\\\ln\dfrac{x}{\frac{1}{x}}=2\\\\\ln x^2=2\qquad\text{use}\ \log_ab=c\iff a^c=b\ \text{and}\ \ln x=\log_ex\\\\x^2=e^2\iff x=e\in D[/tex]
To solve the given equation Inx - ln(1/x) = 2, combine the logarithms, simplify, and solve for x to find that x = e.
To solve the equation Inx - ln(1/x) = 2:
Rewrite ln(1/x) as -ln(x): Inx + ln(x) = 2
Combine the logarithms: ln(x²) = 2
Solve for x: x² = e², x = e
Given: x
- 4x > 0, then the solution set in interval notation is: (-2, 0)
True
O
False
Answer:
Second option: False.
Step-by-step explanation:
Given the inequality [tex]- 4x > 0[/tex], you need to solve for the variable "x".
To solve for the variable "x" you can divide both sides of the inequality by -4 (Notice that the direction of the symbol of the inequality changes), then:
[tex]- 4x > 0\\\\\frac{- 4x}{-4} > \frac{0}{-4}\\\\x<0[/tex]
Therefore, the solution set in interval notation is:
[tex](-\infty,0)[/tex]
Then the answer is: False.
Use the points (1,-3) and (5,9) to determine the slope between the two points using the slope formula
[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-3)}{5-1}\implies \cfrac{9+3}{4}\implies \cfrac{12}{4}\implies 3[/tex]
Simplify 3(x + 2) + 4(x - 5)
A. 7x - 3
B.7x - 14
C.7x + 26
Answer:
7x - 14
Step-by-step explanation:
3(x + 2) + 4(x - 5)
3x + 6 + 4x - 20
7x - 14
For this case we must simplify the following expression:
[tex]3 (x + 2) +4 (x-5)[/tex]
Applying distributive property to the terms within the parenthesis we have:
[tex]3x + 6 + 4x-20 =[/tex]
Adding similar terms:
[tex]3x + 4x + 6-20 =[/tex]
Finally we have that the expression is reduced to:
[tex]7x-14[/tex]
Answer:
[tex]7x-14[/tex]
Find the value of x
x=degrees