Answers
Answer:
30.5
Step-by-step explanation:
here :
n represents the number of trials
p represents the probability of success
In a binomial distribution, The mean
is equal to the product of those two values.
In other words,
The mean = n × p
= 122 × 0.25
= 30.5
Related Questions
Suppose the derivative of a function is ′()=(−7)^7(−2)^2(+13)^10. Then the function is increasing on the interval _____.
Answers
How do you round 56.053 to the nearest whole number
Answers
Answer:
56
Step-by-step explanation:
all your doing is removing the .053 to get your whole number
Complete the coordinate proof of the theorem.
Answers
The coordinate of C( a+c , b) , AC are ((a+c)/2 , b/2) , BD are ((a+c)/2 , b/2)
What are Coordinates ?Coordinates is the value assigned to a point in a x-y graph to determine its location.
The coordinates of parallelogram is
A ( 0,0) B (a,0) , C ( __ , ___) , D ( c , b)
The y coordinate is same as D as b
and the x coordinate will be a+c
C( a+c , b)
The coordinate of the mid point of AC are ((a+c)/2 , b/2)
The coordinate of the mid point of BD are ((a+c)/2 , b/2)
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A horse was galloping at average speed of 50km/hr for the first 12 minutes. For the next x minutes, the horse slowed down and it’s average speed decreases to 30km/hr. The average speed of the horse for the whole journey is 45km/h. Find its total distance travelled in kilometres
Answers
The total distance travelled is 1075.91 km.
What is average speed?The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity.
45 * (x +12)= 50* 1/5 + 1/2 *x
45x + 540= 10+ 0.5 x
44.5 x = 530
x= 11.91 (neglect the negative sign cause time can't be negative)
So, distance= 45* 23.91 = 1075.91 Km
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Somebody please assist me solve
(2) The number of incoming calls reaching the switchboard of a computer per minute is thought to be a Poisson random variable with rate 6.5. Compute
i)The probability that during any given minute, the switchboard will
receive between 4 and 6 calls inclusive.
ii)The probability that the operator will have a breathing spell of at least
30 seconds between successive calls.
iii)The mean time lag between two calls.
Answers
P(4) = (e^-6.5 x 6.5^4) / 4! = 0.111822…
P(5) = (e^-6.5 x 6.5^5) / 5! = 0.145368…
P(6) = (e^-6.5 x 6.5^6) / 6! = 0.157829…
P(between 4 and 6 inclusive) = 0.111822… + 0.145368… + 0.157829… = 0.4150 (4sf)
In a 30 second interval λ = 6.5 / 2 = 3.25
P(0) = (e^-3.25 x 3.25^0) / 0! = 0.03877
The probability of getting no calls in a 30 second interval is 0.03877 (ie less than 4%)
If the average number of calls in a minute is 6.5 then the average interval between calls will be 60/6.5 = 9.23 seconds.
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall. How many more inches does Caden need to grow before he is tall enough to ride the Super Slide?
Answers
Caden needs to grow 4 inches tall enough to ride the Super Slide.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that:-
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall.Caden's height = 4 feet
Min height to ride the Super slide is = 52 inches
Caden's height in inches will be:-
1 feet = 12 inches
4 feet = 12 x 4 = 48 inches.
The difference between the height will be given as:-
D = 50 - 48 = 4 inches
So Caden should grow his height by 4 inches to ride the super slide.
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? Question
Write an expression to represent the perimeter of Melissa's garden in terms of x.
Type the correct answer in each box. Use numerals instead of words.
Perimeter:
Question 3
? Question
x +
Answers
The expression for length and breadth of the rectangle garden in terms of the side of the square tomato patch.
l=3x+2
b=x+5
The linear equation is the equation where the highest degree of the variables is 1.
Here given that the garden is rectangular in shape and the tomato patch is square in shape.
the length of the side of the square tomato patch is x.
Asuume the length of the rectangle garden is l
and the breadth of the rectangle garden is b.
Given that
the length of the garden is greater than the 3 times of the length of the rectangular garden by 2 feet.
3 times of the length of the rectangular garden is 3x
2 feet greater than 3 times of the length of the rectangular garden= 3x+2
so from above, it is clear that l=3x+2
similarly, the breadth of the garden is greater than the length of the rectangular garden by 5 feet.
then the breadth of the garden = b= x+5
Therefore the expression for length and breadth of the rectangle garden in terms of the side of the square tomato patch.
l=3x+2
b=x+5
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What is the domain of the function shown on the graph?
Answers
The asnwer is C
for finding domain look at just x-axis from left to right , because there are arrows , so domain is all real numbers or from negative infinity to positive infinity
Please give brainliest
Assume the domain of the function is {1,2,3,...}. Determine the theta notation for the function f(n)=7n^2+4n+2
Answers
We have that O(n²) is the theta notation for 7n² + 4n + 2.
Let's give big-Oh a formal definition:
O(g(n)) = {the set of all f such that 0 [tex]\leq[/tex] f(n) [tex]\leq[/tex] cg(n) for any n >= n₀ fulfilling positive constants c and n₀}
To show this
We need to find c and n₀ such that:
7n² + 4n + 2 <= cn² for all n >= n₀ .
Divide both sides by n², getting:
7 + 4/n + 2/(n²) <= c for all n >= n₀ .
If we choose n₀ equal to 1, then we need a value of c such that:
7 + 4 + 2 <= c
We can set c equal to 13. Now we have:
7n² + 4n + 2 <= 13n² for all n >= 1 .
Hence, 7n² + 4n + 2=O(n²)
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Students were asked to prove the identity (sec x)(csc x) = cot x + tan x.
Answers
Let's prove that (sec x)(csc x) is equal to cot x + tan x
[tex]\Longrightarrow \sf (sec(x) )(csc(x))[/tex]
[tex]\Longrightarrow \sf \dfrac{1}{\cos \left(x\right)\sin \left(x\right)}[/tex]
[tex]\Longrightarrow \sf \dfrac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)}[/tex]
[tex]\Longrightarrow \sf \dfrac{\cos ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)} + \dfrac{\sin ^2\left(x\right)}{\cos \left(x\right)\sin \left(x\right)}[/tex]
[tex]\Longrightarrow \sf \dfrac{\cos\left(x\right)}{\sin \left(x\right)} + \dfrac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]
[tex]\Longrightarrow \sf cot(x) + tan(x)[/tex]
Hence student A did correctly prove the identity properly.
Also Looking at student B's work, he verified the identity properly.
So, Both are correct in their own way.
Part BIdentities used:
[tex]\rightarrow \sf sin^2 (x) + cos^2 (x) = 1[/tex] (appeared in step 3)
[tex]\sf \rightarrow \dfrac{cos(x) }{sin(x) } = cot(x)[/tex] (appeared in step 6)
[tex]\rightarrow \sf \dfrac{sin(x )}{cos(x) } = tan(x)[/tex] (appeared in step 6)
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. The doctor recommends rest if the patient has the flu. The doctor recommends rest. not possible The patient does not have the flu. If the doctor recommends rest, the patient has the flu. The patient has the flu.
Answers
The doctor recommends rest if the patient has the flu. Then the correct option is A.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Read the following two statements.
Then, if possible, use the Law of Detachment to draw a conclusion.
Then the correct option is A.
The doctor recommends rest if the patient has the flu.
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Please help with this difficult one...
Answers
The composite function is given as follows:
[tex](f \circ g)(x) = \frac{2x + 6}{3x + 22}[/tex]
The domain of the composite function is: [tex]\mathbb{R} - \left\{-\frac{22}{3}, 3\right\}[/tex]
What is the composite function of f(x) and g(x)?The composite function is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this problem, the functions are:
[tex]f(x) = \frac{2}{x + 3}[/tex].[tex]g(x) = \frac{13}{x + 3}[/tex].Hence the composite function is:
[tex](f \circ g)(x) = f\left(\frac{13}{x + 3}\right) = \frac{2}{\frac{13}{x + 3} + 3} = \frac{2(x + 3)}{13 + 3(x + 3)} = \frac{2x + 6}{3x + 22}[/tex]
For the domain, we have to remove the points outside the domain of both the primitive and the composite functions, that is, the zeroes of the denominators, hence:
[tex]x + 3 \neq 0 \rightarrow x \neq 3[/tex]
[tex]3x + 22 \neq 0 \rightarrow x \neq -\frac{22}{3}[/tex]
Hence the domain is:
[tex]\mathbb{R} - \left\{-\frac{22}{3}, 3\right\}[/tex]
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Let (-7,3) be a point of terminal side of 0
Find Cos Sec Cot
Answers
The trigonometry ratios are cos(θ) = -7/√58, sec(θ) = -√58/7 and cot(θ) = -7/3
How to determine the trigonometry ratios?The point on the terminal side is given as:
(x, y) = (-7, 3)
Start by calculating the hypotenuse using:
[tex]h= \sqrt{x^2 + y^2[/tex]
So, we have:
[tex]h= \sqrt{(-7)^2 + 3^2[/tex]
Evaluate
[tex]h= \sqrt{58[/tex]
The cosine is then calculated using:
cos(θ) = x/h
This gives
cos(θ) = -7/√58
The secant is then calculated using:
sec(θ) = 1/cos(θ)
This gives
sec(θ) = -√58/7
The cotangent is then calculated using:
cot(θ) = cos(θ)/sin(θ)
Where
sin(θ) = y/h
So, we have:
sin(θ) = 3/√58
So, we have:
cot(θ) = (-7/√58)/(3/√58)
This gives
cot(θ) = -7/3
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Help pls ???????????
Answers
The second derivative of the first function is s"(x) = = -[8e^(x/5) - 2]e^(x/5)/25(e^(x/5) + 2)³.
The second derivative of the second function is; k''(t) = (36t² - 6)e^(-3t²)
How to find the second derivative?1) We are given the function;
s(x) = 4/(1 + 2e^(-0.2x)
First derivative is;
ds/dx = [8e^(x/5)]/5(e^(x/5) + 2)²
Second Derivative is;
d²s/dx² = -[8e^(x/5) - 2]e^(x/5)/25(e^(x/5) + 2)³
At x = 0;
d²s/dx² = -[8e^(0/5) - 2]e^(0/5)/25(e^(0/5) + 2)³
d²s/dx² = 8/675
B) We are given the function;
k(t) = e^(-3t²)
The first derivative is;
dk/dt = -6te^(-3t²)
The second derivative is;
k''(t) = (36t² - 6)e^(-3t²)
At t = 1, we have;
k''(t) = (36(1)² - 6)e^(-3(1²))
k"(t) = 1.494
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Complete the following table using the equation: y = -2x²
Answers
The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The equation of the parabola will be
y = -x²
The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
The graph of the function is given below.
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given: f(x)=2x^2 and g(x)=x-8. Find f(g(x))
Answers
The value of the composite function f(g(x)) is 2(x-8)^2
Composite functionsComposite functions are functions in another function. Given the following functions
f(x)=2x^2 and
g(x)=x-8
Determine f(g(x))
f(g(x)) = f(x-8)
f(x-8) = 2(x-8)^2
f(g(x)) = 2(x-8)^2
Hence the value of the composite function f(g(x)) is 2(x-8)^2
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I need this whole page solved please
Answers
Answer:
5. 540°
Step-by-step explanation:
m<a + m<c = 180°
m<h + m<f = 180°
m<k + m<m = 180°
Then m<a + m<c + m<h + m<f + m<k + m<m = 180° x 3 = 540°
what is the name of the shape graphed by the function theta=-4pie/3
Answers
Step-by-step explanation:
On a polar plane, the shape will be a line that goes through the pi/2- pi quadrant , and 3pi/2- 2pi quadrant
On a Cartesian or rectangular plane, the shape will be a line as well passing through 2nd and 4th quadrant
Evaluate the expression.
-2(12 - 2 (-4))²
What is the value of the expression?
Enter your answer in the box.
Answers
Answer:
-2(10(-4))²
-2(-40)²
-2 × 1600
= -3200
Answer: = -3200
Step-by-step explanation:
took the test
Given the data set (4,85),(7,92),(14,110), which of the following equation best represents a line of best fit
Answers
I need the answer to this equation
Answers
25. Which of the following expresses 374,274
in scientific notation?
(1)
(2)
(3)
3.74274 x 105
3.74274 x 106
37.4274 X 106
374.274
x 105
× 103
(4)
(5) 3742.74
Ite
Answers
Answer:
3
Step-by-step explanation:
374274 =3.74274 x 100000=3.74272x 10^5
. Solve for the missing value (x).
Include the correct unit of measure in your answer.
12.5mg : 5mL = 24mg : x mL
Answers
The missing value of x will be 9.6 mL.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The equation is given below.
12.5 mg : 5 mL = 24 mg : x mL
Then the value of x will be
12.5 / 5 = 24 / x
x = (24 × 5) / 12.5
x = 9.6 mL
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I need someone to do this for me please!
Thank you so much in advance :D
Answers
Answer:
[tex] \cfrac{61}{24} [/tex]
Step-by-step explanation:
Given expression:
[tex] \cfrac{2}{3} + \bigg(\cfrac{5}{2} \bigg) {} ^{ 2} \times \cfrac{3}{10} [/tex]
Solution:
Simplify using PEMDAS.
[tex] = \sf \cfrac{2}{3} + \cfrac{25}{4} \times \cfrac{3}{10} \\ \\ = \cfrac{2}{3} + \cfrac{15}{8} \\ \\ = \cfrac{16 +45 }{24} \\ \\ = \boxed{\cfrac{61}{24} }[/tex]
Done!
Answer:
[tex]\frac{61}{24}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + ( [tex]\frac{5}{2}[/tex] )² × [tex]\frac{3}{10}[/tex] ← evaluate exponent
= [tex]\frac{2}{3}[/tex] + [tex]\frac{25}{4}[/tex] × [tex]\frac{3}{10}[/tex] ← evaluate multiplication ( cancel 25 and 10 by 5 )
= [tex]\frac{2}{3}[/tex] + [tex]\frac{5}{4}[/tex] × [tex]\frac{3}{2}[/tex]
= [tex]\frac{2}{3}[/tex] + [tex]\frac{15}{8}[/tex] ← evaluate addition
= [tex]\frac{2(8)}{3(8)}[/tex] + [tex]\frac{15(3)}{8(3)}[/tex]
= [tex]\frac{16}{24}[/tex] + [tex]\frac{45}{24}[/tex]
= [tex]\frac{61}{24}[/tex]
PLEASE ITS DUE TODAY
Complete the table for the given rule
Rule: Y = 4x
X | Y
5
3
4
Answers
Answer:
Answers are 20, 12 and 16
Step-by-step explanation:
Y=4x
for x = 5
y=4(5)
y=20
for x = 3
y=4(3)
y=12
for x = 4
y=4(4)
y=16
Answer:
X I Y
5 20
3 12
4 16
Step-by-step explanation:
since y=4 multiplied by x
so, 5x4=20
3x4=12
4x4=16
helpp me please
Find the missing term.
The roots of x2 − ( ) + 34 are 5 ± 3i.
Answers
Answer: 10
Step-by-step explanation:
The sum of the roots is [tex](5+3i)+(5-3i)=10[/tex], so the answer is 10
hey
can someone solve this 4 me
Answers
Answer:
∠a = 50°
∠b = 130°
∠c = 130°
Explanation:
Following Vertical Angles Theorem:
∠(2a - 50) = ∠a2a - 50 = a2a - a = 50a = 50A straight line has 180° angle measure, ∠c and ∠a lies on a straight line
∠c + ∠a = 180°∠c + 50° = 180°∠c = 180° - 50°∠c = 130°Also, following vertical angle theorem:
∠b = ∠c∠b = 130°Translate this sentence into an equation. Craig's savings decreased by 23 is .55
Answers
Answer:
x-23=.55
Step-by-step explanation:
Answer: 0.55 = x - 23
Step-by-step explanation:
let his savings = x
Which is the best description for the graph below?
Answers
Circle G is shown. Line segment F G is a radius with length 3.
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.
What is the area of Maria’s circle?
6Pi units squared
9Pi units squared
12Pi units squared
18Pi units squared
Answers
The area of Maria’s circle is 18π square units option fourth is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
The figure is missing.
Please refer to the attached picture for the figure.
We have given the radius of the circle as 3 units
r = 3 units
Area of circle = πr² = π(3)² = 9π square units
The area of Maria’s circle = 2(9π) = 18π square units
Thus, the area of Maria’s circle is 18π square units option fourth is correct.
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