Answer:
0.22514
Step-by-step explanation:
Given :
1 answer from 4 options
p = 1/4 = 0.25 ; q = 1 - 0.25 = 0.75
n = 20
P(x ≤ 3) = p(x =0) +p(x=1) + p(x=2) +p(x=3)
P(x = x) = nCr * p^x * q^(n-r)
p(x =0) = 20C0 * 0.25^0 * 0.75^20 = 0.00317
p(x =1) = 20C1 * 0.25^1 * 0.75^19 = 0.02114
p(x =2) = 20C2 * 0.25^2 * 0.75^18 = 0.06694
p(x =3) = 20C3 * 0.25^3 * 0.75^17 = 0.13389
P(x ≤ 3) = 0.00317+0.02114+0.06694+0.13389 = 0.22514
What's the right answer?
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
ANSWER ASAP DONT SEND A FILE. WHAT IS THE TRANSFORMATION??
Answer:
1st one.
Step-by-step explanation:
PLEASE HELP ASAP 50 POINTS! real answers only or will be reported and deleted!
Find the probability of “landing” in the shaded region of the figures below.
9514 1404 393
Answer:
3/16
Step-by-step explanation:
The radii of the three circles appear to be in the ratios ...
5 : 10 : 20 = 1 : 2 : 4
Then the areas of the circles will be in the ratios that are the square of these:
1 : 4 : 16
The shaded area is the area of the middle-sized circle, less the area of the smaller circle, so is 4-1 = 3 "ratio units". The ratio of that area to the area of the largest circle is the probability of randomly choosing a point in the shaded area:
p(shaded) = 3/16
Answer:
3/16
Step-by-step explanation:
i took the test
plzzz answer thisss
Answer:
I think it's B
Step-by-step explanation:
A Sociology student investigated the association between a country's Literacy Rate and Life Expectancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)
a) The $$R^2$$ of 64% means that the Literacy Rate determines 64% of the Life Expectancy for a country.
b) The slope of the line shows that an increase of 5% in Literacy Rate will produce a 2-year improvement in Life Expectancy.
Solution :
The term 'literacy rate' provides the ability of a person who is from a definite age group can read or write.
a). [tex]$R^2$[/tex] does not determine the rate at which the variable explains another, but it explains the amount the amount of variability in one of the variables as explained by the other variable.
b). The slope given provides an expected improvement but it cannot guarantee the improvement. The value may be less or it could be more also.
The regression model provides the prediction and not the actual values.
The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?
Answer:
33.75 miles
Step-by-step explanation:
[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]
1 × y = 2.25 × 15
y = 33.75
The triangle is a(n) ___ triangle
Answer:
Acute
Step-by-step explanation:
two of the angles are acute and the other is right.
Which statement correctly compares the graph of function g with the graph of function ?
f(x) = e^x - 4
g(x) = ½e^x - 4
A. The graph of function gis a vertical compression of the graph of function f.
B. The graph of function gis a vertical stretch of the graph of function f.
C. The graph of function g is a horizontal shift of the graph of function fto the right.
D. The graph of function gis a horizontal shift of the graph of function fto the left.
Answer:
B The graph of function gis a vertical stretch of the graph of function f.
Step-by-step explanation:
PLATO
The correct statement correctly compares the graph of function g with the graph of function is,
⇒ The graph of function g is a vertical stretch of the graph of function f.
Option B is true.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The graph of the function are,
⇒ f (x) = eˣ - 4
⇒ g (x) = 1/2 eˣ - 4
Now,
We can draw the graph of the function by using tool.
Hence, By graph of the functions, We get;
The graph of function g is a vertical stretch of the graph of function f.
Thus, The correct statement correctly compares the graph of function g with the graph of function is,
⇒ The graph of function g is a vertical stretch of the graph of function f.
Learn more about the function visit:
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Sheena has 3/4 cup of sugar. She used half of the sugar to make pancakes. How much sugar is left? (Show work)
Find the value of x.
Answer:
20°
Step-by-step explanation:
4x+40+3x=180
7x=180-40
7x=140
x =20°
1.) Apply the distribute property, 3 (2x + 4)
Answer:
6x+12
Step-by-step explanation:
2x*3= 6x
4*3= 12
6x+12
hope this helps
what is this please help
Answer:
-20
Step-by-step explanation:
Simplify the real and imaginary parts of the expression.
3x-2w cuando x = -1 y w = -3
Answer:
3
Step-by-step explanation:
3(-1)-2(-3)
What expression defines Sn?
Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
Find the midpoint of the segment with endpoints of (-4,5) and (1,3) and enter
its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.
Answer:
(-3/2, 4)
Step-by-step explanation:
mid point formula
The number of pets is shown for houses on four different streets. Which data set fits a normal distribution curve?
O 3, 5, 4, 3, 4, 5, 4, 3, 4, 5, 3, 4,3,4,5,4,5,5, 4,5
O 2, 1, 4, 5, 3, 2, 1, 2, 3, 5, 6, 4, 5, 2, 2, 3, 4, 5, 2,7
O 0,3, 4, 2, 1, 4, 0,5, 4, 6, 4, 3, 4, 2, 1, 5, 6, 4, 3,5
4, 7, 8, 9, 0, 6, 5, 6, 8, 7, 1, 2, 3, 4, 5,3,4,6,7,7
Answer:65454545
Step-by-step explanation:
Calculate the amount in an account at the end of one year if the account starts with the principal amount stated below and earns the specified annual rate of interest compounded yearly.
Principal = $3,000 Rate = 4%
Answer:
$3120Step-by-step explanation:
Principal P = $3000Rate r = 4% = 0.04 timesInterest type = compoundNumber of compounds n = 1Time t = 1 yearFuture amount is:
FA = P(1 + r)^(nt)FA = 3000(1 + 0.04)^1 = $3120Explain
Find all the values of x for which the statement is true, |x^2+9|=x^2+9
Which of the following is(are) the solution(s) to |7x +12|= 12?
O A. x = -24,0
O B. x= 24,0
24
O C. X=-
O D. x = 0
Answer:
the answer is B because theres no negative
Pls help Homework is due tomorrow and Im not sure about the answer!
Answer:
The picture isn't clear enough.
Miles picked 12 bushels of vegetables in 3 hours. Working at the same rate, how many bushels
can Miles pick in 5% hours?
Plz help
Answer: 22 bushels
Step-by-step explanation:
First find how many bushels can be done in an hour. Then multiply the bushels by the hours
А
square has an area of 1 square unit. What is the length of the square?
Answer:
0.25 on each side
Step-by-step explanation:
Step-by-step explanation:
a leak in the pool causes the height of the water to decrease by 0.25 foot over 2 hours after a leak is fixed the height of the water is 4.75 C the equation 4.75 equals x + quotation 0 - -2.5 could be used to find the original height of the water in the pool
what is the reciprocal of 453463.432849
Answer: 0.00000220524
Step-by-step explanation:
The scores of two basketball teams in 7 games are given below.
Team A: 18, 68, 60, 54, 58, 55, 63
Team B: 52, 62, 54, 71, 49, 54, 22
Based on the data, which statement is correct?
A. Team B scores on average more points than team A because team B
has a greater mean than team A.
B. Team A scores on average more points than team B because team A
has a greater mean than team B.
C. Team B scores on average more points than team A because team B
has a greater range than team A.
D. Team A scores on average more points than team B because team A
has a greater range than team B
Answer:The answer is C
Step-by-step explanation:because to slove from range you have subtract the highest number from the lowest number from each team.Meaning ,that Team A range is 45 ,and Team B is 49 whice means that Team B is automatically the highest,so team B had more scores than team A.
Susan has a blue skirt, a green skirt, and a gray skirt. She also has a white sweater, a purple sweater, and a green sweater.
If she randomly selects her outfit, what is the probability she will select the gray skirt and the purple sweater to wear to work that day?
PLSS HELP PLS EXPLAIN WITH FULL EXPLANATION
Answer:
Cant give sorry
Step-by-step explanation:
I can't give u the answer but I can give u how to find the part of the triangle.
Area of a triangle is Base × High ÷2
Kyle and Jorge play for a major league baseball team.
• Kyle has hit x number of home runs this season.
• Jorge has hit 4 times the number of Kyle's home runs.
Together they have hit 45 home runs.
How many home rns has Kyle hit?
The number of home runs hit by Kyle is 9.
Number of home runs by Kyle =x
So, the number of home runs by Jorge = 4x
What is the sum of x and 4x?The sum of x and 4x is 5x.
According to the question, together they have hit 45 home runs.
This means, x+4x=45
5x=45
x=9
So, the number of home runs by Kyle =9
the number of home runs by Jorge =36
Hence, the number of home runs hit by Kyle is 9.
To get more about such word problems visit:
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(I also need an explanation)
Answer: 360000
Step-by-step explanation:yes because they want to reach to faster before the others to come and they have lot of feet that they can use
Help please I need help
Answer: z = 12
Step-by-step explanation:
Opposite angles are equal.
So...
5z +8 = 4z + 20
Solve for z...
5z = 4z + 12
z = 12
Need help really bad please !! Help me answer these questions
Answer:
2
Step-by-step explanation:
2