Answer: It is C
Step-by-step explanation:
Good luck on your test or homework
Classify the following as either a discrete random variable or a continuous random variable.
The amount of time six randomly selected volleyball players play during a game.
Is it: Discrete or Continuous
Answer: continuous random variable.
Step-by-step explanation:
A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.
A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.
Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.
The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32
Answer:
x>3
Step-by-step explanation:
3x+2>x+8
-2 -2
3x>x+6
-x -x
2x>6
/2 /2
x>3
The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.
When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that inequality is 3x+2>x+8. The inequality will be solved as below,
3x+2>x+8
3x>x+6
2x>6
x>3
Hence, the solution is x>3.
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find the product of (−x−3)(2x2+5x+8)
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Which sentence below best explains the process of upwelling
help ASAP
10 POINTS
find surface area and volume
Given that the following is a Rhombus, find the missing angles.
Answer:
1. 90
2. 61
3. 29
4. 61
Step-by-step explanation:
1 is a 90 degree angle. Triangles = 180 degrees
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The
quadratic function h = - 16ť+ 136t + 72 models the ball's height about the ground, h, in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
feet
b) How many seconds does it take until the ball hits the ground?
seconds
Answer:
I hope this helps.
Step-by-step explanation:
h(t) = -16t2 + 108t + 28
(a)
Maximum height occurs at the vertex of the height-vs.-time parabola, which is at
t = -108/[2(-16)] sec = ? sec
Evaluate h(t) at this value of t to get hmax.
(b)
Set h(t) = 0 and solve the quadratic equation for t. You will get a positive and a negative solution. Discard the negative solution, since time starts at t = 0.
The quadratic function, h = -16t + 136t + 72, gives us:
a) The maximum height of the ball is 360 feet.
b) The time taken by the ball to hit the ground is 9 seconds.
What is a quadratic function?A quadratic function is a function over a quadratic expression, that is, over an expression having degree 2.
How to solve the question?In the question, we are informed that a person standing close to the edge of a 72-foot building throws a ball vertically upward. The quadratic function h = -16t² + 136t + 72 models the ball's height above the ground, h in feet, t seconds after it was thrown.
We solve the following:-
a) What is the maximum height of the ball?
The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides. we get:
[tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] .
To get point of inflection, we equate this to 0, to get:
[tex]\frac{\delta h}{\delta t} = -32t + 136 = 0[/tex],
or, -32t + 136 = 0,
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate [tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] again, to get:
[tex]\frac{\delta^{2} h}{\delta t^{2} } = -32[/tex] , which is < 0, which that implies, h is maximum at t = 4.5.
Now, we calculate the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360.
Therefore, The maximum height of the ball is 360 feet.
b) How many seconds does it take until the ball hits the ground?
The time taken can be calculated by putting the value of h = 0, and solving the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get:
[tex]t = \frac{-(-136)\pm \sqrt{(-136)^{2} - 4(16)(-72)}}{2(16)}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{18496 + 4608}}{32}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{23104}}{32}[/tex] ,
or, [tex]t = \frac{136\pm 52}{32}[/tex]
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
Therefore, The time taken by the ball to hit the ground is 9 seconds.
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of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10
PLEASE HELP
solve the questions bellow
Answer:
1. 29.67°
2. 68.96°
3. 89.85°
Step-by-step explanation:
1. Reference angle = x
Opposite = 45 cm
Adjacent = 79 cm
Therefore:
[tex] tan(x) = \frac{45}{79} [/tex]
[tex] tan(x) = 0.569620253 [/tex]
[tex] x = tan^{-1}(0.569620253) [/tex]
[tex] x = 29.67 [/tex] (nearest hundredth)
2. Reference angle = B
Opposite = 14
Hypotenuse = 15
Therefore:
[tex] sin(B) = \frac{14}{15} [/tex]
[tex] sin(B) = 0.93333 [/tex]
[tex] B = sin^{-1}(0.93333) [/tex]
[tex] B = 68.96 [/tex] (nearest hundredth)
3. Reference angle = x
Adjacent = 238,900 mi
Hypotenuse = 92,955,807 mi
Therefore:
[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]
[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]
[tex] x = 89.85 [/tex] (nearest hundredth)
JELPPPPP it’s due in 5 mins
The answer is 65
Step-by-step explanation:
all you had to do was divide
What is m<1 and m<3 someone help me please
Answer:
m < 1 = 52
m < 3 = 52
Step-by-step explanation:
m < 8 = 128 therefore m < 4 = 128
1.) we know that m < 4 + m < 1 must equal 180
128 + m < 1 = 180
180 - 128 = m < 1
52 = m < 1
due to the position of m < 1 and m < 3, they are the exact same
x + 6 >10 or 3x + 11 ≤ −7
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
help me out please. what is 5 ÷ 9/10 ?
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
The following inequality has a solution in the form X > A. Solve the inequality and place the correct value of A into the box.
-17x - 10 > 7 - 20x
Answer: x > ______
Enter your answer as an integer or a reduced fraction in the form A/B.
What is Four more than twice a number is -10?
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
find the volume of the cone when it's diameter is 8.4 feet and height is 6feet.
Answer:
110.835389 ft3
Step-by-step explanation:
A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate
Answer:
B
Step-by-step explanation:
A building 11 stories has a glass enclosed elevator that goes up and down the outer wall of the building. From the 1st floor below the topmost floor you take the elevator and go down 5 floors. How many floors are you above the bottom floor?
HELP AGAIN PLSSSSSSSS
Answer:
5x5 = 25
hope this helps (again) :D
can someone help me please, i’ll give brainly. (10 points)
Answer:
Gradient of Line A: 0.75
Gradient of Line B: 0.8
Therefore the lines ARE NOT parallel.
Step-by-step explanation:
Find the gradient (slope) of line A and B respectively.
Line A Gradient:
Equation of line A is 3x - 4y = 5
Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).
Thus,
3x - 4y - 3x = -3x + 5
-4y = -3x + 5
Divide both sides by -4
y = ¾x + ⁵/4
The gradient = ¾ = 0.75
Line B Gradient:
Gradient of line passing through (4, 7) and (-1, 3)
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]
Gradient (m) = ⅘ = 0.8
Since both lines do not have the same gradient, therefore the lines are not parallel.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.
Answer:
A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02
the decision rule. Assume the standard deviation is known to be 11.011.0.
Step-by-step explanation:
Rewrite the following without an exponent. 6^-2
Please answer ASAP!
Answer:
Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Step-by-step explanation:
We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]
We need to solve the exponent to find the result.
We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
Now using this rule to solve the equation:
[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]
So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]